TSTP Solution File: NUM539+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM539+2 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:37:27 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 162
% Syntax : Number of formulae : 1204 ( 125 unt; 0 def)
% Number of atoms : 3803 ( 527 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 4498 (1899 ~;2091 |; 282 &)
% ( 140 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 116 ( 114 usr; 106 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 802 ( 755 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2940,plain,
$false,
inference(avatar_sat_refutation,[],[f386,f405,f407,f412,f414,f416,f418,f420,f422,f424,f426,f457,f476,f485,f494,f503,f520,f523,f534,f543,f552,f696,f700,f764,f767,f849,f855,f871,f875,f891,f895,f899,f920,f927,f960,f1000,f1004,f1028,f1033,f1043,f1047,f1057,f1069,f1071,f1096,f1105,f1128,f1137,f1141,f1160,f1163,f1165,f1169,f1200,f1243,f1247,f1270,f1274,f1338,f1342,f1400,f1410,f1414,f1451,f1455,f1522,f1527,f1655,f1660,f1669,f1674,f1683,f1693,f1713,f1718,f1727,f1756,f1833,f1838,f1890,f1894,f1898,f1903,f1930,f1937,f1939,f1941,f1943,f1945,f2156,f2161,f2181,f2185,f2197,f2201,f2211,f2215,f2227,f2232,f2269,f2549,f2553,f2683,f2688,f2697,f2745,f2833,f2859,f2863,f2878,f2917,f2921,f2937]) ).
fof(f2937,plain,
~ spl13_101,
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2935,f201]) ).
fof(f201,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( aElementOf0(szmzizndt0(xT),xS)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xT),X0)
| ~ aElementOf0(X0,xT) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
( aElementOf0(szmzizndt0(xT),xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xT),X0) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
( aElementOf0(szmzizndt0(xT),xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xT),X0) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1802) ).
fof(f2935,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2934,f299]) ).
fof(f299,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(resolution,[],[f187,f181]) ).
fof(f181,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( szmzizndt0(xS) != szmzizndt0(xT)
& ~ sdtlseqdt0(szmzizndt0(xS),sK2)
& aElementOf0(sK2,xT)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f134,f135]) ).
fof(f135,plain,
( ? [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),X0)
& aElementOf0(X0,xT) )
=> ( ~ sdtlseqdt0(szmzizndt0(xS),sK2)
& aElementOf0(sK2,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( szmzizndt0(xS) != szmzizndt0(xT)
& ? [X0] :
( ~ sdtlseqdt0(szmzizndt0(xS),X0)
& aElementOf0(X0,xT) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
( szmzizndt0(xS) != szmzizndt0(xT)
& ? [X1] :
( ~ sdtlseqdt0(szmzizndt0(xS),X1)
& aElementOf0(X1,xT) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
( szmzizndt0(xS) != szmzizndt0(xT)
& ? [X1] :
( ~ sdtlseqdt0(szmzizndt0(xS),X1)
& aElementOf0(X1,xT) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) ) ),
inference(rectify,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) ) ) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f187,plain,
! [X3] :
( ~ aElementOf0(X3,xS)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( slcrc0 != xT
& aElementOf0(sK3,xT)
& slcrc0 != xS
& aElementOf0(sK4,xS)
& aSubsetOf0(xT,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,xT) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,xS) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f66,f138,f137]) ).
fof(f137,plain,
( ? [X0] : aElementOf0(X0,xT)
=> aElementOf0(sK3,xT) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X1] : aElementOf0(X1,xS)
=> aElementOf0(sK4,xS) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( slcrc0 != xT
& ? [X0] : aElementOf0(X0,xT)
& slcrc0 != xS
& ? [X1] : aElementOf0(X1,xS)
& aSubsetOf0(xT,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,xT) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,xS) )
& aSet0(xS) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( slcrc0 != xT
& ? [X0] : aElementOf0(X0,xT)
& slcrc0 != xS
& ? [X1] : aElementOf0(X1,xS)
& aSubsetOf0(xT,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,xT) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
( ~ ( slcrc0 = xT
| ~ ? [X0] : aElementOf0(X0,xT) )
& ~ ( slcrc0 = xS
| ~ ? [X1] : aElementOf0(X1,xS) )
& aSubsetOf0(xT,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,xT)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,xS)
=> aElementOf0(X3,szNzAzT0) )
& aSet0(xS) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
( ~ ( slcrc0 = xT
| ~ ? [X0] : aElementOf0(X0,xT) )
& ~ ( slcrc0 = xS
| ~ ? [X0] : aElementOf0(X0,xS) )
& aSubsetOf0(xT,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1779) ).
fof(f2934,plain,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2926,f184]) ).
fof(f184,plain,
~ sdtlseqdt0(szmzizndt0(xS),sK2),
inference(cnf_transformation,[],[f136]) ).
fof(f2926,plain,
( sdtlseqdt0(szmzizndt0(xS),sK2)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ~ spl13_101 ),
inference(resolution,[],[f2867,f182]) ).
fof(f182,plain,
! [X1] :
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
inference(cnf_transformation,[],[f136]) ).
fof(f2867,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,szmzizndt0(xT))
| sdtlseqdt0(X0,sK2)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2866,f300]) ).
fof(f300,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(resolution,[],[f187,f201]) ).
fof(f2866,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK2)
| ~ sdtlseqdt0(X0,szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2864,f304]) ).
fof(f304,plain,
aElementOf0(sK2,szNzAzT0),
inference(resolution,[],[f190,f183]) ).
fof(f183,plain,
aElementOf0(sK2,xT),
inference(cnf_transformation,[],[f136]) ).
fof(f190,plain,
! [X2] :
( ~ aElementOf0(X2,xT)
| aElementOf0(X2,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f2864,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK2)
| ~ sdtlseqdt0(X0,szmzizndt0(xT))
| ~ aElementOf0(sK2,szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_101 ),
inference(resolution,[],[f2832,f280]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f2832,plain,
( sdtlseqdt0(szmzizndt0(xT),sK2)
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2830,plain,
( spl13_101
<=> sdtlseqdt0(szmzizndt0(xT),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f2921,plain,
( ~ spl13_3
| spl13_104 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| ~ spl13_3
| spl13_104 ),
inference(subsumption_resolution,[],[f2919,f204]) ).
fof(f204,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f2919,plain,
( ~ aSet0(szNzAzT0)
| ~ spl13_3
| spl13_104 ),
inference(subsumption_resolution,[],[f2918,f452]) ).
fof(f452,plain,
( aElement0(sK6(sK2))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl13_3
<=> aElement0(sK6(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f2918,plain,
( ~ aElement0(sK6(sK2))
| ~ aSet0(szNzAzT0)
| spl13_104 ),
inference(resolution,[],[f2912,f291]) ).
fof(f291,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP0(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f111,f130]) ).
fof(f130,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f2912,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sK6(sK2)))
| spl13_104 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f2910,plain,
( spl13_104
<=> aSet0(sdtmndt0(szNzAzT0,sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f2917,plain,
( ~ spl13_104
| ~ spl13_105
| ~ spl13_3
| ~ spl13_82 ),
inference(avatar_split_clause,[],[f2307,f2149,f450,f2914,f2910]) ).
fof(f2914,plain,
( spl13_105
<=> isFinite0(sdtmndt0(szNzAzT0,sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f2149,plain,
( spl13_82
<=> aElementOf0(sK6(sK2),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f2307,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ spl13_3
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2306,f452]) ).
fof(f2306,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ aElement0(sK6(sK2))
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2302,f307]) ).
fof(f307,plain,
~ isFinite0(szNzAzT0),
inference(subsumption_resolution,[],[f306,f204]) ).
fof(f306,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f233,f205]) ).
fof(f205,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f233,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f2302,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK6(sK2)))
| ~ aElement0(sK6(sK2))
| ~ spl13_82 ),
inference(superposition,[],[f208,f2172]) ).
fof(f2172,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(sK2)),sK6(sK2))
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2169,f204]) ).
fof(f2169,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(sK2)),sK6(sK2))
| ~ aSet0(szNzAzT0)
| ~ spl13_82 ),
inference(resolution,[],[f2150,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f2150,plain,
( aElementOf0(sK6(sK2),szNzAzT0)
| ~ spl13_82 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f208,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f2878,plain,
( ~ spl13_102
| spl13_103
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f2869,f2830,f2875,f2871]) ).
fof(f2871,plain,
( spl13_102
<=> sdtlseqdt0(sK2,szmzizndt0(xT)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f2875,plain,
( spl13_103
<=> szmzizndt0(xT) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f2869,plain,
( szmzizndt0(xT) = sK2
| ~ sdtlseqdt0(sK2,szmzizndt0(xT))
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2868,f304]) ).
fof(f2868,plain,
( szmzizndt0(xT) = sK2
| ~ sdtlseqdt0(sK2,szmzizndt0(xT))
| ~ aElementOf0(sK2,szNzAzT0)
| ~ spl13_101 ),
inference(subsumption_resolution,[],[f2865,f300]) ).
fof(f2865,plain,
( szmzizndt0(xT) = sK2
| ~ sdtlseqdt0(sK2,szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(sK2,szNzAzT0)
| ~ spl13_101 ),
inference(resolution,[],[f2832,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f2863,plain,
spl13_101,
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2862,plain,
( $false
| spl13_101 ),
inference(subsumption_resolution,[],[f2861,f191]) ).
fof(f191,plain,
aSubsetOf0(xT,szNzAzT0),
inference(cnf_transformation,[],[f139]) ).
fof(f2861,plain,
( ~ aSubsetOf0(xT,szNzAzT0)
| spl13_101 ),
inference(subsumption_resolution,[],[f2860,f195]) ).
fof(f195,plain,
slcrc0 != xT,
inference(cnf_transformation,[],[f139]) ).
fof(f2860,plain,
( slcrc0 = xT
| ~ aSubsetOf0(xT,szNzAzT0)
| spl13_101 ),
inference(subsumption_resolution,[],[f2857,f183]) ).
fof(f2857,plain,
( ~ aElementOf0(sK2,xT)
| slcrc0 = xT
| ~ aSubsetOf0(xT,szNzAzT0)
| spl13_101 ),
inference(resolution,[],[f2831,f285]) ).
fof(f285,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f242]) ).
fof(f242,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK8(X0,X1))
& aElementOf0(sK8(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f156,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK8(X0,X1))
& aElementOf0(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f2831,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sK2)
| spl13_101 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2859,plain,
spl13_101,
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2858,plain,
( $false
| spl13_101 ),
inference(subsumption_resolution,[],[f2856,f183]) ).
fof(f2856,plain,
( ~ aElementOf0(sK2,xT)
| spl13_101 ),
inference(resolution,[],[f2831,f200]) ).
fof(f200,plain,
! [X0] :
( sdtlseqdt0(szmzizndt0(xT),X0)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2833,plain,
( ~ spl13_100
| spl13_101
| spl13_4
| ~ spl13_82 ),
inference(avatar_split_clause,[],[f2812,f2149,f454,f2830,f2826]) ).
fof(f2826,plain,
( spl13_100
<=> aElementOf0(sK6(sK2),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f454,plain,
( spl13_4
<=> sz00 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f2812,plain,
( sdtlseqdt0(szmzizndt0(xT),sK2)
| ~ aElementOf0(sK6(sK2),xT)
| spl13_4
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2804,f300]) ).
fof(f2804,plain,
( sdtlseqdt0(szmzizndt0(xT),sK2)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(sK6(sK2),xT)
| spl13_4
| ~ spl13_82 ),
inference(resolution,[],[f2737,f200]) ).
fof(f2737,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK6(sK2))
| sdtlseqdt0(X0,sK2)
| ~ aElementOf0(X0,szNzAzT0) )
| spl13_4
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2736,f2150]) ).
fof(f2736,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK2)
| ~ sdtlseqdt0(X0,sK6(sK2))
| ~ aElementOf0(sK6(sK2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| spl13_4
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2713,f304]) ).
fof(f2713,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK2)
| ~ sdtlseqdt0(X0,sK6(sK2))
| ~ aElementOf0(sK2,szNzAzT0)
| ~ aElementOf0(sK6(sK2),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| spl13_4
| ~ spl13_82 ),
inference(resolution,[],[f280,f2256]) ).
fof(f2256,plain,
( sdtlseqdt0(sK6(sK2),sK2)
| spl13_4
| ~ spl13_82 ),
inference(subsumption_resolution,[],[f2134,f2150]) ).
fof(f2134,plain,
( sdtlseqdt0(sK6(sK2),sK2)
| ~ aElementOf0(sK6(sK2),szNzAzT0)
| spl13_4 ),
inference(superposition,[],[f228,f2130]) ).
fof(f2130,plain,
( sK2 = szszuzczcdt0(sK6(sK2))
| spl13_4 ),
inference(subsumption_resolution,[],[f575,f455]) ).
fof(f455,plain,
( sz00 != sK2
| spl13_4 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f575,plain,
( sz00 = sK2
| sK2 = szszuzczcdt0(sK6(sK2)) ),
inference(resolution,[],[f232,f304]) ).
fof(f232,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK6(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( szszuzczcdt0(sK6(X0)) = X0
& aElementOf0(sK6(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f94,f147]) ).
fof(f147,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK6(X0)) = X0
& aElementOf0(sK6(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f228,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f2745,plain,
( ~ spl13_3
| spl13_99 ),
inference(avatar_contradiction_clause,[],[f2744]) ).
fof(f2744,plain,
( $false
| ~ spl13_3
| spl13_99 ),
inference(subsumption_resolution,[],[f2743,f288]) ).
fof(f288,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f245]) ).
fof(f245,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK9(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f161,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,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(f2743,plain,
( ~ aSet0(slcrc0)
| ~ spl13_3
| spl13_99 ),
inference(subsumption_resolution,[],[f2742,f452]) ).
fof(f2742,plain,
( ~ aElement0(sK6(sK2))
| ~ aSet0(slcrc0)
| spl13_99 ),
inference(resolution,[],[f2696,f294]) ).
fof(f294,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP1(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f113,f132]) ).
fof(f132,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f2696,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sK2)))
| spl13_99 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2694,plain,
( spl13_99
<=> aSet0(sdtpldt0(slcrc0,sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f2697,plain,
( ~ spl13_98
| ~ spl13_99
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f2295,f450,f2694,f2690]) ).
fof(f2690,plain,
( spl13_98
<=> isCountable0(sdtpldt0(slcrc0,sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f2295,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f2294,f452]) ).
fof(f2294,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ aElement0(sK6(sK2))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f2288,f202]) ).
fof(f202,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f2288,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ aElement0(sK6(sK2))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sK2)))
| ~ spl13_3 ),
inference(superposition,[],[f430,f1947]) ).
fof(f1947,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK6(sK2)),sK6(sK2))
| ~ spl13_3 ),
inference(resolution,[],[f452,f1301]) ).
fof(f1301,plain,
! [X0] :
( ~ aElement0(X0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0) ),
inference(subsumption_resolution,[],[f1278,f288]) ).
fof(f1278,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,X0),X0)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(resolution,[],[f248,f287]) ).
fof(f287,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f163]) ).
fof(f248,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(f430,plain,
! [X0,X1] :
( ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f429,f291]) ).
fof(f429,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[],[f207,f233]) ).
fof(f207,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f2688,plain,
spl13_97,
inference(avatar_contradiction_clause,[],[f2687]) ).
fof(f2687,plain,
( $false
| spl13_97 ),
inference(subsumption_resolution,[],[f2686,f288]) ).
fof(f2686,plain,
( ~ aSet0(slcrc0)
| spl13_97 ),
inference(subsumption_resolution,[],[f2685,f346]) ).
fof(f346,plain,
aElement0(szszuzczcdt0(sK2)),
inference(resolution,[],[f341,f304]) ).
fof(f341,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f340,f204]) ).
fof(f340,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f229,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f229,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f2685,plain,
( ~ aElement0(szszuzczcdt0(sK2))
| ~ aSet0(slcrc0)
| spl13_97 ),
inference(resolution,[],[f2682,f294]) ).
fof(f2682,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sK2)))
| spl13_97 ),
inference(avatar_component_clause,[],[f2680]) ).
fof(f2680,plain,
( spl13_97
<=> aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f2683,plain,
( ~ spl13_96
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f2284,f2680,f2676]) ).
fof(f2676,plain,
( spl13_96
<=> isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f2284,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sK2)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sK2))) ),
inference(subsumption_resolution,[],[f2283,f346]) ).
fof(f2283,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sK2)))
| ~ aElement0(szszuzczcdt0(sK2))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sK2))) ),
inference(subsumption_resolution,[],[f2277,f202]) ).
fof(f2277,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sK2)))
| ~ aElement0(szszuzczcdt0(sK2))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sK2))) ),
inference(superposition,[],[f430,f1464]) ).
fof(f1464,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK2)),szszuzczcdt0(sK2)),
inference(resolution,[],[f1301,f346]) ).
fof(f2553,plain,
spl13_94,
inference(avatar_contradiction_clause,[],[f2552]) ).
fof(f2552,plain,
( $false
| spl13_94 ),
inference(subsumption_resolution,[],[f2551,f189]) ).
fof(f189,plain,
aSet0(xT),
inference(cnf_transformation,[],[f139]) ).
fof(f2551,plain,
( ~ aSet0(xT)
| spl13_94 ),
inference(subsumption_resolution,[],[f2550,f310]) ).
fof(f310,plain,
aElement0(sz00),
inference(subsumption_resolution,[],[f309,f288]) ).
fof(f309,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f210,f308]) ).
fof(f308,plain,
sz00 = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f281,f288]) ).
fof(f281,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f210,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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(f2550,plain,
( ~ aElement0(sz00)
| ~ aSet0(xT)
| spl13_94 ),
inference(resolution,[],[f2544,f294]) ).
fof(f2544,plain,
( ~ aSet0(sdtpldt0(xT,sz00))
| spl13_94 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2542,plain,
( spl13_94
<=> aSet0(sdtpldt0(xT,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f2549,plain,
( ~ spl13_94
| ~ spl13_95
| spl13_33
| spl13_81 ),
inference(avatar_split_clause,[],[f2538,f1887,f917,f2546,f2542]) ).
fof(f2546,plain,
( spl13_95
<=> isFinite0(sdtpldt0(xT,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f917,plain,
( spl13_33
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f1887,plain,
( spl13_81
<=> sdtlseqdt0(szmzizndt0(xT),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f2538,plain,
( ~ isFinite0(sdtpldt0(xT,sz00))
| ~ aSet0(sdtpldt0(xT,sz00))
| spl13_33
| spl13_81 ),
inference(subsumption_resolution,[],[f2537,f310]) ).
fof(f2537,plain,
( ~ isFinite0(sdtpldt0(xT,sz00))
| ~ aSet0(sdtpldt0(xT,sz00))
| ~ aElement0(sz00)
| spl13_33
| spl13_81 ),
inference(subsumption_resolution,[],[f2533,f919]) ).
fof(f919,plain,
( ~ isFinite0(xT)
| spl13_33 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f2533,plain,
( isFinite0(xT)
| ~ isFinite0(sdtpldt0(xT,sz00))
| ~ aSet0(sdtpldt0(xT,sz00))
| ~ aElement0(sz00)
| spl13_81 ),
inference(superposition,[],[f209,f1950]) ).
fof(f1950,plain,
( xT = sdtmndt0(sdtpldt0(xT,sz00),sz00)
| spl13_81 ),
inference(subsumption_resolution,[],[f1949,f310]) ).
fof(f1949,plain,
( xT = sdtmndt0(sdtpldt0(xT,sz00),sz00)
| ~ aElement0(sz00)
| spl13_81 ),
inference(subsumption_resolution,[],[f1948,f189]) ).
fof(f1948,plain,
( xT = sdtmndt0(sdtpldt0(xT,sz00),sz00)
| ~ aSet0(xT)
| ~ aElement0(sz00)
| spl13_81 ),
inference(resolution,[],[f1891,f248]) ).
fof(f1891,plain,
( ~ aElementOf0(sz00,xT)
| spl13_81 ),
inference(resolution,[],[f1889,f200]) ).
fof(f1889,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| spl13_81 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f209,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f2269,plain,
( spl13_92
| spl13_93
| ~ spl13_82 ),
inference(avatar_split_clause,[],[f2166,f2149,f2266,f2262]) ).
fof(f2262,plain,
( spl13_92
<=> aElement0(sK6(sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f2266,plain,
( spl13_93
<=> sz00 = sK6(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f2166,plain,
( sz00 = sK6(sK2)
| aElement0(sK6(sK6(sK2)))
| ~ spl13_82 ),
inference(resolution,[],[f2150,f433]) ).
fof(f433,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElement0(sK6(X0)) ),
inference(subsumption_resolution,[],[f432,f204]) ).
fof(f432,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK6(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f231,f216]) ).
fof(f231,plain,
! [X0] :
( aElementOf0(sK6(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f2232,plain,
spl13_91,
inference(avatar_contradiction_clause,[],[f2231]) ).
fof(f2231,plain,
( $false
| spl13_91 ),
inference(subsumption_resolution,[],[f2230,f288]) ).
fof(f2230,plain,
( ~ aSet0(slcrc0)
| spl13_91 ),
inference(subsumption_resolution,[],[f2229,f330]) ).
fof(f330,plain,
aElement0(sK2),
inference(subsumption_resolution,[],[f318,f189]) ).
fof(f318,plain,
( aElement0(sK2)
| ~ aSet0(xT) ),
inference(resolution,[],[f216,f183]) ).
fof(f2229,plain,
( ~ aElement0(sK2)
| ~ aSet0(slcrc0)
| spl13_91 ),
inference(resolution,[],[f2226,f294]) ).
fof(f2226,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK2))
| spl13_91 ),
inference(avatar_component_clause,[],[f2224]) ).
fof(f2224,plain,
( spl13_91
<=> aSet0(sdtpldt0(slcrc0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f2227,plain,
( ~ spl13_90
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f2100,f2224,f2220]) ).
fof(f2220,plain,
( spl13_90
<=> isCountable0(sdtpldt0(slcrc0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f2100,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK2))
| ~ isCountable0(sdtpldt0(slcrc0,sK2)) ),
inference(subsumption_resolution,[],[f2099,f330]) ).
fof(f2099,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK2))
| ~ aElement0(sK2)
| ~ isCountable0(sdtpldt0(slcrc0,sK2)) ),
inference(subsumption_resolution,[],[f2093,f202]) ).
fof(f2093,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK2))
| ~ aElement0(sK2)
| ~ isCountable0(sdtpldt0(slcrc0,sK2)) ),
inference(superposition,[],[f430,f1476]) ).
fof(f1476,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK2),sK2),
inference(resolution,[],[f1301,f330]) ).
fof(f2215,plain,
spl13_88,
inference(avatar_contradiction_clause,[],[f2214]) ).
fof(f2214,plain,
( $false
| spl13_88 ),
inference(subsumption_resolution,[],[f2213,f186]) ).
fof(f186,plain,
aSet0(xS),
inference(cnf_transformation,[],[f139]) ).
fof(f2213,plain,
( ~ aSet0(xS)
| spl13_88 ),
inference(subsumption_resolution,[],[f2212,f330]) ).
fof(f2212,plain,
( ~ aElement0(sK2)
| ~ aSet0(xS)
| spl13_88 ),
inference(resolution,[],[f2206,f294]) ).
fof(f2206,plain,
( ~ aSet0(sdtpldt0(xS,sK2))
| spl13_88 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2204,plain,
( spl13_88
<=> aSet0(sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f2211,plain,
( ~ spl13_88
| ~ spl13_89
| spl13_35 ),
inference(avatar_split_clause,[],[f2090,f957,f2208,f2204]) ).
fof(f2208,plain,
( spl13_89
<=> isFinite0(sdtpldt0(xS,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f957,plain,
( spl13_35
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f2090,plain,
( ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aSet0(sdtpldt0(xS,sK2))
| spl13_35 ),
inference(subsumption_resolution,[],[f2089,f330]) ).
fof(f2089,plain,
( ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aSet0(sdtpldt0(xS,sK2))
| ~ aElement0(sK2)
| spl13_35 ),
inference(subsumption_resolution,[],[f2085,f959]) ).
fof(f959,plain,
( ~ isFinite0(xS)
| spl13_35 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f2085,plain,
( isFinite0(xS)
| ~ isFinite0(sdtpldt0(xS,sK2))
| ~ aSet0(sdtpldt0(xS,sK2))
| ~ aElement0(sK2) ),
inference(superposition,[],[f209,f1316]) ).
fof(f1316,plain,
xS = sdtmndt0(sdtpldt0(xS,sK2),sK2),
inference(subsumption_resolution,[],[f1315,f330]) ).
fof(f1315,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK2),sK2)
| ~ aElement0(sK2) ),
inference(subsumption_resolution,[],[f1292,f186]) ).
fof(f1292,plain,
( xS = sdtmndt0(sdtpldt0(xS,sK2),sK2)
| ~ aSet0(xS)
| ~ aElement0(sK2) ),
inference(resolution,[],[f248,f298]) ).
fof(f298,plain,
~ aElementOf0(sK2,xS),
inference(resolution,[],[f182,f184]) ).
fof(f2201,plain,
spl13_86,
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2200,plain,
( $false
| spl13_86 ),
inference(subsumption_resolution,[],[f2199,f204]) ).
fof(f2199,plain,
( ~ aSet0(szNzAzT0)
| spl13_86 ),
inference(subsumption_resolution,[],[f2198,f330]) ).
fof(f2198,plain,
( ~ aElement0(sK2)
| ~ aSet0(szNzAzT0)
| spl13_86 ),
inference(resolution,[],[f2192,f291]) ).
fof(f2192,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sK2))
| spl13_86 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2190,plain,
( spl13_86
<=> aSet0(sdtmndt0(szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f2197,plain,
( ~ spl13_86
| ~ spl13_87 ),
inference(avatar_split_clause,[],[f2071,f2194,f2190]) ).
fof(f2194,plain,
( spl13_87
<=> isFinite0(sdtmndt0(szNzAzT0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f2071,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK2))
| ~ aSet0(sdtmndt0(szNzAzT0,sK2)) ),
inference(subsumption_resolution,[],[f2070,f330]) ).
fof(f2070,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK2))
| ~ aSet0(sdtmndt0(szNzAzT0,sK2))
| ~ aElement0(sK2) ),
inference(subsumption_resolution,[],[f2066,f307]) ).
fof(f2066,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK2))
| ~ aSet0(sdtmndt0(szNzAzT0,sK2))
| ~ aElement0(sK2) ),
inference(superposition,[],[f208,f640]) ).
fof(f640,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK2),sK2),
inference(subsumption_resolution,[],[f617,f204]) ).
fof(f617,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK2),sK2)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f304]) ).
fof(f2185,plain,
spl13_84,
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2184,plain,
( $false
| spl13_84 ),
inference(subsumption_resolution,[],[f2183,f189]) ).
fof(f2183,plain,
( ~ aSet0(xT)
| spl13_84 ),
inference(subsumption_resolution,[],[f2182,f330]) ).
fof(f2182,plain,
( ~ aElement0(sK2)
| ~ aSet0(xT)
| spl13_84 ),
inference(resolution,[],[f2176,f291]) ).
fof(f2176,plain,
( ~ aSet0(sdtmndt0(xT,sK2))
| spl13_84 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl13_84
<=> aSet0(sdtmndt0(xT,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f2181,plain,
( ~ spl13_84
| ~ spl13_85
| spl13_33 ),
inference(avatar_split_clause,[],[f2060,f917,f2178,f2174]) ).
fof(f2178,plain,
( spl13_85
<=> isFinite0(sdtmndt0(xT,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f2060,plain,
( ~ isFinite0(sdtmndt0(xT,sK2))
| ~ aSet0(sdtmndt0(xT,sK2))
| spl13_33 ),
inference(subsumption_resolution,[],[f2059,f330]) ).
fof(f2059,plain,
( ~ isFinite0(sdtmndt0(xT,sK2))
| ~ aSet0(sdtmndt0(xT,sK2))
| ~ aElement0(sK2)
| spl13_33 ),
inference(subsumption_resolution,[],[f2055,f919]) ).
fof(f2055,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,sK2))
| ~ aSet0(sdtmndt0(xT,sK2))
| ~ aElement0(sK2) ),
inference(superposition,[],[f208,f638]) ).
fof(f638,plain,
xT = sdtpldt0(sdtmndt0(xT,sK2),sK2),
inference(subsumption_resolution,[],[f616,f189]) ).
fof(f616,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK2),sK2)
| ~ aSet0(xT) ),
inference(resolution,[],[f217,f183]) ).
fof(f2161,plain,
( spl13_4
| spl13_82 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2160,plain,
( $false
| spl13_4
| spl13_82 ),
inference(subsumption_resolution,[],[f2159,f304]) ).
fof(f2159,plain,
( ~ aElementOf0(sK2,szNzAzT0)
| spl13_4
| spl13_82 ),
inference(subsumption_resolution,[],[f2157,f455]) ).
fof(f2157,plain,
( sz00 = sK2
| ~ aElementOf0(sK2,szNzAzT0)
| spl13_82 ),
inference(resolution,[],[f2151,f231]) ).
fof(f2151,plain,
( ~ aElementOf0(sK6(sK2),szNzAzT0)
| spl13_82 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f2156,plain,
( ~ spl13_82
| ~ spl13_83
| spl13_4 ),
inference(avatar_split_clause,[],[f2133,f454,f2153,f2149]) ).
fof(f2153,plain,
( spl13_83
<=> sdtlseqdt0(sK2,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f2133,plain,
( ~ sdtlseqdt0(sK2,sz00)
| ~ aElementOf0(sK6(sK2),szNzAzT0)
| spl13_4 ),
inference(superposition,[],[f227,f2130]) ).
fof(f227,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f1945,plain,
( spl13_4
| ~ spl13_6
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1944,plain,
( $false
| spl13_4
| ~ spl13_6
| spl13_81 ),
inference(global_subsumption,[],[f455,f197,f196,f281,f282,f235,f240,f239,f283,f244,f243,f256,f255,f254,f267,f296,f266,f265,f271,f273,f272,f276,f279,f280,f186,f189,f202,f204,f205,f288,f183,f188,f191,f192,f193,f194,f195,f203,f287,f181,f184,f185,f198,f199,f201,f297,f210,f211,f182,f298,f187,f301,f299,f300,f190,f304,f305,f224,f225,f233,f307,f308,f310,f200,f216,f325,f326,f328,f329,f331,f333,f335,f330,f332,f334,f220,f324,f327,f226,f227,f228,f229,f341,f346,f347,f348,f342,f344,f345,f230,f289,f343,f214,f215,f291,f294,f351,f212,f236,f247,f369,f374,f371,f377,f372,f249,f375,f367,f366,f260,f292,f206,f207,f208,f209,f231,f433,f436,f442,f439,f440,f250,f441,f437,f446,f438,f286,f504,f443,f444,f290,f553,f554,f555,f293,f557,f558,f428,f430,f431,f221,f232,f582,f571,f578,f217,f627,f630,f631,f615,f646,f626,f218,f701,f632,f712,f713,f714,f715,f634,f722,f642,f731,f732,f733,f734,f644,f741,f742,f743,f744,f704,f755,f222,f780,f779,f782,f783,f784,f785,f786,f781,f643,f829,f645,f838,f223,f262,f901,f284,f941,f942,f951,f261,f989,f724,f831,f840,f576,f475,f1029,f1082,f1083,f274,f1080,f572,f285,f633,f1230,f295,f635,f1257,f248,f1300,f1302,f1305,f1306,f1307,f1308,f1309,f1313,f1295,f275,f277,f636,f1438,f1301,f1458,f1459,f1460,f1462,f1498,f1466,f1467,f1469,f1470,f1472,f1483,f1493,f1495,f1496,f278,f1473,f1560,f1562,f1478,f1604,f1606,f219,f1646,f1645,f1626,f1644,f1643,f1642,f1559,f252,f1687,f1603,f253,f1728,f1729,f1746,f1461,f1767,f1768,f1770,f259,f1731,f1786,f637,f1793,f1795,f647,f1802,f1804,f648,f1811,f1813,f1474,f1821,f1822,f1824,f264,f1850,f1851,f1868,f1853,f1877,f270,f1864,f1862,f1860,f1859,f1858,f1742,f1740,f1738,f1737,f1736,f1457,f1501,f1476,f1464,f1316,f1064,f1063,f1058,f628,f640,f638,f575,f573,f1891,f1889]) ).
fof(f573,plain,
( sz00 = szmzizndt0(xT)
| szmzizndt0(xT) = szszuzczcdt0(sK6(szmzizndt0(xT))) ),
inference(resolution,[],[f232,f300]) ).
fof(f628,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00),
inference(subsumption_resolution,[],[f605,f204]) ).
fof(f605,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f203]) ).
fof(f1058,plain,
( aElementOf0(sz00,xT)
| ~ spl13_6 ),
inference(superposition,[],[f194,f475]) ).
fof(f1063,plain,
( xT = sdtpldt0(sdtmndt0(xT,sz00),sz00)
| ~ spl13_6 ),
inference(superposition,[],[f642,f475]) ).
fof(f1064,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ spl13_6 ),
inference(superposition,[],[f643,f475]) ).
fof(f1501,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00)
| ~ spl13_6 ),
inference(forward_demodulation,[],[f1477,f475]) ).
fof(f1477,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK3),sK3),
inference(resolution,[],[f1301,f332]) ).
fof(f1457,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00),
inference(resolution,[],[f1301,f310]) ).
fof(f1736,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,szNzAzT0))
| sP0(X0,X1,szNzAzT0)
| sz00 = sK10(X0,X1,szNzAzT0)
| sK10(X0,X1,szNzAzT0) = szszuzczcdt0(sK6(sK10(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f253,f232]) ).
fof(f1737,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,szNzAzT0))
| sP0(X0,X1,szNzAzT0)
| sz00 = sK10(X0,X1,szNzAzT0)
| aElement0(sK6(sK10(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f253,f433]) ).
fof(f1738,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,szNzAzT0))
| sP0(X0,X1,szNzAzT0)
| aElement0(szszuzczcdt0(sK10(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f253,f341]) ).
fof(f1740,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,xS))
| sP0(X0,X1,xS)
| aElementOf0(sK10(X0,X1,xS),szNzAzT0) ),
inference(resolution,[],[f253,f187]) ).
fof(f1742,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,xT))
| sP0(X0,X1,xT)
| aElementOf0(sK10(X0,X1,xT),szNzAzT0) ),
inference(resolution,[],[f253,f190]) ).
fof(f1858,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,szNzAzT0))
| sP1(X0,X1,szNzAzT0)
| sz00 = sK11(X0,X1,szNzAzT0)
| sK11(X0,X1,szNzAzT0) = szszuzczcdt0(sK6(sK11(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f264,f232]) ).
fof(f1859,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,szNzAzT0))
| sP1(X0,X1,szNzAzT0)
| sz00 = sK11(X0,X1,szNzAzT0)
| aElement0(sK6(sK11(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f264,f433]) ).
fof(f1860,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,szNzAzT0))
| sP1(X0,X1,szNzAzT0)
| aElement0(szszuzczcdt0(sK11(X0,X1,szNzAzT0))) ),
inference(resolution,[],[f264,f341]) ).
fof(f1862,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,xS))
| sP1(X0,X1,xS)
| aElementOf0(sK11(X0,X1,xS),szNzAzT0) ),
inference(resolution,[],[f264,f187]) ).
fof(f1864,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,xT))
| sP1(X0,X1,xT)
| aElementOf0(sK11(X0,X1,xT),szNzAzT0) ),
inference(resolution,[],[f264,f190]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ sP1(X1,X0,X2)
| sdtpldt0(X0,X1) = X2
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1877,plain,
! [X0,X1] :
( sP1(X0,X1,slcrc0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK11(X0,X1,slcrc0)),sK11(X0,X1,slcrc0)) ),
inference(resolution,[],[f1853,f1301]) ).
fof(f1853,plain,
! [X0,X1] :
( aElement0(sK11(X0,X1,slcrc0))
| sP1(X0,X1,slcrc0) ),
inference(resolution,[],[f264,f287]) ).
fof(f1868,plain,
! [X2,X0,X1] :
( aElement0(sK11(X0,X1,X2))
| sP1(X0,X1,X2)
| ~ aSet0(X2) ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
! [X2,X0,X1] :
( aElement0(sK11(X0,X1,X2))
| sP1(X0,X1,X2)
| aElement0(sK11(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f264,f216]) ).
fof(f1851,plain,
! [X2,X0,X1] :
( aElement0(sK11(X0,X1,X2))
| sP1(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK11(X0,X1,X2)),sK11(X0,X1,X2)) = X2
| ~ aSet0(X2) ),
inference(resolution,[],[f264,f217]) ).
fof(f1850,plain,
! [X2,X0,X1] :
( aElement0(sK11(X0,X1,X2))
| sP1(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK11(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(resolution,[],[f264,f219]) ).
fof(f264,plain,
! [X2,X0,X1] :
( aElementOf0(sK11(X0,X1,X2),X2)
| aElement0(sK11(X0,X1,X2))
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ( sK11(X0,X1,X2) != X0
& ~ aElementOf0(sK11(X0,X1,X2),X1) )
| ~ aElement0(sK11(X0,X1,X2))
| ~ aElementOf0(sK11(X0,X1,X2),X2) )
& ( ( ( sK11(X0,X1,X2) = X0
| aElementOf0(sK11(X0,X1,X2),X1) )
& aElement0(sK11(X0,X1,X2)) )
| aElementOf0(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK11(X0,X1,X2) != X0
& ~ aElementOf0(sK11(X0,X1,X2),X1) )
| ~ aElement0(sK11(X0,X1,X2))
| ~ aElementOf0(sK11(X0,X1,X2),X2) )
& ( ( ( sK11(X0,X1,X2) = X0
| aElementOf0(sK11(X0,X1,X2),X1) )
& aElement0(sK11(X0,X1,X2)) )
| aElementOf0(sK11(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f1824,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1823,f327]) ).
fof(f1823,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(subsumption_resolution,[],[f1818,f297]) ).
fof(f1818,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(superposition,[],[f207,f1474]) ).
fof(f1822,plain,
( sP0(szmzizndt0(xT),sdtpldt0(slcrc0,szmzizndt0(xT)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1816,f327]) ).
fof(f1816,plain,
( sP0(szmzizndt0(xT),sdtpldt0(slcrc0,szmzizndt0(xT)),slcrc0)
| ~ aElement0(szmzizndt0(xT))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(superposition,[],[f290,f1474]) ).
fof(f1821,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1820,f327]) ).
fof(f1820,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1814,f202]) ).
fof(f1814,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xT))) ),
inference(superposition,[],[f430,f1474]) ).
fof(f1474,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szmzizndt0(xT)),szmzizndt0(xT)),
inference(resolution,[],[f1301,f327]) ).
fof(f1813,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xT))) ),
inference(subsumption_resolution,[],[f1812,f377]) ).
fof(f1812,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xT)))
| ~ aElement0(sK9(xT)) ),
inference(subsumption_resolution,[],[f1808,f307]) ).
fof(f1808,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xT)))
| ~ aElement0(sK9(xT)) ),
inference(superposition,[],[f208,f648]) ).
fof(f1811,plain,
( sP1(sK9(xT),sdtmndt0(szNzAzT0,sK9(xT)),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xT))) ),
inference(subsumption_resolution,[],[f1807,f377]) ).
fof(f1807,plain,
( sP1(sK9(xT),sdtmndt0(szNzAzT0,sK9(xT)),szNzAzT0)
| ~ aElement0(sK9(xT))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xT))) ),
inference(superposition,[],[f293,f648]) ).
fof(f648,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK9(xT)),sK9(xT)),
inference(subsumption_resolution,[],[f625,f204]) ).
fof(f625,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK9(xT)),sK9(xT))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f371]) ).
fof(f1804,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xS))) ),
inference(subsumption_resolution,[],[f1803,f374]) ).
fof(f1803,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xS)))
| ~ aElement0(sK9(xS)) ),
inference(subsumption_resolution,[],[f1799,f307]) ).
fof(f1799,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK9(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xS)))
| ~ aElement0(sK9(xS)) ),
inference(superposition,[],[f208,f647]) ).
fof(f1802,plain,
( sP1(sK9(xS),sdtmndt0(szNzAzT0,sK9(xS)),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xS))) ),
inference(subsumption_resolution,[],[f1798,f374]) ).
fof(f1798,plain,
( sP1(sK9(xS),sdtmndt0(szNzAzT0,sK9(xS)),szNzAzT0)
| ~ aElement0(sK9(xS))
| ~ aSet0(sdtmndt0(szNzAzT0,sK9(xS))) ),
inference(superposition,[],[f293,f647]) ).
fof(f647,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK9(xS)),sK9(xS)),
inference(subsumption_resolution,[],[f624,f204]) ).
fof(f624,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK9(xS)),sK9(xS))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f369]) ).
fof(f1795,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1794,f327]) ).
fof(f1794,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(subsumption_resolution,[],[f1790,f307]) ).
fof(f1790,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(superposition,[],[f208,f637]) ).
fof(f1793,plain,
( sP1(szmzizndt0(xT),sdtmndt0(szNzAzT0,szmzizndt0(xT)),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1789,f327]) ).
fof(f1789,plain,
( sP1(szmzizndt0(xT),sdtmndt0(szNzAzT0,szmzizndt0(xT)),szNzAzT0)
| ~ aElement0(szmzizndt0(xT))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xT))) ),
inference(superposition,[],[f293,f637]) ).
fof(f637,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(xT)),szmzizndt0(xT)),
inference(subsumption_resolution,[],[f614,f204]) ).
fof(f614,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(xT)),szmzizndt0(xT))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f300]) ).
fof(f1786,plain,
! [X0,X1] :
( sP0(X0,X1,slcrc0)
| slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK10(X0,X1,slcrc0)),sK10(X0,X1,slcrc0)) ),
inference(resolution,[],[f1731,f1301]) ).
fof(f1731,plain,
! [X0,X1] :
( aElement0(sK10(X0,X1,slcrc0))
| sP0(X0,X1,slcrc0) ),
inference(resolution,[],[f253,f287]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1770,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(subsumption_resolution,[],[f1769,f344]) ).
fof(f1769,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aElement0(szszuzczcdt0(szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1764,f297]) ).
fof(f1764,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aElement0(szszuzczcdt0(szmzizndt0(xS))) ),
inference(superposition,[],[f207,f1461]) ).
fof(f1768,plain,
( sP0(szszuzczcdt0(szmzizndt0(xS)),sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(subsumption_resolution,[],[f1762,f344]) ).
fof(f1762,plain,
( sP0(szszuzczcdt0(szmzizndt0(xS)),sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))),slcrc0)
| ~ aElement0(szszuzczcdt0(szmzizndt0(xS)))
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(superposition,[],[f290,f1461]) ).
fof(f1767,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(subsumption_resolution,[],[f1766,f344]) ).
fof(f1766,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aElement0(szszuzczcdt0(szmzizndt0(xS)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(subsumption_resolution,[],[f1760,f202]) ).
fof(f1760,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))))
| ~ aElement0(szszuzczcdt0(szmzizndt0(xS)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS)))) ),
inference(superposition,[],[f430,f1461]) ).
fof(f1461,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xS))),szszuzczcdt0(szmzizndt0(xS))),
inference(resolution,[],[f1301,f344]) ).
fof(f1746,plain,
! [X2,X0,X1] :
( aElement0(sK10(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ aSet0(X2) ),
inference(duplicate_literal_removal,[],[f1730]) ).
fof(f1730,plain,
! [X2,X0,X1] :
( aElement0(sK10(X0,X1,X2))
| sP0(X0,X1,X2)
| aElement0(sK10(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f253,f216]) ).
fof(f1729,plain,
! [X2,X0,X1] :
( aElement0(sK10(X0,X1,X2))
| sP0(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK10(X0,X1,X2)),sK10(X0,X1,X2)) = X2
| ~ aSet0(X2) ),
inference(resolution,[],[f253,f217]) ).
fof(f1728,plain,
! [X2,X0,X1] :
( aElement0(sK10(X0,X1,X2))
| sP0(X0,X1,X2)
| sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X2,sK10(X0,X1,X2))))
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(resolution,[],[f253,f219]) ).
fof(f253,plain,
! [X2,X0,X1] :
( aElementOf0(sK10(X0,X1,X2),X2)
| aElement0(sK10(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( sK10(X0,X1,X2) = X0
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aElement0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( sK10(X0,X1,X2) != X0
& aElementOf0(sK10(X0,X1,X2),X1)
& aElement0(sK10(X0,X1,X2)) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK10(X0,X1,X2) = X0
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aElement0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( sK10(X0,X1,X2) != X0
& aElementOf0(sK10(X0,X1,X2),X1)
& aElement0(sK10(X0,X1,X2)) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f1603,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK4))
| ~ isCountable0(sdtpldt0(slcrc0,sK4)) ),
inference(subsumption_resolution,[],[f1602,f334]) ).
fof(f1602,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK4))
| ~ aElement0(sK4)
| ~ isCountable0(sdtpldt0(slcrc0,sK4)) ),
inference(subsumption_resolution,[],[f1596,f202]) ).
fof(f1596,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK4))
| ~ aElement0(sK4)
| ~ isCountable0(sdtpldt0(slcrc0,sK4)) ),
inference(superposition,[],[f430,f1478]) ).
fof(f1687,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ),
inference(subsumption_resolution,[],[f1684,f216]) ).
fof(f1684,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ),
inference(resolution,[],[f252,f290]) ).
fof(f252,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1559,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1558,f324]) ).
fof(f1558,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1552,f202]) ).
fof(f1552,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(superposition,[],[f430,f1473]) ).
fof(f1642,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK9(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f1638]) ).
fof(f1638,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK9(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f219,f247]) ).
fof(f1643,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK5(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ),
inference(duplicate_literal_removal,[],[f1634]) ).
fof(f1634,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,sK5(X1,X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(resolution,[],[f219,f222]) ).
fof(f1644,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1627]) ).
fof(f1627,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzazxdt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f219,f284]) ).
fof(f1626,plain,
! [X0] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,szmzizndt0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f219,f286]) ).
fof(f1645,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f1615]) ).
fof(f1615,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f219,f248]) ).
fof(f1646,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtpldt0(X0,X1),X1)))
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f1611,f294]) ).
fof(f1611,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(sdtpldt0(X0,X1),X1)))
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f219,f558]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f1606,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK4))
| ~ aSet0(sdtpldt0(slcrc0,sK4)) ),
inference(subsumption_resolution,[],[f1605,f334]) ).
fof(f1605,plain,
( ~ isCountable0(sdtpldt0(slcrc0,sK4))
| ~ aSet0(sdtpldt0(slcrc0,sK4))
| ~ aElement0(sK4) ),
inference(subsumption_resolution,[],[f1600,f297]) ).
fof(f1600,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,sK4))
| ~ aSet0(sdtpldt0(slcrc0,sK4))
| ~ aElement0(sK4) ),
inference(superposition,[],[f207,f1478]) ).
fof(f1604,plain,
( sP0(sK4,sdtpldt0(slcrc0,sK4),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK4)) ),
inference(subsumption_resolution,[],[f1598,f334]) ).
fof(f1598,plain,
( sP0(sK4,sdtpldt0(slcrc0,sK4),slcrc0)
| ~ aElement0(sK4)
| ~ aSet0(sdtpldt0(slcrc0,sK4)) ),
inference(superposition,[],[f290,f1478]) ).
fof(f1478,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK4),sK4),
inference(resolution,[],[f1301,f334]) ).
fof(f1562,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1561,f324]) ).
fof(f1561,plain,
( ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(subsumption_resolution,[],[f1556,f297]) ).
fof(f1556,plain,
( isCountable0(slcrc0)
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(superposition,[],[f207,f1473]) ).
fof(f1560,plain,
( sP0(szmzizndt0(xS),sdtpldt0(slcrc0,szmzizndt0(xS)),slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1554,f324]) ).
fof(f1554,plain,
( sP0(szmzizndt0(xS),sdtpldt0(slcrc0,szmzizndt0(xS)),slcrc0)
| ~ aElement0(szmzizndt0(xS))
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
inference(superposition,[],[f290,f1473]) ).
fof(f1473,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szmzizndt0(xS)),szmzizndt0(xS)),
inference(resolution,[],[f1301,f324]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f1496,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK9(xT)),sK9(xT)),
inference(resolution,[],[f1301,f377]) ).
fof(f1495,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK9(xS)),sK9(xS)),
inference(resolution,[],[f1301,f374]) ).
fof(f1493,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK9(X0)),sK9(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(resolution,[],[f1301,f366]) ).
fof(f1483,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK6(szszuzczcdt0(X0))),sK6(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1301,f446]) ).
fof(f1472,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f1301,f210]) ).
fof(f1470,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK9(xT))),szszuzczcdt0(sK9(xT))),
inference(resolution,[],[f1301,f375]) ).
fof(f1469,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK9(xS))),szszuzczcdt0(sK9(xS))),
inference(resolution,[],[f1301,f372]) ).
fof(f1467,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK6(X0))),szszuzczcdt0(sK6(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f1301,f431]) ).
fof(f1466,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK4)),szszuzczcdt0(sK4)),
inference(resolution,[],[f1301,f348]) ).
fof(f1498,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ spl13_6 ),
inference(forward_demodulation,[],[f1465,f475]) ).
fof(f1465,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sK3)),szszuzczcdt0(sK3)),
inference(resolution,[],[f1301,f347]) ).
fof(f1462,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(szmzizndt0(xT))),szszuzczcdt0(szmzizndt0(xT))),
inference(resolution,[],[f1301,f345]) ).
fof(f1460,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sbrdtbr0(X0))),szszuzczcdt0(sbrdtbr0(X0)))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f1301,f351]) ).
fof(f1459,plain,
! [X0] :
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(szszuzczcdt0(X0))),szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1301,f343]) ).
fof(f1458,plain,
slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00)),
inference(resolution,[],[f1301,f342]) ).
fof(f1438,plain,
( sP1(szmzizndt0(xT),sdtmndt0(xS,szmzizndt0(xT)),xS)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1434,f327]) ).
fof(f1434,plain,
( sP1(szmzizndt0(xT),sdtmndt0(xS,szmzizndt0(xT)),xS)
| ~ aElement0(szmzizndt0(xT))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xT))) ),
inference(superposition,[],[f293,f636]) ).
fof(f636,plain,
xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xT)),szmzizndt0(xT)),
inference(subsumption_resolution,[],[f613,f186]) ).
fof(f613,plain,
( xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xT)),szmzizndt0(xT))
| ~ aSet0(xS) ),
inference(resolution,[],[f217,f201]) ).
fof(f277,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f275,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f1295,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK5(X0,X1)),sK5(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1) ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1293,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,sK5(X0,X1)),sK5(X0,X1)) = X0
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,X1))
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(resolution,[],[f248,f223]) ).
fof(f1313,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1312,f210]) ).
fof(f1312,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1290,f204]) ).
fof(f1290,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sbrdtbr0(X0))
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f248,f214]) ).
fof(f1309,plain,
! [X0] :
( xT = sdtmndt0(sdtpldt0(xT,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1288,f189]) ).
fof(f1288,plain,
! [X0] :
( xT = sdtmndt0(sdtpldt0(xT,X0),X0)
| ~ aSet0(xT)
| ~ aElement0(X0)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f248,f190]) ).
fof(f1308,plain,
! [X0] :
( xS = sdtmndt0(sdtpldt0(xS,X0),X0)
| ~ aElement0(X0)
| aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1286,f186]) ).
fof(f1286,plain,
! [X0] :
( xS = sdtmndt0(sdtpldt0(xS,X0),X0)
| ~ aSet0(xS)
| ~ aElement0(X0)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f248,f187]) ).
fof(f1307,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f1285,f204]) ).
fof(f1285,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| aElement0(szszuzczcdt0(X0)) ),
inference(resolution,[],[f248,f341]) ).
fof(f1306,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sz00 = X0
| aElement0(sK6(X0)) ),
inference(subsumption_resolution,[],[f1284,f204]) ).
fof(f1284,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| aElement0(sK6(X0)) ),
inference(resolution,[],[f248,f433]) ).
fof(f1305,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK6(X0)) = X0 ),
inference(subsumption_resolution,[],[f1283,f204]) ).
fof(f1283,plain,
! [X0] :
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,X0),X0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X0)
| sz00 = X0
| szszuzczcdt0(sK6(X0)) = X0 ),
inference(resolution,[],[f248,f232]) ).
fof(f1302,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1298,f291]) ).
fof(f1298,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f1279]) ).
fof(f1279,plain,
! [X0,X1] :
( sdtmndt0(X0,X1) = sdtmndt0(sdtpldt0(sdtmndt0(X0,X1),X1),X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f248,f555]) ).
fof(f1300,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ),
inference(duplicate_literal_removal,[],[f1276]) ).
fof(f1276,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X0,X1),X1) = X0
| ~ aSet0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f248,f217]) ).
fof(f1257,plain,
( sP1(szmzizndt0(xT),sdtmndt0(xT,szmzizndt0(xT)),xT)
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xT))) ),
inference(subsumption_resolution,[],[f1253,f327]) ).
fof(f1253,plain,
( sP1(szmzizndt0(xT),sdtmndt0(xT,szmzizndt0(xT)),xT)
| ~ aElement0(szmzizndt0(xT))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xT))) ),
inference(superposition,[],[f293,f635]) ).
fof(f635,plain,
xT = sdtpldt0(sdtmndt0(xT,szmzizndt0(xT)),szmzizndt0(xT)),
inference(subsumption_resolution,[],[f612,f189]) ).
fof(f612,plain,
( xT = sdtpldt0(sdtmndt0(xT,szmzizndt0(xT)),szmzizndt0(xT))
| ~ aSet0(xT) ),
inference(resolution,[],[f217,f199]) ).
fof(f295,plain,
! [X2,X0,X1] :
( sK10(X0,X1,X2) != X0
| sP0(X0,X1,X2)
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f255]) ).
fof(f1230,plain,
( sP1(szmzizndt0(xS),sdtmndt0(xT,szmzizndt0(xS)),xT)
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f1226,f324]) ).
fof(f1226,plain,
( sP1(szmzizndt0(xS),sdtmndt0(xT,szmzizndt0(xS)),xT)
| ~ aElement0(szmzizndt0(xS))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xS))) ),
inference(superposition,[],[f293,f633]) ).
fof(f633,plain,
xT = sdtpldt0(sdtmndt0(xT,szmzizndt0(xS)),szmzizndt0(xS)),
inference(subsumption_resolution,[],[f610,f189]) ).
fof(f610,plain,
( xT = sdtpldt0(sdtmndt0(xT,szmzizndt0(xS)),szmzizndt0(xS))
| ~ aSet0(xT) ),
inference(resolution,[],[f217,f198]) ).
fof(f572,plain,
( sz00 = szmzizndt0(xS)
| szmzizndt0(xS) = szszuzczcdt0(sK6(szmzizndt0(xS))) ),
inference(resolution,[],[f232,f299]) ).
fof(f1080,plain,
! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f1029,f781]) ).
fof(f274,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1083,plain,
( szNzAzT0 = xT
| ~ aSubsetOf0(szNzAzT0,xT) ),
inference(subsumption_resolution,[],[f1075,f204]) ).
fof(f1075,plain,
( szNzAzT0 = xT
| ~ aSubsetOf0(szNzAzT0,xT)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1029,f191]) ).
fof(f1082,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS) ),
inference(subsumption_resolution,[],[f1074,f204]) ).
fof(f1074,plain,
( szNzAzT0 = xS
| ~ aSubsetOf0(szNzAzT0,xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1029,f188]) ).
fof(f1029,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f271,f220]) ).
fof(f475,plain,
( sz00 = sK3
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl13_6
<=> sz00 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f576,plain,
( sz00 = sK3
| sK3 = szszuzczcdt0(sK6(sK3)) ),
inference(resolution,[],[f232,f305]) ).
fof(f840,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK4))
| ~ aSet0(sdtmndt0(szNzAzT0,sK4)) ),
inference(subsumption_resolution,[],[f839,f334]) ).
fof(f839,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK4))
| ~ aSet0(sdtmndt0(szNzAzT0,sK4))
| ~ aElement0(sK4) ),
inference(subsumption_resolution,[],[f835,f307]) ).
fof(f835,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK4))
| ~ aSet0(sdtmndt0(szNzAzT0,sK4))
| ~ aElement0(sK4) ),
inference(superposition,[],[f208,f645]) ).
fof(f831,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK3))
| ~ aSet0(sdtmndt0(szNzAzT0,sK3)) ),
inference(subsumption_resolution,[],[f830,f332]) ).
fof(f830,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK3))
| ~ aSet0(sdtmndt0(szNzAzT0,sK3))
| ~ aElement0(sK3) ),
inference(subsumption_resolution,[],[f826,f307]) ).
fof(f826,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK3))
| ~ aSet0(sdtmndt0(szNzAzT0,sK3))
| ~ aElement0(sK3) ),
inference(superposition,[],[f208,f643]) ).
fof(f724,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f723,f324]) ).
fof(f723,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(subsumption_resolution,[],[f719,f307]) ).
fof(f719,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(superposition,[],[f208,f634]) ).
fof(f989,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f261,f293]) ).
fof(f261,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 ),
inference(cnf_transformation,[],[f175]) ).
fof(f951,plain,
( ~ isFinite0(xS)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f950,f188]) ).
fof(f950,plain,
( ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f947,f193]) ).
fof(f947,plain,
( slcrc0 = xS
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[],[f284,f187]) ).
fof(f942,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f284,f216]) ).
fof(f941,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f284,f217]) ).
fof(f284,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK7(X0,X1),X1)
& aElementOf0(sK7(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f151,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK7(X0,X1),X1)
& aElementOf0(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f901,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f900,f216]) ).
fof(f900,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f262,f293]) ).
fof(f262,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f223,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f838,plain,
( sP1(sK4,sdtmndt0(szNzAzT0,sK4),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sK4)) ),
inference(subsumption_resolution,[],[f834,f334]) ).
fof(f834,plain,
( sP1(sK4,sdtmndt0(szNzAzT0,sK4),szNzAzT0)
| ~ aElement0(sK4)
| ~ aSet0(sdtmndt0(szNzAzT0,sK4)) ),
inference(superposition,[],[f293,f645]) ).
fof(f645,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK4),sK4),
inference(subsumption_resolution,[],[f621,f204]) ).
fof(f621,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK4),sK4)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f301]) ).
fof(f829,plain,
( sP1(sK3,sdtmndt0(szNzAzT0,sK3),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sK3)) ),
inference(subsumption_resolution,[],[f825,f332]) ).
fof(f825,plain,
( sP1(sK3,sdtmndt0(szNzAzT0,sK3),szNzAzT0)
| ~ aElement0(sK3)
| ~ aSet0(sdtmndt0(szNzAzT0,sK3)) ),
inference(superposition,[],[f293,f643]) ).
fof(f643,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK3),sK3),
inference(subsumption_resolution,[],[f619,f204]) ).
fof(f619,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK3),sK3)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f305]) ).
fof(f781,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f773,f288]) ).
fof(f773,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(resolution,[],[f222,f287]) ).
fof(f786,plain,
! [X0] :
( aSubsetOf0(xT,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xT),szNzAzT0) ),
inference(subsumption_resolution,[],[f778,f189]) ).
fof(f778,plain,
! [X0] :
( aSubsetOf0(xT,X0)
| ~ aSet0(xT)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xT),szNzAzT0) ),
inference(resolution,[],[f222,f190]) ).
fof(f785,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f777,f186]) ).
fof(f777,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(xS)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),szNzAzT0) ),
inference(resolution,[],[f222,f187]) ).
fof(f784,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK5(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f776,f204]) ).
fof(f776,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK5(X0,szNzAzT0))) ),
inference(resolution,[],[f222,f341]) ).
fof(f783,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK5(X0,szNzAzT0)
| aElement0(sK6(sK5(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f775,f204]) ).
fof(f775,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK5(X0,szNzAzT0)
| aElement0(sK6(sK5(X0,szNzAzT0))) ),
inference(resolution,[],[f222,f433]) ).
fof(f782,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK5(X0,szNzAzT0)
| sK5(X0,szNzAzT0) = szszuzczcdt0(sK6(sK5(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f774,f204]) ).
fof(f774,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK5(X0,szNzAzT0)
| sK5(X0,szNzAzT0) = szszuzczcdt0(sK6(sK5(X0,szNzAzT0))) ),
inference(resolution,[],[f222,f232]) ).
fof(f779,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK5(X1,X0)) ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK5(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f222,f216]) ).
fof(f780,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK5(X1,X0)),sK5(X1,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK5(X1,X0)),sK5(X1,X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f222,f217]) ).
fof(f222,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f755,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[],[f704,f308]) ).
fof(f704,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(subsumption_resolution,[],[f703,f288]) ).
fof(f703,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(subsumption_resolution,[],[f702,f202]) ).
fof(f702,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f218,f308]) ).
fof(f744,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,sK4))
| ~ aSet0(sdtmndt0(xS,sK4)) ),
inference(subsumption_resolution,[],[f739,f334]) ).
fof(f739,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,sK4))
| ~ aSet0(sdtmndt0(xS,sK4))
| ~ aElement0(sK4) ),
inference(superposition,[],[f206,f644]) ).
fof(f743,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,sK4))
| ~ aSet0(sdtmndt0(xS,sK4)) ),
inference(subsumption_resolution,[],[f738,f334]) ).
fof(f738,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,sK4))
| ~ aSet0(sdtmndt0(xS,sK4))
| ~ aElement0(sK4) ),
inference(superposition,[],[f208,f644]) ).
fof(f742,plain,
( sP1(sK4,sdtmndt0(xS,sK4),xS)
| ~ aSet0(sdtmndt0(xS,sK4)) ),
inference(subsumption_resolution,[],[f737,f334]) ).
fof(f737,plain,
( sP1(sK4,sdtmndt0(xS,sK4),xS)
| ~ aElement0(sK4)
| ~ aSet0(sdtmndt0(xS,sK4)) ),
inference(superposition,[],[f293,f644]) ).
fof(f741,plain,
( ~ isFinite0(xS)
| ~ aSet0(sdtmndt0(xS,sK4))
| ~ isCountable0(sdtmndt0(xS,sK4)) ),
inference(subsumption_resolution,[],[f735,f334]) ).
fof(f735,plain,
( ~ isFinite0(xS)
| ~ aSet0(sdtmndt0(xS,sK4))
| ~ aElement0(sK4)
| ~ isCountable0(sdtmndt0(xS,sK4)) ),
inference(superposition,[],[f428,f644]) ).
fof(f644,plain,
xS = sdtpldt0(sdtmndt0(xS,sK4),sK4),
inference(subsumption_resolution,[],[f620,f186]) ).
fof(f620,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK4),sK4)
| ~ aSet0(xS) ),
inference(resolution,[],[f217,f192]) ).
fof(f734,plain,
( isCountable0(xT)
| ~ isCountable0(sdtmndt0(xT,sK3))
| ~ aSet0(sdtmndt0(xT,sK3)) ),
inference(subsumption_resolution,[],[f729,f332]) ).
fof(f729,plain,
( isCountable0(xT)
| ~ isCountable0(sdtmndt0(xT,sK3))
| ~ aSet0(sdtmndt0(xT,sK3))
| ~ aElement0(sK3) ),
inference(superposition,[],[f206,f642]) ).
fof(f733,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,sK3))
| ~ aSet0(sdtmndt0(xT,sK3)) ),
inference(subsumption_resolution,[],[f728,f332]) ).
fof(f728,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,sK3))
| ~ aSet0(sdtmndt0(xT,sK3))
| ~ aElement0(sK3) ),
inference(superposition,[],[f208,f642]) ).
fof(f732,plain,
( sP1(sK3,sdtmndt0(xT,sK3),xT)
| ~ aSet0(sdtmndt0(xT,sK3)) ),
inference(subsumption_resolution,[],[f727,f332]) ).
fof(f727,plain,
( sP1(sK3,sdtmndt0(xT,sK3),xT)
| ~ aElement0(sK3)
| ~ aSet0(sdtmndt0(xT,sK3)) ),
inference(superposition,[],[f293,f642]) ).
fof(f731,plain,
( ~ isFinite0(xT)
| ~ aSet0(sdtmndt0(xT,sK3))
| ~ isCountable0(sdtmndt0(xT,sK3)) ),
inference(subsumption_resolution,[],[f725,f332]) ).
fof(f725,plain,
( ~ isFinite0(xT)
| ~ aSet0(sdtmndt0(xT,sK3))
| ~ aElement0(sK3)
| ~ isCountable0(sdtmndt0(xT,sK3)) ),
inference(superposition,[],[f428,f642]) ).
fof(f642,plain,
xT = sdtpldt0(sdtmndt0(xT,sK3),sK3),
inference(subsumption_resolution,[],[f618,f189]) ).
fof(f618,plain,
( xT = sdtpldt0(sdtmndt0(xT,sK3),sK3)
| ~ aSet0(xT) ),
inference(resolution,[],[f217,f194]) ).
fof(f722,plain,
( sP1(szmzizndt0(xS),sdtmndt0(szNzAzT0,szmzizndt0(xS)),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f718,f324]) ).
fof(f718,plain,
( sP1(szmzizndt0(xS),sdtmndt0(szNzAzT0,szmzizndt0(xS)),szNzAzT0)
| ~ aElement0(szmzizndt0(xS))
| ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS))) ),
inference(superposition,[],[f293,f634]) ).
fof(f634,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(xS)),szmzizndt0(xS)),
inference(subsumption_resolution,[],[f611,f204]) ).
fof(f611,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szmzizndt0(xS)),szmzizndt0(xS))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f217,f299]) ).
fof(f715,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f710,f324]) ).
fof(f710,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(superposition,[],[f206,f632]) ).
fof(f714,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f709,f324]) ).
fof(f709,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(superposition,[],[f208,f632]) ).
fof(f713,plain,
( sP1(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)),xS)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f708,f324]) ).
fof(f708,plain,
( sP1(szmzizndt0(xS),sdtmndt0(xS,szmzizndt0(xS)),xS)
| ~ aElement0(szmzizndt0(xS))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(superposition,[],[f293,f632]) ).
fof(f712,plain,
( ~ isFinite0(xS)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(subsumption_resolution,[],[f706,f324]) ).
fof(f706,plain,
( ~ isFinite0(xS)
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| ~ isCountable0(sdtmndt0(xS,szmzizndt0(xS))) ),
inference(superposition,[],[f428,f632]) ).
fof(f632,plain,
xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),szmzizndt0(xS)),
inference(subsumption_resolution,[],[f609,f186]) ).
fof(f609,plain,
( xS = sdtpldt0(sdtmndt0(xS,szmzizndt0(xS)),szmzizndt0(xS))
| ~ aSet0(xS) ),
inference(resolution,[],[f217,f181]) ).
fof(f701,plain,
! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSubsetOf0(slcrc0,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f218,f308]) ).
fof(f218,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f626,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK9(X0)),sK9(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f623,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK9(X0)),sK9(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f217,f247]) ).
fof(f646,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(X0)),sK6(X0))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f622,f204]) ).
fof(f622,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK6(X0)),sK6(X0))
| ~ aSet0(szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f217,f231]) ).
fof(f615,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f217,f286]) ).
fof(f631,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f608,f204]) ).
fof(f608,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f217,f215]) ).
fof(f630,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f607,f204]) ).
fof(f607,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f217,f229]) ).
fof(f627,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f604,f294]) ).
fof(f604,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f217,f558]) ).
fof(f578,plain,
! [X0] :
( sz00 = sK6(X0)
| sK6(X0) = szszuzczcdt0(sK6(sK6(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f232,f231]) ).
fof(f571,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK6(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f232,f215]) ).
fof(f582,plain,
! [X0] :
( szszuzczcdt0(X0) = szszuzczcdt0(sK6(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f570,f230]) ).
fof(f570,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK6(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f232,f229]) ).
fof(f221,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f431,plain,
! [X0] :
( aElement0(szszuzczcdt0(sK6(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f231,f341]) ).
fof(f428,plain,
! [X0,X1] :
( ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f427,f294]) ).
fof(f427,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f206,f233]) ).
fof(f558,plain,
! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f556]) ).
fof(f556,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f293,f292]) ).
fof(f557,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f293,f260]) ).
fof(f293,plain,
! [X0,X1] :
( sP1(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f555,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f290,f289]) ).
fof(f554,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f290,f249]) ).
fof(f553,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ),
inference(resolution,[],[f290,f250]) ).
fof(f290,plain,
! [X0,X1] :
( sP0(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f444,plain,
( sz00 = sK9(xT)
| aElement0(sK6(sK9(xT))) ),
inference(resolution,[],[f433,f371]) ).
fof(f443,plain,
( sz00 = sK9(xS)
| aElement0(sK6(sK9(xS))) ),
inference(resolution,[],[f433,f369]) ).
fof(f504,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f286,f216]) ).
fof(f286,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f438,plain,
( sz00 = szmzizndt0(xT)
| aElement0(sK6(szmzizndt0(xT))) ),
inference(resolution,[],[f433,f300]) ).
fof(f446,plain,
! [X0] :
( aElement0(sK6(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f435,f230]) ).
fof(f435,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| aElement0(sK6(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f433,f229]) ).
fof(f437,plain,
( sz00 = szmzizndt0(xS)
| aElement0(sK6(szmzizndt0(xS))) ),
inference(resolution,[],[f433,f299]) ).
fof(f441,plain,
( sz00 = sK4
| aElement0(sK6(sK4)) ),
inference(resolution,[],[f433,f301]) ).
fof(f250,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f440,plain,
( sz00 = sK3
| aElement0(sK6(sK3)) ),
inference(resolution,[],[f433,f305]) ).
fof(f439,plain,
( sz00 = sK2
| aElement0(sK6(sK2)) ),
inference(resolution,[],[f433,f304]) ).
fof(f442,plain,
! [X0] :
( sz00 = sK6(X0)
| aElement0(sK6(sK6(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f433,f231]) ).
fof(f436,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| aElement0(sK6(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f433,f215]) ).
fof(f206,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(f292,plain,
! [X2,X1,X4] :
( ~ sP1(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f263]) ).
fof(f263,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f260,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X0] :
( aElement0(sK9(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f361,plain,
! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK9(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f247,f216]) ).
fof(f367,plain,
( slcrc0 = szNzAzT0
| aElement0(szszuzczcdt0(sK9(szNzAzT0))) ),
inference(subsumption_resolution,[],[f363,f204]) ).
fof(f363,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK9(szNzAzT0))) ),
inference(resolution,[],[f247,f341]) ).
fof(f375,plain,
aElement0(szszuzczcdt0(sK9(xT))),
inference(resolution,[],[f371,f341]) ).
fof(f249,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f168]) ).
fof(f372,plain,
aElement0(szszuzczcdt0(sK9(xS))),
inference(resolution,[],[f369,f341]) ).
fof(f377,plain,
aElement0(sK9(xT)),
inference(subsumption_resolution,[],[f376,f204]) ).
fof(f376,plain,
( aElement0(sK9(xT))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f371,f216]) ).
fof(f371,plain,
aElementOf0(sK9(xT),szNzAzT0),
inference(subsumption_resolution,[],[f370,f189]) ).
fof(f370,plain,
( ~ aSet0(xT)
| aElementOf0(sK9(xT),szNzAzT0) ),
inference(subsumption_resolution,[],[f365,f195]) ).
fof(f365,plain,
( slcrc0 = xT
| ~ aSet0(xT)
| aElementOf0(sK9(xT),szNzAzT0) ),
inference(resolution,[],[f247,f190]) ).
fof(f374,plain,
aElement0(sK9(xS)),
inference(subsumption_resolution,[],[f373,f204]) ).
fof(f373,plain,
( aElement0(sK9(xS))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f369,f216]) ).
fof(f369,plain,
aElementOf0(sK9(xS),szNzAzT0),
inference(subsumption_resolution,[],[f368,f186]) ).
fof(f368,plain,
( ~ aSet0(xS)
| aElementOf0(sK9(xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f364,f193]) ).
fof(f364,plain,
( slcrc0 = xS
| ~ aSet0(xS)
| aElementOf0(sK9(xS),szNzAzT0) ),
inference(resolution,[],[f247,f187]) ).
fof(f247,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f212,plain,
! [X0] :
( sz00 != sbrdtbr0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f351,plain,
! [X0] :
( aElement0(szszuzczcdt0(sbrdtbr0(X0)))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f215,f341]) ).
fof(f215,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f214,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f343,plain,
! [X0] :
( aElement0(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f341,f229]) ).
fof(f289,plain,
! [X2,X1,X4] :
( ~ sP0(X4,X1,X2)
| ~ aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f251]) ).
fof(f251,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f230,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f345,plain,
aElement0(szszuzczcdt0(szmzizndt0(xT))),
inference(resolution,[],[f341,f300]) ).
fof(f344,plain,
aElement0(szszuzczcdt0(szmzizndt0(xS))),
inference(resolution,[],[f341,f299]) ).
fof(f342,plain,
aElement0(szszuzczcdt0(sz00)),
inference(resolution,[],[f341,f203]) ).
fof(f348,plain,
aElement0(szszuzczcdt0(sK4)),
inference(resolution,[],[f341,f301]) ).
fof(f347,plain,
aElement0(szszuzczcdt0(sK3)),
inference(resolution,[],[f341,f305]) ).
fof(f226,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f327,plain,
aElement0(szmzizndt0(xT)),
inference(subsumption_resolution,[],[f315,f189]) ).
fof(f315,plain,
( aElement0(szmzizndt0(xT))
| ~ aSet0(xT) ),
inference(resolution,[],[f216,f199]) ).
fof(f324,plain,
aElement0(szmzizndt0(xS)),
inference(subsumption_resolution,[],[f312,f186]) ).
fof(f312,plain,
( aElement0(szmzizndt0(xS))
| ~ aSet0(xS) ),
inference(resolution,[],[f216,f181]) ).
fof(f220,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f334,plain,
aElement0(sK4),
inference(subsumption_resolution,[],[f322,f186]) ).
fof(f322,plain,
( aElement0(sK4)
| ~ aSet0(xS) ),
inference(resolution,[],[f216,f192]) ).
fof(f332,plain,
aElement0(sK3),
inference(subsumption_resolution,[],[f320,f189]) ).
fof(f320,plain,
( aElement0(sK3)
| ~ aSet0(xT) ),
inference(resolution,[],[f216,f194]) ).
fof(f335,plain,
aElement0(sK4),
inference(subsumption_resolution,[],[f323,f204]) ).
fof(f323,plain,
( aElement0(sK4)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f216,f301]) ).
fof(f333,plain,
aElement0(sK3),
inference(subsumption_resolution,[],[f321,f204]) ).
fof(f321,plain,
( aElement0(sK3)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f216,f305]) ).
fof(f331,plain,
aElement0(sK2),
inference(subsumption_resolution,[],[f319,f204]) ).
fof(f319,plain,
( aElement0(sK2)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f216,f304]) ).
fof(f329,plain,
aElement0(szmzizndt0(xT)),
inference(subsumption_resolution,[],[f317,f204]) ).
fof(f317,plain,
( aElement0(szmzizndt0(xT))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f216,f300]) ).
fof(f328,plain,
aElement0(szmzizndt0(xT)),
inference(subsumption_resolution,[],[f316,f186]) ).
fof(f316,plain,
( aElement0(szmzizndt0(xT))
| ~ aSet0(xS) ),
inference(resolution,[],[f216,f201]) ).
fof(f326,plain,
aElement0(szmzizndt0(xS)),
inference(subsumption_resolution,[],[f314,f204]) ).
fof(f314,plain,
( aElement0(szmzizndt0(xS))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f216,f299]) ).
fof(f325,plain,
aElement0(szmzizndt0(xS)),
inference(subsumption_resolution,[],[f313,f189]) ).
fof(f313,plain,
( aElement0(szmzizndt0(xS))
| ~ aSet0(xT) ),
inference(resolution,[],[f216,f198]) ).
fof(f225,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f224,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f305,plain,
aElementOf0(sK3,szNzAzT0),
inference(resolution,[],[f190,f194]) ).
fof(f301,plain,
aElementOf0(sK4,szNzAzT0),
inference(resolution,[],[f187,f192]) ).
fof(f211,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,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(f297,plain,
~ isCountable0(slcrc0),
inference(subsumption_resolution,[],[f282,f288]) ).
fof(f199,plain,
aElementOf0(szmzizndt0(xT),xT),
inference(cnf_transformation,[],[f67]) ).
fof(f198,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(cnf_transformation,[],[f67]) ).
fof(f185,plain,
szmzizndt0(xS) != szmzizndt0(xT),
inference(cnf_transformation,[],[f136]) ).
fof(f203,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f194,plain,
aElementOf0(sK3,xT),
inference(cnf_transformation,[],[f139]) ).
fof(f193,plain,
slcrc0 != xS,
inference(cnf_transformation,[],[f139]) ).
fof(f192,plain,
aElementOf0(sK4,xS),
inference(cnf_transformation,[],[f139]) ).
fof(f188,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f139]) ).
fof(f279,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f272,plain,
! [X0,X1] :
( aSubsetOf0(sK12(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( sbrdtbr0(sK12(X0,X1)) = X1
& aSubsetOf0(sK12(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f117,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK12(X0,X1)) = X1
& aSubsetOf0(sK12(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f273,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| sbrdtbr0(sK12(X0,X1)) = X1
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f271,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f265,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK11(X0,X1,X2) = X0
| aElementOf0(sK11(X0,X1,X2),X1)
| aElementOf0(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f266,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ aElementOf0(sK11(X0,X1,X2),X1)
| ~ aElement0(sK11(X0,X1,X2))
| ~ aElementOf0(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f296,plain,
! [X2,X0,X1] :
( sK11(X0,X1,X2) != X0
| sP1(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK11(X0,X1,X2) != X0
| ~ aElement0(sK11(X0,X1,X2))
| ~ aElementOf0(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f254,plain,
! [X2,X0,X1] :
( aElementOf0(sK10(X0,X1,X2),X2)
| aElementOf0(sK10(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f255,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK10(X0,X1,X2) != X0
| aElementOf0(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f256,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK10(X0,X1,X2) = X0
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| ~ aElement0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f243,plain,
! [X0,X1] :
( aElementOf0(sK8(X0,X1),X0)
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f244,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,sK8(X0,X1))
| szmzizndt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f283,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f239,plain,
! [X0,X1] :
( aElementOf0(sK7(X0,X1),X0)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f240,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sK7(X0,X1),X1)
| szmzazxdt0(X0) = X1
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f235,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f282,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,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(f196,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(cnf_transformation,[],[f67]) ).
fof(f197,plain,
! [X1] :
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
inference(cnf_transformation,[],[f67]) ).
fof(f1943,plain,
( ~ spl13_6
| spl13_12
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1942,plain,
( $false
| ~ spl13_6
| spl13_12
| spl13_81 ),
inference(global_subsumption,[],[f501,f197,f196,f281,f282,f235,f240,f239,f283,f244,f243,f256,f255,f254,f267,f296,f266,f265,f271,f273,f272,f276,f279,f280,f186,f189,f202,f204,f205,f288,f183,f188,f191,f192,f193,f194,f195,f203,f287,f181,f184,f185,f198,f199,f201,f297,f210,f211,f182,f298,f187,f301,f299,f300,f190,f304,f305,f224,f225,f233,f307,f308,f310,f200,f216,f325,f326,f328,f329,f331,f333,f335,f330,f332,f334,f220,f324,f327,f226,f227,f228,f229,f341,f346,f347,f348,f342,f344,f345,f230,f289,f343,f214,f215,f291,f294,f351,f212,f236,f247,f369,f374,f371,f377,f372,f249,f375,f367,f366,f260,f292,f206,f207,f208,f209,f231,f433,f436,f442,f439,f440,f250,f441,f437,f446,f438,f286,f504,f443,f444,f290,f553,f554,f555,f293,f557,f558,f428,f430,f431,f221,f232,f582,f571,f578,f217,f627,f630,f631,f615,f646,f626,f218,f701,f632,f712,f713,f714,f715,f634,f722,f642,f731,f732,f733,f734,f644,f741,f742,f743,f744,f704,f755,f222,f780,f779,f782,f783,f784,f785,f786,f781,f643,f829,f645,f838,f223,f262,f901,f284,f941,f942,f951,f261,f989,f724,f831,f840,f576,f475,f1029,f1082,f1083,f274,f1080,f572,f285,f633,f1230,f295,f635,f1257,f248,f1300,f1302,f1305,f1306,f1307,f1308,f1309,f1313,f1295,f275,f277,f636,f1438,f1301,f1458,f1459,f1460,f1462,f1498,f1466,f1467,f1469,f1470,f1472,f1483,f1493,f1495,f1496,f278,f1473,f1560,f1562,f1478,f1604,f1606,f219,f1646,f1645,f1626,f1644,f1643,f1642,f1559,f252,f1687,f1603,f253,f1728,f1729,f1746,f1461,f1767,f1768,f1770,f259,f1731,f1786,f637,f1793,f1795,f647,f1802,f1804,f648,f1811,f1813,f1474,f1821,f1822,f1824,f264,f1850,f1851,f1868,f1853,f1877,f270,f1864,f1862,f1860,f1859,f1858,f1742,f1740,f1738,f1737,f1736,f1457,f1501,f1476,f1464,f1316,f1064,f1063,f1058,f628,f640,f638,f575,f573,f1891,f1889]) ).
fof(f501,plain,
( sz00 != szmzizndt0(xT)
| spl13_12 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl13_12
<=> sz00 = szmzizndt0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f1941,plain,
( ~ spl13_6
| ~ spl13_80
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1940]) ).
fof(f1940,plain,
( $false
| ~ spl13_6
| ~ spl13_80
| spl13_81 ),
inference(global_subsumption,[],[f1884,f197,f196,f281,f282,f235,f240,f239,f283,f244,f243,f256,f255,f254,f267,f296,f266,f265,f271,f273,f272,f276,f279,f280,f186,f189,f202,f204,f205,f288,f183,f188,f191,f192,f193,f194,f195,f203,f287,f181,f184,f185,f198,f199,f201,f297,f210,f211,f182,f298,f187,f301,f299,f300,f190,f304,f305,f224,f225,f233,f307,f308,f310,f200,f216,f325,f326,f328,f329,f331,f333,f335,f330,f332,f334,f220,f324,f327,f226,f227,f228,f229,f341,f346,f347,f348,f342,f344,f345,f230,f289,f343,f214,f215,f291,f294,f351,f212,f236,f247,f369,f374,f371,f377,f372,f249,f375,f367,f366,f260,f292,f206,f207,f208,f209,f231,f433,f436,f442,f439,f440,f250,f441,f437,f446,f438,f286,f504,f443,f444,f290,f553,f554,f555,f293,f557,f558,f428,f430,f431,f221,f232,f582,f571,f578,f217,f627,f630,f631,f615,f646,f626,f218,f701,f632,f712,f713,f714,f715,f634,f722,f642,f731,f732,f733,f734,f644,f741,f742,f743,f744,f704,f755,f222,f780,f779,f782,f783,f784,f785,f786,f781,f643,f829,f645,f838,f223,f262,f901,f284,f941,f942,f951,f261,f989,f724,f831,f840,f576,f475,f1029,f1082,f1083,f274,f1080,f572,f285,f633,f1230,f295,f635,f1257,f248,f1300,f1302,f1305,f1306,f1307,f1308,f1309,f1313,f1295,f275,f277,f636,f1438,f1301,f1458,f1459,f1460,f1462,f1498,f1466,f1467,f1469,f1470,f1472,f1483,f1493,f1495,f1496,f278,f1473,f1560,f1562,f1478,f1604,f1606,f219,f1646,f1645,f1626,f1644,f1643,f1642,f1559,f252,f1687,f1603,f253,f1728,f1729,f1746,f1461,f1767,f1768,f1770,f259,f1731,f1786,f637,f1793,f1795,f647,f1802,f1804,f648,f1811,f1813,f1474,f1821,f1822,f1824,f264,f1850,f1851,f1868,f1853,f1877,f270,f1864,f1862,f1860,f1859,f1858,f1742,f1740,f1738,f1737,f1736,f1457,f1501,f1476,f1464,f1316,f1064,f1063,f1058,f628,f640,f638,f575,f573,f1891,f1889]) ).
fof(f1884,plain,
( aElementOf0(sK6(szmzizndt0(xT)),szNzAzT0)
| ~ spl13_80 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1883,plain,
( spl13_80
<=> aElementOf0(sK6(szmzizndt0(xT)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f1939,plain,
( ~ spl13_6
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1938,plain,
( $false
| ~ spl13_6
| spl13_81 ),
inference(global_subsumption,[],[f197,f196,f281,f282,f235,f240,f239,f283,f244,f243,f256,f255,f254,f267,f296,f266,f265,f271,f273,f272,f276,f279,f280,f186,f189,f202,f204,f205,f288,f183,f188,f191,f192,f193,f194,f195,f203,f287,f181,f184,f185,f198,f199,f201,f297,f210,f211,f182,f298,f187,f301,f299,f300,f190,f304,f305,f224,f225,f233,f307,f308,f310,f200,f216,f325,f326,f328,f329,f331,f333,f335,f330,f332,f334,f220,f324,f327,f226,f227,f228,f229,f341,f346,f347,f348,f342,f344,f345,f230,f289,f343,f214,f215,f291,f294,f351,f212,f236,f247,f369,f374,f371,f377,f372,f249,f375,f367,f366,f260,f292,f206,f207,f208,f209,f231,f433,f436,f442,f439,f440,f250,f441,f437,f446,f438,f286,f504,f443,f444,f290,f553,f554,f555,f293,f557,f558,f428,f430,f431,f221,f232,f582,f571,f578,f217,f627,f630,f631,f615,f646,f626,f218,f701,f632,f712,f713,f714,f715,f634,f722,f642,f731,f732,f733,f734,f644,f741,f742,f743,f744,f704,f755,f222,f780,f779,f782,f783,f784,f785,f786,f781,f643,f829,f645,f838,f223,f262,f901,f284,f941,f942,f951,f261,f989,f724,f831,f840,f576,f475,f1029,f1082,f1083,f274,f1080,f572,f285,f633,f1230,f295,f635,f1257,f248,f1300,f1302,f1305,f1306,f1307,f1308,f1309,f1313,f1295,f275,f277,f636,f1438,f1301,f1458,f1459,f1460,f1462,f1498,f1466,f1467,f1469,f1470,f1472,f1483,f1493,f1495,f1496,f278,f1473,f1560,f1562,f1478,f1604,f1606,f219,f1646,f1645,f1626,f1644,f1643,f1642,f1559,f252,f1687,f1603,f253,f1728,f1729,f1746,f1461,f1767,f1768,f1770,f259,f1731,f1786,f637,f1793,f1795,f647,f1802,f1804,f648,f1811,f1813,f1474,f1821,f1822,f1824,f264,f1850,f1851,f1868,f1853,f1877,f270,f1864,f1862,f1860,f1859,f1858,f1742,f1740,f1738,f1737,f1736,f1457,f1501,f1476,f1464,f1316,f1064,f1063,f1058,f628,f640,f638,f575,f573,f1891,f1889]) ).
fof(f1937,plain,
( ~ spl13_6
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1936]) ).
fof(f1936,plain,
( $false
| ~ spl13_6
| spl13_81 ),
inference(global_subsumption,[],[f197,f196,f281,f282,f235,f240,f239,f283,f244,f243,f256,f255,f254,f267,f296,f266,f265,f271,f273,f272,f276,f279,f280,f186,f189,f202,f204,f205,f288,f183,f188,f191,f192,f193,f194,f195,f203,f287,f181,f184,f185,f198,f199,f201,f297,f210,f211,f182,f298,f187,f301,f299,f300,f190,f304,f305,f224,f225,f233,f307,f308,f310,f200,f216,f325,f326,f328,f329,f331,f333,f335,f330,f332,f334,f220,f324,f327,f226,f227,f228,f229,f341,f346,f347,f348,f342,f344,f345,f230,f289,f343,f214,f215,f291,f294,f351,f212,f236,f247,f369,f374,f371,f377,f372,f249,f375,f367,f366,f260,f292,f206,f207,f208,f209,f231,f433,f436,f442,f439,f440,f250,f441,f437,f446,f438,f286,f504,f443,f444,f290,f553,f554,f555,f293,f557,f558,f428,f430,f431,f221,f232,f582,f571,f578,f217,f627,f630,f631,f615,f646,f626,f218,f701,f632,f712,f713,f714,f715,f634,f722,f642,f731,f732,f733,f734,f644,f741,f742,f743,f744,f704,f755,f222,f780,f779,f782,f783,f784,f785,f786,f781,f643,f829,f645,f838,f223,f262,f901,f284,f941,f942,f951,f261,f989,f724,f831,f840,f576,f475,f1029,f1082,f1083,f274,f1080,f572,f285,f633,f1230,f295,f635,f1257,f248,f1300,f1302,f1305,f1306,f1307,f1308,f1309,f1313,f1295,f275,f277,f636,f1438,f1301,f1458,f1459,f1460,f1462,f1498,f1466,f1467,f1469,f1470,f1472,f1483,f1493,f1495,f1496,f278,f1473,f1560,f1562,f1478,f1604,f1606,f219,f1646,f1645,f1626,f1644,f1643,f1642,f1559,f252,f1687,f1603,f253,f1728,f1729,f1746,f1461,f1767,f1768,f1770,f259,f1731,f1786,f637,f1793,f1795,f647,f1802,f1804,f648,f1811,f1813,f1474,f1821,f1822,f1824,f264,f1850,f1851,f1868,f1853,f1877,f270,f1889,f1864,f1862,f1860,f1859,f1858,f1742,f1740,f1738,f1737,f1736,f1457,f1501,f1476,f1464,f1316,f1064,f1063,f1058,f628,f640,f638,f575,f573,f1891]) ).
fof(f1930,plain,
( ~ spl13_4
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1929,plain,
( $false
| ~ spl13_4
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f1911,f460]) ).
fof(f460,plain,
( ~ aElementOf0(sz00,xS)
| ~ spl13_4 ),
inference(superposition,[],[f298,f456]) ).
fof(f456,plain,
( sz00 = sK2
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1911,plain,
( aElementOf0(sz00,xS)
| ~ spl13_12 ),
inference(superposition,[],[f201,f502]) ).
fof(f502,plain,
( sz00 = szmzizndt0(xT)
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f1903,plain,
( spl13_12
| spl13_80 ),
inference(avatar_contradiction_clause,[],[f1902]) ).
fof(f1902,plain,
( $false
| spl13_12
| spl13_80 ),
inference(subsumption_resolution,[],[f1901,f300]) ).
fof(f1901,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| spl13_12
| spl13_80 ),
inference(subsumption_resolution,[],[f1899,f501]) ).
fof(f1899,plain,
( sz00 = szmzizndt0(xT)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| spl13_80 ),
inference(resolution,[],[f1885,f231]) ).
fof(f1885,plain,
( ~ aElementOf0(sK6(szmzizndt0(xT)),szNzAzT0)
| spl13_80 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1898,plain,
( ~ spl13_4
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| ~ spl13_4
| spl13_81 ),
inference(subsumption_resolution,[],[f1896,f191]) ).
fof(f1896,plain,
( ~ aSubsetOf0(xT,szNzAzT0)
| ~ spl13_4
| spl13_81 ),
inference(subsumption_resolution,[],[f1895,f195]) ).
fof(f1895,plain,
( slcrc0 = xT
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ spl13_4
| spl13_81 ),
inference(subsumption_resolution,[],[f1892,f458]) ).
fof(f458,plain,
( aElementOf0(sz00,xT)
| ~ spl13_4 ),
inference(superposition,[],[f183,f456]) ).
fof(f1892,plain,
( ~ aElementOf0(sz00,xT)
| slcrc0 = xT
| ~ aSubsetOf0(xT,szNzAzT0)
| spl13_81 ),
inference(resolution,[],[f1889,f285]) ).
fof(f1894,plain,
( ~ spl13_4
| spl13_81 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| ~ spl13_4
| spl13_81 ),
inference(subsumption_resolution,[],[f1891,f458]) ).
fof(f1890,plain,
( ~ spl13_80
| ~ spl13_81
| spl13_12 ),
inference(avatar_split_clause,[],[f795,f500,f1887,f1883]) ).
fof(f795,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ~ aElementOf0(sK6(szmzizndt0(xT)),szNzAzT0)
| spl13_12 ),
inference(superposition,[],[f227,f584]) ).
fof(f584,plain,
( szmzizndt0(xT) = szszuzczcdt0(sK6(szmzizndt0(xT)))
| spl13_12 ),
inference(subsumption_resolution,[],[f573,f501]) ).
fof(f1838,plain,
( spl13_20
| ~ spl13_29
| spl13_78 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| spl13_20
| ~ spl13_29
| spl13_78 ),
inference(subsumption_resolution,[],[f1836,f885]) ).
fof(f885,plain,
( aElementOf0(sK9(szNzAzT0),szNzAzT0)
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl13_29
<=> aElementOf0(sK9(szNzAzT0),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f1836,plain,
( ~ aElementOf0(sK9(szNzAzT0),szNzAzT0)
| spl13_20
| spl13_78 ),
inference(subsumption_resolution,[],[f1834,f550]) ).
fof(f550,plain,
( sz00 != sK9(szNzAzT0)
| spl13_20 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl13_20
<=> sz00 = sK9(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1834,plain,
( sz00 = sK9(szNzAzT0)
| ~ aElementOf0(sK9(szNzAzT0),szNzAzT0)
| spl13_78 ),
inference(resolution,[],[f1828,f231]) ).
fof(f1828,plain,
( ~ aElementOf0(sK6(sK9(szNzAzT0)),szNzAzT0)
| spl13_78 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f1826,plain,
( spl13_78
<=> aElementOf0(sK6(sK9(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f1833,plain,
( ~ spl13_78
| ~ spl13_79
| spl13_2
| spl13_20 ),
inference(avatar_split_clause,[],[f747,f549,f383,f1830,f1826]) ).
fof(f1830,plain,
( spl13_79
<=> sdtlseqdt0(sK9(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f383,plain,
( spl13_2
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f747,plain,
( ~ sdtlseqdt0(sK9(szNzAzT0),sz00)
| ~ aElementOf0(sK6(sK9(szNzAzT0)),szNzAzT0)
| spl13_2
| spl13_20 ),
inference(superposition,[],[f227,f593]) ).
fof(f593,plain,
( sK9(szNzAzT0) = szszuzczcdt0(sK6(sK9(szNzAzT0)))
| spl13_2
| spl13_20 ),
inference(subsumption_resolution,[],[f592,f204]) ).
fof(f592,plain,
( sK9(szNzAzT0) = szszuzczcdt0(sK6(sK9(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl13_2
| spl13_20 ),
inference(subsumption_resolution,[],[f591,f384]) ).
fof(f384,plain,
( slcrc0 != szNzAzT0
| spl13_2 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f591,plain,
( sK9(szNzAzT0) = szszuzczcdt0(sK6(sK9(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| spl13_20 ),
inference(subsumption_resolution,[],[f581,f550]) ).
fof(f581,plain,
( sz00 = sK9(szNzAzT0)
| sK9(szNzAzT0) = szszuzczcdt0(sK6(sK9(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f232,f247]) ).
fof(f1756,plain,
spl13_77,
inference(avatar_contradiction_clause,[],[f1755]) ).
fof(f1755,plain,
( $false
| spl13_77 ),
inference(subsumption_resolution,[],[f1754,f288]) ).
fof(f1754,plain,
( ~ aSet0(slcrc0)
| spl13_77 ),
inference(subsumption_resolution,[],[f1753,f334]) ).
fof(f1753,plain,
( ~ aElement0(sK4)
| ~ aSet0(slcrc0)
| spl13_77 ),
inference(resolution,[],[f1726,f294]) ).
fof(f1726,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK4))
| spl13_77 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1724,plain,
( spl13_77
<=> aSet0(sdtpldt0(slcrc0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f1727,plain,
( ~ spl13_76
| ~ spl13_77 ),
inference(avatar_split_clause,[],[f1603,f1724,f1720]) ).
fof(f1720,plain,
( spl13_76
<=> isCountable0(sdtpldt0(slcrc0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f1718,plain,
( spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21
| spl13_75 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
fof(f1717,plain,
( $false
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21
| spl13_75 ),
inference(subsumption_resolution,[],[f1716,f288]) ).
fof(f1716,plain,
( ~ aSet0(slcrc0)
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21
| spl13_75 ),
inference(subsumption_resolution,[],[f1715,f987]) ).
fof(f987,plain,
( aElement0(szmzizndt0(szNzAzT0))
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f986,f518]) ).
fof(f518,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl13_14
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f986,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2
| ~ spl13_4
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f973,f384]) ).
fof(f973,plain,
( aElement0(szmzizndt0(szNzAzT0))
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl13_4
| ~ spl13_21 ),
inference(resolution,[],[f967,f286]) ).
fof(f967,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) )
| ~ spl13_4
| ~ spl13_21 ),
inference(resolution,[],[f964,f260]) ).
fof(f964,plain,
( sP1(sz00,sdtmndt0(szNzAzT0,sz00),szNzAzT0)
| ~ spl13_4
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f685,f690]) ).
fof(f690,plain,
( aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f689,plain,
( spl13_21
<=> aSet0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f685,plain,
( sP1(sz00,sdtmndt0(szNzAzT0,sz00),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f681,f310]) ).
fof(f681,plain,
( sP1(sz00,sdtmndt0(szNzAzT0,sz00),szNzAzT0)
| ~ aElement0(sz00)
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ spl13_4 ),
inference(superposition,[],[f293,f641]) ).
fof(f641,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f640,f456]) ).
fof(f1715,plain,
( ~ aElement0(szmzizndt0(szNzAzT0))
| ~ aSet0(slcrc0)
| spl13_75 ),
inference(resolution,[],[f1712,f294]) ).
fof(f1712,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| spl13_75 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1710,plain,
( spl13_75
<=> aSet0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f1713,plain,
( ~ spl13_74
| ~ spl13_75
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f1592,f689,f517,f454,f383,f1710,f1706]) ).
fof(f1706,plain,
( spl13_74
<=> isCountable0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f1592,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f1591,f987]) ).
fof(f1591,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| ~ aElement0(szmzizndt0(szNzAzT0))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f1585,f202]) ).
fof(f1585,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| ~ aElement0(szmzizndt0(szNzAzT0))
| ~ isCountable0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)))
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(superposition,[],[f430,f1475]) ).
fof(f1475,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szmzizndt0(szNzAzT0)),szmzizndt0(szNzAzT0))
| spl13_2
| ~ spl13_4
| ~ spl13_14
| ~ spl13_21 ),
inference(resolution,[],[f1301,f987]) ).
fof(f1693,plain,
spl13_73,
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1692,plain,
( $false
| spl13_73 ),
inference(subsumption_resolution,[],[f1691,f288]) ).
fof(f1691,plain,
( ~ aSet0(slcrc0)
| spl13_73 ),
inference(subsumption_resolution,[],[f1690,f342]) ).
fof(f1690,plain,
( ~ aElement0(szszuzczcdt0(sz00))
| ~ aSet0(slcrc0)
| spl13_73 ),
inference(resolution,[],[f1682,f294]) ).
fof(f1682,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| spl13_73 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1680,plain,
( spl13_73
<=> aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f1683,plain,
( ~ spl13_72
| ~ spl13_73
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f1581,f454,f1680,f1676]) ).
fof(f1676,plain,
( spl13_72
<=> isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1581,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1580,f342]) ).
fof(f1580,plain,
( ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1574,f202]) ).
fof(f1574,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)))
| ~ spl13_4 ),
inference(superposition,[],[f430,f1497]) ).
fof(f1497,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1464,f456]) ).
fof(f1674,plain,
( ~ spl13_3
| ~ spl13_4
| spl13_71 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| ~ spl13_3
| ~ spl13_4
| spl13_71 ),
inference(subsumption_resolution,[],[f1672,f288]) ).
fof(f1672,plain,
( ~ aSet0(slcrc0)
| ~ spl13_3
| ~ spl13_4
| spl13_71 ),
inference(subsumption_resolution,[],[f1671,f1073]) ).
fof(f1073,plain,
( aElement0(sK6(sz00))
| ~ spl13_3
| ~ spl13_4 ),
inference(forward_demodulation,[],[f452,f456]) ).
fof(f1671,plain,
( ~ aElement0(sK6(sz00))
| ~ aSet0(slcrc0)
| spl13_71 ),
inference(resolution,[],[f1668,f294]) ).
fof(f1668,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sz00)))
| spl13_71 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1666,plain,
( spl13_71
<=> aSet0(sdtpldt0(slcrc0,sK6(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f1669,plain,
( ~ spl13_70
| ~ spl13_71
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f1570,f454,f450,f1666,f1662]) ).
fof(f1662,plain,
( spl13_70
<=> isCountable0(sdtpldt0(slcrc0,sK6(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f1570,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1569,f1073]) ).
fof(f1569,plain,
( ~ aSet0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ aElement0(sK6(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1563,f202]) ).
fof(f1563,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ aElement0(sK6(sz00))
| ~ isCountable0(sdtpldt0(slcrc0,sK6(sz00)))
| ~ spl13_3
| ~ spl13_4 ),
inference(superposition,[],[f430,f1482]) ).
fof(f1482,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sK6(sz00)),sK6(sz00))
| ~ spl13_3
| ~ spl13_4 ),
inference(resolution,[],[f1301,f1073]) ).
fof(f1660,plain,
spl13_69,
inference(avatar_contradiction_clause,[],[f1659]) ).
fof(f1659,plain,
( $false
| spl13_69 ),
inference(subsumption_resolution,[],[f1658,f288]) ).
fof(f1658,plain,
( ~ aSet0(slcrc0)
| spl13_69 ),
inference(subsumption_resolution,[],[f1657,f324]) ).
fof(f1657,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ aSet0(slcrc0)
| spl13_69 ),
inference(resolution,[],[f1654,f294]) ).
fof(f1654,plain,
( ~ aSet0(sdtpldt0(slcrc0,szmzizndt0(xS)))
| spl13_69 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1652,plain,
( spl13_69
<=> aSet0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f1655,plain,
( ~ spl13_68
| ~ spl13_69 ),
inference(avatar_split_clause,[],[f1559,f1652,f1648]) ).
fof(f1648,plain,
( spl13_68
<=> isCountable0(sdtpldt0(slcrc0,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f1527,plain,
spl13_67,
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| spl13_67 ),
inference(subsumption_resolution,[],[f1525,f288]) ).
fof(f1525,plain,
( ~ aSet0(slcrc0)
| spl13_67 ),
inference(subsumption_resolution,[],[f1524,f310]) ).
fof(f1524,plain,
( ~ aElement0(sz00)
| ~ aSet0(slcrc0)
| spl13_67 ),
inference(resolution,[],[f1521,f294]) ).
fof(f1521,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| spl13_67 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1519,plain,
( spl13_67
<=> aSet0(sdtpldt0(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f1522,plain,
( ~ spl13_66
| ~ spl13_67
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f1510,f454,f1519,f1515]) ).
fof(f1515,plain,
( spl13_66
<=> isCountable0(sdtpldt0(slcrc0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f1510,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1509,f310]) ).
fof(f1509,plain,
( ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00)
| ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1503,f202]) ).
fof(f1503,plain,
( ~ isFinite0(slcrc0)
| ~ aSet0(sdtpldt0(slcrc0,sz00))
| ~ aElement0(sz00)
| ~ isCountable0(sdtpldt0(slcrc0,sz00))
| ~ spl13_4 ),
inference(superposition,[],[f430,f1500]) ).
fof(f1500,plain,
( slcrc0 = sdtmndt0(sdtpldt0(slcrc0,sz00),sz00)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1476,f456]) ).
fof(f1455,plain,
spl13_64,
inference(avatar_contradiction_clause,[],[f1454]) ).
fof(f1454,plain,
( $false
| spl13_64 ),
inference(subsumption_resolution,[],[f1453,f186]) ).
fof(f1453,plain,
( ~ aSet0(xS)
| spl13_64 ),
inference(subsumption_resolution,[],[f1452,f327]) ).
fof(f1452,plain,
( ~ aElement0(szmzizndt0(xT))
| ~ aSet0(xS)
| spl13_64 ),
inference(resolution,[],[f1446,f291]) ).
fof(f1446,plain,
( ~ aSet0(sdtmndt0(xS,szmzizndt0(xT)))
| spl13_64 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl13_64
<=> aSet0(sdtmndt0(xS,szmzizndt0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f1451,plain,
( ~ spl13_64
| ~ spl13_65
| spl13_61 ),
inference(avatar_split_clause,[],[f1442,f1397,f1448,f1444]) ).
fof(f1448,plain,
( spl13_65
<=> isCountable0(sdtmndt0(xS,szmzizndt0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f1397,plain,
( spl13_61
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f1442,plain,
( ~ isCountable0(sdtmndt0(xS,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xT)))
| spl13_61 ),
inference(subsumption_resolution,[],[f1441,f327]) ).
fof(f1441,plain,
( ~ isCountable0(sdtmndt0(xS,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT))
| spl13_61 ),
inference(subsumption_resolution,[],[f1436,f1398]) ).
fof(f1398,plain,
( ~ isCountable0(xS)
| spl13_61 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1436,plain,
( isCountable0(xS)
| ~ isCountable0(sdtmndt0(xS,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xS,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(superposition,[],[f206,f636]) ).
fof(f1414,plain,
( ~ spl13_3
| ~ spl13_4
| spl13_62 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl13_3
| ~ spl13_4
| spl13_62 ),
inference(subsumption_resolution,[],[f1412,f204]) ).
fof(f1412,plain,
( ~ aSet0(szNzAzT0)
| ~ spl13_3
| ~ spl13_4
| spl13_62 ),
inference(subsumption_resolution,[],[f1411,f1073]) ).
fof(f1411,plain,
( ~ aElement0(sK6(sz00))
| ~ aSet0(szNzAzT0)
| spl13_62 ),
inference(resolution,[],[f1405,f294]) ).
fof(f1405,plain,
( ~ aSet0(sdtpldt0(szNzAzT0,sK6(sz00)))
| spl13_62 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1403,plain,
( spl13_62
<=> aSet0(sdtpldt0(szNzAzT0,sK6(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f1410,plain,
( ~ spl13_62
| ~ spl13_63
| ~ spl13_3
| ~ spl13_4
| ~ spl13_6
| spl13_25 ),
inference(avatar_split_clause,[],[f1352,f842,f473,f454,f450,f1407,f1403]) ).
fof(f1407,plain,
( spl13_63
<=> isFinite0(sdtpldt0(szNzAzT0,sK6(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f842,plain,
( spl13_25
<=> aElementOf0(sK6(sK3),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f1352,plain,
( ~ isFinite0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ aSet0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ spl13_3
| ~ spl13_4
| ~ spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f1351,f1073]) ).
fof(f1351,plain,
( ~ isFinite0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ aSet0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ aElement0(sK6(sz00))
| ~ spl13_3
| ~ spl13_4
| ~ spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f1347,f307]) ).
fof(f1347,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ aSet0(sdtpldt0(szNzAzT0,sK6(sz00)))
| ~ aElement0(sK6(sz00))
| ~ spl13_3
| ~ spl13_4
| ~ spl13_6
| spl13_25 ),
inference(superposition,[],[f209,f1319]) ).
fof(f1319,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK6(sz00)),sK6(sz00))
| ~ spl13_3
| ~ spl13_4
| ~ spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f1318,f1073]) ).
fof(f1318,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK6(sz00)),sK6(sz00))
| ~ aElement0(sK6(sz00))
| ~ spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f1294,f204]) ).
fof(f1294,plain,
( szNzAzT0 = sdtmndt0(sdtpldt0(szNzAzT0,sK6(sz00)),sK6(sz00))
| ~ aSet0(szNzAzT0)
| ~ aElement0(sK6(sz00))
| ~ spl13_6
| spl13_25 ),
inference(resolution,[],[f248,f1084]) ).
fof(f1084,plain,
( ~ aElementOf0(sK6(sz00),szNzAzT0)
| ~ spl13_6
| spl13_25 ),
inference(forward_demodulation,[],[f844,f475]) ).
fof(f844,plain,
( ~ aElementOf0(sK6(sK3),szNzAzT0)
| spl13_25 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1400,plain,
( ~ spl13_60
| spl13_61
| ~ spl13_4
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f1391,f1331,f454,f1397,f1393]) ).
fof(f1393,plain,
( spl13_60
<=> isCountable0(sdtpldt0(xS,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f1331,plain,
( spl13_58
<=> aSet0(sdtpldt0(xS,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f1391,plain,
( isCountable0(xS)
| ~ isCountable0(sdtpldt0(xS,sz00))
| ~ spl13_4
| ~ spl13_58 ),
inference(subsumption_resolution,[],[f1329,f1332]) ).
fof(f1332,plain,
( aSet0(sdtpldt0(xS,sz00))
| ~ spl13_58 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1329,plain,
( isCountable0(xS)
| ~ isCountable0(sdtpldt0(xS,sz00))
| ~ aSet0(sdtpldt0(xS,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1324,f310]) ).
fof(f1324,plain,
( isCountable0(xS)
| ~ isCountable0(sdtpldt0(xS,sz00))
| ~ aSet0(sdtpldt0(xS,sz00))
| ~ aElement0(sz00)
| ~ spl13_4 ),
inference(superposition,[],[f207,f1317]) ).
fof(f1317,plain,
( xS = sdtmndt0(sdtpldt0(xS,sz00),sz00)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1316,f456]) ).
fof(f1342,plain,
spl13_58,
inference(avatar_contradiction_clause,[],[f1341]) ).
fof(f1341,plain,
( $false
| spl13_58 ),
inference(subsumption_resolution,[],[f1340,f186]) ).
fof(f1340,plain,
( ~ aSet0(xS)
| spl13_58 ),
inference(subsumption_resolution,[],[f1339,f310]) ).
fof(f1339,plain,
( ~ aElement0(sz00)
| ~ aSet0(xS)
| spl13_58 ),
inference(resolution,[],[f1333,f294]) ).
fof(f1333,plain,
( ~ aSet0(sdtpldt0(xS,sz00))
| spl13_58 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1338,plain,
( ~ spl13_58
| ~ spl13_59
| ~ spl13_4
| spl13_35 ),
inference(avatar_split_clause,[],[f1328,f957,f454,f1335,f1331]) ).
fof(f1335,plain,
( spl13_59
<=> isFinite0(sdtpldt0(xS,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f1328,plain,
( ~ isFinite0(sdtpldt0(xS,sz00))
| ~ aSet0(sdtpldt0(xS,sz00))
| ~ spl13_4
| spl13_35 ),
inference(subsumption_resolution,[],[f1327,f310]) ).
fof(f1327,plain,
( ~ isFinite0(sdtpldt0(xS,sz00))
| ~ aSet0(sdtpldt0(xS,sz00))
| ~ aElement0(sz00)
| ~ spl13_4
| spl13_35 ),
inference(subsumption_resolution,[],[f1323,f959]) ).
fof(f1323,plain,
( isFinite0(xS)
| ~ isFinite0(sdtpldt0(xS,sz00))
| ~ aSet0(sdtpldt0(xS,sz00))
| ~ aElement0(sz00)
| ~ spl13_4 ),
inference(superposition,[],[f209,f1317]) ).
fof(f1274,plain,
spl13_56,
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1273,plain,
( $false
| spl13_56 ),
inference(subsumption_resolution,[],[f1272,f189]) ).
fof(f1272,plain,
( ~ aSet0(xT)
| spl13_56 ),
inference(subsumption_resolution,[],[f1271,f327]) ).
fof(f1271,plain,
( ~ aElement0(szmzizndt0(xT))
| ~ aSet0(xT)
| spl13_56 ),
inference(resolution,[],[f1265,f291]) ).
fof(f1265,plain,
( ~ aSet0(sdtmndt0(xT,szmzizndt0(xT)))
| spl13_56 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl13_56
<=> aSet0(sdtmndt0(xT,szmzizndt0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f1270,plain,
( ~ spl13_56
| ~ spl13_57
| spl13_33 ),
inference(avatar_split_clause,[],[f1259,f917,f1267,f1263]) ).
fof(f1267,plain,
( spl13_57
<=> isFinite0(sdtmndt0(xT,szmzizndt0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f1259,plain,
( ~ isFinite0(sdtmndt0(xT,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xT)))
| spl13_33 ),
inference(subsumption_resolution,[],[f1258,f327]) ).
fof(f1258,plain,
( ~ isFinite0(sdtmndt0(xT,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT))
| spl13_33 ),
inference(subsumption_resolution,[],[f1254,f919]) ).
fof(f1254,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,szmzizndt0(xT)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xT)))
| ~ aElement0(szmzizndt0(xT)) ),
inference(superposition,[],[f208,f635]) ).
fof(f1247,plain,
spl13_54,
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| spl13_54 ),
inference(subsumption_resolution,[],[f1245,f189]) ).
fof(f1245,plain,
( ~ aSet0(xT)
| spl13_54 ),
inference(subsumption_resolution,[],[f1244,f324]) ).
fof(f1244,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ aSet0(xT)
| spl13_54 ),
inference(resolution,[],[f1238,f291]) ).
fof(f1238,plain,
( ~ aSet0(sdtmndt0(xT,szmzizndt0(xS)))
| spl13_54 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl13_54
<=> aSet0(sdtmndt0(xT,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f1243,plain,
( ~ spl13_54
| ~ spl13_55
| spl13_33 ),
inference(avatar_split_clause,[],[f1232,f917,f1240,f1236]) ).
fof(f1240,plain,
( spl13_55
<=> isFinite0(sdtmndt0(xT,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f1232,plain,
( ~ isFinite0(sdtmndt0(xT,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xS)))
| spl13_33 ),
inference(subsumption_resolution,[],[f1231,f324]) ).
fof(f1231,plain,
( ~ isFinite0(sdtmndt0(xT,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS))
| spl13_33 ),
inference(subsumption_resolution,[],[f1227,f919]) ).
fof(f1227,plain,
( isFinite0(xT)
| ~ isFinite0(sdtmndt0(xT,szmzizndt0(xS)))
| ~ aSet0(sdtmndt0(xT,szmzizndt0(xS)))
| ~ aElement0(szmzizndt0(xS)) ),
inference(superposition,[],[f208,f633]) ).
fof(f1200,plain,
( spl13_52
| spl13_53
| ~ spl13_50 ),
inference(avatar_split_clause,[],[f1173,f1130,f1197,f1193]) ).
fof(f1193,plain,
( spl13_52
<=> aElement0(sK6(sK6(szmzizndt0(xS)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f1197,plain,
( spl13_53
<=> sz00 = sK6(szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f1130,plain,
( spl13_50
<=> aElementOf0(sK6(szmzizndt0(xS)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f1173,plain,
( sz00 = sK6(szmzizndt0(xS))
| aElement0(sK6(sK6(szmzizndt0(xS))))
| ~ spl13_50 ),
inference(resolution,[],[f1131,f433]) ).
fof(f1131,plain,
( aElementOf0(sK6(szmzizndt0(xS)),szNzAzT0)
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1169,plain,
( ~ spl13_4
| ~ spl13_10 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl13_4
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f1167,f188]) ).
fof(f1167,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl13_4
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f1166,f193]) ).
fof(f1166,plain,
( slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl13_4
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f1158,f460]) ).
fof(f1158,plain,
( aElementOf0(sz00,xS)
| slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ spl13_10 ),
inference(superposition,[],[f286,f493]) ).
fof(f493,plain,
( sz00 = szmzizndt0(xS)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl13_10
<=> sz00 = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1165,plain,
( ~ spl13_4
| ~ spl13_10
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1164,plain,
( $false
| ~ spl13_4
| ~ spl13_10
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f1151,f763]) ).
fof(f763,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl13_24
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1151,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl13_4
| ~ spl13_10 ),
inference(superposition,[],[f459,f493]) ).
fof(f459,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ~ spl13_4 ),
inference(superposition,[],[f184,f456]) ).
fof(f1163,plain,
( ~ spl13_4
| ~ spl13_10
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl13_4
| ~ spl13_10
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f1161,f763]) ).
fof(f1161,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl13_4
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1146,f456]) ).
fof(f1146,plain,
( ~ sdtlseqdt0(sz00,sK2)
| ~ spl13_10 ),
inference(superposition,[],[f184,f493]) ).
fof(f1160,plain,
( ~ spl13_4
| ~ spl13_10 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl13_4
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f1144,f460]) ).
fof(f1144,plain,
( aElementOf0(sz00,xS)
| ~ spl13_10 ),
inference(superposition,[],[f181,f493]) ).
fof(f1141,plain,
( spl13_10
| spl13_50 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| spl13_10
| spl13_50 ),
inference(subsumption_resolution,[],[f1139,f299]) ).
fof(f1139,plain,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| spl13_10
| spl13_50 ),
inference(subsumption_resolution,[],[f1138,f492]) ).
fof(f492,plain,
( sz00 != szmzizndt0(xS)
| spl13_10 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1138,plain,
( sz00 = szmzizndt0(xS)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| spl13_50 ),
inference(resolution,[],[f1132,f231]) ).
fof(f1132,plain,
( ~ aElementOf0(sK6(szmzizndt0(xS)),szNzAzT0)
| spl13_50 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1137,plain,
( ~ spl13_50
| spl13_51
| spl13_10 ),
inference(avatar_split_clause,[],[f672,f491,f1134,f1130]) ).
fof(f1134,plain,
( spl13_51
<=> sdtlseqdt0(sK6(szmzizndt0(xS)),szmzizndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f672,plain,
( sdtlseqdt0(sK6(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(sK6(szmzizndt0(xS)),szNzAzT0)
| spl13_10 ),
inference(superposition,[],[f228,f583]) ).
fof(f583,plain,
( szmzizndt0(xS) = szszuzczcdt0(sK6(szmzizndt0(xS)))
| spl13_10 ),
inference(subsumption_resolution,[],[f572,f492]) ).
fof(f1128,plain,
( spl13_48
| spl13_49
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f877,f864,f1125,f1121]) ).
fof(f1121,plain,
( spl13_48
<=> aElement0(sK6(sK6(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f1125,plain,
( spl13_49
<=> sz00 = sK6(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f864,plain,
( spl13_27
<=> aElementOf0(sK6(sK4),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f877,plain,
( sz00 = sK6(sK4)
| aElement0(sK6(sK6(sK4)))
| ~ spl13_27 ),
inference(resolution,[],[f865,f433]) ).
fof(f865,plain,
( aElementOf0(sK6(sK4),szNzAzT0)
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1105,plain,
( ~ spl13_46
| spl13_47 ),
inference(avatar_split_clause,[],[f1083,f1102,f1098]) ).
fof(f1098,plain,
( spl13_46
<=> aSubsetOf0(szNzAzT0,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f1102,plain,
( spl13_47
<=> szNzAzT0 = xT ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f1096,plain,
( ~ spl13_44
| spl13_45 ),
inference(avatar_split_clause,[],[f1082,f1093,f1089]) ).
fof(f1089,plain,
( spl13_44
<=> aSubsetOf0(szNzAzT0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1093,plain,
( spl13_45
<=> szNzAzT0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f1071,plain,
( ~ spl13_6
| ~ spl13_24
| spl13_26 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl13_6
| ~ spl13_24
| spl13_26 ),
inference(subsumption_resolution,[],[f1065,f763]) ).
fof(f1065,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl13_6
| spl13_26 ),
inference(superposition,[],[f848,f475]) ).
fof(f848,plain,
( ~ sdtlseqdt0(sK3,sz00)
| spl13_26 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl13_26
<=> sdtlseqdt0(sK3,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f1069,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6 ),
inference(subsumption_resolution,[],[f1062,f464]) ).
fof(f464,plain,
( ~ aElement0(sK6(sz00))
| spl13_3
| ~ spl13_4 ),
inference(superposition,[],[f451,f456]) ).
fof(f451,plain,
( ~ aElement0(sK6(sK2))
| spl13_3 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1062,plain,
( aElement0(sK6(sz00))
| ~ spl13_5
| ~ spl13_6 ),
inference(superposition,[],[f471,f475]) ).
fof(f471,plain,
( aElement0(sK6(sK3))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl13_5
<=> aElement0(sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f1057,plain,
( spl13_42
| spl13_43
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f857,f842,f1054,f1050]) ).
fof(f1050,plain,
( spl13_42
<=> aElement0(sK6(sK6(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f1054,plain,
( spl13_43
<=> sz00 = sK6(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f857,plain,
( sz00 = sK6(sK3)
| aElement0(sK6(sK6(sK3)))
| ~ spl13_25 ),
inference(resolution,[],[f843,f433]) ).
fof(f843,plain,
( aElementOf0(sK6(sK3),szNzAzT0)
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1047,plain,
spl13_40,
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1046,plain,
( $false
| spl13_40 ),
inference(subsumption_resolution,[],[f1045,f204]) ).
fof(f1045,plain,
( ~ aSet0(szNzAzT0)
| spl13_40 ),
inference(subsumption_resolution,[],[f1044,f334]) ).
fof(f1044,plain,
( ~ aElement0(sK4)
| ~ aSet0(szNzAzT0)
| spl13_40 ),
inference(resolution,[],[f1038,f291]) ).
fof(f1038,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sK4))
| spl13_40 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl13_40
<=> aSet0(sdtmndt0(szNzAzT0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1043,plain,
( ~ spl13_40
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f840,f1040,f1036]) ).
fof(f1040,plain,
( spl13_41
<=> isFinite0(sdtmndt0(szNzAzT0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f1033,plain,
spl13_38,
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1032,plain,
( $false
| spl13_38 ),
inference(subsumption_resolution,[],[f1031,f204]) ).
fof(f1031,plain,
( ~ aSet0(szNzAzT0)
| spl13_38 ),
inference(subsumption_resolution,[],[f1030,f332]) ).
fof(f1030,plain,
( ~ aElement0(sK3)
| ~ aSet0(szNzAzT0)
| spl13_38 ),
inference(resolution,[],[f1023,f291]) ).
fof(f1023,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sK3))
| spl13_38 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl13_38
<=> aSet0(sdtmndt0(szNzAzT0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f1028,plain,
( ~ spl13_38
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f831,f1025,f1021]) ).
fof(f1025,plain,
( spl13_39
<=> isFinite0(sdtmndt0(szNzAzT0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f1004,plain,
spl13_36,
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| spl13_36 ),
inference(subsumption_resolution,[],[f1002,f204]) ).
fof(f1002,plain,
( ~ aSet0(szNzAzT0)
| spl13_36 ),
inference(subsumption_resolution,[],[f1001,f324]) ).
fof(f1001,plain,
( ~ aElement0(szmzizndt0(xS))
| ~ aSet0(szNzAzT0)
| spl13_36 ),
inference(resolution,[],[f995,f291]) ).
fof(f995,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS)))
| spl13_36 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f993,plain,
( spl13_36
<=> aSet0(sdtmndt0(szNzAzT0,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f1000,plain,
( ~ spl13_36
| ~ spl13_37 ),
inference(avatar_split_clause,[],[f724,f997,f993]) ).
fof(f997,plain,
( spl13_37
<=> isFinite0(sdtmndt0(szNzAzT0,szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f960,plain,
( spl13_34
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f951,f957,f953]) ).
fof(f953,plain,
( spl13_34
<=> aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f927,plain,
spl13_32,
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| spl13_32 ),
inference(subsumption_resolution,[],[f925,f189]) ).
fof(f925,plain,
( ~ aSet0(xT)
| spl13_32 ),
inference(subsumption_resolution,[],[f924,f310]) ).
fof(f924,plain,
( ~ aElement0(sz00)
| ~ aSet0(xT)
| spl13_32 ),
inference(resolution,[],[f915,f291]) ).
fof(f915,plain,
( ~ aSet0(sdtmndt0(xT,sz00))
| spl13_32 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl13_32
<=> aSet0(sdtmndt0(xT,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f920,plain,
( ~ spl13_31
| ~ spl13_32
| ~ spl13_33
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f665,f454,f917,f913,f909]) ).
fof(f909,plain,
( spl13_31
<=> isCountable0(sdtmndt0(xT,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f665,plain,
( ~ isFinite0(xT)
| ~ aSet0(sdtmndt0(xT,sz00))
| ~ isCountable0(sdtmndt0(xT,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f659,f310]) ).
fof(f659,plain,
( ~ isFinite0(xT)
| ~ aSet0(sdtmndt0(xT,sz00))
| ~ aElement0(sz00)
| ~ isCountable0(sdtmndt0(xT,sz00))
| ~ spl13_4 ),
inference(superposition,[],[f428,f639]) ).
fof(f639,plain,
( xT = sdtpldt0(sdtmndt0(xT,sz00),sz00)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f638,f456]) ).
fof(f899,plain,
( spl13_2
| spl13_29 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| spl13_2
| spl13_29 ),
inference(subsumption_resolution,[],[f897,f204]) ).
fof(f897,plain,
( ~ aSet0(szNzAzT0)
| spl13_2
| spl13_29 ),
inference(subsumption_resolution,[],[f896,f384]) ).
fof(f896,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| spl13_29 ),
inference(resolution,[],[f886,f247]) ).
fof(f886,plain,
( ~ aElementOf0(sK9(szNzAzT0),szNzAzT0)
| spl13_29 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f895,plain,
( spl13_2
| spl13_30 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| spl13_2
| spl13_30 ),
inference(subsumption_resolution,[],[f893,f384]) ).
fof(f893,plain,
( slcrc0 = szNzAzT0
| spl13_30 ),
inference(subsumption_resolution,[],[f892,f204]) ).
fof(f892,plain,
( ~ aSet0(szNzAzT0)
| slcrc0 = szNzAzT0
| spl13_30 ),
inference(resolution,[],[f889,f366]) ).
fof(f889,plain,
( ~ aElement0(sK9(szNzAzT0))
| spl13_30 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl13_30
<=> aElement0(sK9(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f891,plain,
( ~ spl13_29
| spl13_30
| spl13_2
| spl13_20 ),
inference(avatar_split_clause,[],[f753,f549,f383,f888,f884]) ).
fof(f753,plain,
( aElement0(sK9(szNzAzT0))
| ~ aElementOf0(sK9(szNzAzT0),szNzAzT0)
| spl13_2
| spl13_20 ),
inference(subsumption_resolution,[],[f745,f550]) ).
fof(f745,plain,
( aElement0(sK9(szNzAzT0))
| ~ aElementOf0(sK9(szNzAzT0),szNzAzT0)
| sz00 = sK9(szNzAzT0)
| spl13_2
| spl13_20 ),
inference(superposition,[],[f431,f593]) ).
fof(f875,plain,
( spl13_8
| spl13_27 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| spl13_8
| spl13_27 ),
inference(subsumption_resolution,[],[f873,f301]) ).
fof(f873,plain,
( ~ aElementOf0(sK4,szNzAzT0)
| spl13_8
| spl13_27 ),
inference(subsumption_resolution,[],[f872,f483]) ).
fof(f483,plain,
( sz00 != sK4
| spl13_8 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl13_8
<=> sz00 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f872,plain,
( sz00 = sK4
| ~ aElementOf0(sK4,szNzAzT0)
| spl13_27 ),
inference(resolution,[],[f866,f231]) ).
fof(f866,plain,
( ~ aElementOf0(sK6(sK4),szNzAzT0)
| spl13_27 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f871,plain,
( ~ spl13_27
| ~ spl13_28
| spl13_8 ),
inference(avatar_split_clause,[],[f651,f482,f868,f864]) ).
fof(f868,plain,
( spl13_28
<=> sdtlseqdt0(sK4,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f651,plain,
( ~ sdtlseqdt0(sK4,sz00)
| ~ aElementOf0(sK6(sK4),szNzAzT0)
| spl13_8 ),
inference(superposition,[],[f227,f588]) ).
fof(f588,plain,
( sK4 = szszuzczcdt0(sK6(sK4))
| spl13_8 ),
inference(subsumption_resolution,[],[f577,f483]) ).
fof(f577,plain,
( sz00 = sK4
| sK4 = szszuzczcdt0(sK6(sK4)) ),
inference(resolution,[],[f232,f301]) ).
fof(f855,plain,
( spl13_6
| spl13_25 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f853,f305]) ).
fof(f853,plain,
( ~ aElementOf0(sK3,szNzAzT0)
| spl13_6
| spl13_25 ),
inference(subsumption_resolution,[],[f852,f474]) ).
fof(f474,plain,
( sz00 != sK3
| spl13_6 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f852,plain,
( sz00 = sK3
| ~ aElementOf0(sK3,szNzAzT0)
| spl13_25 ),
inference(resolution,[],[f844,f231]) ).
fof(f849,plain,
( ~ spl13_25
| ~ spl13_26
| spl13_6 ),
inference(avatar_split_clause,[],[f596,f473,f846,f842]) ).
fof(f596,plain,
( ~ sdtlseqdt0(sK3,sz00)
| ~ aElementOf0(sK6(sK3),szNzAzT0)
| spl13_6 ),
inference(superposition,[],[f227,f587]) ).
fof(f587,plain,
( sK3 = szszuzczcdt0(sK6(sK3))
| spl13_6 ),
inference(subsumption_resolution,[],[f576,f474]) ).
fof(f767,plain,
spl13_23,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| spl13_23 ),
inference(subsumption_resolution,[],[f765,f288]) ).
fof(f765,plain,
( ~ aSet0(slcrc0)
| spl13_23 ),
inference(resolution,[],[f759,f211]) ).
fof(f759,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| spl13_23 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl13_23
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f764,plain,
( ~ spl13_23
| spl13_24 ),
inference(avatar_split_clause,[],[f755,f761,f757]) ).
fof(f700,plain,
spl13_21,
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| spl13_21 ),
inference(subsumption_resolution,[],[f698,f204]) ).
fof(f698,plain,
( ~ aSet0(szNzAzT0)
| spl13_21 ),
inference(subsumption_resolution,[],[f697,f310]) ).
fof(f697,plain,
( ~ aElement0(sz00)
| ~ aSet0(szNzAzT0)
| spl13_21 ),
inference(resolution,[],[f691,f291]) ).
fof(f691,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| spl13_21 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f696,plain,
( ~ spl13_21
| ~ spl13_22
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f687,f454,f693,f689]) ).
fof(f693,plain,
( spl13_22
<=> isFinite0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f687,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f686,f310]) ).
fof(f686,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00)
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f682,f307]) ).
fof(f682,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00)
| ~ spl13_4 ),
inference(superposition,[],[f208,f641]) ).
fof(f552,plain,
( spl13_19
| spl13_20
| spl13_2 ),
inference(avatar_split_clause,[],[f448,f383,f549,f545]) ).
fof(f545,plain,
( spl13_19
<=> aElement0(sK6(sK9(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f448,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK6(sK9(szNzAzT0)))
| spl13_2 ),
inference(subsumption_resolution,[],[f447,f204]) ).
fof(f447,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK6(sK9(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl13_2 ),
inference(subsumption_resolution,[],[f445,f384]) ).
fof(f445,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK6(sK9(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f433,f247]) ).
fof(f543,plain,
( spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f444,f540,f536]) ).
fof(f536,plain,
( spl13_17
<=> aElement0(sK6(sK9(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f540,plain,
( spl13_18
<=> sz00 = sK9(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f534,plain,
( spl13_15
| spl13_16 ),
inference(avatar_split_clause,[],[f443,f531,f527]) ).
fof(f527,plain,
( spl13_15
<=> aElement0(sK6(sK9(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f531,plain,
( spl13_16
<=> sz00 = sK9(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f523,plain,
spl13_14,
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl13_14 ),
inference(subsumption_resolution,[],[f521,f204]) ).
fof(f521,plain,
( ~ aSet0(szNzAzT0)
| spl13_14 ),
inference(resolution,[],[f519,f211]) ).
fof(f519,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_14 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f520,plain,
( spl13_13
| ~ spl13_14
| spl13_2 ),
inference(avatar_split_clause,[],[f511,f383,f517,f513]) ).
fof(f513,plain,
( spl13_13
<=> aElement0(szszuzczcdt0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f511,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElement0(szszuzczcdt0(szmzizndt0(szNzAzT0)))
| spl13_2 ),
inference(subsumption_resolution,[],[f507,f384]) ).
fof(f507,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aElement0(szszuzczcdt0(szmzizndt0(szNzAzT0))) ),
inference(resolution,[],[f286,f341]) ).
fof(f503,plain,
( spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f438,f500,f496]) ).
fof(f496,plain,
( spl13_11
<=> aElement0(sK6(szmzizndt0(xT))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f494,plain,
( spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f437,f491,f487]) ).
fof(f487,plain,
( spl13_9
<=> aElement0(sK6(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f485,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f441,f482,f478]) ).
fof(f478,plain,
( spl13_7
<=> aElement0(sK6(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f476,plain,
( spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f440,f473,f469]) ).
fof(f457,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f439,f454,f450]) ).
fof(f426,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f403,f287]) ).
fof(f403,plain,
( aElementOf0(sK9(xT),slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f371,f385]) ).
fof(f385,plain,
( slcrc0 = szNzAzT0
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f424,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f402,f287]) ).
fof(f402,plain,
( aElementOf0(sK9(xS),slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f369,f385]) ).
fof(f422,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f400,f202]) ).
fof(f400,plain,
( ~ isFinite0(slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f307,f385]) ).
fof(f420,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f399,f287]) ).
fof(f399,plain,
( aElementOf0(sK3,slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f305,f385]) ).
fof(f418,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f398,f287]) ).
fof(f398,plain,
( aElementOf0(sK2,slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f304,f385]) ).
fof(f416,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f397,f287]) ).
fof(f397,plain,
( aElementOf0(sK4,slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f301,f385]) ).
fof(f414,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f396,f287]) ).
fof(f396,plain,
( aElementOf0(szmzizndt0(xT),slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f300,f385]) ).
fof(f412,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f395,f287]) ).
fof(f395,plain,
( aElementOf0(szmzizndt0(xS),slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f299,f385]) ).
fof(f407,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f391,f297]) ).
fof(f391,plain,
( isCountable0(slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f205,f385]) ).
fof(f405,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f389,f287]) ).
fof(f389,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f203,f385]) ).
fof(f386,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f367,f383,f379]) ).
fof(f379,plain,
( spl13_1
<=> aElement0(szszuzczcdt0(sK9(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM539+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:48:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28929)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28932)WARNING: value z3 for option sas not known
% 0.22/0.38 % (28933)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (28930)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (28932)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (28931)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (28936)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 % (28935)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (28934)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.45 TRYING [5]
% 0.22/0.45 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [4]
% 0.22/0.48 % (28932)First to succeed.
% 0.22/0.49 % (28932)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28929"
% 0.22/0.49 % (28932)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (28932)------------------------------
% 0.22/0.50 % (28932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50 % (28932)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (28932)Memory used [KB]: 2018
% 0.22/0.50 % (28932)Time elapsed: 0.117 s
% 0.22/0.50 % (28932)Instructions burned: 204 (million)
% 0.22/0.50 % (28929)Success in time 0.14 s
%------------------------------------------------------------------------------