TSTP Solution File: NUM609+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:35:04 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 160
% Syntax : Number of formulae : 450 ( 148 unt; 0 def)
% Number of atoms : 1861 ( 256 equ)
% Maximal formula atoms : 47 ( 4 avg)
% Number of connectives : 1933 ( 522 ~; 449 |; 733 &)
% ( 139 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 130 ( 128 usr; 92 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 19 con; 0-2 aty)
% Number of variables : 503 ( 431 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1524,plain,
$false,
inference(avatar_sat_refutation,[],[f1075,f1080,f1085,f1090,f1095,f1100,f1105,f1110,f1115,f1120,f1125,f1130,f1135,f1140,f1145,f1150,f1155,f1160,f1165,f1170,f1175,f1180,f1185,f1190,f1195,f1200,f1205,f1210,f1215,f1220,f1225,f1230,f1234,f1239,f1244,f1249,f1254,f1259,f1264,f1269,f1274,f1279,f1284,f1290,f1295,f1299,f1303,f1307,f1311,f1315,f1319,f1324,f1329,f1334,f1338,f1343,f1347,f1352,f1357,f1361,f1365,f1370,f1375,f1387,f1391,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1423,f1427,f1431,f1436,f1448,f1453,f1458,f1462,f1467,f1473,f1478,f1482,f1486,f1490,f1494,f1498,f1502,f1507,f1513,f1523]) ).
fof(f1523,plain,
( spl97_2
| ~ spl97_1
| ~ spl97_80 ),
inference(avatar_split_clause,[],[f1514,f1460,f1072,f1077]) ).
fof(f1077,plain,
( spl97_2
<=> aElementOf0(sK48,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_2])]) ).
fof(f1072,plain,
( spl97_1
<=> aElementOf0(sK48,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_1])]) ).
fof(f1460,plain,
( spl97_80
<=> ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_80])]) ).
fof(f1514,plain,
( aElementOf0(sK48,xQ)
| ~ spl97_1
| ~ spl97_80 ),
inference(resolution,[],[f1461,f1074]) ).
fof(f1074,plain,
( aElementOf0(sK48,xP)
| ~ spl97_1 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1461,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) )
| ~ spl97_80 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1513,plain,
( spl97_91
| ~ spl97_26
| ~ spl97_55 ),
inference(avatar_split_clause,[],[f1378,f1336,f1197,f1510]) ).
fof(f1510,plain,
( spl97_91
<=> sP8(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_91])]) ).
fof(f1197,plain,
( spl97_26
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_26])]) ).
fof(f1336,plain,
( spl97_55
<=> ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_55])]) ).
fof(f1378,plain,
( sP8(xk)
| ~ spl97_26
| ~ spl97_55 ),
inference(resolution,[],[f1337,f1199]) ).
fof(f1199,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl97_26 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1337,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP8(X0) )
| ~ spl97_55 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1507,plain,
spl97_90,
inference(avatar_split_clause,[],[f853,f1504]) ).
fof(f1504,plain,
( spl97_90
<=> aElementOf0(sK77,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_90])]) ).
fof(f853,plain,
aElementOf0(sK77,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f479]) ).
fof(f479,plain,
( xp = sdtlpdtrp0(xe,sK77)
& aElementOf0(sK77,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77])],[f106,f478]) ).
fof(f478,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xp = sdtlpdtrp0(xe,sK77)
& aElementOf0(sK77,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f106,axiom,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f1502,plain,
spl97_89,
inference(avatar_split_clause,[],[f714,f1500]) ).
fof(f1500,plain,
( spl97_89
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_89])]) ).
fof(f714,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f1498,plain,
spl97_88,
inference(avatar_split_clause,[],[f711,f1496]) ).
fof(f1496,plain,
( spl97_88
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_88])]) ).
fof(f711,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) ) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
( aElementOf0(xQ,szDzozmdt0(xc))
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5116) ).
fof(f1494,plain,
spl97_87,
inference(avatar_split_clause,[],[f704,f1492]) ).
fof(f1492,plain,
( spl97_87
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_87])]) ).
fof(f704,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f1490,plain,
spl97_86,
inference(avatar_split_clause,[],[f689,f1488]) ).
fof(f1488,plain,
( spl97_86
<=> ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_86])]) ).
fof(f689,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f1486,plain,
spl97_85,
inference(avatar_split_clause,[],[f684,f1484]) ).
fof(f1484,plain,
( spl97_85
<=> ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_85])]) ).
fof(f684,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f1482,plain,
spl97_84,
inference(avatar_split_clause,[],[f680,f1480]) ).
fof(f1480,plain,
( spl97_84
<=> ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_84])]) ).
fof(f680,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f1478,plain,
( spl97_83
| ~ spl97_39
| ~ spl97_81 ),
inference(avatar_split_clause,[],[f1468,f1464,f1261,f1475]) ).
fof(f1475,plain,
( spl97_83
<=> xP = sdtmndt0(xQ,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_83])]) ).
fof(f1261,plain,
( spl97_39
<=> xp = szmzizndt0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_39])]) ).
fof(f1464,plain,
( spl97_81
<=> xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_81])]) ).
fof(f1468,plain,
( xP = sdtmndt0(xQ,xp)
| ~ spl97_39
| ~ spl97_81 ),
inference(forward_demodulation,[],[f1466,f1263]) ).
fof(f1263,plain,
( xp = szmzizndt0(xQ)
| ~ spl97_39 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1466,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
| ~ spl97_81 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1473,plain,
( spl97_82
| ~ spl97_23
| ~ spl97_55 ),
inference(avatar_split_clause,[],[f1377,f1336,f1182,f1470]) ).
fof(f1470,plain,
( spl97_82
<=> sP8(xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_82])]) ).
fof(f1182,plain,
( spl97_23
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_23])]) ).
fof(f1377,plain,
( sP8(xK)
| ~ spl97_23
| ~ spl97_55 ),
inference(resolution,[],[f1337,f1184]) ).
fof(f1184,plain,
( aElementOf0(xK,szNzAzT0)
| ~ spl97_23 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1467,plain,
spl97_81,
inference(avatar_split_clause,[],[f665,f1464]) ).
fof(f665,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(flattening,[],[f372]) ).
fof(f372,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f1462,plain,
spl97_80,
inference(avatar_split_clause,[],[f662,f1460]) ).
fof(f662,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1458,plain,
spl97_79,
inference(avatar_split_clause,[],[f590,f1455]) ).
fof(f1455,plain,
( spl97_79
<=> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_79])]) ).
fof(f590,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK49(X1)) = X1
& aElementOf0(sK49(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK50(X4),xS)
& aElementOf0(sK50(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f335,f337,f336]) ).
fof(f336,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK49(X1)) = X1
& aElementOf0(sK49(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK50(X4),xS)
& aElementOf0(sK50(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f1453,plain,
spl97_78,
inference(avatar_split_clause,[],[f584,f1450]) ).
fof(f1450,plain,
( spl97_78
<=> szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_78])]) ).
fof(f584,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f338]) ).
fof(f1448,plain,
spl97_77,
inference(avatar_split_clause,[],[f577,f1446]) ).
fof(f1446,plain,
( spl97_77
<=> ! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_77])]) ).
fof(f577,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f338]) ).
fof(f1436,plain,
( spl97_76
| ~ spl97_32
| ~ spl97_55 ),
inference(avatar_split_clause,[],[f1376,f1336,f1227,f1433]) ).
fof(f1433,plain,
( spl97_76
<=> sP8(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_76])]) ).
fof(f1227,plain,
( spl97_32
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_32])]) ).
fof(f1376,plain,
( sP8(sz00)
| ~ spl97_32
| ~ spl97_55 ),
inference(resolution,[],[f1337,f1229]) ).
fof(f1229,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl97_32 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1431,plain,
spl97_75,
inference(avatar_split_clause,[],[f926,f1429]) ).
fof(f1429,plain,
( spl97_75
<=> ! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_75])]) ).
fof(f926,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( sP41(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f207,f320,f319]) ).
fof(f319,plain,
! [X0,X1] :
( sP40(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP40(X0,X1) )
| ~ sP41(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f207,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(f1427,plain,
spl97_74,
inference(avatar_split_clause,[],[f919,f1425]) ).
fof(f1425,plain,
( spl97_74
<=> ! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_74])]) ).
fof(f919,plain,
! [X0,X1] :
( aSet0(X1)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f512]) ).
fof(f512,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK86(X0,X1)),X0)
| ~ aElementOf0(sK86(X0,X1),szNzAzT0)
| ~ aElementOf0(sK86(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK86(X0,X1)),X0)
& aElementOf0(sK86(X0,X1),szNzAzT0) )
| aElementOf0(sK86(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) )
| ~ sP40(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f510,f511]) ).
fof(f511,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(sK86(X0,X1)),X0)
| ~ aElementOf0(sK86(X0,X1),szNzAzT0)
| ~ aElementOf0(sK86(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK86(X0,X1)),X0)
& aElementOf0(sK86(X0,X1),szNzAzT0) )
| aElementOf0(sK86(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f510,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(rectify,[],[f509]) ).
fof(f509,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(flattening,[],[f508]) ).
fof(f508,plain,
! [X0,X1] :
( ( sP40(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) )
| ~ sP40(X0,X1) ) ),
inference(nnf_transformation,[],[f319]) ).
fof(f1423,plain,
spl97_73,
inference(avatar_split_clause,[],[f892,f1421]) ).
fof(f1421,plain,
( spl97_73
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_73])]) ).
fof(f892,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,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(f1419,plain,
spl97_72,
inference(avatar_split_clause,[],[f891,f1417]) ).
fof(f1417,plain,
( spl97_72
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_72])]) ).
fof(f891,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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(f1415,plain,
spl97_71,
inference(avatar_split_clause,[],[f864,f1413]) ).
fof(f1413,plain,
( spl97_71
<=> ! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_71])]) ).
fof(f864,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,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(f1411,plain,
spl97_70,
inference(avatar_split_clause,[],[f823,f1409]) ).
fof(f1409,plain,
( spl97_70
<=> ! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_70])]) ).
fof(f823,plain,
! [X0,X1] :
( sP31(X0)
| ~ sP33(X0,X1) ),
inference(cnf_transformation,[],[f460]) ).
fof(f460,plain,
! [X0,X1] :
( ( sP32(X1,X0,sK72(X0,X1))
& isCountable0(sK72(X0,X1))
& aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1)) )
& aSet0(sK72(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72])],[f458,f459]) ).
fof(f459,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( sP32(X1,X0,sK72(X0,X1))
& isCountable0(sK72(X0,X1))
& aSubsetOf0(sK72(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sK72(X0,X1)) )
& aSet0(sK72(X0,X1))
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f458,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(rectify,[],[f457]) ).
fof(f457,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
inference(nnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( ? [X2] :
( sP32(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X5,X2) )
& aSet0(X2)
& sP31(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP33(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1407,plain,
spl97_69,
inference(avatar_split_clause,[],[f796,f1405]) ).
fof(f1405,plain,
( spl97_69
<=> ! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_69])]) ).
fof(f796,plain,
! [X0,X1] :
( sP27(X0)
| ~ sP28(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0,X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X1) ),
inference(rectify,[],[f436]) ).
fof(f436,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
inference(nnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X5] :
( ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X5) )
& sP27(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP28(X0,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1403,plain,
spl97_68,
inference(avatar_split_clause,[],[f790,f1401]) ).
fof(f1401,plain,
( spl97_68
<=> ! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_68])]) ).
fof(f790,plain,
! [X0,X1] :
( sP25(X0)
| ~ sP29(X0,X1) ),
inference(cnf_transformation,[],[f435]) ).
fof(f435,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
inference(nnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP26(X0,X1)
& sP25(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP29(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1399,plain,
spl97_67,
inference(avatar_split_clause,[],[f738,f1397]) ).
fof(f1397,plain,
( spl97_67
<=> ! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_67])]) ).
fof(f738,plain,
! [X0,X1] :
( sP12(X0)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f393]) ).
fof(f393,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
inference(nnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP13(X1,X0)
& sP12(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP15(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1395,plain,
spl97_66,
inference(avatar_split_clause,[],[f614,f1393]) ).
fof(f1393,plain,
( spl97_66
<=> ! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_66])]) ).
fof(f614,plain,
! [X0,X1] :
( sP1(X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1391,plain,
spl97_65,
inference(avatar_split_clause,[],[f603,f1389]) ).
fof(f1389,plain,
( spl97_65
<=> ! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_65])]) ).
fof(f603,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK51(X0,X1),X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f344,f345]) ).
fof(f345,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK51(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& sP0(X1,X0) )
| ~ sP6(X0) ),
inference(rectify,[],[f343]) ).
fof(f343,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1387,plain,
( spl97_64
| ~ spl97_1
| ~ spl97_57 ),
inference(avatar_split_clause,[],[f1379,f1345,f1072,f1384]) ).
fof(f1384,plain,
( spl97_64
<=> aElement0(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_64])]) ).
fof(f1345,plain,
( spl97_57
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_57])]) ).
fof(f1379,plain,
( aElement0(sK48)
| ~ spl97_1
| ~ spl97_57 ),
inference(resolution,[],[f1346,f1074]) ).
fof(f1346,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0) )
| ~ spl97_57 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1375,plain,
spl97_63,
inference(avatar_split_clause,[],[f1060,f1372]) ).
fof(f1372,plain,
( spl97_63
<=> aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_63])]) ).
fof(f1060,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(forward_demodulation,[],[f703,f636]) ).
fof(f636,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK53(X0,X1),X1) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f138,f363]) ).
fof(f363,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK53(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK53(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f703,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f384]) ).
fof(f384,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ( sdtlpdtrp0(xd,sK56(X1)) = X1
& aElementOf0(sK56(X1),szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f382,f383]) ).
fof(f383,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
=> ( sdtlpdtrp0(xd,sK56(X1)) = X1
& aElementOf0(sK56(X1),szDzozmdt0(xd)) ) ),
introduced(choice_axiom,[]) ).
fof(f382,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xd,X3) = X1
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f381]) ).
fof(f381,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X2] :
( sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( sdtlpdtrp0(xd,X2) = X1
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f1370,plain,
spl97_62,
inference(avatar_split_clause,[],[f854,f1367]) ).
fof(f1367,plain,
( spl97_62
<=> xp = sdtlpdtrp0(xe,sK77) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_62])]) ).
fof(f854,plain,
xp = sdtlpdtrp0(xe,sK77),
inference(cnf_transformation,[],[f479]) ).
fof(f1365,plain,
spl97_61,
inference(avatar_split_clause,[],[f844,f1363]) ).
fof(f1363,plain,
( spl97_61
<=> ! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_61])]) ).
fof(f844,plain,
! [X0] :
( sP34(X0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( sP34(X0)
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(definition_folding,[],[f163,f309]) ).
fof(f309,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f163,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f1361,plain,
spl97_60,
inference(avatar_split_clause,[],[f724,f1359]) ).
fof(f1359,plain,
( spl97_60
<=> ! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_60])]) ).
fof(f724,plain,
! [X0] :
( sP11(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& sP11(X0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f152,f280]) ).
fof(f280,plain,
! [X0] :
( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f152,plain,
! [X0] :
( ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4182) ).
fof(f1357,plain,
spl97_59,
inference(avatar_split_clause,[],[f687,f1354]) ).
fof(f1354,plain,
( spl97_59
<=> aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_59])]) ).
fof(f687,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f143]) ).
fof(f1352,plain,
spl97_58,
inference(avatar_split_clause,[],[f669,f1349]) ).
fof(f1349,plain,
( spl97_58
<=> aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_58])]) ).
fof(f669,plain,
aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f378]) ).
fof(f378,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ( sdtlpdtrp0(xe,sK55(X0)) = X0
& aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f376,f377]) ).
fof(f377,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( sdtlpdtrp0(xe,sK55(X0)) = X0
& aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f376,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X3] :
( ( aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X3)
| ~ aElementOf0(X3,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X3)
& aElementOf0(X3,szDzozmdt0(xd)) )
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f375]) ).
fof(f375,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(flattening,[],[f374]) ).
fof(f374,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,xO)
| ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(X0,xO) ) )
& ! [X2] :
( ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) != sdtlpdtrp0(xd,X2)
| ~ aElementOf0(X2,szDzozmdt0(xd)) )
& ( ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) )
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,xO)
<=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f1347,plain,
spl97_57,
inference(avatar_split_clause,[],[f661,f1345]) ).
fof(f661,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1343,plain,
spl97_56,
inference(avatar_split_clause,[],[f655,f1340]) ).
fof(f1340,plain,
( spl97_56
<=> xS = sdtlpdtrp0(xN,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_56])]) ).
fof(f655,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f371]) ).
fof(f371,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK54(X0),szNzAzT0)
& aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f279,f370]) ).
fof(f370,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK54(X0),szNzAzT0)
& aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f140,f278,f277]) ).
fof(f277,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f278,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f140,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f1338,plain,
spl97_55,
inference(avatar_split_clause,[],[f634,f1336]) ).
fof(f634,plain,
! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(definition_folding,[],[f136,f275,f274,f273,f272,f271,f270,f269,f268,f267]) ).
fof(f267,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f268,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f269,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f270,plain,
! [X0,X1] :
( ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f272,plain,
! [X0] :
( ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f275,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f136,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( aElementOf0(X6,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( ( xk = sbrdtbr0(X7)
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
=> aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f1334,plain,
spl97_54,
inference(avatar_split_clause,[],[f585,f1331]) ).
fof(f1331,plain,
( spl97_54
<=> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_54])]) ).
fof(f585,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f338]) ).
fof(f1329,plain,
( ~ spl97_20
| ~ spl97_53 ),
inference(avatar_split_clause,[],[f1037,f1326,f1167]) ).
fof(f1167,plain,
( spl97_20
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_20])]) ).
fof(f1326,plain,
( spl97_53
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_53])]) ).
fof(f1037,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f933]) ).
fof(f933,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,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(f1324,plain,
spl97_52,
inference(avatar_split_clause,[],[f857,f1321]) ).
fof(f1321,plain,
( spl97_52
<=> slcrc0 = slbdtrb0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_52])]) ).
fof(f857,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f1319,plain,
spl97_51,
inference(avatar_split_clause,[],[f759,f1317]) ).
fof(f1317,plain,
( spl97_51
<=> ! [X0] :
( sP20(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_51])]) ).
fof(f759,plain,
! [X0] :
( sP20(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& sP20(X0)
& sP19(X0)
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP23(X0) ),
inference(rectify,[],[f408]) ).
fof(f408,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
inference(nnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP20(X3)
& sP19(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP23(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1315,plain,
spl97_50,
inference(avatar_split_clause,[],[f758,f1313]) ).
fof(f1313,plain,
( spl97_50
<=> ! [X0] :
( sP19(X0)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_50])]) ).
fof(f758,plain,
! [X0] :
( sP19(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f409]) ).
fof(f1311,plain,
spl97_49,
inference(avatar_split_clause,[],[f644,f1309]) ).
fof(f1309,plain,
( spl97_49
<=> ! [X0] :
( sP9(X0)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_49])]) ).
fof(f644,plain,
! [X0] :
( sP9(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f366,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f278]) ).
fof(f1307,plain,
spl97_48,
inference(avatar_split_clause,[],[f598,f1305]) ).
fof(f1305,plain,
( spl97_48
<=> ! [X0] :
( sP7(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_48])]) ).
fof(f598,plain,
! [X0] :
( sP7(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f275]) ).
fof(f1303,plain,
spl97_47,
inference(avatar_split_clause,[],[f596,f1301]) ).
fof(f1301,plain,
( spl97_47
<=> ! [X0] :
( sP6(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_47])]) ).
fof(f596,plain,
! [X0] :
( sP6(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1299,plain,
spl97_46,
inference(avatar_split_clause,[],[f595,f1297]) ).
fof(f1297,plain,
( spl97_46
<=> ! [X0] :
( sP5(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_46])]) ).
fof(f595,plain,
! [X0] :
( sP5(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1295,plain,
spl97_45,
inference(avatar_split_clause,[],[f1067,f1292]) ).
fof(f1292,plain,
( spl97_45
<=> aSet0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_45])]) ).
fof(f1067,plain,
aSet0(sdtlcdtrc0(xd,szNzAzT0)),
inference(forward_demodulation,[],[f698,f636]) ).
fof(f698,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f384]) ).
fof(f1290,plain,
( ~ spl97_44
| ~ spl97_39
| spl97_43 ),
inference(avatar_split_clause,[],[f1285,f1281,f1261,f1287]) ).
fof(f1287,plain,
( spl97_44
<=> aElementOf0(xp,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_44])]) ).
fof(f1281,plain,
( spl97_43
<=> aElementOf0(szmzizndt0(xQ),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_43])]) ).
fof(f1285,plain,
( ~ aElementOf0(xp,xP)
| ~ spl97_39
| spl97_43 ),
inference(forward_demodulation,[],[f1283,f1263]) ).
fof(f1283,plain,
( ~ aElementOf0(szmzizndt0(xQ),xP)
| spl97_43 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1284,plain,
~ spl97_43,
inference(avatar_split_clause,[],[f1016,f1281]) ).
fof(f1016,plain,
~ aElementOf0(szmzizndt0(xQ),xP),
inference(equality_resolution,[],[f663]) ).
fof(f663,plain,
! [X0] :
( szmzizndt0(xQ) != X0
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1279,plain,
spl97_42,
inference(avatar_split_clause,[],[f713,f1276]) ).
fof(f1276,plain,
( spl97_42
<=> aElementOf0(xQ,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_42])]) ).
fof(f713,plain,
aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf_transformation,[],[f149]) ).
fof(f1274,plain,
spl97_41,
inference(avatar_split_clause,[],[f693,f1271]) ).
fof(f1271,plain,
( spl97_41
<=> aElementOf0(szDzizrdt0(xd),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_41])]) ).
fof(f693,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f380]) ).
fof(f380,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f379]) ).
fof(f379,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f1269,plain,
spl97_40,
inference(avatar_split_clause,[],[f692,f1266]) ).
fof(f1266,plain,
( spl97_40
<=> xK = szszuzczcdt0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_40])]) ).
fof(f692,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(f1264,plain,
spl97_39,
inference(avatar_split_clause,[],[f690,f1261]) ).
fof(f690,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f144]) ).
fof(f1259,plain,
spl97_38,
inference(avatar_split_clause,[],[f686,f1256]) ).
fof(f1256,plain,
( spl97_38
<=> xK = sbrdtbr0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_38])]) ).
fof(f686,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f143]) ).
fof(f1254,plain,
spl97_37,
inference(avatar_split_clause,[],[f654,f1251]) ).
fof(f1251,plain,
( spl97_37
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_37])]) ).
fof(f654,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f371]) ).
fof(f1249,plain,
spl97_36,
inference(avatar_split_clause,[],[f636,f1246]) ).
fof(f1246,plain,
( spl97_36
<=> szNzAzT0 = szDzozmdt0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_36])]) ).
fof(f1244,plain,
spl97_35,
inference(avatar_split_clause,[],[f633,f1241]) ).
fof(f1241,plain,
( spl97_35
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_35])]) ).
fof(f633,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f276]) ).
fof(f1239,plain,
spl97_34,
inference(avatar_split_clause,[],[f572,f1236]) ).
fof(f1236,plain,
( spl97_34
<=> szNzAzT0 = szDzozmdt0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_34])]) ).
fof(f572,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ! [X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f1234,plain,
spl97_33,
inference(avatar_split_clause,[],[f1042,f1232]) ).
fof(f1232,plain,
( spl97_33
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_33])]) ).
fof(f1042,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f946]) ).
fof(f946,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK90(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f527,f528]) ).
fof(f528,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK90(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f527,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f526]) ).
fof(f526,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f525]) ).
fof(f525,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,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(f1230,plain,
spl97_32,
inference(avatar_split_clause,[],[f856,f1227]) ).
fof(f856,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f1225,plain,
spl97_31,
inference(avatar_split_clause,[],[f715,f1222]) ).
fof(f1222,plain,
( spl97_31
<=> aSubsetOf0(xQ,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_31])]) ).
fof(f715,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f150]) ).
fof(f1220,plain,
spl97_30,
inference(avatar_split_clause,[],[f712,f1217]) ).
fof(f1217,plain,
( spl97_30
<=> aSubsetOf0(xQ,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_30])]) ).
fof(f712,plain,
aSubsetOf0(xQ,xS),
inference(cnf_transformation,[],[f149]) ).
fof(f1215,plain,
~ spl97_29,
inference(avatar_split_clause,[],[f708,f1212]) ).
fof(f1212,plain,
( spl97_29
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl97_29])]) ).
fof(f708,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f386]) ).
fof(f386,plain,
( slcrc0 != xQ
& aElementOf0(sK57,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f148,f385]) ).
fof(f385,plain,
( ? [X0] : aElementOf0(X0,xQ)
=> aElementOf0(sK57,xQ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f1210,plain,
spl97_28,
inference(avatar_split_clause,[],[f707,f1207]) ).
fof(f1207,plain,
( spl97_28
<=> aElementOf0(sK57,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_28])]) ).
fof(f707,plain,
aElementOf0(sK57,xQ),
inference(cnf_transformation,[],[f386]) ).
fof(f1205,plain,
spl97_27,
inference(avatar_split_clause,[],[f705,f1202]) ).
fof(f1202,plain,
( spl97_27
<=> aSubsetOf0(xO,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_27])]) ).
fof(f705,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f146]) ).
fof(f1200,plain,
spl97_26,
inference(avatar_split_clause,[],[f691,f1197]) ).
fof(f691,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f1195,plain,
spl97_25,
inference(avatar_split_clause,[],[f685,f1192]) ).
fof(f1192,plain,
( spl97_25
<=> aSubsetOf0(xQ,xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_25])]) ).
fof(f685,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f143]) ).
fof(f1190,plain,
spl97_24,
inference(avatar_split_clause,[],[f681,f1187]) ).
fof(f1187,plain,
( spl97_24
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_24])]) ).
fof(f681,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f142]) ).
fof(f1185,plain,
spl97_23,
inference(avatar_split_clause,[],[f570,f1182]) ).
fof(f570,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f1180,plain,
spl97_22,
inference(avatar_split_clause,[],[f569,f1177]) ).
fof(f1177,plain,
( spl97_22
<=> aElementOf0(xp,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_22])]) ).
fof(f569,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
fof(f1175,plain,
~ spl97_21,
inference(avatar_split_clause,[],[f567,f1172]) ).
fof(f1172,plain,
( spl97_21
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl97_21])]) ).
fof(f567,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f1170,plain,
spl97_20,
inference(avatar_split_clause,[],[f1043,f1167]) ).
fof(f1043,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f945]) ).
fof(f945,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f529]) ).
fof(f1165,plain,
spl97_19,
inference(avatar_split_clause,[],[f859,f1162]) ).
fof(f1162,plain,
( spl97_19
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_19])]) ).
fof(f859,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1160,plain,
spl97_18,
inference(avatar_split_clause,[],[f858,f1157]) ).
fof(f1157,plain,
( spl97_18
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_18])]) ).
fof(f858,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f1155,plain,
spl97_17,
inference(avatar_split_clause,[],[f855,f1152]) ).
fof(f1152,plain,
( spl97_17
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_17])]) ).
fof(f855,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f1150,plain,
spl97_16,
inference(avatar_split_clause,[],[f683,f1147]) ).
fof(f1147,plain,
( spl97_16
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_16])]) ).
fof(f683,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f143]) ).
fof(f1145,plain,
spl97_15,
inference(avatar_split_clause,[],[f682,f1142]) ).
fof(f1142,plain,
( spl97_15
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_15])]) ).
fof(f682,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f142]) ).
fof(f1140,plain,
spl97_14,
inference(avatar_split_clause,[],[f679,f1137]) ).
fof(f1137,plain,
( spl97_14
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_14])]) ).
fof(f679,plain,
aSet0(xS),
inference(cnf_transformation,[],[f142]) ).
fof(f1135,plain,
spl97_13,
inference(avatar_split_clause,[],[f678,f1132]) ).
fof(f1132,plain,
( spl97_13
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_13])]) ).
fof(f678,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f1130,plain,
spl97_12,
inference(avatar_split_clause,[],[f677,f1127]) ).
fof(f1127,plain,
( spl97_12
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_12])]) ).
fof(f677,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f1125,plain,
spl97_11,
inference(avatar_split_clause,[],[f667,f1122]) ).
fof(f1122,plain,
( spl97_11
<=> isCountable0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_11])]) ).
fof(f667,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f1120,plain,
spl97_10,
inference(avatar_split_clause,[],[f666,f1117]) ).
fof(f1117,plain,
( spl97_10
<=> aSet0(xO) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_10])]) ).
fof(f666,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f1115,plain,
spl97_9,
inference(avatar_split_clause,[],[f659,f1112]) ).
fof(f1112,plain,
( spl97_9
<=> aSet0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_9])]) ).
fof(f659,plain,
aSet0(xP),
inference(cnf_transformation,[],[f373]) ).
fof(f1110,plain,
spl97_8,
inference(avatar_split_clause,[],[f653,f1107]) ).
fof(f1107,plain,
( spl97_8
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_8])]) ).
fof(f653,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f371]) ).
fof(f1105,plain,
spl97_7,
inference(avatar_split_clause,[],[f635,f1102]) ).
fof(f1102,plain,
( spl97_7
<=> aFunction0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_7])]) ).
fof(f635,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f364]) ).
fof(f1100,plain,
spl97_6,
inference(avatar_split_clause,[],[f632,f1097]) ).
fof(f1097,plain,
( spl97_6
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_6])]) ).
fof(f632,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f276]) ).
fof(f1095,plain,
spl97_5,
inference(avatar_split_clause,[],[f576,f1092]) ).
fof(f1092,plain,
( spl97_5
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_5])]) ).
fof(f576,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f338]) ).
fof(f1090,plain,
spl97_4,
inference(avatar_split_clause,[],[f571,f1087]) ).
fof(f1087,plain,
( spl97_4
<=> aFunction0(xe) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_4])]) ).
fof(f571,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f132]) ).
fof(f1085,plain,
~ spl97_3,
inference(avatar_split_clause,[],[f566,f1082]) ).
fof(f1082,plain,
( spl97_3
<=> aSubsetOf0(xP,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_3])]) ).
fof(f566,plain,
~ aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sK48,xQ)
& aElementOf0(sK48,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f131,f332]) ).
fof(f332,plain,
( ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK48,xQ)
& aElementOf0(sK48,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1080,plain,
~ spl97_2,
inference(avatar_split_clause,[],[f565,f1077]) ).
fof(f565,plain,
~ aElementOf0(sK48,xQ),
inference(cnf_transformation,[],[f333]) ).
fof(f1075,plain,
spl97_1,
inference(avatar_split_clause,[],[f564,f1072]) ).
fof(f564,plain,
aElementOf0(sK48,xP),
inference(cnf_transformation,[],[f333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 00:09:46 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (23710)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23713)WARNING: value z3 for option sas not known
% 0.15/0.38 % (23715)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)
% 0.15/0.39 % (23713)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)
% 0.15/0.39 % (23717)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)
% 0.15/0.39 % (23716)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)
% 0.15/0.39 % (23714)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (23712)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (23711)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (23715)First to succeed.
% 0.20/0.41 % (23716)Also succeeded, but the first one will report.
% 0.20/0.41 % (23713)Also succeeded, but the first one will report.
% 0.20/0.41 % (23715)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (23715)------------------------------
% 0.20/0.41 % (23715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41 % (23715)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (23715)Memory used [KB]: 1738
% 0.20/0.41 % (23715)Time elapsed: 0.027 s
% 0.20/0.41 % (23715)Instructions burned: 58 (million)
% 0.20/0.41 % (23715)------------------------------
% 0.20/0.41 % (23715)------------------------------
% 0.20/0.41 % (23710)Success in time 0.047 s
%------------------------------------------------------------------------------