TSTP Solution File: SWV911-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 17:07:59 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 306
% Syntax : Number of formulae : 554 ( 219 unt; 0 def)
% Number of atoms : 1038 ( 145 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 887 ( 403 ~; 319 |; 0 &)
% ( 165 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 189 ( 187 usr; 166 prp; 0-6 aty)
% Number of functors : 45 ( 45 usr; 13 con; 0-5 aty)
% Number of variables : 801 ( 801 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1685,plain,
$false,
inference(avatar_sat_refutation,[],[f854,f859,f864,f869,f874,f879,f884,f889,f894,f899,f904,f909,f914,f919,f924,f929,f934,f939,f944,f953,f957,f962,f969,f974,f981,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1026,f1030,f1034,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1078,f1082,f1086,f1090,f1094,f1098,f1102,f1106,f1112,f1119,f1123,f1129,f1135,f1139,f1143,f1147,f1151,f1155,f1162,f1166,f1170,f1176,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1212,f1217,f1221,f1225,f1229,f1234,f1239,f1243,f1248,f1254,f1259,f1264,f1268,f1273,f1277,f1281,f1285,f1290,f1294,f1298,f1302,f1307,f1311,f1318,f1327,f1331,f1335,f1339,f1343,f1347,f1351,f1355,f1359,f1363,f1367,f1371,f1375,f1380,f1385,f1389,f1393,f1397,f1401,f1406,f1410,f1414,f1419,f1423,f1427,f1431,f1435,f1439,f1443,f1447,f1452,f1476,f1480,f1492,f1514,f1518,f1522,f1526,f1530,f1534,f1538,f1542,f1546,f1550,f1554,f1558,f1562,f1566,f1570,f1575,f1579,f1583,f1587,f1591,f1596,f1638,f1655,f1659,f1663,f1667,f1671,f1675,f1679,f1683,f1684]) ).
fof(f1684,plain,
( ~ spl0_20
| spl0_59
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1592,f1512,f1116,f946]) ).
fof(f946,plain,
( spl0_20
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1116,plain,
( spl0_59
<=> hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1512,plain,
( spl0_137
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1592,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| spl0_59
| ~ spl0_137 ),
inference(resolution,[],[f1513,f1118]) ).
fof(f1118,plain,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q)))
| spl0_59 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1513,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1683,plain,
spl0_165,
inference(avatar_split_clause,[],[f508,f1681]) ).
fof(f1681,plain,
( spl0_165
<=> ! [X67,X0,X69,X28] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X69,X67,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X69,X0)
| c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f508,axiom,
! [X28,X0,X69,X67] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X69,X67,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X69,X0)
| c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f1679,plain,
spl0_164,
inference(avatar_split_clause,[],[f342,f1677]) ).
fof(f1677,plain,
( spl0_164
<=> ! [X41,X43,X44,X31,X32,X39] :
( X39 = X41
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f342,axiom,
! [X31,X41,X39,X44,X32,X43] :
( X39 = X41
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_0) ).
fof(f1675,plain,
spl0_163,
inference(avatar_split_clause,[],[f341,f1673]) ).
fof(f1673,plain,
( spl0_163
<=> ! [X41,X43,X44,X31,X32,X39] :
( X31 = X43
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f341,axiom,
! [X31,X41,X39,X44,X32,X43] :
( X31 = X43
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_1) ).
fof(f1671,plain,
spl0_162,
inference(avatar_split_clause,[],[f340,f1669]) ).
fof(f1669,plain,
( spl0_162
<=> ! [X41,X43,X31,X44,X32,X39] :
( X32 = X44
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f340,axiom,
! [X31,X41,X39,X44,X32,X43] :
( X32 = X44
| c_Com_Ocom_OCond(X39,X43,X44) != c_Com_Ocom_OCond(X41,X31,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_2) ).
fof(f1667,plain,
spl0_161,
inference(avatar_split_clause,[],[f337,f1665]) ).
fof(f1665,plain,
( spl0_161
<=> ! [X0,X7] : c_The(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X7),X0) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f337,axiom,
! [X0,X7] : c_The(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X7),X0) = X7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__eq__trivial_0) ).
fof(f1663,plain,
spl0_160,
inference(avatar_split_clause,[],[f79,f1661]) ).
fof(f1661,plain,
( spl0_160
<=> ! [X5,X4,X0] :
( ~ c_HOL_Oord__class_Oless(X4,X5,tc_fun(X0,tc_bool))
| c_lessequals(X4,X5,tc_fun(X0,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f79,axiom,
! [X0,X4,X5] :
( ~ c_HOL_Oord__class_Oless(X4,X5,tc_fun(X0,tc_bool))
| c_lessequals(X4,X5,tc_fun(X0,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_0) ).
fof(f1659,plain,
spl0_159,
inference(avatar_split_clause,[],[f5,f1657]) ).
fof(f1657,plain,
( spl0_159
<=> ! [X5,X4,X0] :
( ~ c_Finite__Set_Ofinite(X5,X0)
| c_Finite__Set_Ofinite(X4,X0)
| ~ c_lessequals(X4,X5,tc_fun(X0,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f5,axiom,
! [X0,X4,X5] :
( ~ c_Finite__Set_Ofinite(X5,X0)
| c_Finite__Set_Ofinite(X4,X0)
| ~ c_lessequals(X4,X5,tc_fun(X0,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).
fof(f1655,plain,
( ~ spl0_21
| spl0_92
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1615,f1548,f1270,f950]) ).
fof(f950,plain,
( spl0_21
<=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1270,plain,
( spl0_92
<=> hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1548,plain,
( spl0_146
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1615,plain,
( ~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| spl0_92
| ~ spl0_146 ),
inference(resolution,[],[f1549,f1272]) ).
fof(f1272,plain,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H)))
| spl0_92 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1549,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1638,plain,
( spl0_158
| ~ spl0_99
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1571,f1568,f1300,f1636]) ).
fof(f1636,plain,
( spl0_158
<=> ! [X4,X0,X7] : hAPP(hAPP(c_Set_Oinsert(X0),X7),X4) != c_COMBK(c_False,tc_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1300,plain,
( spl0_99
<=> ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1568,plain,
( spl0_151
<=> ! [X4,X0,X7] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X0),X7),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1571,plain,
( ! [X0,X7,X4] : hAPP(hAPP(c_Set_Oinsert(X0),X7),X4) != c_COMBK(c_False,tc_bool,X0)
| ~ spl0_99
| ~ spl0_151 ),
inference(forward_demodulation,[],[f1569,f1301]) ).
fof(f1301,plain,
( ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1569,plain,
( ! [X0,X7,X4] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X0),X7),X4)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1596,plain,
spl0_157,
inference(avatar_split_clause,[],[f634,f1594]) ).
fof(f1594,plain,
( spl0_157
<=> ! [X0,X7,X8] :
( ~ hBOOL(c_in(X8,hAPP(c_fequal(X0),X7),X0))
| X7 = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f634,plain,
! [X0,X8,X7] :
( ~ hBOOL(c_in(X8,hAPP(c_fequal(X0),X7),X0))
| X7 = X8 ),
inference(forward_demodulation,[],[f633,f588]) ).
fof(f588,plain,
! [X0,X7] : hAPP(c_fequal(X0),X7) = hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),
inference(forward_demodulation,[],[f587,f568]) ).
fof(f568,plain,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0),
inference(forward_demodulation,[],[f373,f203]) ).
fof(f203,axiom,
! [X0,X34] : c_Collect(X34,X0) = X34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f373,axiom,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__def_0) ).
fof(f587,plain,
! [X0,X7] : hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = hAPP(c_fequal(X0),X7),
inference(forward_demodulation,[],[f461,f203]) ).
fof(f461,axiom,
! [X0,X7] : hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(hAPP(c_fequal(X0),X7),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f633,plain,
! [X0,X8,X7] :
( ~ hBOOL(c_in(X8,hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),X0))
| X7 = X8 ),
inference(forward_demodulation,[],[f479,f568]) ).
fof(f479,axiom,
! [X0,X8,X7] :
( X7 = X8
| ~ hBOOL(c_in(X8,hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
fof(f1591,plain,
spl0_156,
inference(avatar_split_clause,[],[f631,f1589]) ).
fof(f1589,plain,
( spl0_156
<=> ! [X0,X7] :
( hAPP(c_fequal(X0),X7) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X0)
| ~ class_Orderings_Oorder(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f631,plain,
! [X0,X7] :
( hAPP(c_fequal(X0),X7) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(forward_demodulation,[],[f630,f588]) ).
fof(f630,plain,
! [X0,X7] :
( c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X0) = hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0))
| ~ class_Orderings_Oorder(X0) ),
inference(forward_demodulation,[],[f483,f568]) ).
fof(f483,axiom,
! [X0,X7] :
( ~ class_Orderings_Oorder(X0)
| hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastAtMost__singleton_0) ).
fof(f1587,plain,
spl0_155,
inference(avatar_split_clause,[],[f623,f1585]) ).
fof(f1585,plain,
( spl0_155
<=> ! [X0] :
( c_Orderings_Obot__class_Obot(X0) = c_Complete__Lattice_OSup__class_OSup(c_COMBK(c_False,tc_bool,X0),X0)
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f623,plain,
! [X0] :
( c_Orderings_Obot__class_Obot(X0) = c_Complete__Lattice_OSup__class_OSup(c_COMBK(c_False,tc_bool,X0),X0)
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
inference(forward_demodulation,[],[f460,f568]) ).
fof(f460,axiom,
! [X0] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
| c_Orderings_Obot__class_Obot(X0) = c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__empty_0) ).
fof(f1583,plain,
spl0_154,
inference(avatar_split_clause,[],[f570,f1581]) ).
fof(f1581,plain,
( spl0_154
<=> ! [X4,X0] : c_HOL_Ominus__class_Ominus(X4,c_COMBK(c_False,tc_bool,X0),tc_fun(X0,tc_bool)) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f570,plain,
! [X0,X4] : c_HOL_Ominus__class_Ominus(X4,c_COMBK(c_False,tc_bool,X0),tc_fun(X0,tc_bool)) = X4,
inference(forward_demodulation,[],[f308,f568]) ).
fof(f308,axiom,
! [X0,X4] : c_HOL_Ominus__class_Ominus(X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
fof(f1579,plain,
spl0_153,
inference(avatar_split_clause,[],[f569,f1577]) ).
fof(f1577,plain,
( spl0_153
<=> ! [X4,X0] : c_HOL_Ominus__class_Ominus(X4,X4,tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f569,plain,
! [X0,X4] : c_HOL_Ominus__class_Ominus(X4,X4,tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0),
inference(forward_demodulation,[],[f307,f568]) ).
fof(f307,axiom,
! [X0,X4] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X4,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
fof(f1575,plain,
spl0_152,
inference(avatar_split_clause,[],[f522,f1573]) ).
fof(f1573,plain,
( spl0_152
<=> ! [X12] :
( ~ class_Orderings_Obot(X12)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X12)),v_x) = c_Orderings_Obot__class_Obot(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f522,axiom,
! [X12] :
( ~ class_Orderings_Obot(X12)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X12)),v_x) = c_Orderings_Obot__class_Obot(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
fof(f1570,plain,
spl0_151,
inference(avatar_split_clause,[],[f509,f1568]) ).
fof(f509,axiom,
! [X0,X7,X4] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X0),X7),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
fof(f1566,plain,
spl0_150,
inference(avatar_split_clause,[],[f448,f1564]) ).
fof(f1564,plain,
( spl0_150
<=> ! [X0,X28,X67] :
( c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0)
| ~ c_lessequals(X67,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f448,axiom,
! [X28,X0,X67] :
( c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0)
| ~ c_lessequals(X67,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).
fof(f1562,plain,
spl0_149,
inference(avatar_split_clause,[],[f325,f1560]) ).
fof(f1560,plain,
( spl0_149
<=> ! [X5,X0,X7] : c_lessequals(X5,hAPP(hAPP(c_Set_Oinsert(X0),X7),X5),tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f325,axiom,
! [X0,X7,X5] : c_lessequals(X5,hAPP(hAPP(c_Set_Oinsert(X0),X7),X5),tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f1558,plain,
spl0_148,
inference(avatar_split_clause,[],[f288,f1556]) ).
fof(f1556,plain,
( spl0_148
<=> ! [X2,X0] :
( ~ class_Lattices_Obounded__lattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),c_Orderings_Obot__class_Obot(X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f288,axiom,
! [X2,X0] :
( ~ class_Lattices_Obounded__lattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),c_Orderings_Obot__class_Obot(X0)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
fof(f1554,plain,
spl0_147,
inference(avatar_split_clause,[],[f287,f1552]) ).
fof(f1552,plain,
( spl0_147
<=> ! [X2,X0] :
( ~ class_Lattices_Obounded__lattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Obot__class_Obot(X0)),X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f287,axiom,
! [X2,X0] :
( ~ class_Lattices_Obounded__lattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Obot__class_Obot(X0)),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
fof(f1550,plain,
( spl0_146
| ~ spl0_26
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1178,f1174,f978,f1548]) ).
fof(f978,plain,
( spl0_26
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1174,plain,
( spl0_71
<=> ! [X64,X76,X71] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1178,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H))) )
| ~ spl0_26
| ~ spl0_71 ),
inference(resolution,[],[f1175,f980]) ).
fof(f980,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1175,plain,
( ! [X71,X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1546,plain,
spl0_145,
inference(avatar_split_clause,[],[f242,f1544]) ).
fof(f1544,plain,
( spl0_145
<=> ! [X5,X4,X0] : c_lessequals(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X0,tc_bool)),X4,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f242,axiom,
! [X0,X4,X5] : c_lessequals(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X0,tc_bool)),X4,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
fof(f1542,plain,
spl0_144,
inference(avatar_split_clause,[],[f238,f1540]) ).
fof(f1540,plain,
( spl0_144
<=> ! [X2,X0,X3] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f238,axiom,
! [X2,X3,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f1538,plain,
spl0_143,
inference(avatar_split_clause,[],[f237,f1536]) ).
fof(f1536,plain,
( spl0_143
<=> ! [X2,X0,X3] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f237,axiom,
! [X2,X3,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f1534,plain,
spl0_142,
inference(avatar_split_clause,[],[f234,f1532]) ).
fof(f1532,plain,
( spl0_142
<=> ! [X2,X0,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f234,axiom,
! [X2,X3,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f1530,plain,
spl0_141,
inference(avatar_split_clause,[],[f233,f1528]) ).
fof(f1528,plain,
( spl0_141
<=> ! [X2,X0,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f233,axiom,
! [X2,X3,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f1526,plain,
spl0_140,
inference(avatar_split_clause,[],[f148,f1524]) ).
fof(f1524,plain,
( spl0_140
<=> ! [X4,X0,X7] :
( c_Finite__Set_Ofinite(X4,X0)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X7),X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f148,axiom,
! [X0,X7,X4] :
( c_Finite__Set_Ofinite(X4,X0)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X7),X4),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_0) ).
fof(f1522,plain,
spl0_139,
inference(avatar_split_clause,[],[f147,f1520]) ).
fof(f1520,plain,
( spl0_139
<=> ! [X4,X0,X7] :
( ~ c_Finite__Set_Ofinite(X4,X0)
| c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X7),X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f147,axiom,
! [X0,X7,X4] :
( ~ c_Finite__Set_Ofinite(X4,X0)
| c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X7),X4),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_1) ).
fof(f1518,plain,
spl0_138,
inference(avatar_split_clause,[],[f103,f1516]) ).
fof(f1516,plain,
( spl0_138
<=> ! [X5,X4,X0] :
( ~ c_Finite__Set_Ofinite(X4,X0)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X0,tc_bool)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f103,axiom,
! [X0,X4,X5] :
( ~ c_Finite__Set_Ofinite(X4,X0)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X0,tc_bool)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff_0) ).
fof(f1514,plain,
( spl0_137
| ~ spl0_24
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1177,f1174,f966,f1512]) ).
fof(f966,plain,
( spl0_24
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1177,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q))) )
| ~ spl0_24
| ~ spl0_71 ),
inference(resolution,[],[f1175,f968]) ).
fof(f968,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f1492,plain,
( spl0_136
| ~ spl0_99
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1415,f1412,f1300,f1490]) ).
fof(f1490,plain,
( spl0_136
<=> ! [X2,X0,X11] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X11,c_COMBK(c_False,tc_bool,X0),X0),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1412,plain,
( spl0_124
<=> ! [X2,X0,X11] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1415,plain,
( ! [X2,X0,X11] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X11,c_COMBK(c_False,tc_bool,X0),X0),X2))
| ~ spl0_99
| ~ spl0_124 ),
inference(forward_demodulation,[],[f1413,f1301]) ).
fof(f1413,plain,
( ! [X2,X0,X11] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),X2))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1480,plain,
( spl0_135
| ~ spl0_99
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1381,f1378,f1300,f1478]) ).
fof(f1478,plain,
( spl0_135
<=> ! [X11,X0,X12,X1] : c_Nitpick_Ofold__graph_H(X11,X1,c_COMBK(c_False,tc_bool,X0),X1,X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1378,plain,
( spl0_116
<=> ! [X11,X0,X12,X1] : c_Nitpick_Ofold__graph_H(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1381,plain,
( ! [X0,X11,X1,X12] : c_Nitpick_Ofold__graph_H(X11,X1,c_COMBK(c_False,tc_bool,X0),X1,X0,X12)
| ~ spl0_99
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1379,f1301]) ).
fof(f1379,plain,
( ! [X0,X11,X1,X12] : c_Nitpick_Ofold__graph_H(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1476,plain,
( spl0_134
| ~ spl0_99
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1376,f1373,f1300,f1474]) ).
fof(f1474,plain,
( spl0_134
<=> ! [X11,X0,X12,X1] : c_Finite__Set_Ofold__graph(X11,X1,c_COMBK(c_False,tc_bool,X0),X1,X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1373,plain,
( spl0_115
<=> ! [X11,X0,X12,X1] : c_Finite__Set_Ofold__graph(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1376,plain,
( ! [X0,X11,X1,X12] : c_Finite__Set_Ofold__graph(X11,X1,c_COMBK(c_False,tc_bool,X0),X1,X0,X12)
| ~ spl0_99
| ~ spl0_115 ),
inference(forward_demodulation,[],[f1374,f1301]) ).
fof(f1374,plain,
( ! [X0,X11,X1,X12] : c_Finite__Set_Ofold__graph(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1452,plain,
( spl0_133
| ~ spl0_26
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1250,f1223,f978,f1449]) ).
fof(f1449,plain,
( spl0_133
<=> c_Hoare__Mirabelle_Ohoare__valids(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1223,plain,
( spl0_82
<=> ! [X0,X28,X67] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0)
| c_Hoare__Mirabelle_Ohoare__valids(X28,X67,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1250,plain,
( c_Hoare__Mirabelle_Ohoare__valids(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a)
| ~ spl0_26
| ~ spl0_82 ),
inference(resolution,[],[f1224,f980]) ).
fof(f1224,plain,
( ! [X28,X0,X67] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0)
| c_Hoare__Mirabelle_Ohoare__valids(X28,X67,X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1447,plain,
spl0_132,
inference(avatar_split_clause,[],[f640,f1445]) ).
fof(f1445,plain,
( spl0_132
<=> ! [X34,X0,X2] :
( c_COMBK(c_False,tc_bool,X0) != X34
| ~ hBOOL(hAPP(X34,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f640,plain,
! [X2,X0,X34] :
( c_COMBK(c_False,tc_bool,X0) != X34
| ~ hBOOL(hAPP(X34,X2)) ),
inference(forward_demodulation,[],[f639,f568]) ).
fof(f639,plain,
! [X2,X0,X34] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != X34
| ~ hBOOL(hAPP(X34,X2)) ),
inference(forward_demodulation,[],[f302,f203]) ).
fof(f302,axiom,
! [X2,X0,X34] :
( ~ hBOOL(hAPP(X34,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Collect(X34,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
fof(f1443,plain,
spl0_131,
inference(avatar_split_clause,[],[f627,f1441]) ).
fof(f1441,plain,
( spl0_131
<=> ! [X0,X7] :
( c_Complete__Lattice_OSup__class_OSup(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f627,plain,
! [X0,X7] :
( c_Complete__Lattice_OSup__class_OSup(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
inference(forward_demodulation,[],[f626,f588]) ).
fof(f626,plain,
! [X0,X7] :
( c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
inference(forward_demodulation,[],[f466,f568]) ).
fof(f466,axiom,
! [X0,X7] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
| c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X0) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__singleton_0) ).
fof(f1439,plain,
spl0_130,
inference(avatar_split_clause,[],[f625,f1437]) ).
fof(f1437,plain,
( spl0_130
<=> ! [X0,X7] :
( c_Complete__Lattice_OInf__class_OInf(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f625,plain,
! [X0,X7] :
( c_Complete__Lattice_OInf__class_OInf(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
inference(forward_demodulation,[],[f624,f588]) ).
fof(f624,plain,
! [X0,X7] :
( c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),X0) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
inference(forward_demodulation,[],[f486,f568]) ).
fof(f486,axiom,
! [X0,X7] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
| c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X0) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__singleton_0) ).
fof(f1435,plain,
spl0_129,
inference(avatar_split_clause,[],[f622,f1433]) ).
fof(f1433,plain,
( spl0_129
<=> ! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Orderings_Olinorder(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f622,plain,
! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_demodulation,[],[f621,f588]) ).
fof(f621,plain,
! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),X0) = X7
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_demodulation,[],[f470,f568]) ).
fof(f470,axiom,
! [X0,X7] :
( ~ class_Orderings_Olinorder(X0)
| c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X0) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__singleton_0) ).
fof(f1431,plain,
spl0_128,
inference(avatar_split_clause,[],[f620,f1429]) ).
fof(f1429,plain,
( spl0_128
<=> ! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Orderings_Olinorder(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f620,plain,
! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X0),X7),X0) = X7
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_demodulation,[],[f619,f588]) ).
fof(f619,plain,
! [X0,X7] :
( c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_COMBK(c_False,tc_bool,X0)),X0) = X7
| ~ class_Orderings_Olinorder(X0) ),
inference(forward_demodulation,[],[f481,f568]) ).
fof(f481,axiom,
! [X0,X7] :
( ~ class_Orderings_Olinorder(X0)
| c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(X0),X7),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X0) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__singleton_0) ).
fof(f1427,plain,
spl0_127,
inference(avatar_split_clause,[],[f565,f1425]) ).
fof(f1425,plain,
( spl0_127
<=> ! [X29,X0,X79] :
( X29 = X79
| ~ hBOOL(hAPP(hAPP(c_fequal(X0),X79),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f565,axiom,
! [X29,X0,X79] :
( X29 = X79
| ~ hBOOL(hAPP(hAPP(c_fequal(X0),X79),X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f1423,plain,
spl0_126,
inference(avatar_split_clause,[],[f432,f1421]) ).
fof(f1421,plain,
( spl0_126
<=> ! [X5,X0,X7] : hBOOL(c_in(X7,hAPP(hAPP(c_Set_Oinsert(X0),X7),X5),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f432,axiom,
! [X0,X7,X5] : hBOOL(c_in(X7,hAPP(hAPP(c_Set_Oinsert(X0),X7),X5),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
fof(f1419,plain,
spl0_125,
inference(avatar_split_clause,[],[f427,f1417]) ).
fof(f1417,plain,
( spl0_125
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X2,X3,X0)
| c_lessequals(X3,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f427,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X2,X3,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
fof(f1414,plain,
spl0_124,
inference(avatar_split_clause,[],[f303,f1412]) ).
fof(f303,axiom,
! [X2,X0,X11] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold1SetE_0) ).
fof(f1410,plain,
spl0_123,
inference(avatar_split_clause,[],[f270,f1408]) ).
fof(f1408,plain,
( spl0_123
<=> ! [X41,X40,X39,X42] :
( X40 = X42
| c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OWhile(X41,X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f270,axiom,
! [X40,X41,X39,X42] :
( X40 = X42
| c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OWhile(X41,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_1) ).
fof(f1406,plain,
( spl0_122
| ~ spl0_24
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1249,f1223,f966,f1403]) ).
fof(f1403,plain,
( spl0_122
<=> c_Hoare__Mirabelle_Ohoare__valids(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1249,plain,
( c_Hoare__Mirabelle_Ohoare__valids(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a)
| ~ spl0_24
| ~ spl0_82 ),
inference(resolution,[],[f1224,f968]) ).
fof(f1401,plain,
spl0_121,
inference(avatar_split_clause,[],[f269,f1399]) ).
fof(f1399,plain,
( spl0_121
<=> ! [X41,X40,X42,X39] :
( X39 = X41
| c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OWhile(X41,X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f269,axiom,
! [X40,X41,X39,X42] :
( X39 = X41
| c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OWhile(X41,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_0) ).
fof(f1397,plain,
spl0_120,
inference(avatar_split_clause,[],[f206,f1395]) ).
fof(f1395,plain,
( spl0_120
<=> ! [X44,X43,X31,X32] :
( X31 = X43
| c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OSemi(X43,X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f206,axiom,
! [X31,X44,X32,X43] :
( X31 = X43
| c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OSemi(X43,X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).
fof(f1393,plain,
spl0_119,
inference(avatar_split_clause,[],[f205,f1391]) ).
fof(f1391,plain,
( spl0_119
<=> ! [X32,X44,X43,X31] :
( X32 = X44
| c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OSemi(X43,X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f205,axiom,
! [X31,X44,X32,X43] :
( X32 = X44
| c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OSemi(X43,X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).
fof(f1389,plain,
spl0_118,
inference(avatar_split_clause,[],[f188,f1387]) ).
fof(f1387,plain,
( spl0_118
<=> ! [X4,X0] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X4),X4) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f188,axiom,
! [X0,X4] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X4),X4) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f1385,plain,
spl0_117,
inference(avatar_split_clause,[],[f187,f1383]) ).
fof(f1383,plain,
( spl0_117
<=> ! [X2,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f187,axiom,
! [X2,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f1380,plain,
spl0_116,
inference(avatar_split_clause,[],[f144,f1378]) ).
fof(f144,axiom,
! [X0,X11,X1,X12] : c_Nitpick_Ofold__graph_H(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I1_J_0) ).
fof(f1375,plain,
spl0_115,
inference(avatar_split_clause,[],[f143,f1373]) ).
fof(f143,axiom,
! [X0,X11,X1,X12] : c_Finite__Set_Ofold__graph(X11,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X0,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OemptyI_0) ).
fof(f1371,plain,
spl0_114,
inference(avatar_split_clause,[],[f121,f1369]) ).
fof(f1369,plain,
( spl0_114
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| ~ c_lessequals(X3,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f121,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| ~ c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f1367,plain,
spl0_113,
inference(avatar_split_clause,[],[f119,f1365]) ).
fof(f1365,plain,
( spl0_113
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X3,X2,X0)
| c_lessequals(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f119,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X3,X2,X0)
| c_lessequals(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
fof(f1363,plain,
spl0_112,
inference(avatar_split_clause,[],[f118,f1361]) ).
fof(f1361,plain,
( spl0_112
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| ~ c_lessequals(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f118,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| ~ c_lessequals(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
fof(f1359,plain,
spl0_111,
inference(avatar_split_clause,[],[f108,f1357]) ).
fof(f1357,plain,
( spl0_111
<=> ! [X4,X11,X0,X12,X2,X1] :
( c_Finite__Set_Ofinite(X4,X0)
| ~ c_Finite__Set_Ofold__graph(X11,X1,X4,X2,X0,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f108,axiom,
! [X2,X0,X11,X1,X4,X12] :
( c_Finite__Set_Ofinite(X4,X0)
| ~ c_Finite__Set_Ofold__graph(X11,X1,X4,X2,X0,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph__imp__finite_0) ).
fof(f1355,plain,
spl0_110,
inference(avatar_split_clause,[],[f77,f1353]) ).
fof(f1353,plain,
( spl0_110
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| c_lessequals(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f77,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| c_lessequals(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).
fof(f1351,plain,
spl0_109,
inference(avatar_split_clause,[],[f76,f1349]) ).
fof(f1349,plain,
( spl0_109
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| c_lessequals(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f76,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| c_lessequals(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
fof(f1347,plain,
spl0_108,
inference(avatar_split_clause,[],[f75,f1345]) ).
fof(f1345,plain,
( spl0_108
<=> ! [X12,X0,X27,X26] :
( ~ c_Finite__Set_Ofinite(X27,X0)
| c_Finite__Set_Ofinite(c_Set_Oimage(X26,X27,X0,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f75,axiom,
! [X0,X26,X27,X12] :
( ~ c_Finite__Set_Ofinite(X27,X0)
| c_Finite__Set_Ofinite(c_Set_Oimage(X26,X27,X0,X12),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
fof(f1343,plain,
spl0_107,
inference(avatar_split_clause,[],[f71,f1341]) ).
fof(f1341,plain,
( spl0_107
<=> ! [X11,X0,X3,X25,X2] : hAPP(c_Fun_Ofun__upd(X11,X2,X3,X0,X25),X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f71,axiom,
! [X2,X3,X0,X11,X25] : hAPP(c_Fun_Ofun__upd(X11,X2,X3,X0,X25),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
fof(f1339,plain,
spl0_106,
inference(avatar_split_clause,[],[f70,f1337]) ).
fof(f1337,plain,
( spl0_106
<=> ! [X2,X11,X0,X25] : c_Fun_Ofun__upd(X11,X2,hAPP(X11,X2),X25,X0) = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f70,axiom,
! [X2,X0,X11,X25] : c_Fun_Ofun__upd(X11,X2,hAPP(X11,X2),X25,X0) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
fof(f1335,plain,
spl0_105,
inference(avatar_split_clause,[],[f33,f1333]) ).
fof(f1333,plain,
( spl0_105
<=> ! [X0,X8,X7] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X7,X8,X0)
| ~ c_HOL_Oord__class_Oless(X8,X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f33,axiom,
! [X0,X8,X7] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X7,X8,X0)
| ~ c_HOL_Oord__class_Oless(X8,X7,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
fof(f1331,plain,
spl0_104,
inference(avatar_split_clause,[],[f31,f1329]) ).
fof(f1329,plain,
( spl0_104
<=> ! [X2,X0,X3] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f31,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f1327,plain,
spl0_103,
inference(avatar_split_clause,[],[f30,f1325]) ).
fof(f1325,plain,
( spl0_103
<=> ! [X0,X7,X8] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X8,X7,X0)
| ~ c_HOL_Oord__class_Oless(X7,X8,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f30,axiom,
! [X0,X8,X7] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X8,X7,X0)
| ~ c_HOL_Oord__class_Oless(X7,X8,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
fof(f1318,plain,
( spl0_102
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1286,f1283,f1316]) ).
fof(f1316,plain,
( spl0_102
<=> ! [X4,X0] : c_lessequals(c_COMBK(c_False,tc_bool,X0),X4,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1283,plain,
( spl0_95
<=> ! [X4,X0] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1286,plain,
( ! [X0,X4] : c_lessequals(c_COMBK(c_False,tc_bool,X0),X4,tc_fun(X0,tc_bool))
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1284,f568]) ).
fof(f1284,plain,
( ! [X0,X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4,tc_fun(X0,tc_bool))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1311,plain,
( spl0_101
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1260,f1257,f1309]) ).
fof(f1309,plain,
( spl0_101
<=> ! [X4,X0] : ~ c_HOL_Oord__class_Oless(X4,c_COMBK(c_False,tc_bool,X0),tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1257,plain,
( spl0_89
<=> ! [X4,X0] : ~ c_HOL_Oord__class_Oless(X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1260,plain,
( ! [X0,X4] : ~ c_HOL_Oord__class_Oless(X4,c_COMBK(c_False,tc_bool,X0),tc_fun(X0,tc_bool))
| ~ spl0_89 ),
inference(forward_demodulation,[],[f1258,f568]) ).
fof(f1258,plain,
( ! [X0,X4] : ~ c_HOL_Oord__class_Oless(X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool))
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1307,plain,
spl0_100,
inference(avatar_split_clause,[],[f582,f1304]) ).
fof(f1304,plain,
( spl0_100
<=> c_False = c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f582,plain,
c_False = c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a),
inference(forward_demodulation,[],[f581,f179]) ).
fof(f179,axiom,
! [X0,X34,X35,X12] : hAPP(c_COMBK(X34,X0,X12),X35) = X34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
fof(f581,plain,
hAPP(c_COMBK(c_False,tc_bool,t_a),v_x) = c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a),
inference(forward_demodulation,[],[f487,f568]) ).
fof(f487,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
fof(f1302,plain,
spl0_99,
inference(avatar_split_clause,[],[f568,f1300]) ).
fof(f1298,plain,
spl0_98,
inference(avatar_split_clause,[],[f507,f1296]) ).
fof(f1296,plain,
( spl0_98
<=> ! [X2,X0,X4] : hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X2),X4),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f507,axiom,
! [X2,X0,X4] : hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X2),X4),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f1294,plain,
spl0_97,
inference(avatar_split_clause,[],[f385,f1292]) ).
fof(f1292,plain,
( spl0_97
<=> ! [X21,X12,X0] : c_Fun_Ofcomp(c_Fun_Oid(X0),X21,X0,X0,X12) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f385,axiom,
! [X21,X0,X12] : c_Fun_Ofcomp(c_Fun_Oid(X0),X21,X0,X0,X12) = X21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_id__fcomp_0) ).
fof(f1290,plain,
spl0_96,
inference(avatar_split_clause,[],[f384,f1288]) ).
fof(f1288,plain,
( spl0_96
<=> ! [X12,X0,X11] : c_Fun_Ofcomp(X11,c_Fun_Oid(X12),X0,X12,X12) = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f384,axiom,
! [X0,X11,X12] : c_Fun_Ofcomp(X11,c_Fun_Oid(X12),X0,X12,X12) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fcomp__id_0) ).
fof(f1285,plain,
spl0_95,
inference(avatar_split_clause,[],[f309,f1283]) ).
fof(f309,axiom,
! [X0,X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f1281,plain,
spl0_94,
inference(avatar_split_clause,[],[f190,f1279]) ).
fof(f1279,plain,
( spl0_94
<=> ! [X12,X0,X11] : c_Fun_Ocomp(X11,c_Fun_Oid(X0),X0,X12,X0) = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f190,axiom,
! [X0,X11,X12] : c_Fun_Ocomp(X11,c_Fun_Oid(X0),X0,X12,X0) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_o__id_0) ).
fof(f1277,plain,
spl0_93,
inference(avatar_split_clause,[],[f189,f1275]) ).
fof(f1275,plain,
( spl0_93
<=> ! [X12,X21,X0] : c_Fun_Ocomp(c_Fun_Oid(X12),X21,X12,X12,X0) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f189,axiom,
! [X21,X0,X12] : c_Fun_Ocomp(c_Fun_Oid(X12),X21,X12,X12,X0) = X21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_id__o_0) ).
fof(f1273,plain,
( ~ spl0_92
| ~ spl0_26
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1131,f1127,f978,f1270]) ).
fof(f1127,plain,
( spl0_61
<=> ! [X64,X76] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1131,plain,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H)))
| ~ spl0_26
| ~ spl0_61 ),
inference(resolution,[],[f1128,f980]) ).
fof(f1128,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1268,plain,
spl0_91,
inference(avatar_split_clause,[],[f184,f1266]) ).
fof(f1266,plain,
( spl0_91
<=> ! [X2,X37,X0] :
( ~ hBOOL(hAPP(X37,X2))
| hBOOL(c_in(X2,X37,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f184,axiom,
! [X2,X0,X37] :
( ~ hBOOL(hAPP(X37,X2))
| hBOOL(c_in(X2,X37,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1264,plain,
spl0_90,
inference(avatar_split_clause,[],[f183,f1262]) ).
fof(f1262,plain,
( spl0_90
<=> ! [X2,X37,X0] :
( hBOOL(hAPP(X37,X2))
| ~ hBOOL(c_in(X2,X37,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f183,axiom,
! [X2,X0,X37] :
( hBOOL(hAPP(X37,X2))
| ~ hBOOL(c_in(X2,X37,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f1259,plain,
spl0_89,
inference(avatar_split_clause,[],[f138,f1257]) ).
fof(f138,axiom,
! [X0,X4] : ~ c_HOL_Oord__class_Oless(X4,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
fof(f1254,plain,
( spl0_88
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1230,f1227,f1252]) ).
fof(f1252,plain,
( spl0_88
<=> ! [X0,X28] : c_Hoare__Mirabelle_Ohoare__derivs(X28,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1227,plain,
( spl0_83
<=> ! [X0,X28] : c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1230,plain,
( ! [X28,X0] : c_Hoare__Mirabelle_Ohoare__derivs(X28,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(X0)),X0)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1228,f568]) ).
fof(f1228,plain,
( ! [X28,X0] : c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1248,plain,
( ~ spl0_87
| ~ spl0_24
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1130,f1127,f966,f1245]) ).
fof(f1245,plain,
( spl0_87
<=> hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P,v_Q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1130,plain,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P,v_Q)))
| ~ spl0_24
| ~ spl0_61 ),
inference(resolution,[],[f1128,f968]) ).
fof(f1243,plain,
( spl0_86
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1213,f1210,f1241]) ).
fof(f1241,plain,
( spl0_86
<=> ! [X11,X0,X12] : c_Fun_Oinj__on(X11,c_COMBK(c_False,tc_bool,X0),X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1210,plain,
( spl0_79
<=> ! [X11,X0,X12] : c_Fun_Oinj__on(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1213,plain,
( ! [X0,X11,X12] : c_Fun_Oinj__on(X11,c_COMBK(c_False,tc_bool,X0),X0,X12)
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1211,f568]) ).
fof(f1211,plain,
( ! [X0,X11,X12] : c_Fun_Oinj__on(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0,X12)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1239,plain,
( spl0_85
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1208,f1205,f1237]) ).
fof(f1237,plain,
( spl0_85
<=> ! [X2,X0] : ~ hBOOL(c_in(X2,c_COMBK(c_False,tc_bool,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1205,plain,
( spl0_78
<=> ! [X2,X0] : ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1208,plain,
( ! [X2,X0] : ~ hBOOL(c_in(X2,c_COMBK(c_False,tc_bool,X0),X0))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f1206,f568]) ).
fof(f1206,plain,
( ! [X2,X0] : ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1234,plain,
spl0_84,
inference(avatar_split_clause,[],[f537,f1232]) ).
fof(f1232,plain,
( spl0_84
<=> ! [X77,X78] :
( ~ class_Finite__Set_Ofinite_Ofinite(X77)
| ~ class_Finite__Set_Ofinite_Ofinite(X78)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f537,axiom,
! [X78,X77] :
( ~ class_Finite__Set_Ofinite_Ofinite(X77)
| ~ class_Finite__Set_Ofinite_Ofinite(X78)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
fof(f1229,plain,
spl0_83,
inference(avatar_split_clause,[],[f518,f1227]) ).
fof(f518,axiom,
! [X28,X0] : c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty_0) ).
fof(f1225,plain,
spl0_82,
inference(avatar_split_clause,[],[f447,f1223]) ).
fof(f447,axiom,
! [X28,X0,X67] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X67,X0)
| c_Hoare__Mirabelle_Ohoare__valids(X28,X67,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__sound_0) ).
fof(f1221,plain,
spl0_81,
inference(avatar_split_clause,[],[f419,f1219]) ).
fof(f1219,plain,
( spl0_81
<=> ! [X2,X0] : c_The(hAPP(c_fequal(X0),X2),X0) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f419,axiom,
! [X2,X0] : c_The(hAPP(c_fequal(X0),X2),X0) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__sym__eq__trivial_0) ).
fof(f1217,plain,
spl0_80,
inference(avatar_split_clause,[],[f338,f1215]) ).
fof(f1215,plain,
( spl0_80
<=> ! [X44,X43,X32,X31,X39] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OCond(X39,X43,X44) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f338,axiom,
! [X31,X39,X44,X32,X43] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OCond(X39,X43,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I45_J_0) ).
fof(f1212,plain,
spl0_79,
inference(avatar_split_clause,[],[f310,f1210]) ).
fof(f310,axiom,
! [X0,X11,X12] : c_Fun_Oinj__on(X11,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
fof(f1207,plain,
spl0_78,
inference(avatar_split_clause,[],[f296,f1205]) ).
fof(f296,axiom,
! [X2,X0] : ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
fof(f1203,plain,
spl0_77,
inference(avatar_split_clause,[],[f277,f1201]) ).
fof(f1201,plain,
( spl0_77
<=> ! [X41,X40,X31,X32,X39] : c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OCond(X41,X31,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f277,axiom,
! [X40,X31,X41,X39,X32] : c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OCond(X41,X31,X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I53_J_0) ).
fof(f1199,plain,
spl0_76,
inference(avatar_split_clause,[],[f268,f1197]) ).
fof(f1197,plain,
( spl0_76
<=> ! [X55,X33] :
( X33 = X55
| c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OBODY(X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f268,axiom,
! [X55,X33] :
( X33 = X55
| c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OBODY(X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).
fof(f1195,plain,
spl0_75,
inference(avatar_split_clause,[],[f179,f1193]) ).
fof(f1193,plain,
( spl0_75
<=> ! [X35,X34,X0,X12] : hAPP(c_COMBK(X34,X0,X12),X35) = X34 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1191,plain,
spl0_74,
inference(avatar_split_clause,[],[f123,f1189]) ).
fof(f1189,plain,
( spl0_74
<=> ! [X29,X0] : c_Set_Oimage(c_Fun_Oid(X0),X29,X0,X0) = X29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f123,axiom,
! [X0,X29] : c_Set_Oimage(c_Fun_Oid(X0),X29,X0,X0) = X29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__id_0) ).
fof(f1187,plain,
spl0_73,
inference(avatar_split_clause,[],[f106,f1185]) ).
fof(f1185,plain,
( spl0_73
<=> ! [X29,X0] : c_Set_Oimage(c_COMBI(X0),X29,X0,X0) = X29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f106,axiom,
! [X0,X29] : c_Set_Oimage(c_COMBI(X0),X29,X0,X0) = X29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__ident_0) ).
fof(f1183,plain,
( ~ spl0_72
| ~ spl0_26
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1114,f1110,f978,f1180]) ).
fof(f1180,plain,
( spl0_72
<=> hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P_H,v_Q_H))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1110,plain,
( spl0_58
<=> ! [X64,X76] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1114,plain,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P_H,v_Q_H)))
| ~ spl0_26
| ~ spl0_58 ),
inference(resolution,[],[f1111,f980]) ).
fof(f1111,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1176,plain,
( spl0_71
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1172,f1168,f1174]) ).
fof(f1168,plain,
( spl0_70
<=> ! [X64,X76,X71] :
( ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1172,plain,
( ! [X71,X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) )
| ~ spl0_70 ),
inference(forward_demodulation,[],[f1171,f588]) ).
fof(f1171,plain,
( ! [X71,X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)
| ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) )
| ~ spl0_70 ),
inference(forward_demodulation,[],[f1169,f568]) ).
fof(f1169,plain,
( ! [X71,X76,X64] :
( ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1170,plain,
spl0_70,
inference(avatar_split_clause,[],[f533,f1168]) ).
fof(f533,axiom,
! [X71,X76,X64] :
( ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1166,plain,
spl0_69,
inference(avatar_split_clause,[],[f564,f1164]) ).
fof(f1164,plain,
( spl0_69
<=> ! [X2,X0] : hBOOL(hAPP(hAPP(c_fequal(X0),X2),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f564,axiom,
! [X2,X0] : hBOOL(hAPP(hAPP(c_fequal(X0),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f1162,plain,
( ~ spl0_68
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1157,f1153,f1159]) ).
fof(f1159,plain,
( spl0_68
<=> hBOOL(c_False) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1153,plain,
( spl0_67
<=> ! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1157,plain,
( ~ hBOOL(c_False)
| ~ spl0_67 ),
inference(forward_demodulation,[],[f1156,f179]) ).
fof(f1156,plain,
( ! [X2,X0] : ~ hBOOL(hAPP(c_COMBK(c_False,tc_bool,X0),X2))
| ~ spl0_67 ),
inference(forward_demodulation,[],[f1154,f568]) ).
fof(f1154,plain,
( ! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X2))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1155,plain,
spl0_67,
inference(avatar_split_clause,[],[f517,f1153]) ).
fof(f517,axiom,
! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f1151,plain,
spl0_66,
inference(avatar_split_clause,[],[f434,f1149]) ).
fof(f1149,plain,
( spl0_66
<=> ! [X0] : c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(X0),X0,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f434,axiom,
! [X0] : c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(X0),X0,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm__idem__insert_0) ).
fof(f1147,plain,
spl0_65,
inference(avatar_split_clause,[],[f354,f1145]) ).
fof(f1145,plain,
( spl0_65
<=> ! [X41,X32,X33,X31] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OCond(X41,X31,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f354,axiom,
! [X31,X41,X32,X33] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OCond(X41,X31,X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I54_J_0) ).
fof(f1143,plain,
spl0_64,
inference(avatar_split_clause,[],[f289,f1141]) ).
fof(f1141,plain,
( spl0_64
<=> ! [X2,X0] :
( ~ class_Orderings_Obot(X0)
| c_lessequals(c_Orderings_Obot__class_Obot(X0),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f289,axiom,
! [X2,X0] :
( ~ class_Orderings_Obot(X0)
| c_lessequals(c_Orderings_Obot__class_Obot(X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
fof(f1139,plain,
spl0_63,
inference(avatar_split_clause,[],[f207,f1137]) ).
fof(f1137,plain,
( spl0_63
<=> ! [X39,X32,X40,X31] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OWhile(X39,X40) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f207,axiom,
! [X31,X40,X39,X32] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OWhile(X39,X40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I46_J_0) ).
fof(f1135,plain,
spl0_62,
inference(avatar_split_clause,[],[f204,f1133]) ).
fof(f1133,plain,
( spl0_62
<=> ! [X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f204,axiom,
! [X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm__idem__sup_0) ).
fof(f1129,plain,
( spl0_61
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1125,f1121,f1127]) ).
fof(f1121,plain,
( spl0_60
<=> ! [X64,X76] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1125,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) )
| ~ spl0_60 ),
inference(forward_demodulation,[],[f1124,f588]) ).
fof(f1124,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) )
| ~ spl0_60 ),
inference(forward_demodulation,[],[f1122,f568]) ).
fof(f1122,plain,
( ! [X76,X64] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
spl0_60,
inference(avatar_split_clause,[],[f532,f1121]) ).
fof(f532,axiom,
! [X76,X64] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1119,plain,
( ~ spl0_59
| ~ spl0_24
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1113,f1110,f966,f1116]) ).
fof(f1113,plain,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q)))
| ~ spl0_24
| ~ spl0_58 ),
inference(resolution,[],[f1111,f968]) ).
fof(f1112,plain,
( spl0_58
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1108,f1104,f1110]) ).
fof(f1104,plain,
( spl0_57
<=> ! [X64,X76] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1108,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) )
| ~ spl0_57 ),
inference(forward_demodulation,[],[f1107,f588]) ).
fof(f1107,plain,
( ! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) )
| ~ spl0_57 ),
inference(forward_demodulation,[],[f1105,f568]) ).
fof(f1105,plain,
( ! [X76,X64] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1106,plain,
spl0_57,
inference(avatar_split_clause,[],[f531,f1104]) ).
fof(f531,axiom,
! [X76,X64] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1102,plain,
( spl0_56
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1022,f1019,f1100]) ).
fof(f1100,plain,
( spl0_56
<=> ! [X0] : c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1019,plain,
( spl0_36
<=> ! [X0] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1022,plain,
( ! [X0] : c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,X0),X0)
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1020,f568]) ).
fof(f1020,plain,
( ! [X0] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1098,plain,
spl0_55,
inference(avatar_split_clause,[],[f543,f1096]) ).
fof(f1096,plain,
( spl0_55
<=> ! [X77,X78] :
( ~ class_HOL_Oord(X78)
| class_HOL_Oord(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f543,axiom,
! [X78,X77] :
( ~ class_HOL_Oord(X78)
| class_HOL_Oord(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
fof(f1094,plain,
spl0_54,
inference(avatar_split_clause,[],[f542,f1092]) ).
fof(f1092,plain,
( spl0_54
<=> ! [X77,X78] :
( ~ class_HOL_Ominus(X78)
| class_HOL_Ominus(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f542,axiom,
! [X78,X77] :
( ~ class_HOL_Ominus(X78)
| class_HOL_Ominus(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Ominus) ).
fof(f1090,plain,
spl0_53,
inference(avatar_split_clause,[],[f541,f1088]) ).
fof(f1088,plain,
( spl0_53
<=> ! [X77,X78] :
( ~ class_Orderings_Obot(X78)
| class_Orderings_Obot(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f541,axiom,
! [X78,X77] :
( ~ class_Orderings_Obot(X78)
| class_Orderings_Obot(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
fof(f1086,plain,
spl0_52,
inference(avatar_split_clause,[],[f540,f1084]) ).
fof(f1084,plain,
( spl0_52
<=> ! [X77,X78] :
( ~ class_Orderings_Oorder(X78)
| class_Orderings_Oorder(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f540,axiom,
! [X78,X77] :
( ~ class_Orderings_Oorder(X78)
| class_Orderings_Oorder(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
fof(f1082,plain,
spl0_51,
inference(avatar_split_clause,[],[f539,f1080]) ).
fof(f1080,plain,
( spl0_51
<=> ! [X77,X78] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Olattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f539,axiom,
! [X78,X77] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Olattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f1078,plain,
spl0_50,
inference(avatar_split_clause,[],[f538,f1076]) ).
fof(f1076,plain,
( spl0_50
<=> ! [X77,X78] :
( ~ class_Orderings_Opreorder(X78)
| class_Orderings_Opreorder(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f538,axiom,
! [X78,X77] :
( ~ class_Orderings_Opreorder(X78)
| class_Orderings_Opreorder(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
fof(f1074,plain,
spl0_49,
inference(avatar_split_clause,[],[f536,f1072]) ).
fof(f1072,plain,
( spl0_49
<=> ! [X77,X78] :
( ~ class_Lattices_Obounded__lattice(X78)
| class_Lattices_Obounded__lattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f536,axiom,
! [X78,X77] :
( ~ class_Lattices_Obounded__lattice(X78)
| class_Lattices_Obounded__lattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f1070,plain,
spl0_48,
inference(avatar_split_clause,[],[f535,f1068]) ).
fof(f1068,plain,
( spl0_48
<=> ! [X77,X78] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Oupper__semilattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f535,axiom,
! [X78,X77] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Oupper__semilattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f1066,plain,
spl0_47,
inference(avatar_split_clause,[],[f534,f1064]) ).
fof(f1064,plain,
( spl0_47
<=> ! [X77,X78] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X78)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f534,axiom,
! [X78,X77] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X78)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
fof(f1062,plain,
spl0_46,
inference(avatar_split_clause,[],[f410,f1060]) ).
fof(f1060,plain,
( spl0_46
<=> ! [X2,X0] :
( ~ class_Orderings_Opreorder(X0)
| c_lessequals(X2,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f410,axiom,
! [X2,X0] :
( ~ class_Orderings_Opreorder(X0)
| c_lessequals(X2,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f1058,plain,
spl0_45,
inference(avatar_split_clause,[],[f409,f1056]) ).
fof(f1056,plain,
( spl0_45
<=> ! [X2,X0] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X2,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f409,axiom,
! [X2,X0] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X2,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f1054,plain,
spl0_44,
inference(avatar_split_clause,[],[f405,f1052]) ).
fof(f1052,plain,
( spl0_44
<=> ! [X4,X0] : c_lessequals(X4,X4,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f405,axiom,
! [X0,X4] : c_lessequals(X4,X4,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
fof(f1050,plain,
spl0_43,
inference(avatar_split_clause,[],[f330,f1048]) ).
fof(f1048,plain,
( spl0_43
<=> ! [X4,X0] : c_Fun_Oinj__on(c_COMBI(X0),X4,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f330,axiom,
! [X0,X4] : c_Fun_Oinj__on(c_COMBI(X0),X4,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__id2_0) ).
fof(f1046,plain,
spl0_42,
inference(avatar_split_clause,[],[f282,f1044]) ).
fof(f1044,plain,
( spl0_42
<=> ! [X2,X0] : hAPP(c_Fun_Oid(X0),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f282,axiom,
! [X2,X0] : hAPP(c_Fun_Oid(X0),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_id__apply_0) ).
fof(f1042,plain,
spl0_41,
inference(avatar_split_clause,[],[f274,f1040]) ).
fof(f1040,plain,
( spl0_41
<=> ! [X39,X44,X43] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X39,X43,X44) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f274,axiom,
! [X39,X44,X43] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X39,X43,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I15_J_0) ).
fof(f1038,plain,
spl0_40,
inference(avatar_split_clause,[],[f201,f1036]) ).
fof(f1036,plain,
( spl0_40
<=> ! [X41,X33,X42] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OWhile(X41,X42) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f201,axiom,
! [X41,X42,X33] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OWhile(X41,X42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I59_J_0) ).
fof(f1034,plain,
spl0_39,
inference(avatar_split_clause,[],[f192,f1032]) ).
fof(f1032,plain,
( spl0_39
<=> ! [X32,X31,X33] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OBODY(X33) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f192,axiom,
! [X31,X32,X33] : c_Com_Ocom_OSemi(X31,X32) != c_Com_Ocom_OBODY(X33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I49_J_0) ).
fof(f1030,plain,
spl0_38,
inference(avatar_split_clause,[],[f186,f1028]) ).
fof(f1028,plain,
( spl0_38
<=> ! [X4,X0] : c_Fun_Oinj__on(c_Fun_Oid(X0),X4,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f186,axiom,
! [X0,X4] : c_Fun_Oinj__on(c_Fun_Oid(X0),X4,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__id_0) ).
fof(f1026,plain,
spl0_37,
inference(avatar_split_clause,[],[f180,f1024]) ).
fof(f1024,plain,
( spl0_37
<=> ! [X34,X0] : hAPP(c_COMBI(X0),X34) = X34 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f180,axiom,
! [X0,X34] : hAPP(c_COMBI(X0),X34) = X34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
fof(f1021,plain,
spl0_36,
inference(avatar_split_clause,[],[f139,f1019]) ).
fof(f139,axiom,
! [X0] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).
fof(f1017,plain,
spl0_35,
inference(avatar_split_clause,[],[f91,f1015]) ).
fof(f1015,plain,
( spl0_35
<=> ! [X2,X0] : ~ c_HOL_Oord__class_Oless(X2,X2,tc_fun(X0,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f91,axiom,
! [X2,X0] : ~ c_HOL_Oord__class_Oless(X2,X2,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
fof(f1013,plain,
spl0_34,
inference(avatar_split_clause,[],[f89,f1011]) ).
fof(f1011,plain,
( spl0_34
<=> ! [X2,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f89,axiom,
! [X2,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
fof(f1009,plain,
spl0_33,
inference(avatar_split_clause,[],[f88,f1007]) ).
fof(f1007,plain,
( spl0_33
<=> ! [X2,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f88,axiom,
! [X2,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
fof(f1005,plain,
spl0_32,
inference(avatar_split_clause,[],[f87,f1003]) ).
fof(f1003,plain,
( spl0_32
<=> ! [X2,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f87,axiom,
! [X2,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
fof(f1001,plain,
spl0_31,
inference(avatar_split_clause,[],[f563,f999]) ).
fof(f999,plain,
( spl0_31
<=> ! [X78] :
( ~ class_Finite__Set_Ofinite_Ofinite(X78)
| class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f563,axiom,
! [X78] :
( ~ class_Finite__Set_Ofinite_Ofinite(X78)
| class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite) ).
fof(f997,plain,
spl0_30,
inference(avatar_split_clause,[],[f426,f995]) ).
fof(f995,plain,
( spl0_30
<=> ! [X44,X43] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X43,X44) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f426,axiom,
! [X44,X43] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X43,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
fof(f993,plain,
spl0_29,
inference(avatar_split_clause,[],[f203,f991]) ).
fof(f991,plain,
( spl0_29
<=> ! [X34,X0] : c_Collect(X34,X0) = X34 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f989,plain,
spl0_28,
inference(avatar_split_clause,[],[f200,f987]) ).
fof(f987,plain,
( spl0_28
<=> ! [X39,X40] : c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OSKIP ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f200,axiom,
! [X40,X39] : c_Com_Ocom_OWhile(X39,X40) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I17_J_0) ).
fof(f985,plain,
spl0_27,
inference(avatar_split_clause,[],[f127,f983]) ).
fof(f983,plain,
( spl0_27
<=> ! [X4,X0] :
( ~ class_Finite__Set_Ofinite_Ofinite(X0)
| c_Finite__Set_Ofinite(X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f127,axiom,
! [X0,X4] :
( ~ class_Finite__Set_Ofinite_Ofinite(X0)
| c_Finite__Set_Ofinite(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
fof(f981,plain,
( spl0_26
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f976,f971,f978]) ).
fof(f971,plain,
( spl0_25
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f976,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f975,f588]) ).
fof(f975,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f973,f568]) ).
fof(f973,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f974,plain,
spl0_25,
inference(avatar_split_clause,[],[f529,f971]) ).
fof(f529,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f969,plain,
( spl0_24
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f964,f959,f966]) ).
fof(f959,plain,
( spl0_23
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f964,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f963,f588]) ).
fof(f963,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f961,f568]) ).
fof(f961,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f962,plain,
spl0_23,
inference(avatar_split_clause,[],[f528,f959]) ).
fof(f528,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f957,plain,
spl0_22,
inference(avatar_split_clause,[],[f415,f955]) ).
fof(f955,plain,
( spl0_22
<=> ! [X33] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OSKIP ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f415,axiom,
! [X33] : c_Com_Ocom_OBODY(X33) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I19_J_0) ).
fof(f953,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f530,f950,f946]) ).
fof(f530,axiom,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f944,plain,
spl0_19,
inference(avatar_split_clause,[],[f562,f941]) ).
fof(f941,plain,
( spl0_19
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f562,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f939,plain,
spl0_18,
inference(avatar_split_clause,[],[f561,f936]) ).
fof(f936,plain,
( spl0_18
<=> class_HOL_Ominus(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f561,axiom,
class_HOL_Ominus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).
fof(f934,plain,
spl0_17,
inference(avatar_split_clause,[],[f560,f931]) ).
fof(f931,plain,
( spl0_17
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f560,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
fof(f929,plain,
spl0_16,
inference(avatar_split_clause,[],[f559,f926]) ).
fof(f926,plain,
( spl0_16
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f559,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f924,plain,
spl0_15,
inference(avatar_split_clause,[],[f558,f921]) ).
fof(f921,plain,
( spl0_15
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f558,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f919,plain,
spl0_14,
inference(avatar_split_clause,[],[f557,f916]) ).
fof(f916,plain,
( spl0_14
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f557,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f914,plain,
spl0_13,
inference(avatar_split_clause,[],[f556,f911]) ).
fof(f911,plain,
( spl0_13
<=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f556,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
fof(f909,plain,
spl0_12,
inference(avatar_split_clause,[],[f555,f906]) ).
fof(f906,plain,
( spl0_12
<=> class_Lattices_Obounded__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f555,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f904,plain,
spl0_11,
inference(avatar_split_clause,[],[f554,f901]) ).
fof(f901,plain,
( spl0_11
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f554,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f899,plain,
spl0_10,
inference(avatar_split_clause,[],[f553,f896]) ).
fof(f896,plain,
( spl0_10
<=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f553,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(f894,plain,
spl0_9,
inference(avatar_split_clause,[],[f552,f891]) ).
fof(f891,plain,
( spl0_9
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f552,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
fof(f889,plain,
spl0_8,
inference(avatar_split_clause,[],[f551,f886]) ).
fof(f886,plain,
( spl0_8
<=> class_HOL_Ominus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f551,axiom,
class_HOL_Ominus(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Ominus) ).
fof(f884,plain,
spl0_7,
inference(avatar_split_clause,[],[f550,f881]) ).
fof(f881,plain,
( spl0_7
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f550,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
fof(f879,plain,
spl0_6,
inference(avatar_split_clause,[],[f549,f876]) ).
fof(f876,plain,
( spl0_6
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f549,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f874,plain,
spl0_5,
inference(avatar_split_clause,[],[f548,f871]) ).
fof(f871,plain,
( spl0_5
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f548,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f869,plain,
spl0_4,
inference(avatar_split_clause,[],[f547,f866]) ).
fof(f866,plain,
( spl0_4
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f547,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f864,plain,
spl0_3,
inference(avatar_split_clause,[],[f546,f861]) ).
fof(f861,plain,
( spl0_3
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f546,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f859,plain,
spl0_2,
inference(avatar_split_clause,[],[f545,f856]) ).
fof(f856,plain,
( spl0_2
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f545,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(f854,plain,
spl0_1,
inference(avatar_split_clause,[],[f544,f851]) ).
fof(f851,plain,
( spl0_1
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f544,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:33:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (5551)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (5555)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (5554)WARNING: value z3 for option sas not known
% 0.21/0.40 % (5552)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 % (5553)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (5554)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)
% 0.21/0.40 % (5556)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)
% 0.21/0.40 % (5557)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)
% 0.21/0.40 % (5558)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)
% 0.21/0.44 % (5556)First to succeed.
% 0.21/0.45 % (5556)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (5556)------------------------------
% 0.21/0.45 % (5556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (5556)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (5556)Memory used [KB]: 1865
% 0.21/0.45 % (5556)Time elapsed: 0.052 s
% 0.21/0.45 % (5556)Instructions burned: 87 (million)
% 0.21/0.45 % (5556)------------------------------
% 0.21/0.45 % (5556)------------------------------
% 0.21/0.45 % (5551)Success in time 0.098 s
%------------------------------------------------------------------------------