TSTP Solution File: NUM576+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM576+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 May 21 02:09:53 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 313
% Syntax : Number of formulae : 949 ( 214 unt; 0 def)
% Number of atoms : 3675 ( 553 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 4434 (1708 ~;1821 |; 495 &)
% ( 281 <=>; 129 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 227 ( 225 usr; 205 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 11 con; 0-3 aty)
% Number of variables : 1566 (1476 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2218,plain,
$false,
inference(avatar_sat_refutation,[],[f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f619,f624,f629,f634,f639,f644,f648,f652,f656,f660,f664,f675,f680,f684,f688,f692,f697,f701,f705,f709,f713,f717,f722,f727,f732,f756,f762,f767,f771,f775,f779,f783,f787,f791,f795,f799,f803,f813,f832,f838,f842,f846,f850,f854,f858,f862,f866,f896,f900,f904,f908,f912,f916,f920,f924,f928,f932,f936,f940,f944,f948,f952,f986,f996,f1000,f1004,f1008,f1012,f1016,f1020,f1024,f1028,f1032,f1036,f1040,f1044,f1049,f1053,f1079,f1099,f1103,f1107,f1111,f1115,f1120,f1124,f1151,f1155,f1159,f1164,f1168,f1172,f1176,f1180,f1184,f1188,f1192,f1196,f1200,f1204,f1209,f1253,f1271,f1275,f1279,f1283,f1287,f1291,f1295,f1300,f1304,f1308,f1335,f1339,f1343,f1347,f1351,f1355,f1359,f1363,f1367,f1371,f1429,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1462,f1466,f1470,f1474,f1478,f1482,f1486,f1490,f1558,f1608,f1613,f1624,f1628,f1632,f1692,f1699,f1704,f1708,f1712,f1716,f1720,f1724,f1764,f1771,f1775,f1779,f1783,f1787,f1791,f1795,f1839,f1917,f1921,f1963,f1967,f1971,f1975,f2017,f2021,f2025,f2050,f2054,f2090,f2094,f2114,f2125,f2129,f2133,f2149,f2153,f2167,f2172,f2176,f2182,f2212,f2217]) ).
fof(f2217,plain,
( ~ spl33_18
| ~ spl33_17
| ~ spl33_143
| spl33_1
| ~ spl33_132
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1580,f1468,f1332,f522,f1431,f602,f607]) ).
fof(f607,plain,
( spl33_18
<=> aElementOf0(xj,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f602,plain,
( spl33_17
<=> aElementOf0(xi,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f1431,plain,
( spl33_143
<=> sdtlseqdt0(xj,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
fof(f522,plain,
( spl33_1
<=> xi = xj ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f1332,plain,
( spl33_132
<=> sdtlseqdt0(xi,xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
fof(f1468,plain,
( spl33_152
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_152])]) ).
fof(f1580,plain,
( xi = xj
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ spl33_132
| ~ spl33_152 ),
inference(resolution,[],[f1469,f1334]) ).
fof(f1334,plain,
( sdtlseqdt0(xi,xj)
| ~ spl33_132 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1469,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_152 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f2212,plain,
( spl33_204
| ~ spl33_19
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f739,f699,f612,f2209]) ).
fof(f2209,plain,
( spl33_204
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_204])]) ).
fof(f612,plain,
( spl33_19
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f699,plain,
( spl33_37
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f739,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl33_19
| ~ spl33_37 ),
inference(resolution,[],[f700,f614]) ).
fof(f614,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f700,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f2182,plain,
spl33_203,
inference(avatar_split_clause,[],[f335,f2180]) ).
fof(f2180,plain,
( spl33_203
<=> ! [X0,X5,X2,X1] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_203])]) ).
fof(f335,plain,
! [X2,X0,X1,X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1)
& aElementOf0(sK12(X0,X1,X2),xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f100,f222,f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
=> ( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(sK12(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
=> ( ! [X5] :
( sdtlpdtrp0(X2,X5) = sK12(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK13(X0,X1,X2),X0)) )
& isCountable0(sK13(X0,X1,X2))
& aSubsetOf0(sK13(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
& slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f2176,plain,
spl33_202,
inference(avatar_split_clause,[],[f333,f2174]) ).
fof(f2174,plain,
( spl33_202
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_202])]) ).
fof(f333,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK13(X0,X1,X2),X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2172,plain,
spl33_201,
inference(avatar_split_clause,[],[f332,f2170]) ).
fof(f2170,plain,
( spl33_201
<=> ! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_201])]) ).
fof(f332,plain,
! [X2,X0,X1] :
( aElementOf0(sK12(X0,X1,X2),xT)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2167,plain,
spl33_200,
inference(avatar_split_clause,[],[f334,f2165]) ).
fof(f2165,plain,
( spl33_200
<=> ! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_200])]) ).
fof(f334,plain,
! [X2,X0,X1] :
( isCountable0(sK13(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2153,plain,
spl33_199,
inference(avatar_split_clause,[],[f460,f2151]) ).
fof(f2151,plain,
( spl33_199
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_199])]) ).
fof(f460,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ( ( sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( sK29(X0,X1,X2) != X0
& aElementOf0(sK29(X0,X1,X2),X1)
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f289,f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK29(X0,X1,X2) = X0
| ~ aElementOf0(sK29(X0,X1,X2),X1)
| ~ aElement0(sK29(X0,X1,X2))
| ~ aElementOf0(sK29(X0,X1,X2),X2) )
& ( ( sK29(X0,X1,X2) != X0
& aElementOf0(sK29(X0,X1,X2),X1)
& aElement0(sK29(X0,X1,X2)) )
| aElementOf0(sK29(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f288]) ).
fof(f288,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(flattening,[],[f287]) ).
fof(f287,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X1,X0,X2] :
( sP9(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2149,plain,
spl33_198,
inference(avatar_split_clause,[],[f439,f2147]) ).
fof(f2147,plain,
( spl33_198
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_198])]) ).
fof(f439,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f277,f278]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) != X0
| ~ aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
& aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X1,X0,X2] :
( sP6(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2133,plain,
spl33_197,
inference(avatar_split_clause,[],[f480,f2131]) ).
fof(f2131,plain,
( spl33_197
<=> ! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_197])]) ).
fof(f480,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f2129,plain,
spl33_196,
inference(avatar_split_clause,[],[f477,f2127]) ).
fof(f2127,plain,
( spl33_196
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_196])]) ).
fof(f477,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f301,f302]) ).
fof(f302,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f300]) ).
fof(f300,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2125,plain,
spl33_195,
inference(avatar_split_clause,[],[f409,f2123]) ).
fof(f2123,plain,
( spl33_195
<=> ! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_195])]) ).
fof(f409,plain,
! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( sz00 != X0
& aSet0(X2)
& aSet0(X1) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelSub) ).
fof(f2114,plain,
spl33_194,
inference(avatar_split_clause,[],[f320,f2112]) ).
fof(f2112,plain,
( spl33_194
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_194])]) ).
fof(f320,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f2094,plain,
spl33_193,
inference(avatar_split_clause,[],[f361,f2092]) ).
fof(f2092,plain,
( spl33_193
<=> ! [X4,X0,X2,X1] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_193])]) ).
fof(f361,plain,
! [X2,X0,X1,X4] :
( sP2(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f235,f238,f237,f236]) ).
fof(f236,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK15(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK15(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK15(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
& aElementOf0(sK16(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
& aElementOf0(sK17(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( sP2(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2090,plain,
spl33_192,
inference(avatar_split_clause,[],[f360,f2088]) ).
fof(f2088,plain,
( spl33_192
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_192])]) ).
fof(f360,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| sK15(X0,X1,X2) = sdtlpdtrp0(X0,sK16(X0,X1,X2))
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f2054,plain,
spl33_191,
inference(avatar_split_clause,[],[f494,f2052]) ).
fof(f2052,plain,
( spl33_191
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_191])]) ).
fof(f494,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK14(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK14(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f351]) ).
fof(f351,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f228,f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2050,plain,
spl33_190,
inference(avatar_split_clause,[],[f447,f2048]) ).
fof(f2048,plain,
( spl33_190
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_190])]) ).
fof(f447,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ( ( sK28(X0,X1,X2) != X0
& ~ aElementOf0(sK28(X0,X1,X2),X1) )
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( ( sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1) )
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f282,f283]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK28(X0,X1,X2) != X0
& ~ aElementOf0(sK28(X0,X1,X2),X1) )
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) )
& ( ( ( sK28(X0,X1,X2) = X0
| aElementOf0(sK28(X0,X1,X2),X1) )
& aElement0(sK28(X0,X1,X2)) )
| aElementOf0(sK28(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(flattening,[],[f280]) ).
fof(f280,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X1,X0,X2] :
( sP8(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2025,plain,
spl33_189,
inference(avatar_split_clause,[],[f448,f2023]) ).
fof(f2023,plain,
( spl33_189
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_189])]) ).
fof(f448,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f2021,plain,
spl33_188,
inference(avatar_split_clause,[],[f407,f2019]) ).
fof(f2019,plain,
( spl33_188
<=> ! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_188])]) ).
fof(f407,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f254,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| ~ aElementOf0(sK22(X0,X1),szNzAzT0)
| ~ aElementOf0(sK22(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
& aElementOf0(sK22(X0,X1),szNzAzT0) )
| aElementOf0(sK22(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(flattening,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2017,plain,
spl33_187,
inference(avatar_split_clause,[],[f368,f2015]) ).
fof(f2015,plain,
( spl33_187
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_187])]) ).
fof(f368,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f111,f240]) ).
fof(f240,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK19(X0)) = sdtlpdtrp0(X0,sK18(X0))
& sK18(X0) != sK19(X0)
& aElementOf0(sK19(X0),szDzozmdt0(X0))
& aElementOf0(sK18(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f1975,plain,
spl33_186,
inference(avatar_split_clause,[],[f468,f1973]) ).
fof(f1973,plain,
( spl33_186
<=> ! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_186])]) ).
fof(f468,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f179,f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK31(X0,X1,X2),X1))
& isFinite0(sK31(X0,X1,X2))
& aSubsetOf0(sK31(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(f1971,plain,
spl33_185,
inference(avatar_split_clause,[],[f438,f1969]) ).
fof(f1969,plain,
( spl33_185
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_185])]) ).
fof(f438,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| sdtlpdtrp0(X1,sK27(X0,X1,X2)) = X0
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1967,plain,
spl33_184,
inference(avatar_split_clause,[],[f420,f1965]) ).
fof(f1965,plain,
( spl33_184
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_184])]) ).
fof(f420,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK23(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f259,f260]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK23(X0,X1),X1)
& aElementOf0(sK23(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f1963,plain,
spl33_183,
inference(avatar_split_clause,[],[f419,f1961]) ).
fof(f1961,plain,
( spl33_183
<=> ! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_183])]) ).
fof(f419,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK23(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1921,plain,
spl33_182,
inference(avatar_split_clause,[],[f476,f1919]) ).
fof(f1919,plain,
( spl33_182
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_182])]) ).
fof(f476,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sbrdtbr0(sK32(X0,X1,X2)) = X0
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1917,plain,
spl33_181,
inference(avatar_split_clause,[],[f437,f1915]) ).
fof(f1915,plain,
( spl33_181
<=> ! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_181])]) ).
fof(f437,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK27(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1839,plain,
( spl33_180
| ~ spl33_18
| ~ spl33_38 ),
inference(avatar_split_clause,[],[f748,f703,f607,f1836]) ).
fof(f1836,plain,
( spl33_180
<=> sdtlseqdt0(sz00,xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_180])]) ).
fof(f703,plain,
( spl33_38
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f748,plain,
( sdtlseqdt0(sz00,xj)
| ~ spl33_18
| ~ spl33_38 ),
inference(resolution,[],[f704,f609]) ).
fof(f609,plain,
( aElementOf0(xj,szNzAzT0)
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f704,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl33_38 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1795,plain,
spl33_179,
inference(avatar_split_clause,[],[f492,f1793]) ).
fof(f1793,plain,
( spl33_179
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_179])]) ).
fof(f492,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f1791,plain,
spl33_178,
inference(avatar_split_clause,[],[f488,f1789]) ).
fof(f1789,plain,
( spl33_178
<=> ! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_178])]) ).
fof(f488,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f1787,plain,
spl33_177,
inference(avatar_split_clause,[],[f475,f1785]) ).
fof(f1785,plain,
( spl33_177
<=> ! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_177])]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aSubsetOf0(sK32(X0,X1,X2),X1)
| aElementOf0(sK32(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1783,plain,
spl33_176,
inference(avatar_split_clause,[],[f466,f1781]) ).
fof(f1781,plain,
( spl33_176
<=> ! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_176])]) ).
fof(f466,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f1779,plain,
spl33_175,
inference(avatar_split_clause,[],[f426,f1777]) ).
fof(f1777,plain,
( spl33_175
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_175])]) ).
fof(f426,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK25(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f266,f267]) ).
fof(f267,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f1775,plain,
spl33_174,
inference(avatar_split_clause,[],[f425,f1773]) ).
fof(f1773,plain,
( spl33_174
<=> ! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_174])]) ).
fof(f425,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK25(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1771,plain,
spl33_173,
inference(avatar_split_clause,[],[f359,f1769]) ).
fof(f1769,plain,
( spl33_173
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_173])]) ).
fof(f359,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK16(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1764,plain,
( spl33_172
| ~ spl33_17
| ~ spl33_38 ),
inference(avatar_split_clause,[],[f747,f703,f602,f1761]) ).
fof(f1761,plain,
( spl33_172
<=> sdtlseqdt0(sz00,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_172])]) ).
fof(f747,plain,
( sdtlseqdt0(sz00,xi)
| ~ spl33_17
| ~ spl33_38 ),
inference(resolution,[],[f704,f604]) ).
fof(f604,plain,
( aElementOf0(xi,szNzAzT0)
| ~ spl33_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1724,plain,
spl33_171,
inference(avatar_split_clause,[],[f467,f1722]) ).
fof(f1722,plain,
( spl33_171
<=> ! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_171])]) ).
fof(f467,plain,
! [X2,X0,X1] :
( isFinite0(sK31(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f1720,plain,
spl33_170,
inference(avatar_split_clause,[],[f465,f1718]) ).
fof(f1718,plain,
( spl33_170
<=> ! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_170])]) ).
fof(f465,plain,
! [X0,X1] :
( sbrdtbr0(sK30(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f177,f294]) ).
fof(f294,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f1716,plain,
spl33_169,
inference(avatar_split_clause,[],[f411,f1714]) ).
fof(f1714,plain,
( spl33_169
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_169])]) ).
fof(f411,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f1712,plain,
spl33_168,
inference(avatar_split_clause,[],[f367,f1710]) ).
fof(f1710,plain,
( spl33_168
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_168])]) ).
fof(f367,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK18(X0) != sK19(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f1708,plain,
spl33_167,
inference(avatar_split_clause,[],[f366,f1706]) ).
fof(f1706,plain,
( spl33_167
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_167])]) ).
fof(f366,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK19(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f1704,plain,
( spl33_166
| ~ spl33_16
| ~ spl33_38 ),
inference(avatar_split_clause,[],[f746,f703,f597,f1701]) ).
fof(f1701,plain,
( spl33_166
<=> sdtlseqdt0(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_166])]) ).
fof(f597,plain,
( spl33_16
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f746,plain,
( sdtlseqdt0(sz00,xk)
| ~ spl33_16
| ~ spl33_38 ),
inference(resolution,[],[f704,f599]) ).
fof(f599,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1699,plain,
spl33_165,
inference(avatar_split_clause,[],[f365,f1697]) ).
fof(f1697,plain,
( spl33_165
<=> ! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_165])]) ).
fof(f365,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK18(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f1692,plain,
spl33_164,
inference(avatar_split_clause,[],[f321,f1690]) ).
fof(f1690,plain,
( spl33_164
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_164])]) ).
fof(f321,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f1632,plain,
spl33_163,
inference(avatar_split_clause,[],[f464,f1630]) ).
fof(f1630,plain,
( spl33_163
<=> ! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_163])]) ).
fof(f464,plain,
! [X0,X1] :
( aSubsetOf0(sK30(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1628,plain,
spl33_162,
inference(avatar_split_clause,[],[f458,f1626]) ).
fof(f1626,plain,
( spl33_162
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_162])]) ).
fof(f458,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElementOf0(sK29(X0,X1,X2),X1)
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1624,plain,
spl33_161,
inference(avatar_split_clause,[],[f406,f1622]) ).
fof(f1622,plain,
( spl33_161
<=> ! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_161])]) ).
fof(f406,plain,
! [X0,X1] :
( sP4(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK22(X0,X1)),X0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1613,plain,
( spl33_160
| ~ spl33_14
| ~ spl33_38 ),
inference(avatar_split_clause,[],[f745,f703,f587,f1610]) ).
fof(f1610,plain,
( spl33_160
<=> sdtlseqdt0(sz00,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_160])]) ).
fof(f587,plain,
( spl33_14
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f745,plain,
( sdtlseqdt0(sz00,xK)
| ~ spl33_14
| ~ spl33_38 ),
inference(resolution,[],[f704,f589]) ).
fof(f589,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1608,plain,
spl33_159,
inference(avatar_split_clause,[],[f336,f1606]) ).
fof(f1606,plain,
( spl33_159
<=> ! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_159])]) ).
fof(f336,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f1558,plain,
( spl33_158
| ~ spl33_18
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f743,f699,f607,f1555]) ).
fof(f1555,plain,
( spl33_158
<=> sdtlseqdt0(xj,xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_158])]) ).
fof(f743,plain,
( sdtlseqdt0(xj,xj)
| ~ spl33_18
| ~ spl33_37 ),
inference(resolution,[],[f700,f609]) ).
fof(f1490,plain,
spl33_157,
inference(avatar_split_clause,[],[f519,f1488]) ).
fof(f1488,plain,
( spl33_157
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_157])]) ).
fof(f519,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK28(X0,X1,X2) != X0
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1486,plain,
spl33_156,
inference(avatar_split_clause,[],[f501,f1484]) ).
fof(f1484,plain,
( spl33_156
<=> ! [X0,X3] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_156])]) ).
fof(f501,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f418]) ).
fof(f418,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1482,plain,
spl33_155,
inference(avatar_split_clause,[],[f495,f1480]) ).
fof(f1480,plain,
( spl33_155
<=> ! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_155])]) ).
fof(f495,plain,
! [X0,X1] :
( sP0(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK14(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f350]) ).
fof(f350,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElementOf0(sK14(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1478,plain,
spl33_154,
inference(avatar_split_clause,[],[f491,f1476]) ).
fof(f1476,plain,
( spl33_154
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_154])]) ).
fof(f491,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f1474,plain,
spl33_153,
inference(avatar_split_clause,[],[f489,f1472]) ).
fof(f1472,plain,
( spl33_153
<=> ! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_153])]) ).
fof(f489,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1470,plain,
spl33_152,
inference(avatar_split_clause,[],[f483,f1468]) ).
fof(f483,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f1466,plain,
spl33_151,
inference(avatar_split_clause,[],[f463,f1464]) ).
fof(f1464,plain,
( spl33_151
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_151])]) ).
fof(f463,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP9(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f175,f216]) ).
fof(f175,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f1462,plain,
spl33_150,
inference(avatar_split_clause,[],[f457,f1460]) ).
fof(f1460,plain,
( spl33_150
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_150])]) ).
fof(f457,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| aElement0(sK29(X0,X1,X2))
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1458,plain,
spl33_149,
inference(avatar_split_clause,[],[f456,f1456]) ).
fof(f1456,plain,
( spl33_149
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_149])]) ).
fof(f456,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1454,plain,
spl33_148,
inference(avatar_split_clause,[],[f452,f1452]) ).
fof(f1452,plain,
( spl33_148
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_148])]) ).
fof(f452,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP8(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f173,f214]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f1450,plain,
spl33_147,
inference(avatar_split_clause,[],[f446,f1448]) ).
fof(f1448,plain,
( spl33_147
<=> ! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_147])]) ).
fof(f446,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1446,plain,
spl33_146,
inference(avatar_split_clause,[],[f405,f1444]) ).
fof(f1444,plain,
( spl33_146
<=> ! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_146])]) ).
fof(f405,plain,
! [X0,X1] :
( sP4(X0,X1)
| aElementOf0(sK22(X0,X1),szNzAzT0)
| aElementOf0(sK22(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1442,plain,
spl33_145,
inference(avatar_split_clause,[],[f378,f1440]) ).
fof(f1440,plain,
( spl33_145
<=> ! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_145])]) ).
fof(f378,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f1438,plain,
spl33_144,
inference(avatar_split_clause,[],[f357,f1436]) ).
fof(f1436,plain,
( spl33_144
<=> ! [X0,X6,X2,X1] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f357,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK17(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1434,plain,
( ~ spl33_18
| ~ spl33_17
| spl33_143
| spl33_3
| ~ spl33_127 ),
inference(avatar_split_clause,[],[f1324,f1289,f532,f1431,f602,f607]) ).
fof(f532,plain,
( spl33_3
<=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f1289,plain,
( spl33_127
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f1324,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| spl33_3
| ~ spl33_127 ),
inference(resolution,[],[f1290,f534]) ).
fof(f534,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| spl33_3 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f1290,plain,
( ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl33_127 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1429,plain,
spl33_142,
inference(avatar_split_clause,[],[f344,f1427]) ).
fof(f1427,plain,
( spl33_142
<=> ! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_142])]) ).
fof(f344,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f1371,plain,
spl33_141,
inference(avatar_split_clause,[],[f487,f1369]) ).
fof(f1369,plain,
( spl33_141
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
fof(f487,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f1367,plain,
spl33_140,
inference(avatar_split_clause,[],[f486,f1365]) ).
fof(f1365,plain,
( spl33_140
<=> ! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_140])]) ).
fof(f486,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f1363,plain,
spl33_139,
inference(avatar_split_clause,[],[f485,f1361]) ).
fof(f1361,plain,
( spl33_139
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_139])]) ).
fof(f485,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1359,plain,
spl33_138,
inference(avatar_split_clause,[],[f484,f1357]) ).
fof(f1357,plain,
( spl33_138
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_138])]) ).
fof(f484,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1355,plain,
spl33_137,
inference(avatar_split_clause,[],[f482,f1353]) ).
fof(f1353,plain,
( spl33_137
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_137])]) ).
fof(f482,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1351,plain,
spl33_136,
inference(avatar_split_clause,[],[f479,f1349]) ).
fof(f1349,plain,
( spl33_136
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_136])]) ).
fof(f479,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f1347,plain,
spl33_135,
inference(avatar_split_clause,[],[f416,f1345]) ).
fof(f1345,plain,
( spl33_135
<=> ! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_135])]) ).
fof(f416,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(f1343,plain,
spl33_134,
inference(avatar_split_clause,[],[f364,f1341]) ).
fof(f1341,plain,
( spl33_134
<=> ! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_134])]) ).
fof(f364,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f1339,plain,
spl33_133,
inference(avatar_split_clause,[],[f349,f1337]) ).
fof(f1337,plain,
( spl33_133
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_133])]) ).
fof(f349,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f1335,plain,
( ~ spl33_17
| ~ spl33_18
| spl33_132
| spl33_2
| ~ spl33_127 ),
inference(avatar_split_clause,[],[f1323,f1289,f527,f1332,f607,f602]) ).
fof(f527,plain,
( spl33_2
<=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f1323,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| spl33_2
| ~ spl33_127 ),
inference(resolution,[],[f1290,f529]) ).
fof(f529,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
| spl33_2 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f1308,plain,
spl33_131,
inference(avatar_split_clause,[],[f520,f1306]) ).
fof(f1306,plain,
( spl33_131
<=> ! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_131])]) ).
fof(f520,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f459]) ).
fof(f459,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK29(X0,X1,X2) != X0
| aElementOf0(sK29(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1304,plain,
spl33_130,
inference(avatar_split_clause,[],[f508,f1302]) ).
fof(f1302,plain,
( spl33_130
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_130])]) ).
fof(f508,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1300,plain,
( spl33_129
| ~ spl33_17
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f742,f699,f602,f1297]) ).
fof(f1297,plain,
( spl33_129
<=> sdtlseqdt0(xi,xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_129])]) ).
fof(f742,plain,
( sdtlseqdt0(xi,xi)
| ~ spl33_17
| ~ spl33_37 ),
inference(resolution,[],[f700,f604]) ).
fof(f1295,plain,
spl33_128,
inference(avatar_split_clause,[],[f503,f1293]) ).
fof(f1293,plain,
( spl33_128
<=> ! [X0,X3] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_128])]) ).
fof(f503,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f424]) ).
fof(f424,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1291,plain,
spl33_127,
inference(avatar_split_clause,[],[f481,f1289]) ).
fof(f481,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1287,plain,
spl33_126,
inference(avatar_split_clause,[],[f443,f1285]) ).
fof(f1285,plain,
( spl33_126
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f443,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1283,plain,
spl33_125,
inference(avatar_split_clause,[],[f441,f1281]) ).
fof(f1281,plain,
( spl33_125
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_125])]) ).
fof(f441,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f1279,plain,
spl33_124,
inference(avatar_split_clause,[],[f404,f1277]) ).
fof(f1277,plain,
( spl33_124
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_124])]) ).
fof(f404,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1275,plain,
spl33_123,
inference(avatar_split_clause,[],[f356,f1273]) ).
fof(f1273,plain,
( spl33_123
<=> ! [X0,X6,X2,X1] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_123])]) ).
fof(f356,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK17(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1271,plain,
spl33_122,
inference(avatar_split_clause,[],[f343,f1269]) ).
fof(f1269,plain,
( spl33_122
<=> ! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_122])]) ).
fof(f343,plain,
! [X0] :
( aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f1253,plain,
( spl33_121
| ~ spl33_16
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f741,f699,f597,f1250]) ).
fof(f1250,plain,
( spl33_121
<=> sdtlseqdt0(xk,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f741,plain,
( sdtlseqdt0(xk,xk)
| ~ spl33_16
| ~ spl33_37 ),
inference(resolution,[],[f700,f599]) ).
fof(f1209,plain,
( spl33_120
| ~ spl33_14
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f740,f699,f587,f1206]) ).
fof(f1206,plain,
( spl33_120
<=> sdtlseqdt0(xK,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_120])]) ).
fof(f740,plain,
( sdtlseqdt0(xK,xK)
| ~ spl33_14
| ~ spl33_37 ),
inference(resolution,[],[f700,f589]) ).
fof(f1204,plain,
spl33_119,
inference(avatar_split_clause,[],[f502,f1202]) ).
fof(f1202,plain,
( spl33_119
<=> ! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_119])]) ).
fof(f502,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1200,plain,
spl33_118,
inference(avatar_split_clause,[],[f497,f1198]) ).
fof(f1198,plain,
( spl33_118
<=> ! [X0,X7,X2,X1] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_118])]) ).
fof(f497,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(equality_resolution,[],[f358]) ).
fof(f358,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1196,plain,
spl33_117,
inference(avatar_split_clause,[],[f470,f1194]) ).
fof(f1194,plain,
( spl33_117
<=> ! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_117])]) ).
fof(f470,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1192,plain,
spl33_116,
inference(avatar_split_clause,[],[f444,f1190]) ).
fof(f1190,plain,
( spl33_116
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_116])]) ).
fof(f444,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1188,plain,
spl33_115,
inference(avatar_split_clause,[],[f435,f1186]) ).
fof(f1186,plain,
( spl33_115
<=> ! [X2,X4,X0,X1] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_115])]) ).
fof(f435,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1184,plain,
spl33_114,
inference(avatar_split_clause,[],[f432,f1182]) ).
fof(f1182,plain,
( spl33_114
<=> ! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_114])]) ).
fof(f432,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP6(X1,X0,X2) )
& ( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP7(X0,X1) ),
inference(nnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP6(X1,X0,X2) )
| ~ sP7(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1180,plain,
spl33_113,
inference(avatar_split_clause,[],[f410,f1178]) ).
fof(f1178,plain,
( spl33_113
<=> ! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_113])]) ).
fof(f410,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(f1176,plain,
spl33_112,
inference(avatar_split_clause,[],[f382,f1174]) ).
fof(f1174,plain,
( spl33_112
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_112])]) ).
fof(f382,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK20(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f246,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1172,plain,
spl33_111,
inference(avatar_split_clause,[],[f381,f1170]) ).
fof(f1170,plain,
( spl33_111
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_111])]) ).
fof(f381,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK20(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1168,plain,
spl33_110,
inference(avatar_split_clause,[],[f377,f1166]) ).
fof(f1166,plain,
( spl33_110
<=> ! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_110])]) ).
fof(f377,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f1164,plain,
( spl33_109
| ~ spl33_18
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f737,f690,f607,f1161]) ).
fof(f1161,plain,
( spl33_109
<=> isFinite0(slbdtrb0(xj)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_109])]) ).
fof(f690,plain,
( spl33_35
<=> ! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f737,plain,
( isFinite0(slbdtrb0(xj))
| ~ spl33_18
| ~ spl33_35 ),
inference(resolution,[],[f691,f609]) ).
fof(f691,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) )
| ~ spl33_35 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f1159,plain,
spl33_108,
inference(avatar_split_clause,[],[f376,f1157]) ).
fof(f1157,plain,
( spl33_108
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_108])]) ).
fof(f376,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f1155,plain,
spl33_107,
inference(avatar_split_clause,[],[f354,f1153]) ).
fof(f1153,plain,
( spl33_107
<=> ! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_107])]) ).
fof(f354,plain,
! [X2,X0,X1] :
( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f231]) ).
fof(f231,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP2(X0,X1,X2) )
& ( sP2(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP2(X0,X1,X2) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1151,plain,
spl33_106,
inference(avatar_split_clause,[],[f346,f1149]) ).
fof(f1149,plain,
( spl33_106
<=> ! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_106])]) ).
fof(f346,plain,
! [X2,X0,X1] :
( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1124,plain,
spl33_105,
inference(avatar_split_clause,[],[f516,f1122]) ).
fof(f1122,plain,
( spl33_105
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_105])]) ).
fof(f516,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X1)
| ~ sP10(sbrdtbr0(X4),X1,X2) ),
inference(equality_resolution,[],[f474]) ).
fof(f474,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1120,plain,
( spl33_104
| ~ spl33_17
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f736,f690,f602,f1117]) ).
fof(f1117,plain,
( spl33_104
<=> isFinite0(slbdtrb0(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f736,plain,
( isFinite0(slbdtrb0(xi))
| ~ spl33_17
| ~ spl33_35 ),
inference(resolution,[],[f691,f604]) ).
fof(f1115,plain,
spl33_103,
inference(avatar_split_clause,[],[f473,f1113]) ).
fof(f1113,plain,
( spl33_103
<=> ! [X4,X0,X2,X1] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f473,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X0
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1111,plain,
spl33_102,
inference(avatar_split_clause,[],[f434,f1109]) ).
fof(f1109,plain,
( spl33_102
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f434,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X1))
| ~ aElementOf0(X4,X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1107,plain,
spl33_101,
inference(avatar_split_clause,[],[f412,f1105]) ).
fof(f1105,plain,
( spl33_101
<=> ! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
fof(f412,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1103,plain,
spl33_100,
inference(avatar_split_clause,[],[f398,f1101]) ).
fof(f1101,plain,
( spl33_100
<=> ! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f398,plain,
! [X0] :
( szszuzczcdt0(sK21(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f141,f249]) ).
fof(f249,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1099,plain,
spl33_99,
inference(avatar_split_clause,[],[f380,f1097]) ).
fof(f1097,plain,
( spl33_99
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f380,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1079,plain,
( spl33_98
| ~ spl33_16
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f735,f690,f597,f1076]) ).
fof(f1076,plain,
( spl33_98
<=> isFinite0(slbdtrb0(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f735,plain,
( isFinite0(slbdtrb0(xk))
| ~ spl33_16
| ~ spl33_35 ),
inference(resolution,[],[f691,f599]) ).
fof(f1053,plain,
spl33_97,
inference(avatar_split_clause,[],[f513,f1051]) ).
fof(f1051,plain,
( spl33_97
<=> ! [X0,X1] :
( sP9(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f513,plain,
! [X0,X1] :
( sP9(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f462]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f1049,plain,
( spl33_96
| ~ spl33_14
| ~ spl33_35 ),
inference(avatar_split_clause,[],[f734,f690,f587,f1046]) ).
fof(f1046,plain,
( spl33_96
<=> isFinite0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f734,plain,
( isFinite0(slbdtrb0(xK))
| ~ spl33_14
| ~ spl33_35 ),
inference(resolution,[],[f691,f589]) ).
fof(f1044,plain,
spl33_95,
inference(avatar_split_clause,[],[f510,f1042]) ).
fof(f1042,plain,
( spl33_95
<=> ! [X0,X1] :
( sP8(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f510,plain,
! [X0,X1] :
( sP8(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f451]) ).
fof(f451,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1040,plain,
spl33_94,
inference(avatar_split_clause,[],[f504,f1038]) ).
fof(f1038,plain,
( spl33_94
<=> ! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f504,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1036,plain,
spl33_93,
inference(avatar_split_clause,[],[f472,f1034]) ).
fof(f1034,plain,
( spl33_93
<=> ! [X4,X0,X1,X2] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f472,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1032,plain,
spl33_92,
inference(avatar_split_clause,[],[f454,f1030]) ).
fof(f1030,plain,
( spl33_92
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f454,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1028,plain,
spl33_91,
inference(avatar_split_clause,[],[f430,f1026]) ).
fof(f1026,plain,
( spl33_91
<=> ! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f430,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f1024,plain,
spl33_90,
inference(avatar_split_clause,[],[f422,f1022]) ).
fof(f1022,plain,
( spl33_90
<=> ! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f422,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f162,f262]) ).
fof(f262,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK24(X0)))
& aElementOf0(sK24(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f1020,plain,
spl33_89,
inference(avatar_split_clause,[],[f403,f1018]) ).
fof(f1018,plain,
( spl33_89
<=> ! [X0,X1,X3] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f403,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1016,plain,
spl33_88,
inference(avatar_split_clause,[],[f397,f1014]) ).
fof(f1014,plain,
( spl33_88
<=> ! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f397,plain,
! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f1012,plain,
spl33_87,
inference(avatar_split_clause,[],[f386,f1010]) ).
fof(f1010,plain,
( spl33_87
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f386,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f1008,plain,
spl33_86,
inference(avatar_split_clause,[],[f385,f1006]) ).
fof(f1006,plain,
( spl33_86
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f385,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f1004,plain,
spl33_85,
inference(avatar_split_clause,[],[f384,f1002]) ).
fof(f1002,plain,
( spl33_85
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f384,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f1000,plain,
spl33_84,
inference(avatar_split_clause,[],[f383,f998]) ).
fof(f998,plain,
( spl33_84
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
fof(f383,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f996,plain,
spl33_83,
inference(avatar_split_clause,[],[f363,f994]) ).
fof(f994,plain,
( spl33_83
<=> ! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
fof(f363,plain,
! [X0,X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgElm) ).
fof(f986,plain,
( spl33_82
| ~ spl33_19
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f666,f662,f612,f983]) ).
fof(f983,plain,
( spl33_82
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f662,plain,
( spl33_30
<=> ! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f666,plain,
( sP5(sz00)
| ~ spl33_19
| ~ spl33_30 ),
inference(resolution,[],[f663,f614]) ).
fof(f663,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(X0) )
| ~ spl33_30 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f952,plain,
spl33_81,
inference(avatar_split_clause,[],[f515,f950]) ).
fof(f950,plain,
( spl33_81
<=> ! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f515,plain,
! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f469]) ).
fof(f469,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
fof(f948,plain,
spl33_80,
inference(avatar_split_clause,[],[f509,f946]) ).
fof(f946,plain,
( spl33_80
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP8(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f509,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP8(X4,X1,X2) ),
inference(equality_resolution,[],[f445]) ).
fof(f445,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f944,plain,
spl33_79,
inference(avatar_split_clause,[],[f507,f942]) ).
fof(f942,plain,
( spl33_79
<=> ! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f507,plain,
! [X0,X1] :
( sP6(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP7(X0,X1) ),
inference(equality_resolution,[],[f431]) ).
fof(f431,plain,
! [X2,X0,X1] :
( sP6(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f940,plain,
spl33_78,
inference(avatar_split_clause,[],[f496,f938]) ).
fof(f938,plain,
( spl33_78
<=> ! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f496,plain,
! [X0,X1] :
( sP2(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f353]) ).
fof(f353,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f936,plain,
spl33_77,
inference(avatar_split_clause,[],[f493,f934]) ).
fof(f934,plain,
( spl33_77
<=> ! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f493,plain,
! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f345]) ).
fof(f345,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f932,plain,
spl33_76,
inference(avatar_split_clause,[],[f453,f930]) ).
fof(f930,plain,
( spl33_76
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f453,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f928,plain,
spl33_75,
inference(avatar_split_clause,[],[f442,f926]) ).
fof(f926,plain,
( spl33_75
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f442,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f924,plain,
spl33_74,
inference(avatar_split_clause,[],[f429,f922]) ).
fof(f922,plain,
( spl33_74
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f429,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f271,f272]) ).
fof(f272,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK26(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f920,plain,
spl33_73,
inference(avatar_split_clause,[],[f421,f918]) ).
fof(f918,plain,
( spl33_73
<=> ! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f421,plain,
! [X0] :
( aElementOf0(sK24(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f916,plain,
spl33_72,
inference(avatar_split_clause,[],[f413,f914]) ).
fof(f914,plain,
( spl33_72
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f413,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f912,plain,
spl33_71,
inference(avatar_split_clause,[],[f402,f910]) ).
fof(f910,plain,
( spl33_71
<=> ! [X0,X1,X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f402,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f908,plain,
spl33_70,
inference(avatar_split_clause,[],[f400,f906]) ).
fof(f906,plain,
( spl33_70
<=> ! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f400,plain,
! [X0,X1] :
( slbdtrb0(X0) = X1
| ~ sP4(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f904,plain,
spl33_69,
inference(avatar_split_clause,[],[f371,f902]) ).
fof(f902,plain,
( spl33_69
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f371,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f900,plain,
spl33_68,
inference(avatar_split_clause,[],[f362,f898]) ).
fof(f898,plain,
( spl33_68
<=> ! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f362,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f107,f206,f205]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f896,plain,
spl33_67,
inference(avatar_split_clause,[],[f352,f894]) ).
fof(f894,plain,
( spl33_67
<=> ! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f352,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f106,f203,f202]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f866,plain,
spl33_66,
inference(avatar_split_clause,[],[f518,f864]) ).
fof(f864,plain,
( spl33_66
<=> ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f518,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f517,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f490]) ).
fof(f490,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f862,plain,
spl33_65,
inference(avatar_split_clause,[],[f514,f860]) ).
fof(f860,plain,
( spl33_65
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f514,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f461]) ).
fof(f461,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f858,plain,
spl33_64,
inference(avatar_split_clause,[],[f511,f856]) ).
fof(f856,plain,
( spl33_64
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
fof(f511,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f854,plain,
spl33_63,
inference(avatar_split_clause,[],[f478,f852]) ).
fof(f852,plain,
( spl33_63
<=> ! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f478,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f181,f219,f218]) ).
fof(f181,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f850,plain,
spl33_62,
inference(avatar_split_clause,[],[f394,f848]) ).
fof(f848,plain,
( spl33_62
<=> ! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f394,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f846,plain,
spl33_61,
inference(avatar_split_clause,[],[f374,f844]) ).
fof(f844,plain,
( spl33_61
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f374,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f842,plain,
spl33_60,
inference(avatar_split_clause,[],[f373,f840]) ).
fof(f840,plain,
( spl33_60
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f373,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f838,plain,
spl33_59,
inference(avatar_split_clause,[],[f348,f836]) ).
fof(f836,plain,
( spl33_59
<=> ! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f348,plain,
! [X2,X0,X1] :
( szDzozmdt0(X0) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f832,plain,
spl33_58,
inference(avatar_split_clause,[],[f330,f830]) ).
fof(f830,plain,
( spl33_58
<=> ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f330,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f813,plain,
( spl33_57
| ~ spl33_18
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f670,f662,f607,f810]) ).
fof(f810,plain,
( spl33_57
<=> sP5(xj) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f670,plain,
( sP5(xj)
| ~ spl33_18
| ~ spl33_30 ),
inference(resolution,[],[f663,f609]) ).
fof(f803,plain,
spl33_56,
inference(avatar_split_clause,[],[f512,f801]) ).
fof(f801,plain,
( spl33_56
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP9(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f512,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP9(X4,X1,X2) ),
inference(equality_resolution,[],[f455]) ).
fof(f455,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f799,plain,
spl33_55,
inference(avatar_split_clause,[],[f440,f797]) ).
fof(f797,plain,
( spl33_55
<=> ! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f440,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( sP7(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f169,f212,f211]) ).
fof(f169,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f795,plain,
spl33_54,
inference(avatar_split_clause,[],[f396,f793]) ).
fof(f793,plain,
( spl33_54
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f396,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f791,plain,
spl33_53,
inference(avatar_split_clause,[],[f395,f789]) ).
fof(f789,plain,
( spl33_53
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f395,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f787,plain,
spl33_52,
inference(avatar_split_clause,[],[f393,f785]) ).
fof(f785,plain,
( spl33_52
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
fof(f393,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f783,plain,
spl33_51,
inference(avatar_split_clause,[],[f392,f781]) ).
fof(f781,plain,
( spl33_51
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
fof(f392,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f779,plain,
spl33_50,
inference(avatar_split_clause,[],[f391,f777]) ).
fof(f777,plain,
( spl33_50
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f391,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f775,plain,
spl33_49,
inference(avatar_split_clause,[],[f390,f773]) ).
fof(f773,plain,
( spl33_49
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f390,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f771,plain,
spl33_48,
inference(avatar_split_clause,[],[f379,f769]) ).
fof(f769,plain,
( spl33_48
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f379,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f767,plain,
( spl33_47
| ~ spl33_17
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f669,f662,f602,f764]) ).
fof(f764,plain,
( spl33_47
<=> sP5(xi) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f669,plain,
( sP5(xi)
| ~ spl33_17
| ~ spl33_30 ),
inference(resolution,[],[f663,f604]) ).
fof(f762,plain,
spl33_46,
inference(avatar_split_clause,[],[f375,f760]) ).
fof(f760,plain,
( spl33_46
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f375,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f756,plain,
spl33_45,
inference(avatar_split_clause,[],[f331,f754]) ).
fof(f754,plain,
( spl33_45
<=> ! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f331,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f732,plain,
( spl33_44
| ~ spl33_16
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f668,f662,f597,f729]) ).
fof(f729,plain,
( spl33_44
<=> sP5(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f668,plain,
( sP5(xk)
| ~ spl33_16
| ~ spl33_30 ),
inference(resolution,[],[f663,f599]) ).
fof(f727,plain,
spl33_43,
inference(avatar_split_clause,[],[f499,f725]) ).
fof(f725,plain,
( spl33_43
<=> ! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f499,plain,
! [X0] :
( sP4(X0,slbdtrb0(X0))
| ~ sP5(X0) ),
inference(equality_resolution,[],[f399]) ).
fof(f399,plain,
! [X0,X1] :
( sP4(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f722,plain,
( ~ spl33_12
| spl33_42 ),
inference(avatar_split_clause,[],[f498,f719,f577]) ).
fof(f577,plain,
( spl33_12
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f719,plain,
( spl33_42
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f498,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f717,plain,
spl33_41,
inference(avatar_split_clause,[],[f471,f715]) ).
fof(f715,plain,
( spl33_41
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f471,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f713,plain,
spl33_40,
inference(avatar_split_clause,[],[f433,f711]) ).
fof(f711,plain,
( spl33_40
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f433,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
fof(f709,plain,
spl33_39,
inference(avatar_split_clause,[],[f414,f707]) ).
fof(f707,plain,
( spl33_39
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f414,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f705,plain,
spl33_38,
inference(avatar_split_clause,[],[f389,f703]) ).
fof(f389,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f701,plain,
spl33_37,
inference(avatar_split_clause,[],[f388,f699]) ).
fof(f388,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f697,plain,
( spl33_36
| ~ spl33_14
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f667,f662,f587,f694]) ).
fof(f694,plain,
( spl33_36
<=> sP5(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f667,plain,
( sP5(xK)
| ~ spl33_14
| ~ spl33_30 ),
inference(resolution,[],[f663,f589]) ).
fof(f692,plain,
spl33_35,
inference(avatar_split_clause,[],[f387,f690]) ).
fof(f387,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(f688,plain,
spl33_34,
inference(avatar_split_clause,[],[f355,f686]) ).
fof(f686,plain,
( spl33_34
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f355,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f684,plain,
spl33_33,
inference(avatar_split_clause,[],[f347,f682]) ).
fof(f682,plain,
( spl33_33
<=> ! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f347,plain,
! [X2,X0,X1] :
( aFunction0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f680,plain,
spl33_32,
inference(avatar_split_clause,[],[f316,f677]) ).
fof(f677,plain,
( spl33_32
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f316,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f675,plain,
spl33_31,
inference(avatar_split_clause,[],[f315,f672]) ).
fof(f672,plain,
( spl33_31
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f315,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f664,plain,
spl33_30,
inference(avatar_split_clause,[],[f408,f662]) ).
fof(f408,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f142,f209,f208]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f660,plain,
spl33_29,
inference(avatar_split_clause,[],[f401,f658]) ).
fof(f658,plain,
( spl33_29
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f401,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f656,plain,
spl33_28,
inference(avatar_split_clause,[],[f370,f654]) ).
fof(f654,plain,
( spl33_28
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f370,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f652,plain,
spl33_27,
inference(avatar_split_clause,[],[f369,f650]) ).
fof(f650,plain,
( spl33_27
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f369,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f648,plain,
spl33_26,
inference(avatar_split_clause,[],[f342,f646]) ).
fof(f646,plain,
( spl33_26
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f342,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f644,plain,
spl33_25,
inference(avatar_split_clause,[],[f319,f641]) ).
fof(f641,plain,
( spl33_25
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f319,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f97]) ).
fof(f639,plain,
( ~ spl33_12
| ~ spl33_24 ),
inference(avatar_split_clause,[],[f500,f636,f577]) ).
fof(f636,plain,
( spl33_24
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f500,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f415]) ).
fof(f415,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f634,plain,
spl33_23,
inference(avatar_split_clause,[],[f339,f631]) ).
fof(f631,plain,
( spl33_23
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f339,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f629,plain,
spl33_22,
inference(avatar_split_clause,[],[f327,f626]) ).
fof(f626,plain,
( spl33_22
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f327,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f624,plain,
spl33_21,
inference(avatar_split_clause,[],[f318,f621]) ).
fof(f621,plain,
( spl33_21
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f318,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f97]) ).
fof(f619,plain,
spl33_20,
inference(avatar_split_clause,[],[f505,f617]) ).
fof(f617,plain,
( spl33_20
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f505,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f428]) ).
fof(f428,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f615,plain,
spl33_19,
inference(avatar_split_clause,[],[f338,f612]) ).
fof(f338,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f610,plain,
spl33_18,
inference(avatar_split_clause,[],[f329,f607]) ).
fof(f329,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f605,plain,
spl33_17,
inference(avatar_split_clause,[],[f328,f602]) ).
fof(f328,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f600,plain,
spl33_16,
inference(avatar_split_clause,[],[f326,f597]) ).
fof(f326,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f595,plain,
spl33_15,
inference(avatar_split_clause,[],[f324,f592]) ).
fof(f592,plain,
( spl33_15
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f324,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f590,plain,
spl33_14,
inference(avatar_split_clause,[],[f313,f587]) ).
fof(f313,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f585,plain,
~ spl33_13,
inference(avatar_split_clause,[],[f311,f582]) ).
fof(f582,plain,
( spl33_13
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f311,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f580,plain,
spl33_12,
inference(avatar_split_clause,[],[f506,f577]) ).
fof(f506,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f575,plain,
spl33_11,
inference(avatar_split_clause,[],[f341,f572]) ).
fof(f572,plain,
( spl33_11
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f341,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f570,plain,
spl33_10,
inference(avatar_split_clause,[],[f340,f567]) ).
fof(f567,plain,
( spl33_10
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f340,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f565,plain,
spl33_9,
inference(avatar_split_clause,[],[f337,f562]) ).
fof(f562,plain,
( spl33_9
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f337,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f560,plain,
spl33_8,
inference(avatar_split_clause,[],[f325,f557]) ).
fof(f557,plain,
( spl33_8
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f325,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f555,plain,
spl33_7,
inference(avatar_split_clause,[],[f323,f552]) ).
fof(f552,plain,
( spl33_7
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f323,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f550,plain,
spl33_6,
inference(avatar_split_clause,[],[f322,f547]) ).
fof(f547,plain,
( spl33_6
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f322,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f545,plain,
spl33_5,
inference(avatar_split_clause,[],[f317,f542]) ).
fof(f542,plain,
( spl33_5
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f317,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f97]) ).
fof(f540,plain,
spl33_4,
inference(avatar_split_clause,[],[f314,f537]) ).
fof(f537,plain,
( spl33_4
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f314,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f535,plain,
~ spl33_3,
inference(avatar_split_clause,[],[f310,f532]) ).
fof(f310,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[],[f85]) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f530,plain,
~ spl33_2,
inference(avatar_split_clause,[],[f309,f527]) ).
fof(f309,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f95]) ).
fof(f525,plain,
~ spl33_1,
inference(avatar_split_clause,[],[f308,f522]) ).
fof(f308,plain,
xi != xj,
inference(cnf_transformation,[],[f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM576+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 20 07:23:07 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (6658)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (6661)WARNING: value z3 for option sas not known
% 0.14/0.31 % (6659)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 % (6660)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (6662)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 % (6664)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)
% 0.14/0.31 % (6665)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)
% 0.14/0.31 % (6663)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)
% 0.14/0.31 % (6661)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 TRYING [3]
% 0.14/0.34 TRYING [3]
% 0.14/0.34 TRYING [1]
% 0.14/0.34 TRYING [2]
% 0.14/0.35 % (6663)First to succeed.
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (6663)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6658"
% 0.14/0.36 % (6663)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (6663)------------------------------
% 0.14/0.37 % (6663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (6663)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (6663)Memory used [KB]: 2093
% 0.14/0.37 % (6663)Time elapsed: 0.056 s
% 0.14/0.37 % (6663)Instructions burned: 115 (million)
% 0.14/0.37 % (6658)Success in time 0.064 s
%------------------------------------------------------------------------------