TSTP Solution File: NUM574+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM574+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 08:38:45 EDT 2024
% Result : Theorem 0.14s 0.51s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 205
% Syntax : Number of formulae : 1590 ( 123 unt; 0 def)
% Number of atoms : 5960 ( 905 equ)
% Maximal formula atoms : 41 ( 3 avg)
% Number of connectives : 7324 (2954 ~;3138 |; 875 &)
% ( 165 <=>; 192 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 107 ( 105 usr; 75 prp; 0-4 aty)
% Number of functors : 56 ( 56 usr; 12 con; 0-4 aty)
% Number of variables : 2062 (1907 !; 155 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3086,plain,
$false,
inference(avatar_sat_refutation,[],[f694,f700,f710,f733,f736,f819,f884,f893,f912,f925,f929,f982,f985,f1006,f1015,f1019,f1077,f1086,f1095,f1107,f1125,f1127,f1171,f1209,f1211,f1213,f1215,f1218,f1220,f1229,f1232,f1264,f1292,f1295,f1320,f1405,f1408,f1502,f1539,f1563,f1566,f1570,f1574,f1583,f1604,f1635,f1639,f1642,f1705,f1708,f1712,f1716,f1867,f1894,f1897,f1907,f1911,f1950,f1952,f2057,f2185,f2189,f2255,f2405,f2409,f2419,f2467,f2528,f2532,f2541,f2548,f2595,f2597,f2601,f2604,f2657,f2660,f2912,f2963,f3059,f3077,f3085]) ).
fof(f3085,plain,
( ~ spl53_24
| ~ spl53_26
| ~ spl53_40 ),
inference(avatar_contradiction_clause,[],[f3084]) ).
fof(f3084,plain,
( $false
| ~ spl53_24
| ~ spl53_26
| ~ spl53_40 ),
inference(subsumption_resolution,[],[f3083,f1940]) ).
fof(f1940,plain,
( aElementOf0(sz00,xS)
| ~ spl53_26
| ~ spl53_40 ),
inference(forward_demodulation,[],[f1939,f409]) ).
fof(f409,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK25(X0),szNzAzT0)
& aElementOf0(sK25(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f214,f255]) ).
fof(f255,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK25(X0),szNzAzT0)
& aElementOf0(sK25(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
( ! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f104,f213,f212]) ).
fof(f212,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f213,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f104,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f1939,plain,
( aElementOf0(sz00,sdtlpdtrp0(xN,sz00))
| ~ spl53_26
| ~ spl53_40 ),
inference(forward_demodulation,[],[f1914,f1094]) ).
fof(f1094,plain,
( sz00 = xi
| ~ spl53_26 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1092,plain,
( spl53_26
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl53_26])]) ).
fof(f1914,plain,
( aElementOf0(sz00,sdtlpdtrp0(xN,xi))
| ~ spl53_40 ),
inference(superposition,[],[f374,f1538]) ).
fof(f1538,plain,
( sz00 = sK22
| ~ spl53_40 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl53_40
<=> sz00 = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_40])]) ).
fof(f374,plain,
aElementOf0(sK22,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ~ aElementOf0(sK22,sdtlpdtrp0(xN,xj))
& aElementOf0(sK22,sdtlpdtrp0(xN,xi))
& sdtlseqdt0(xj,xi) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f100,f243]) ).
fof(f243,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
=> ( ~ aElementOf0(sK22,sdtlpdtrp0(xN,xj))
& aElementOf0(sK22,sdtlpdtrp0(xN,xi)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& sdtlseqdt0(xj,xi) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f3083,plain,
( ~ aElementOf0(sz00,xS)
| ~ spl53_24
| ~ spl53_40 ),
inference(forward_demodulation,[],[f3073,f409]) ).
fof(f3073,plain,
( ~ aElementOf0(sz00,sdtlpdtrp0(xN,sz00))
| ~ spl53_24
| ~ spl53_40 ),
inference(superposition,[],[f2665,f1085]) ).
fof(f1085,plain,
( sz00 = xj
| ~ spl53_24 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1083,plain,
( spl53_24
<=> sz00 = xj ),
introduced(avatar_definition,[new_symbols(naming,[spl53_24])]) ).
fof(f2665,plain,
( ~ aElementOf0(sz00,sdtlpdtrp0(xN,xj))
| ~ spl53_40 ),
inference(superposition,[],[f375,f1538]) ).
fof(f375,plain,
~ aElementOf0(sK22,sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f244]) ).
fof(f3077,plain,
( ~ spl53_24
| ~ spl53_26 ),
inference(avatar_contradiction_clause,[],[f3076]) ).
fof(f3076,plain,
( $false
| ~ spl53_24
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f3075,f1880]) ).
fof(f1880,plain,
( aElementOf0(sK22,xS)
| ~ spl53_26 ),
inference(forward_demodulation,[],[f1869,f409]) ).
fof(f1869,plain,
( aElementOf0(sK22,sdtlpdtrp0(xN,sz00))
| ~ spl53_26 ),
inference(superposition,[],[f374,f1094]) ).
fof(f3075,plain,
( ~ aElementOf0(sK22,xS)
| ~ spl53_24 ),
inference(forward_demodulation,[],[f3061,f409]) ).
fof(f3061,plain,
( ~ aElementOf0(sK22,sdtlpdtrp0(xN,sz00))
| ~ spl53_24 ),
inference(superposition,[],[f375,f1085]) ).
fof(f3059,plain,
( spl53_24
| ~ spl53_26 ),
inference(avatar_contradiction_clause,[],[f3058]) ).
fof(f3058,plain,
( $false
| spl53_24
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f3057,f421]) ).
fof(f421,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f3057,plain,
( ~ aElementOf0(xj,szNzAzT0)
| spl53_24
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f3056,f1084]) ).
fof(f1084,plain,
( sz00 != xj
| spl53_24 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f3056,plain,
( sz00 = xj
| ~ aElementOf0(xj,szNzAzT0)
| spl53_24
| ~ spl53_26 ),
inference(resolution,[],[f3055,f525]) ).
fof(f525,plain,
! [X0] :
( aElementOf0(sK41(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( ( szszuzczcdt0(sK41(X0)) = X0
& aElementOf0(sK41(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f151,f314]) ).
fof(f314,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK41(X0)) = X0
& aElementOf0(sK41(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f150]) ).
fof(f150,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/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f3055,plain,
( ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24
| ~ spl53_26 ),
inference(global_subsumption,[],[f378,f386,f385,f401,f400,f406,f622,f404,f403,f412,f411,f410,f654,f653,f656,f432,f431,f430,f429,f441,f438,f445,f623,f624,f625,f626,f449,f448,f454,f453,f452,f451,f461,f460,f464,f463,f472,f628,f629,f477,f489,f488,f487,f485,f492,f496,f495,f494,f493,f632,f510,f535,f534,f533,f537,f539,f634,f544,f548,f547,f635,f554,f553,f637,f567,f566,f565,f642,f569,f577,f657,f576,f575,f574,f571,f580,f588,f587,f658,f586,f585,f584,f591,f592,f594,f593,f597,f596,f595,f606,f605,f604,f608,f609,f610,f611,f613,f612,f615,f614,f617,f616,f619,f620,f380,f407,f413,f414,f415,f418,f465,f468,f469,f640,f373,f377,f379,f417,f419,f421,f422,f466,f639,f374,f375,f408,f420,f398,f434,f435,f467,f659,f389,f409,f470,f501,f502,f529,f536,f376,f662,f663,f664,f665,f661,f381,f388,f394,f416,f447,f475,f483,f515,f516,f517,f542,f669,f670,f561,f600,f671,f673,f633,f676,f674,f383,f425,f428,f655,f684,f399,f685,f402,f433,f701,f455,f507,f717,f718,f719,f511,f720,f716,f518,f738,f519,f740,f520,f521,f742,f744,f523,f745,f748,f752,f754,f755,f750,f524,f568,f646,f682,f697,f751,f384,f427,f436,f763,f457,f476,f505,f506,f522,f774,f775,f776,f777,f778,f768,f607,f645,f648,f652,f799,f767,f393,f446,f810,f809,f458,f459,f480,f823,f822,f825,f490,f829,f828,f831,f503,f834,f835,f836,f528,f530,f541,f851,f549,f852,f854,f856,f557,f871,f865,f866,f867,f874,f873,f875,f570,f870,f581,f627,f908,f630,f909,f641,f913,f643,f649,f915,f914,f916,f797,f934,f843,f949,f907,f382,f952,f955,f956,f957,f959,f960,f962,f950,f964,f965,f966,f967,f968,f970,f971,f973,f853,f961,f395,f996,f997,f972,f491,f1036,f1037,f1041,f497,f498,f499,f500,f525,f1046,f1047,f1049,f1051,f1054,f1059,f1060,f531,f1064,f1056,f1057,f1084,f1058,f1063,f550,f1098,f558,f1147,f1149,f1152,f1153,f1156,f1148,f1172,f872,f582,f1145,f1235,f1146,f601,f1244,f638,f1247,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f644,f1276,f647,f1301,f1302,f1277,f1303,f773,f1323,f1324,f1330,f1331,f1326,f1340,f1341,f1342,f1343,f1328,f1347,f1348,f1349,f1350,f387,f1354,f1360,f1329,f1362,f1363,f1364,f1365,f1322,f1369,f1370,f1371,f1372,f1357,f1377,f1388,f1378,f1389,f1379,f1390,f1380,f1391,f1384,f1393,f1394,f1387,f390,f1442,f1441,f808,f1480,f1481,f1484,f1478,f1485,f426,f1506,f1511,f1512,f1510,f1518,f1517,f1516,f1521,f1526,f1514,f1513,f1541,f1543,f1544,f1546,f1545,f462,f397,f437,f1043,f1045,f1067,f1648,f1658,f1654,f951,f1673,f440,f1680,f1671,f1681,f1682,f1683,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1048,f456,f512,f1718,f1728,f1729,f1734,f1735,f526,f1751,f1739,f1746,f1747,f1754,f1787,f1788,f1790,f1791,f1794,f1796,f1801,f1803,f1756,f1825,f1826,f1827,f1828,f1829,f1830,f1833,f1834,f1835,f1840,f540,f1842,f1744,f1094,f1868,f1880,f1881,f562,f1898,f602,f1945,f650,f1988,f1989,f1990,f1994,f1995,f2011,f1997,f2002,f2003,f2004,f2016,f2006,f391,f2094,f2093,f621,f2108,f2109,f2110,f2112,f439,f2115,f2116,f2118,f2119,f2120,f2121,f474,f482,f508,f2228,f2203,f2229,f2230,f2231,f2233,f2239,f2241,f2243,f2219,f2223,f2224,f2250,f2252,f509,f2280,f2281,f2285,f2286,f2321,f2288,f2293,f2294,f2295,f2324,f2297,f2301,f2305,f2306,f2332,f2314,f2315,f2344,f2317,f2240,f513,f2443,f2442,f2445,f2446,f2447,f2448,f2449,f2450,f2451,f2452,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2444,f2483,f2479,f2480,f2484,f2481,f2485,f2486,f2487,f2489,f2490,f2492,f2493,f2496,f514,f538,f2620,f1745,f560,f563,f2718,f572,f2723,f599,f631,f2745,f636,f2767,f2768,f2777,f2789,f2790,f2791,f2792,f2782,f2793,f2794,f2795,f2796,f396,f471,f2903,f2888,f2235,f2933,f2935,f2236,f2942,f2944,f2237,f2951,f2953,f484,f2954,f2891,f2326,f2989,f2990,f2998,f3013,f532,f3047,f3048,f3049,f3050,f3043,f3045]) ).
fof(f3045,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(xj,X0)
| aElementOf0(sK41(xj),X1)
| ~ aElementOf0(sK41(xj),szNzAzT0)
| ~ sP14(X0,X1) )
| spl53_24 ),
inference(superposition,[],[f532,f1756]) ).
fof(f3043,plain,
! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(sK41(xK),X1)
| ~ aElementOf0(sK41(xK),szNzAzT0)
| ~ sP14(X0,X1) ),
inference(superposition,[],[f532,f1754]) ).
fof(f3050,plain,
! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ sP14(X0,X1) ),
inference(subsumption_resolution,[],[f3039,f419]) ).
fof(f3039,plain,
! [X0,X1] :
( ~ sdtlseqdt0(xK,X0)
| aElementOf0(xk,X1)
| ~ aElementOf0(xk,szNzAzT0)
| ~ sP14(X0,X1) ),
inference(superposition,[],[f532,f420]) ).
fof(f3049,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP14(szszuzczcdt0(szszuzczcdt0(X0)),X1) ),
inference(subsumption_resolution,[],[f3038,f523]) ).
fof(f3038,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP14(szszuzczcdt0(szszuzczcdt0(X0)),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[],[f532,f521]) ).
fof(f3048,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP14(szszuzczcdt0(X0),X1) ),
inference(subsumption_resolution,[],[f3037,f523]) ).
fof(f3037,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP14(szszuzczcdt0(X0),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[],[f532,f516]) ).
fof(f3047,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ sP14(X2,X1)
| ~ aElementOf0(X0,slbdtrb0(X2))
| ~ sP15(X2) ),
inference(subsumption_resolution,[],[f3036,f843]) ).
fof(f3036,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP14(X2,X1)
| ~ aElementOf0(X0,slbdtrb0(X2))
| ~ sP15(X2) ),
inference(resolution,[],[f532,f1067]) ).
fof(f532,plain,
! [X3,X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
| ~ aElementOf0(sK42(X0,X1),szNzAzT0)
| ~ aElementOf0(sK42(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
& aElementOf0(sK42(X0,X1),szNzAzT0) )
| aElementOf0(sK42(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP14(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f319,f320]) ).
fof(f320,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
| ~ aElementOf0(sK42(X0,X1),szNzAzT0)
| ~ aElementOf0(sK42(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
& aElementOf0(sK42(X0,X1),szNzAzT0) )
| aElementOf0(sK42(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP14(X0,X1) ) ),
inference(rectify,[],[f318]) ).
fof(f318,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP14(X0,X1) ) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP14(X0,X1) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( sP14(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f3013,plain,
~ aSubsetOf0(slbdtrb0(xK),slcrc0),
inference(subsumption_resolution,[],[f2997,f740]) ).
fof(f2997,plain,
( sdtlseqdt0(xK,sz00)
| ~ aSubsetOf0(slbdtrb0(xK),slcrc0) ),
inference(superposition,[],[f2326,f775]) ).
fof(f2998,plain,
( sdtlseqdt0(xk,sz00)
| ~ aSubsetOf0(slbdtrb0(xk),slcrc0) ),
inference(superposition,[],[f2326,f776]) ).
fof(f2990,plain,
( sdtlseqdt0(szszuzczcdt0(xj),sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),slcrc0) ),
inference(superposition,[],[f2326,f1328]) ).
fof(f2989,plain,
( sdtlseqdt0(szszuzczcdt0(xK),sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xK)),slcrc0) ),
inference(superposition,[],[f2326,f1326]) ).
fof(f2326,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(subsumption_resolution,[],[f2325,f640]) ).
fof(f2325,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(subsumption_resolution,[],[f2300,f465]) ).
fof(f2300,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f509,f671]) ).
fof(f2891,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN)) ),
inference(subsumption_resolution,[],[f2890,f469]) ).
fof(f2890,plain,
( ~ isCountable0(szNzAzT0)
| ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN)) ),
inference(forward_demodulation,[],[f2889,f408]) ).
fof(f2889,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szDzozmdt0(xN)) ),
inference(subsumption_resolution,[],[f2881,f407]) ).
fof(f2881,plain,
( ~ isFinite0(sdtlcdtrc0(xN,szNzAzT0))
| aElement0(szDzizrdt0(xN))
| ~ isCountable0(szDzozmdt0(xN))
| ~ aFunction0(xN) ),
inference(superposition,[],[f471,f408]) ).
fof(f2954,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| aElementOf0(sK37(X1,X2,X0),X2)
| ~ sP13(X2,X1) ),
inference(resolution,[],[f484,f630]) ).
fof(f484,plain,
! [X2,X0,X1,X6] :
( ~ sP12(X0,X1,X2)
| ~ aElementOf0(X6,X2)
| aElementOf0(sK37(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK35(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK35(X0,X1,X2),X2) )
& ( ( sK35(X0,X1,X2) = sdtlpdtrp0(X0,sK36(X0,X1,X2))
& aElementOf0(sK36(X0,X1,X2),X1) )
| aElementOf0(sK35(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK37(X0,X1,X6)) = X6
& aElementOf0(sK37(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP12(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37])],[f300,f303,f302,f301]) ).
fof(f301,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK35(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK35(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK35(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK35(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK35(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK35(X0,X1,X2) = sdtlpdtrp0(X0,sK36(X0,X1,X2))
& aElementOf0(sK36(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK37(X0,X1,X6)) = X6
& aElementOf0(sK37(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| ~ sP12(X0,X1,X2) ) ),
inference(rectify,[],[f299]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP12(X0,X1,X2) ) ),
inference(flattening,[],[f298]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ( sP12(X0,X1,X2)
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP12(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2] :
( sP12(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2953,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xj))
| ~ aSet0(sdtmndt0(szNzAzT0,xj)) ),
inference(subsumption_resolution,[],[f2952,f719]) ).
fof(f2952,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xj))
| ~ aSet0(sdtmndt0(szNzAzT0,xj))
| ~ aElement0(xj) ),
inference(subsumption_resolution,[],[f2949,f670]) ).
fof(f2949,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,xj))
| ~ aSet0(sdtmndt0(szNzAzT0,xj))
| ~ aElement0(xj) ),
inference(superposition,[],[f497,f2237]) ).
fof(f2951,plain,
( sP18(xj,sdtmndt0(szNzAzT0,xj),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xj)) ),
inference(subsumption_resolution,[],[f2947,f719]) ).
fof(f2947,plain,
( sP18(xj,sdtmndt0(szNzAzT0,xj),szNzAzT0)
| ~ aElement0(xj)
| ~ aSet0(sdtmndt0(szNzAzT0,xj)) ),
inference(superposition,[],[f644,f2237]) ).
fof(f2237,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xj),xj),
inference(subsumption_resolution,[],[f2212,f468]) ).
fof(f2212,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xj),xj)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f421]) ).
fof(f2944,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(subsumption_resolution,[],[f2943,f718]) ).
fof(f2943,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk))
| ~ aElement0(xk) ),
inference(subsumption_resolution,[],[f2940,f670]) ).
fof(f2940,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,xk))
| ~ aSet0(sdtmndt0(szNzAzT0,xk))
| ~ aElement0(xk) ),
inference(superposition,[],[f497,f2236]) ).
fof(f2942,plain,
( sP18(xk,sdtmndt0(szNzAzT0,xk),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(subsumption_resolution,[],[f2938,f718]) ).
fof(f2938,plain,
( sP18(xk,sdtmndt0(szNzAzT0,xk),szNzAzT0)
| ~ aElement0(xk)
| ~ aSet0(sdtmndt0(szNzAzT0,xk)) ),
inference(superposition,[],[f644,f2236]) ).
fof(f2236,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk),
inference(subsumption_resolution,[],[f2211,f468]) ).
fof(f2211,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xk),xk)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f419]) ).
fof(f2935,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xK))
| ~ aSet0(sdtmndt0(szNzAzT0,xK)) ),
inference(subsumption_resolution,[],[f2934,f717]) ).
fof(f2934,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,xK))
| ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ aElement0(xK) ),
inference(subsumption_resolution,[],[f2931,f670]) ).
fof(f2931,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,xK))
| ~ aSet0(sdtmndt0(szNzAzT0,xK))
| ~ aElement0(xK) ),
inference(superposition,[],[f497,f2235]) ).
fof(f2933,plain,
( sP18(xK,sdtmndt0(szNzAzT0,xK),szNzAzT0)
| ~ aSet0(sdtmndt0(szNzAzT0,xK)) ),
inference(subsumption_resolution,[],[f2929,f717]) ).
fof(f2929,plain,
( sP18(xK,sdtmndt0(szNzAzT0,xK),szNzAzT0)
| ~ aElement0(xK)
| ~ aSet0(sdtmndt0(szNzAzT0,xK)) ),
inference(superposition,[],[f644,f2235]) ).
fof(f2235,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK),
inference(subsumption_resolution,[],[f2210,f468]) ).
fof(f2210,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xK),xK)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f379]) ).
fof(f2888,plain,
( aElement0(szDzizrdt0(xc))
| ~ isCountable0(szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f2880,f380]) ).
fof(f2880,plain,
( aElement0(szDzizrdt0(xc))
| ~ isCountable0(szDzozmdt0(xc))
| ~ aFunction0(xc) ),
inference(resolution,[],[f471,f851]) ).
fof(f2903,plain,
( ~ isCountable0(szDzozmdt0(xc))
| ~ isFinite0(sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)))
| aElement0(szDzizrdt0(sdtexdt0(xc,szDzozmdt0(xc))))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(forward_demodulation,[],[f2887,f1671]) ).
fof(f2887,plain,
( ~ isFinite0(sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)))
| aElement0(szDzizrdt0(sdtexdt0(xc,szDzozmdt0(xc))))
| ~ isCountable0(szDzozmdt0(sdtexdt0(xc,szDzozmdt0(xc))))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f471,f1671]) ).
fof(f471,plain,
! [X0] :
( ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(szDzizrdt0(X0))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) )
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).
fof(f396,plain,
! [X2,X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
inference(rectify,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP0(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f213]) ).
fof(f2796,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(subsumption_resolution,[],[f2787,f851]) ).
fof(f2787,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(resolution,[],[f636,f393]) ).
fof(f2795,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(sK23(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f2786,f851]) ).
fof(f2786,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(sK23(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
inference(resolution,[],[f636,f390]) ).
fof(f2794,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))))) ),
inference(subsumption_resolution,[],[f2785,f851]) ).
fof(f2785,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(szmzazxdt0(sdtlcdtrc0(xc,szDzozmdt0(xc))))) ),
inference(resolution,[],[f636,f391]) ).
fof(f2793,plain,
! [X0] :
( slcrc0 = sdtlbdtrb0(xN,X0)
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| aElementOf0(szmzazxdt0(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f2784,f1149]) ).
fof(f2784,plain,
! [X0] :
( slcrc0 = sdtlbdtrb0(xN,X0)
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| ~ aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| aElementOf0(szmzazxdt0(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0) ),
inference(resolution,[],[f636,f1729]) ).
fof(f2782,plain,
! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ isFinite0(szDzozmdt0(X0))
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzazxdt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ),
inference(resolution,[],[f636,f491]) ).
fof(f2792,plain,
( ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSet0(szmzazxdt0(szDzozmdt0(xc))) ),
inference(subsumption_resolution,[],[f2781,f2620]) ).
fof(f2781,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSet0(szmzazxdt0(szDzozmdt0(xc))) ),
inference(resolution,[],[f636,f381]) ).
fof(f2791,plain,
( ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSubsetOf0(szmzazxdt0(szDzozmdt0(xc)),xS) ),
inference(subsumption_resolution,[],[f2780,f2620]) ).
fof(f2780,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSubsetOf0(szmzazxdt0(szDzozmdt0(xc)),xS) ),
inference(resolution,[],[f636,f383]) ).
fof(f2790,plain,
( ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| xK = sbrdtbr0(szmzazxdt0(szDzozmdt0(xc))) ),
inference(subsumption_resolution,[],[f2779,f2620]) ).
fof(f2779,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| xK = sbrdtbr0(szmzazxdt0(szDzozmdt0(xc))) ),
inference(resolution,[],[f636,f384]) ).
fof(f2789,plain,
! [X0] :
( ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| ~ aElementOf0(X0,szmzazxdt0(szDzozmdt0(xc)))
| aElementOf0(X0,xS) ),
inference(subsumption_resolution,[],[f2778,f2620]) ).
fof(f2778,plain,
! [X0] :
( slcrc0 = szDzozmdt0(xc)
| ~ isFinite0(szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| ~ aElementOf0(X0,szmzazxdt0(szDzozmdt0(xc)))
| aElementOf0(X0,xS) ),
inference(resolution,[],[f636,f382]) ).
fof(f2777,plain,
! [X0] :
( slcrc0 = slbdtrb0(X0)
| ~ isFinite0(slbdtrb0(X0))
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0)
| aElementOf0(szmzazxdt0(slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0) ),
inference(resolution,[],[f636,f843]) ).
fof(f2768,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzazxdt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f636,f507]) ).
fof(f2767,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(X0,szmzazxdt0(X0)),szmzazxdt0(X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f636,f508]) ).
fof(f636,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f545]) ).
fof(f545,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK43(X0,X1),X1)
& aElementOf0(sK43(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,[sK43])],[f324,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK43(X0,X1),X1)
& aElementOf0(sK43(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f324,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,[],[f323]) ).
fof(f323,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,[],[f322]) ).
fof(f322,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,[],[f170]) ).
fof(f170,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,[],[f169]) ).
fof(f169,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/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(f2745,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(sdtlpdtrp0(X2,X0),sdtlcdtrc0(X2,X1))
| ~ sP13(X1,X2) ),
inference(resolution,[],[f631,f630]) ).
fof(f631,plain,
! [X2,X0,X1,X7] :
( ~ sP12(X0,X1,X2)
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) ),
inference(equality_resolution,[],[f486]) ).
fof(f486,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f599,plain,
! [X2,X0,X1] :
( ~ sP20(X1,X0,X2)
| slbdtsldtrb0(X0,X1) = X2
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP20(X1,X0,X2) )
& ( sP20(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP21(X0,X1) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP20(X1,X0,X2) )
| ~ sP21(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2723,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f2722,f507]) ).
fof(f2722,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f572,f644]) ).
fof(f572,plain,
! [X2,X0,X1,X4] :
( ~ sP18(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0,X1,X2] :
( ( sP18(X0,X1,X2)
| ( ( ( sK48(X0,X1,X2) != X0
& ~ aElementOf0(sK48(X0,X1,X2),X1) )
| ~ aElement0(sK48(X0,X1,X2))
| ~ aElementOf0(sK48(X0,X1,X2),X2) )
& ( ( ( sK48(X0,X1,X2) = X0
| aElementOf0(sK48(X0,X1,X2),X1) )
& aElement0(sK48(X0,X1,X2)) )
| aElementOf0(sK48(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) ) )
| ~ sP18(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f347,f348]) ).
fof(f348,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) ) )
=> ( ( ( sK48(X0,X1,X2) != X0
& ~ aElementOf0(sK48(X0,X1,X2),X1) )
| ~ aElement0(sK48(X0,X1,X2))
| ~ aElementOf0(sK48(X0,X1,X2),X2) )
& ( ( ( sK48(X0,X1,X2) = X0
| aElementOf0(sK48(X0,X1,X2),X1) )
& aElement0(sK48(X0,X1,X2)) )
| aElementOf0(sK48(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0,X1,X2] :
( ( sP18(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) ) )
| ~ sP18(X0,X1,X2) ) ),
inference(rectify,[],[f346]) ).
fof(f346,plain,
! [X1,X0,X2] :
( ( sP18(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) ) )
| ~ sP18(X1,X0,X2) ) ),
inference(flattening,[],[f345]) ).
fof(f345,plain,
! [X1,X0,X2] :
( ( sP18(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) ) )
| ~ sP18(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X1,X0,X2] :
( sP18(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f2718,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X0) = X2
| ~ sP17(X1,X2) ),
inference(resolution,[],[f563,f641]) ).
fof(f563,plain,
! [X2,X0,X1,X4] :
( ~ sP16(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) = X0 ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0,X1,X2] :
( ( sP16(X0,X1,X2)
| ( ( sdtlpdtrp0(X1,sK47(X0,X1,X2)) != X0
| ~ aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK47(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK47(X0,X1,X2)) = X0
& aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK47(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP16(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f342,f343]) ).
fof(f343,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X1,sK47(X0,X1,X2)) != X0
| ~ aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK47(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X1,sK47(X0,X1,X2)) = X0
& aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1)) )
| aElementOf0(sK47(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0,X1,X2] :
( ( sP16(X0,X1,X2)
| ? [X3] :
( ( sdtlpdtrp0(X1,X3) != X0
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X1,X3) = X0
& aElementOf0(X3,szDzozmdt0(X1)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1)) )
& ( ( sdtlpdtrp0(X1,X4) = X0
& aElementOf0(X4,szDzozmdt0(X1)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP16(X0,X1,X2) ) ),
inference(rectify,[],[f341]) ).
fof(f341,plain,
! [X1,X0,X2] :
( ( sP16(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP16(X1,X0,X2) ) ),
inference(flattening,[],[f340]) ).
fof(f340,plain,
! [X1,X0,X2] :
( ( sP16(X1,X0,X2)
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP16(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X1,X0,X2] :
( sP16(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f560,plain,
! [X2,X0,X1] :
( ~ sP16(X1,X0,X2)
| sdtlbdtrb0(X0,X1) = X2
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ~ sP16(X1,X0,X2) )
& ( sP16(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ sP17(X0,X1) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> sP16(X1,X0,X2) )
| ~ sP17(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1745,plain,
( sz00 = sK22
| sK22 = szszuzczcdt0(sK41(sK22)) ),
inference(resolution,[],[f526,f1510]) ).
fof(f2620,plain,
slcrc0 != szDzozmdt0(xc),
inference(subsumption_resolution,[],[f2619,f415]) ).
fof(f2619,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f2618,f669]) ).
fof(f2618,plain,
( slcrc0 != szDzozmdt0(xc)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f2617,f379]) ).
fof(f2617,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(superposition,[],[f538,f388]) ).
fof(f538,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(f514,plain,
! [X0,X1] :
( ~ aElementOf0(sK40(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK40(X0,X1),X0)
& aElementOf0(sK40(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,[sK40])],[f311,f312]) ).
fof(f312,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK40(X0,X1),X0)
& aElementOf0(sK40(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f311,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,[],[f310]) ).
fof(f310,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,[],[f309]) ).
fof(f309,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,[],[f140]) ).
fof(f140,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/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f2496,plain,
( ~ sP13(slcrc0,sdtexdt0(xN,slcrc0))
| ~ sP5(sdtexdt0(xN,slcrc0))
| aElement0(sK29(sdtexdt0(xN,slcrc0))) ),
inference(superposition,[],[f1478,f2481]) ).
fof(f2493,plain,
( ~ aSet0(sdtlcdtrc0(sdtexdt0(xN,slcrc0),slcrc0))
| aElement0(sK29(sdtexdt0(xN,slcrc0)))
| ~ sP5(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f808,f2481]) ).
fof(f2492,plain,
! [X0] :
( aSubsetOf0(sdtlbdtrb0(sdtexdt0(xN,slcrc0),X0),slcrc0)
| ~ aElement0(X0)
| ~ aFunction0(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f558,f2481]) ).
fof(f2490,plain,
! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sP13(X0,sdtexdt0(xN,slcrc0))
| ~ aFunction0(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f490,f2481]) ).
fof(f2489,plain,
! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sP11(X0,sdtexdt0(xN,slcrc0))
| ~ aFunction0(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f480,f2481]) ).
fof(f2487,plain,
( aElementOf0(sK29(sdtexdt0(xN,slcrc0)),sdtlcdtrc0(sdtexdt0(xN,slcrc0),slcrc0))
| ~ sP5(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f446,f2481]) ).
fof(f2486,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sdtexdt0(xN,slcrc0),slcrc0),xT)
| ~ sP8(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f436,f2481]) ).
fof(f2485,plain,
( aSet0(sdtlcdtrc0(sdtexdt0(xN,slcrc0),slcrc0))
| ~ sP8(sdtexdt0(xN,slcrc0)) ),
inference(superposition,[],[f433,f2481]) ).
fof(f2481,plain,
slcrc0 = szDzozmdt0(sdtexdt0(xN,slcrc0)),
inference(subsumption_resolution,[],[f2474,f468]) ).
fof(f2474,plain,
( ~ aSet0(szNzAzT0)
| slcrc0 = szDzozmdt0(sdtexdt0(xN,slcrc0)) ),
inference(resolution,[],[f2444,f950]) ).
fof(f2484,plain,
! [X0] :
( ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(sdtexdt0(X0,slcrc0)) ),
inference(resolution,[],[f2480,f907]) ).
fof(f2480,plain,
! [X0] :
( sP11(slcrc0,X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f2473,f470]) ).
fof(f2473,plain,
! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP11(slcrc0,X0)
| ~ aFunction0(X0) ),
inference(resolution,[],[f2444,f480]) ).
fof(f2479,plain,
! [X0] :
( sP13(slcrc0,X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f2472,f470]) ).
fof(f2472,plain,
! [X0] :
( ~ aSet0(szDzozmdt0(X0))
| sP13(slcrc0,X0)
| ~ aFunction0(X0) ),
inference(resolution,[],[f2444,f490]) ).
fof(f2483,plain,
aElement0(sK44(slcrc0)),
inference(subsumption_resolution,[],[f2482,f465]) ).
fof(f2482,plain,
( ~ isFinite0(slcrc0)
| aElement0(sK44(slcrc0)) ),
inference(subsumption_resolution,[],[f2475,f468]) ).
fof(f2475,plain,
( ~ aSet0(szNzAzT0)
| ~ isFinite0(slcrc0)
| aElement0(sK44(slcrc0)) ),
inference(resolution,[],[f2444,f856]) ).
fof(f2444,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2422,f640]) ).
fof(f2422,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(resolution,[],[f513,f639]) ).
fof(f2463,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK40(X0,xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f2441,f415]) ).
fof(f2441,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(xS)
| ~ aSet0(X0)
| aElementOf0(sK40(X0,xS),szNzAzT0) ),
inference(resolution,[],[f513,f416]) ).
fof(f2462,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(X0)
| aElementOf0(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(subsumption_resolution,[],[f2440,f389]) ).
fof(f2440,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| aElementOf0(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(resolution,[],[f513,f393]) ).
fof(f2461,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(X0)
| aElementOf0(sK23(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f2439,f389]) ).
fof(f2439,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| aElementOf0(sK23(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
inference(resolution,[],[f513,f390]) ).
fof(f2460,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(X0)
| sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))))) ),
inference(subsumption_resolution,[],[f2438,f389]) ).
fof(f2438,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0)
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(X0)
| sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK40(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))))) ),
inference(resolution,[],[f513,f391]) ).
fof(f2459,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK40(X1,sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f2437,f1156]) ).
fof(f2437,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),X1)
| ~ aSet0(sdtlbdtrb0(xN,X0))
| ~ aSet0(X1)
| aElementOf0(sK40(X1,sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0) ),
inference(resolution,[],[f513,f1729]) ).
fof(f2458,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK40(X1,sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f2436,f425]) ).
fof(f2436,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),X1)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(X1)
| aElementOf0(sK40(X1,sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f513,f426]) ).
fof(f2457,plain,
! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK40(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f2435,f470]) ).
fof(f2435,plain,
! [X0,X1] :
( aSubsetOf0(szDzozmdt0(X0),X1)
| ~ aSet0(szDzozmdt0(X0))
| ~ aSet0(X1)
| aElement0(sdtlpdtrp0(X0,sK40(X1,szDzozmdt0(X0))))
| ~ aFunction0(X0) ),
inference(resolution,[],[f513,f491]) ).
fof(f2452,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK40(X1,slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0) ),
inference(subsumption_resolution,[],[f2430,f674]) ).
fof(f2430,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(slbdtrb0(X0))
| ~ aSet0(X1)
| aElementOf0(sK40(X1,slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0) ),
inference(resolution,[],[f513,f843]) ).
fof(f2451,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK40(X0,szNzAzT0)
| aElement0(sK41(sK40(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f2429,f468]) ).
fof(f2429,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK40(X0,szNzAzT0)
| aElement0(sK41(sK40(X0,szNzAzT0))) ),
inference(resolution,[],[f513,f1051]) ).
fof(f2450,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| aElement0(sK40(X0,szNzAzT0)) ),
inference(subsumption_resolution,[],[f2428,f468]) ).
fof(f2428,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| aElement0(sK40(X0,szNzAzT0)) ),
inference(resolution,[],[f513,f934]) ).
fof(f2449,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| szszuzczcdt0(sK40(X0,szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK40(X0,szNzAzT0)))) ),
inference(subsumption_resolution,[],[f2427,f468]) ).
fof(f2427,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| szszuzczcdt0(sK40(X0,szNzAzT0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK40(X0,szNzAzT0)))) ),
inference(resolution,[],[f513,f773]) ).
fof(f2448,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK40(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f2426,f468]) ).
fof(f2426,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| aElement0(szszuzczcdt0(sK40(X0,szNzAzT0))) ),
inference(resolution,[],[f513,f748]) ).
fof(f2447,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sP15(sK40(X0,szNzAzT0)) ),
inference(subsumption_resolution,[],[f2425,f468]) ).
fof(f2425,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sP15(sK40(X0,szNzAzT0)) ),
inference(resolution,[],[f513,f536]) ).
fof(f2446,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sz00 = sK40(X0,szNzAzT0)
| sK40(X0,szNzAzT0) = szszuzczcdt0(sK41(sK40(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f2424,f468]) ).
fof(f2424,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK40(X0,szNzAzT0)
| sK40(X0,szNzAzT0) = szszuzczcdt0(sK41(sK40(X0,szNzAzT0))) ),
inference(resolution,[],[f513,f526]) ).
fof(f2445,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sK40(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK40(X0,szNzAzT0))) ),
inference(subsumption_resolution,[],[f2423,f468]) ).
fof(f2423,plain,
! [X0] :
( aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0)
| sK40(X0,szNzAzT0) = sbrdtbr0(slbdtrb0(sK40(X0,szNzAzT0))) ),
inference(resolution,[],[f513,f522]) ).
fof(f2442,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK40(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2421]) ).
fof(f2421,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK40(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f513,f507]) ).
fof(f2443,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK40(X1,X0)),sK40(X1,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2420]) ).
fof(f2420,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK40(X1,X0)),sK40(X1,X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f513,f508]) ).
fof(f513,plain,
! [X0,X1] :
( aElementOf0(sK40(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f2240,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22),sK22),
inference(subsumption_resolution,[],[f2214,f468]) ).
fof(f2214,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK22),sK22)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f1510]) ).
fof(f2317,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sK22)
| ~ aSubsetOf0(X0,slbdtrb0(sK22))
| ~ isFinite0(slbdtrb0(sK22))
| ~ aSet0(slbdtrb0(sK22)) ),
inference(superposition,[],[f509,f1516]) ).
fof(f2344,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00) )
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f2343,f640]) ).
fof(f2343,plain,
( ! [X0] :
( ~ aSet0(slcrc0)
| ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2342,f467]) ).
fof(f2342,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(sz00))
| ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2341,f1094]) ).
fof(f2341,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f2340,f465]) ).
fof(f2340,plain,
( ! [X0] :
( ~ isFinite0(slcrc0)
| ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2339,f467]) ).
fof(f2339,plain,
( ! [X0] :
( ~ isFinite0(slbdtrb0(sz00))
| ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2338,f1094]) ).
fof(f2338,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ isFinite0(slbdtrb0(xi))
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2337,f467]) ).
fof(f2337,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slbdtrb0(sz00))
| sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ isFinite0(slbdtrb0(xi))
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2336,f1094]) ).
fof(f2336,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slbdtrb0(xi))
| ~ isFinite0(slbdtrb0(xi))
| ~ aSet0(slbdtrb0(xi)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2316,f1094]) ).
fof(f2316,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xi)
| ~ aSubsetOf0(X0,slbdtrb0(xi))
| ~ isFinite0(slbdtrb0(xi))
| ~ aSet0(slbdtrb0(xi)) ),
inference(superposition,[],[f509,f778]) ).
fof(f2315,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xj)
| ~ aSubsetOf0(X0,slbdtrb0(xj))
| ~ isFinite0(slbdtrb0(xj))
| ~ aSet0(slbdtrb0(xj)) ),
inference(superposition,[],[f509,f777]) ).
fof(f2314,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),xk)
| ~ aSubsetOf0(X0,slbdtrb0(xk))
| ~ isFinite0(slbdtrb0(xk))
| ~ aSet0(slbdtrb0(xk)) ),
inference(superposition,[],[f509,f776]) ).
fof(f2332,plain,
( ! [X0] :
( ~ aSet0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))
| sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00)) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2331,f1094]) ).
fof(f2331,plain,
( ! [X0] :
( ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))
| sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2330,f1094]) ).
fof(f2330,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))
| sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2329,f1094]) ).
fof(f2329,plain,
( ! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(xi)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2307,f1094]) ).
fof(f2307,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(xi))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(xi)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f509,f1329]) ).
fof(f2306,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(xj))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(xj)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xj)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f509,f1328]) ).
fof(f2305,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(xK))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(xK)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xK)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f509,f1326]) ).
fof(f2301,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),szszuzczcdt0(sz00))
| ~ aSubsetOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f509,f1322]) ).
fof(f2297,plain,
! [X0] :
( sdtlseqdt0(sK22,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(sK22),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1516]) ).
fof(f2324,plain,
( ! [X0] :
( ~ aSubsetOf0(slcrc0,X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2323,f467]) ).
fof(f2323,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(sz00),X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2322,f1094]) ).
fof(f2322,plain,
( ! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2296,f1094]) ).
fof(f2296,plain,
! [X0] :
( sdtlseqdt0(xi,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f778]) ).
fof(f2295,plain,
! [X0] :
( sdtlseqdt0(xj,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xj),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f777]) ).
fof(f2294,plain,
! [X0] :
( sdtlseqdt0(xk,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f776]) ).
fof(f2293,plain,
! [X0] :
( sdtlseqdt0(xK,sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f775]) ).
fof(f2288,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK22),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sK22)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1513]) ).
fof(f2321,plain,
( ! [X0] :
( ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2320,f1094]) ).
fof(f2320,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xi)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2287,f1094]) ).
fof(f2287,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(xi),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xi)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1329]) ).
fof(f2286,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(xj),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1328]) ).
fof(f2285,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(xK),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xK)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1326]) ).
fof(f2281,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(X0))
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f1322]) ).
fof(f2280,plain,
! [X0] :
( sdtlseqdt0(sz00,sbrdtbr0(X0))
| ~ aSubsetOf0(slcrc0,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f509,f671]) ).
fof(f509,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,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/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(f2252,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK22),sK22)
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f2227,f415]) ).
fof(f2227,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK22),sK22)
| ~ aSet0(xS)
| ~ spl53_26 ),
inference(resolution,[],[f508,f1880]) ).
fof(f2250,plain,
! [X0] :
( sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),sdtlpdtrp0(xc,X0)),sdtlpdtrp0(xc,X0))
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f2225,f389]) ).
fof(f2225,plain,
! [X0] :
( sdtlcdtrc0(xc,szDzozmdt0(xc)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)),sdtlpdtrp0(xc,X0)),sdtlpdtrp0(xc,X0))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(resolution,[],[f508,f621]) ).
fof(f2224,plain,
! [X0] :
( sdtlcdtrc0(X0,szDzozmdt0(X0)) = sdtpldt0(sdtmndt0(sdtlcdtrc0(X0,szDzozmdt0(X0)),sK29(X0)),sK29(X0))
| ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) ),
inference(resolution,[],[f508,f446]) ).
fof(f2223,plain,
! [X0] :
( sdtlpdtrp0(xN,X0) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ),
inference(resolution,[],[f508,f395]) ).
fof(f2219,plain,
! [X0] :
( slbdtrb0(szszuzczcdt0(X0)) = sdtpldt0(sdtmndt0(slbdtrb0(szszuzczcdt0(X0)),X0),X0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f652]) ).
fof(f2243,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK44(X0)),sK44(X0))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f2217,f468]) ).
fof(f2217,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK44(X0)),sK44(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f549]) ).
fof(f2241,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK41(X0)),sK41(X0))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f2215,f468]) ).
fof(f2215,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sK41(X0)),sK41(X0))
| ~ aSet0(szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f525]) ).
fof(f2239,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2238,f1094]) ).
fof(f2238,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi),
inference(subsumption_resolution,[],[f2213,f468]) ).
fof(f2213,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,xi),xi)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f422]) ).
fof(f2233,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f2208,f468]) ).
fof(f2208,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sbrdtbr0(X0)),sbrdtbr0(X0))
| ~ aSet0(szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f508,f506]) ).
fof(f2231,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f2206,f468]) ).
fof(f2206,plain,
! [X0] :
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f523]) ).
fof(f2230,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00),
inference(subsumption_resolution,[],[f2205,f468]) ).
fof(f2205,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f508,f466]) ).
fof(f2229,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f2204,f645]) ).
fof(f2204,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f508,f1277]) ).
fof(f2203,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,szmzizndt0(X0)),szmzizndt0(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f638]) ).
fof(f2228,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK46(X0)),sK46(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f2202]) ).
fof(f2202,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK46(X0)),sK46(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f508,f557]) ).
fof(f508,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f482,plain,
! [X2,X0,X1] :
( ~ sP12(X1,X0,X2)
| sdtlcdtrc0(X1,X0) = X2
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlcdtrc0(X1,X0) = X2
| ~ sP12(X1,X0,X2) )
& ( sP12(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2 ) )
| ~ sP13(X0,X1) ),
inference(rectify,[],[f296]) ).
fof(f296,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ~ sP12(X0,X1,X2) )
& ( sP12(X0,X1,X2)
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ sP13(X1,X0) ),
inference(nnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP12(X0,X1,X2) )
| ~ sP13(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ sP10(X2,X1,X0)
| sdtexdt0(X1,X0) = X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP10(X2,X1,X0) )
& ( sP10(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f289]) ).
fof(f289,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP10(X2,X0,X1) )
& ( sP10(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP11(X1,X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP10(X2,X0,X1) )
| ~ sP11(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f2121,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2,szNzAzT0)
| ~ isFinite0(sK27(X0,X1,X2,szNzAzT0))
| aElement0(sK44(sK27(X0,X1,X2,szNzAzT0))) ),
inference(resolution,[],[f439,f856]) ).
fof(f2120,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2,szNzAzT0)
| sK27(X0,X1,X2,szNzAzT0) = szDzozmdt0(sdtexdt0(xN,sK27(X0,X1,X2,szNzAzT0))) ),
inference(resolution,[],[f439,f950]) ).
fof(f2119,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP11(sK27(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) ),
inference(resolution,[],[f439,f480]) ).
fof(f2118,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,szDzozmdt0(X3))
| sP13(sK27(X0,X1,X2,szDzozmdt0(X3)),X3)
| ~ aFunction0(X3) ),
inference(resolution,[],[f439,f490]) ).
fof(f2116,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| isFinite0(sK27(X0,X1,X2,X3))
| ~ isFinite0(X3)
| ~ aSet0(X3) ),
inference(resolution,[],[f439,f541]) ).
fof(f2115,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP7(X0,X1,X2,X3)
| ~ aElementOf0(X4,sK27(X0,X1,X2,X3))
| aElementOf0(X4,X3)
| ~ aSet0(X3) ),
inference(resolution,[],[f439,f512]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( aSubsetOf0(sK27(X0,X1,X2,X3),X3)
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( ( sP6(X2,X1,X0,sK27(X0,X1,X2,X3))
& isCountable0(sK27(X0,X1,X2,X3))
& aSubsetOf0(sK27(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK27(X0,X1,X2,X3)) )
& aSet0(sK27(X0,X1,X2,X3)) )
| ~ sP7(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f265,f266]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP6(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
=> ( sP6(X2,X1,X0,sK27(X0,X1,X2,X3))
& isCountable0(sK27(X0,X1,X2,X3))
& aSubsetOf0(sK27(X0,X1,X2,X3),X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK27(X0,X1,X2,X3)) )
& aSet0(sK27(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP6(X2,X1,X0,X4)
& isCountable0(X4)
& aSubsetOf0(X4,X3)
& ! [X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ sP7(X0,X1,X2,X3) ),
inference(rectify,[],[f264]) ).
fof(f264,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP6(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP7(X0,X3,X10,X1) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X3,X10,X1] :
( ? [X11] :
( sP6(X10,X3,X0,X11)
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
| ~ sP7(X0,X3,X10,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2112,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0)) ),
inference(subsumption_resolution,[],[f2111,f389]) ).
fof(f2111,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(xc,X0))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f621,f507]) ).
fof(f2110,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(resolution,[],[f621,f393]) ).
fof(f2109,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK23(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) ),
inference(resolution,[],[f621,f390]) ).
fof(f2108,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sK23(sdtlpdtrp0(xc,X0))) ),
inference(resolution,[],[f621,f391]) ).
fof(f621,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(equality_resolution,[],[f392]) ).
fof(f392,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK23(X1)) = X1
& aElementOf0(sK23(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK24(X4),xS)
& aElementOf0(sK24(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f246,f248,f247]) ).
fof(f247,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK23(X1)) = X1
& aElementOf0(sK23(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK24(X4),xS)
& aElementOf0(sK24(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f2093,plain,
( szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0) ),
inference(resolution,[],[f391,f638]) ).
fof(f2094,plain,
( sK46(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f2092,f389]) ).
fof(f2092,plain,
( sK46(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f391,f557]) ).
fof(f391,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK23(X1)) = X1 ),
inference(cnf_transformation,[],[f249]) ).
fof(f2006,plain,
! [X0,X1] :
( ~ sP20(sK22,X0,X1)
| ~ aSubsetOf0(slbdtrb0(sK22),X0)
| aElementOf0(slbdtrb0(sK22),X1) ),
inference(superposition,[],[f650,f1516]) ).
fof(f2016,plain,
( ! [X0,X1] :
( aElementOf0(slcrc0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| ~ sP20(sz00,X0,X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2015,f467]) ).
fof(f2015,plain,
( ! [X0,X1] :
( aElementOf0(slbdtrb0(sz00),X1)
| ~ aSubsetOf0(slcrc0,X0)
| ~ sP20(sz00,X0,X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2014,f1094]) ).
fof(f2014,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slcrc0,X0)
| ~ sP20(sz00,X0,X1)
| aElementOf0(slbdtrb0(xi),X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2013,f467]) ).
fof(f2013,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(sz00),X0)
| ~ sP20(sz00,X0,X1)
| aElementOf0(slbdtrb0(xi),X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2012,f1094]) ).
fof(f2012,plain,
( ! [X0,X1] :
( ~ sP20(sz00,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| aElementOf0(slbdtrb0(xi),X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2005,f1094]) ).
fof(f2005,plain,
! [X0,X1] :
( ~ sP20(xi,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xi),X0)
| aElementOf0(slbdtrb0(xi),X1) ),
inference(superposition,[],[f650,f778]) ).
fof(f2004,plain,
! [X0,X1] :
( ~ sP20(xj,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xj),X0)
| aElementOf0(slbdtrb0(xj),X1) ),
inference(superposition,[],[f650,f777]) ).
fof(f2003,plain,
! [X0,X1] :
( ~ sP20(xk,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xk),X0)
| aElementOf0(slbdtrb0(xk),X1) ),
inference(superposition,[],[f650,f776]) ).
fof(f2002,plain,
! [X0,X1] :
( ~ sP20(xK,X0,X1)
| ~ aSubsetOf0(slbdtrb0(xK),X0)
| aElementOf0(slbdtrb0(xK),X1) ),
inference(superposition,[],[f650,f775]) ).
fof(f1997,plain,
! [X0,X1] :
( ~ sP20(szszuzczcdt0(sK22),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sK22)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(sK22)),X1) ),
inference(superposition,[],[f650,f1513]) ).
fof(f2011,plain,
( ! [X0,X1] :
( aElementOf0(slbdtrb0(szszuzczcdt0(sz00)),X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| ~ sP20(szszuzczcdt0(sz00),X0,X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2010,f1094]) ).
fof(f2010,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| ~ sP20(szszuzczcdt0(sz00),X0,X1)
| aElementOf0(slbdtrb0(szszuzczcdt0(xi)),X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2009,f1094]) ).
fof(f2009,plain,
( ! [X0,X1] :
( ~ sP20(szszuzczcdt0(sz00),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xi)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(xi)),X1) )
| ~ spl53_26 ),
inference(forward_demodulation,[],[f1996,f1094]) ).
fof(f1996,plain,
! [X0,X1] :
( ~ sP20(szszuzczcdt0(xi),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xi)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(xi)),X1) ),
inference(superposition,[],[f650,f1329]) ).
fof(f1995,plain,
! [X0,X1] :
( ~ sP20(szszuzczcdt0(xj),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(xj)),X1) ),
inference(superposition,[],[f650,f1328]) ).
fof(f1994,plain,
! [X0,X1] :
( ~ sP20(szszuzczcdt0(xK),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xK)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(xK)),X1) ),
inference(superposition,[],[f650,f1326]) ).
fof(f1990,plain,
! [X0,X1] :
( ~ sP20(szszuzczcdt0(sz00),X0,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),X0)
| aElementOf0(slbdtrb0(szszuzczcdt0(sz00)),X1) ),
inference(superposition,[],[f650,f1322]) ).
fof(f1989,plain,
! [X0,X1] :
( ~ sP20(sz00,X0,X1)
| ~ aSubsetOf0(slcrc0,X0)
| aElementOf0(slcrc0,X1) ),
inference(superposition,[],[f650,f671]) ).
fof(f1988,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ sP21(X1,sbrdtbr0(X0)) ),
inference(resolution,[],[f650,f649]) ).
fof(f650,plain,
! [X2,X1,X4] :
( ~ sP20(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f603]) ).
fof(f603,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP20(X0,X1,X2) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0,X1,X2] :
( ( sP20(X0,X1,X2)
| ( ( sbrdtbr0(sK52(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK52(X0,X1,X2),X1)
| ~ aElementOf0(sK52(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK52(X0,X1,X2)) = X0
& aSubsetOf0(sK52(X0,X1,X2),X1) )
| aElementOf0(sK52(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP20(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK52(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK52(X0,X1,X2),X1)
| ~ aElementOf0(sK52(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK52(X0,X1,X2)) = X0
& aSubsetOf0(sK52(X0,X1,X2),X1) )
| aElementOf0(sK52(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0,X1,X2] :
( ( sP20(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP20(X0,X1,X2) ) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X1,X0,X2] :
( ( sP20(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP20(X1,X0,X2) ) ),
inference(flattening,[],[f364]) ).
fof(f364,plain,
! [X1,X0,X2] :
( ( sP20(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP20(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X1,X0,X2] :
( sP20(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1945,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| sbrdtbr0(X0) = X2
| ~ sP21(X1,X2) ),
inference(resolution,[],[f602,f649]) ).
fof(f602,plain,
! [X2,X0,X1,X4] :
( ~ sP20(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X0 ),
inference(cnf_transformation,[],[f368]) ).
fof(f1898,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ sP17(X1,X2) ),
inference(resolution,[],[f562,f641]) ).
fof(f562,plain,
! [X2,X0,X1,X4] :
( ~ sP16(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f344]) ).
fof(f1881,plain,
( ~ aSubsetOf0(xS,sdtlpdtrp0(xN,xj))
| ~ spl53_26 ),
inference(forward_demodulation,[],[f1870,f409]) ).
fof(f1870,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,xj))
| ~ spl53_26 ),
inference(superposition,[],[f376,f1094]) ).
fof(f1868,plain,
( sdtlseqdt0(xj,sz00)
| ~ spl53_26 ),
inference(superposition,[],[f373,f1094]) ).
fof(f1744,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK41(xi)) ),
inference(resolution,[],[f526,f422]) ).
fof(f1842,plain,
( xj != sK41(xj)
| spl53_24 ),
inference(subsumption_resolution,[],[f1841,f421]) ).
fof(f1841,plain,
( xj != sK41(xj)
| ~ aElementOf0(xj,szNzAzT0)
| spl53_24 ),
inference(inner_rewriting,[],[f1827]) ).
fof(f540,plain,
! [X0,X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( isFinite0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(f1840,plain,
( ! [X0] :
( sdtlseqdt0(xj,X0)
| ~ aElementOf0(sK41(xj),slbdtrb0(X0))
| ~ sP15(X0) )
| spl53_24 ),
inference(superposition,[],[f1067,f1756]) ).
fof(f1835,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xj))
| ~ sP1(sK41(xj))
| spl53_24 ),
inference(superposition,[],[f697,f1756]) ).
fof(f1834,plain,
( xj != xi
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f655,f1756]) ).
fof(f1833,plain,
( aElementOf0(sK41(xj),slbdtrb0(xj))
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f652,f1756]) ).
fof(f1830,plain,
( sdtlseqdt0(sK41(xj),xj)
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f521,f1756]) ).
fof(f1829,plain,
( iLess0(sK41(xj),xj)
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f520,f1756]) ).
fof(f1828,plain,
( ~ sdtlseqdt0(xj,sz00)
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f519,f1756]) ).
fof(f1827,plain,
( xj != sK41(xj)
| ~ aElementOf0(sK41(xj),szNzAzT0)
| spl53_24 ),
inference(superposition,[],[f518,f1756]) ).
fof(f1826,plain,
( isCountable0(sdtlpdtrp0(xN,xj))
| ~ sP1(sK41(xj))
| spl53_24 ),
inference(superposition,[],[f402,f1756]) ).
fof(f1825,plain,
( aSet0(sdtlpdtrp0(xN,xj))
| ~ sP1(sK41(xj))
| spl53_24 ),
inference(superposition,[],[f399,f1756]) ).
fof(f1756,plain,
( xj = szszuzczcdt0(sK41(xj))
| spl53_24 ),
inference(subsumption_resolution,[],[f1743,f1084]) ).
fof(f1743,plain,
( sz00 = xj
| xj = szszuzczcdt0(sK41(xj)) ),
inference(resolution,[],[f526,f421]) ).
fof(f1803,plain,
xK != sK41(xK),
inference(subsumption_resolution,[],[f1802,f379]) ).
fof(f1802,plain,
( xK != sK41(xK)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(inner_rewriting,[],[f1788]) ).
fof(f1801,plain,
! [X0] :
( sdtlseqdt0(xK,X0)
| ~ aElementOf0(sK41(xK),slbdtrb0(X0))
| ~ sP15(X0) ),
inference(superposition,[],[f1067,f1754]) ).
fof(f1796,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xK))
| ~ sP1(sK41(xK)) ),
inference(superposition,[],[f697,f1754]) ).
fof(f1794,plain,
( aElementOf0(sK41(xK),slbdtrb0(xK))
| ~ aElementOf0(sK41(xK),szNzAzT0) ),
inference(superposition,[],[f652,f1754]) ).
fof(f1791,plain,
( sdtlseqdt0(sK41(xK),xK)
| ~ aElementOf0(sK41(xK),szNzAzT0) ),
inference(superposition,[],[f521,f1754]) ).
fof(f1790,plain,
( iLess0(sK41(xK),xK)
| ~ aElementOf0(sK41(xK),szNzAzT0) ),
inference(superposition,[],[f520,f1754]) ).
fof(f1788,plain,
( xK != sK41(xK)
| ~ aElementOf0(sK41(xK),szNzAzT0) ),
inference(superposition,[],[f518,f1754]) ).
fof(f1787,plain,
( isCountable0(sdtlpdtrp0(xN,xK))
| ~ sP1(sK41(xK)) ),
inference(superposition,[],[f402,f1754]) ).
fof(f1754,plain,
xK = szszuzczcdt0(sK41(xK)),
inference(subsumption_resolution,[],[f1741,f377]) ).
fof(f1741,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK41(xK)) ),
inference(resolution,[],[f526,f379]) ).
fof(f1747,plain,
! [X0] :
( sz00 = sK44(X0)
| sK44(X0) = szszuzczcdt0(sK41(sK44(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f549]) ).
fof(f1746,plain,
! [X0] :
( sz00 = sK41(X0)
| sK41(X0) = szszuzczcdt0(sK41(sK41(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f525]) ).
fof(f1739,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sK41(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f526,f506]) ).
fof(f1751,plain,
! [X0] :
( szszuzczcdt0(X0) = szszuzczcdt0(sK41(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1737,f524]) ).
fof(f1737,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK41(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f526,f523]) ).
fof(f526,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK41(X0)) = X0 ),
inference(cnf_transformation,[],[f315]) ).
fof(f1735,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0)
| slcrc0 = sdtlbdtrb0(xN,X0) ),
inference(subsumption_resolution,[],[f1733,f1149]) ).
fof(f1733,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0)
| slcrc0 = sdtlbdtrb0(xN,X0)
| ~ aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0) ),
inference(resolution,[],[f1729,f638]) ).
fof(f1734,plain,
! [X0] :
( aElementOf0(sK46(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0)
| slcrc0 = sdtlbdtrb0(xN,X0) ),
inference(subsumption_resolution,[],[f1732,f1156]) ).
fof(f1732,plain,
! [X0] :
( aElementOf0(sK46(sdtlbdtrb0(xN,X0)),szNzAzT0)
| ~ aElement0(X0)
| slcrc0 = sdtlbdtrb0(xN,X0)
| ~ aSet0(sdtlbdtrb0(xN,X0)) ),
inference(resolution,[],[f1729,f557]) ).
fof(f1729,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f1722,f468]) ).
fof(f1722,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElement0(X1) ),
inference(resolution,[],[f512,f1149]) ).
fof(f1728,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(subsumption_resolution,[],[f1721,f470]) ).
fof(f1721,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| aElementOf0(X0,szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(resolution,[],[f512,f558]) ).
fof(f1718,plain,
! [X0,X1] :
( ~ aElementOf0(X0,X1)
| aElementOf0(X0,slbdtrb0(sK44(X1)))
| ~ aSet0(slbdtrb0(sK44(X1)))
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(resolution,[],[f512,f550]) ).
fof(f512,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f456,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X3) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1,X2,X3] :
( ( ~ aElementOf0(X1,szDzozmdt0(X0))
& sbrdtbr0(X1) = X2
& aSubsetOf0(X1,X3)
& ! [X4] :
( aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1) )
& aSet0(X1) )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP2(X3,X7,X0,X1) ),
inference(nnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X3,X7,X0,X1] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ sP2(X3,X7,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1048,plain,
! [X0] :
( aElement0(szszuzczcdt0(sK41(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f525,f748]) ).
fof(f1692,plain,
( ~ sP13(szDzozmdt0(xc),sdtexdt0(xc,szDzozmdt0(xc)))
| ~ sP5(sdtexdt0(xc,szDzozmdt0(xc)))
| aElement0(sK29(sdtexdt0(xc,szDzozmdt0(xc)))) ),
inference(superposition,[],[f1478,f1671]) ).
fof(f1691,plain,
( sP13(szDzozmdt0(xc),sdtexdt0(xc,szDzozmdt0(xc)))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f828,f1671]) ).
fof(f1690,plain,
( sP11(szDzozmdt0(xc),sdtexdt0(xc,szDzozmdt0(xc)))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f822,f1671]) ).
fof(f1689,plain,
( ~ aSet0(sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)))
| aElement0(sK29(sdtexdt0(xc,szDzozmdt0(xc))))
| ~ sP5(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f808,f1671]) ).
fof(f1688,plain,
! [X0] :
( aSubsetOf0(sdtlbdtrb0(sdtexdt0(xc,szDzozmdt0(xc)),X0),szDzozmdt0(xc))
| ~ aElement0(X0)
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f558,f1671]) ).
fof(f1687,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElement0(sdtlpdtrp0(sdtexdt0(xc,szDzozmdt0(xc)),X0))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f491,f1671]) ).
fof(f1686,plain,
! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| sP13(X0,sdtexdt0(xc,szDzozmdt0(xc)))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f490,f1671]) ).
fof(f1685,plain,
! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| sP11(X0,sdtexdt0(xc,szDzozmdt0(xc)))
| ~ aFunction0(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f480,f1671]) ).
fof(f1683,plain,
( aElementOf0(sK29(sdtexdt0(xc,szDzozmdt0(xc))),sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)))
| ~ sP5(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f446,f1671]) ).
fof(f1682,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)),xT)
| ~ sP8(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f436,f1671]) ).
fof(f1681,plain,
( aSet0(sdtlcdtrc0(sdtexdt0(xc,szDzozmdt0(xc)),szDzozmdt0(xc)))
| ~ sP8(sdtexdt0(xc,szDzozmdt0(xc))) ),
inference(superposition,[],[f433,f1671]) ).
fof(f1671,plain,
szDzozmdt0(xc) = szDzozmdt0(sdtexdt0(xc,szDzozmdt0(xc))),
inference(resolution,[],[f951,f380]) ).
fof(f1680,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| ~ isFinite0(sK27(X0,X1,X2,X3)) ),
inference(subsumption_resolution,[],[f1679,f437]) ).
fof(f1679,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| ~ isFinite0(sK27(X0,X1,X2,X3))
| ~ aSet0(sK27(X0,X1,X2,X3)) ),
inference(resolution,[],[f440,f542]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( isCountable0(sK27(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1673,plain,
! [X0,X1] :
( szDzozmdt0(sdtexdt0(X0,X1)) = szDzozmdt0(sdtexdt0(sdtexdt0(X0,X1),szDzozmdt0(sdtexdt0(X0,X1))))
| ~ sP11(X1,X0) ),
inference(resolution,[],[f951,f908]) ).
fof(f951,plain,
! [X0] :
( ~ aFunction0(X0)
| szDzozmdt0(X0) = szDzozmdt0(sdtexdt0(X0,szDzozmdt0(X0))) ),
inference(resolution,[],[f907,f822]) ).
fof(f1654,plain,
sdtlseqdt0(xK,xK),
inference(subsumption_resolution,[],[f1651,f662]) ).
fof(f1651,plain,
( sdtlseqdt0(xK,xK)
| ~ sP15(xK) ),
inference(resolution,[],[f1648,f799]) ).
fof(f1658,plain,
sdtlseqdt0(xK,xK),
inference(subsumption_resolution,[],[f1657,f662]) ).
fof(f1657,plain,
( ~ sP15(xK)
| sdtlseqdt0(xK,xK) ),
inference(forward_demodulation,[],[f1656,f420]) ).
fof(f1656,plain,
( sdtlseqdt0(xK,xK)
| ~ sP15(szszuzczcdt0(xk)) ),
inference(forward_demodulation,[],[f1655,f420]) ).
fof(f1655,plain,
( sdtlseqdt0(xK,szszuzczcdt0(xk))
| ~ sP15(szszuzczcdt0(xk)) ),
inference(subsumption_resolution,[],[f1652,f419]) ).
fof(f1652,plain,
( sdtlseqdt0(xK,szszuzczcdt0(xk))
| ~ sP15(szszuzczcdt0(xk))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f1648,f652]) ).
fof(f1648,plain,
! [X0] :
( ~ aElementOf0(xk,slbdtrb0(X0))
| sdtlseqdt0(xK,X0)
| ~ sP15(X0) ),
inference(superposition,[],[f1067,f420]) ).
fof(f1067,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ sP15(X1) ),
inference(resolution,[],[f531,f633]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f1044,f648]) ).
fof(f1044,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[],[f500,f542]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isCountable0(X0) ),
inference(subsumption_resolution,[],[f1042,f645]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f499,f542]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( aSet0(sK27(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f397,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f462,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ( ~ aElementOf0(sK33(X1),szNzAzT0)
& aElementOf0(sK33(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f223,f287]) ).
fof(f287,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK33(X1),szNzAzT0)
& aElementOf0(sK33(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f110,f222,f221,f220,f219,f218,f217,f216,f215]) ).
fof(f216,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP2(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP3(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f217,plain,
! [X3] :
( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
| ~ sP4(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f218,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP5(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f219,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP6(X10,X3,X0,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f221,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP5(X3)
& sP4(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP8(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f222,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP7(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP8(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP3(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP9(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X1)
| ~ aElementOf0(X14,X11) )
& aSet0(X11) )
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
& ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(X3))
& sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X1)
| ~ aElementOf0(X8,X7) )
& aSet0(X7) )
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) ) )
| ~ aFunction0(X3) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( ~ aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X3] :
( ( ( ( ! [X4] :
( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
=> ( aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ! [X6] :
( aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3)))
=> aElementOf0(X6,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X3)
| ! [X7] :
( ( ( sbrdtbr0(X7) = X0
& aSubsetOf0(X7,X1)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,X1) )
& aSet0(X7) )
=> aElementOf0(X7,szDzozmdt0(X3)) )
& ( aElementOf0(X7,szDzozmdt0(X3))
=> ( sbrdtbr0(X7) = X0
& ( aSubsetOf0(X7,X1)
| ( ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,X1) )
& aSet0(X7) ) ) ) ) ) )
& aFunction0(X3) )
=> ( iLess0(X0,xK)
=> ? [X10] :
( ? [X11] :
( ! [X12] :
( ( aElementOf0(X12,slbdtsldtrb0(X11,X0))
| ( sbrdtbr0(X12) = X0
& ( aSubsetOf0(X12,X11)
| ( ! [X13] :
( aElementOf0(X13,X12)
=> aElementOf0(X13,X11) )
& aSet0(X12) ) ) ) )
=> sdtlpdtrp0(X3,X12) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X14] :
( aElementOf0(X14,X11)
=> aElementOf0(X14,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
<=> ? [X4] :
( sdtlpdtrp0(X2,X4) = X3
& aElementOf0(X4,szDzozmdt0(X2)) ) )
& aSet0(sdtlcdtrc0(X2,szDzozmdt0(X2))) )
=> ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
=> aElementOf0(X3,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
| ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) )
=> aElementOf0(X3,szDzozmdt0(X2)) )
& ( aElementOf0(X3,szDzozmdt0(X2))
=> ( sbrdtbr0(X3) = X0
& ( aSubsetOf0(X3,X1)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) ) ) ) ) ) )
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
| ( sbrdtbr0(X5) = X0
& ( aSubsetOf0(X5,X4)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X4) )
& aSet0(X5) ) ) ) )
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1)
& ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3398) ).
fof(f1545,plain,
( sP15(szszuzczcdt0(sK22))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sK22))) ),
inference(superposition,[],[f768,f1513]) ).
fof(f1546,plain,
( xK != szszuzczcdt0(sK22)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sK22)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(sK22))) ),
inference(superposition,[],[f1357,f1513]) ).
fof(f1544,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sK22)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sK22))) ),
inference(superposition,[],[f767,f1513]) ).
fof(f1543,plain,
( aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sK22))) ),
inference(superposition,[],[f506,f1513]) ).
fof(f1541,plain,
( sz00 != szszuzczcdt0(sK22)
| slcrc0 = slbdtrb0(szszuzczcdt0(sK22))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sK22))) ),
inference(superposition,[],[f503,f1513]) ).
fof(f1513,plain,
szszuzczcdt0(sK22) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK22))),
inference(resolution,[],[f1510,f773]) ).
fof(f1514,plain,
( sz00 = sK22
| aElement0(sK41(sK22)) ),
inference(resolution,[],[f1510,f1051]) ).
fof(f1526,plain,
( xK != sK22
| ~ aSubsetOf0(slbdtrb0(sK22),xS)
| aSet0(slbdtrb0(sK22)) ),
inference(superposition,[],[f1357,f1516]) ).
fof(f1521,plain,
( sz00 != sK22
| slcrc0 = slbdtrb0(sK22)
| ~ aSet0(slbdtrb0(sK22)) ),
inference(superposition,[],[f503,f1516]) ).
fof(f1516,plain,
sK22 = sbrdtbr0(slbdtrb0(sK22)),
inference(resolution,[],[f1510,f522]) ).
fof(f1517,plain,
aElement0(szszuzczcdt0(sK22)),
inference(resolution,[],[f1510,f748]) ).
fof(f1518,plain,
sP15(sK22),
inference(resolution,[],[f1510,f536]) ).
fof(f1510,plain,
aElementOf0(sK22,szNzAzT0),
inference(subsumption_resolution,[],[f1505,f422]) ).
fof(f1505,plain,
( aElementOf0(sK22,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f426,f374]) ).
fof(f1512,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(subsumption_resolution,[],[f1508,f427]) ).
fof(f1508,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(resolution,[],[f426,f638]) ).
fof(f1511,plain,
! [X0] :
( aElementOf0(sK46(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(subsumption_resolution,[],[f1507,f425]) ).
fof(f1507,plain,
! [X0] :
( aElementOf0(sK46(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f426,f557]) ).
fof(f1506,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP1(X0) ),
inference(resolution,[],[f426,f395]) ).
fof(f426,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f1485,plain,
! [X0] :
( aElement0(sK29(X0))
| ~ sP5(X0)
| ~ aFunction0(X0) ),
inference(resolution,[],[f1478,f828]) ).
fof(f1478,plain,
! [X0] :
( ~ sP13(szDzozmdt0(X0),X0)
| ~ sP5(X0)
| aElement0(sK29(X0)) ),
inference(resolution,[],[f808,f909]) ).
fof(f1484,plain,
! [X0] :
( aElement0(sK29(X0))
| ~ sP8(X0) ),
inference(subsumption_resolution,[],[f1477,f435]) ).
fof(f1477,plain,
! [X0] :
( aElement0(sK29(X0))
| ~ sP5(X0)
| ~ sP8(X0) ),
inference(resolution,[],[f808,f433]) ).
fof(f1481,plain,
( ~ aSet0(sdtlcdtrc0(sdtexdt0(xN,xS),xS))
| aElement0(sK29(sdtexdt0(xN,xS)))
| ~ sP5(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f808,f965]) ).
fof(f1480,plain,
( ~ aSet0(sdtlcdtrc0(sdtexdt0(xN,szNzAzT0),szNzAzT0))
| aElement0(sK29(sdtexdt0(xN,szNzAzT0)))
| ~ sP5(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f808,f952]) ).
fof(f808,plain,
! [X0] :
( ~ aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElement0(sK29(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f446,f507]) ).
fof(f1441,plain,
( aElementOf0(sK23(szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0) ),
inference(resolution,[],[f390,f638]) ).
fof(f1442,plain,
( aElementOf0(sK23(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f1440,f389]) ).
fof(f1440,plain,
( aElementOf0(sK23(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f390,f557]) ).
fof(f390,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK23(X1),szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f1387,plain,
( ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(trivial_inequality_removal,[],[f1382]) ).
fof(f1382,plain,
( xK != xK
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(superposition,[],[f1357,f775]) ).
fof(f1394,plain,
( ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(global_subsumption,[],[f378,f621,f391,f390,f386,f385,f401,f400,f397,f396,f406,f622,f404,f403,f412,f411,f410,f654,f653,f656,f426,f432,f431,f430,f429,f441,f440,f439,f438,f437,f445,f623,f624,f625,f626,f449,f448,f454,f453,f452,f451,f456,f462,f461,f460,f464,f463,f472,f471,f474,f628,f629,f477,f482,f489,f488,f487,f631,f485,f484,f492,f496,f495,f494,f493,f632,f508,f509,f510,f514,f513,f512,f526,f535,f534,f533,f532,f537,f538,f539,f540,f634,f544,f548,f547,f635,f636,f554,f553,f637,f560,f567,f566,f565,f642,f563,f562,f569,f577,f657,f576,f575,f574,f572,f571,f580,f588,f587,f658,f586,f585,f584,f591,f592,f594,f593,f597,f596,f595,f599,f606,f605,f604,f650,f602,f608,f609,f610,f611,f613,f612,f615,f614,f617,f616,f619,f620,f380,f407,f413,f414,f415,f418,f465,f468,f469,f640,f373,f377,f379,f417,f419,f421,f422,f466,f639,f374,f375,f408,f420,f398,f434,f435,f467,f659,f389,f409,f470,f501,f502,f529,f536,f376,f662,f663,f664,f665,f661,f381,f388,f394,f416,f447,f475,f483,f515,f516,f517,f542,f669,f670,f561,f600,f671,f673,f633,f676,f674,f383,f425,f428,f655,f684,f399,f685,f402,f433,f701,f455,f507,f717,f718,f719,f511,f720,f716,f518,f738,f519,f740,f520,f521,f742,f744,f523,f745,f748,f752,f754,f755,f750,f524,f568,f646,f682,f697,f751,f384,f427,f436,f763,f457,f476,f505,f506,f522,f774,f775,f776,f777,f778,f768,f607,f645,f648,f652,f799,f767,f393,f446,f808,f810,f809,f458,f459,f480,f823,f822,f825,f490,f829,f828,f831,f503,f834,f835,f836,f528,f530,f541,f851,f549,f852,f854,f856,f557,f871,f865,f866,f867,f874,f873,f875,f570,f870,f581,f627,f908,f630,f909,f641,f913,f643,f649,f915,f914,f916,f797,f934,f843,f949,f907,f951,f382,f952,f955,f956,f957,f959,f960,f962,f950,f964,f965,f966,f967,f968,f970,f971,f973,f853,f961,f395,f996,f997,f972,f491,f1036,f1037,f1041,f497,f498,f499,f1043,f500,f1045,f525,f1046,f1047,f1048,f1049,f1051,f1054,f1059,f1060,f531,f1067,f1064,f1056,f1057,f1058,f1063,f550,f1098,f558,f1147,f1149,f1152,f1153,f1156,f1148,f1172,f872,f582,f1145,f1235,f1146,f601,f1244,f638,f1247,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f644,f1276,f647,f1301,f1302,f1277,f1303,f773,f1323,f1324,f1330,f1331,f1326,f1340,f1341,f1342,f1343,f1328,f1347,f1348,f1349,f1350,f387,f1354,f1360,f1329,f1362,f1363,f1364,f1365,f1322,f1369,f1370,f1371,f1372,f1357,f1377,f1388,f1378,f1389,f1379,f1390,f1380,f1391,f1387,f1384,f1393]) ).
fof(f1393,plain,
( xK != xj
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(inner_rewriting,[],[f1384]) ).
fof(f1384,plain,
( xK != xj
| ~ aSubsetOf0(slbdtrb0(xj),xS)
| aSet0(slbdtrb0(xj)) ),
inference(superposition,[],[f1357,f777]) ).
fof(f1391,plain,
( xK != szszuzczcdt0(xi)
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(inner_rewriting,[],[f1380]) ).
fof(f1380,plain,
( xK != szszuzczcdt0(xi)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xi)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f1357,f1329]) ).
fof(f1390,plain,
( xK != szszuzczcdt0(xj)
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(inner_rewriting,[],[f1379]) ).
fof(f1379,plain,
( xK != szszuzczcdt0(xj)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f1357,f1328]) ).
fof(f1389,plain,
( xK != szszuzczcdt0(xK)
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(inner_rewriting,[],[f1378]) ).
fof(f1378,plain,
( xK != szszuzczcdt0(xK)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xK)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f1357,f1326]) ).
fof(f1388,plain,
( xK != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(xK),xS)
| aSet0(slbdtrb0(xK)) ),
inference(inner_rewriting,[],[f1377]) ).
fof(f1377,plain,
( xK != szszuzczcdt0(sz00)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(sz00)),xS)
| aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f1357,f1322]) ).
fof(f1357,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| aSet0(X0) ),
inference(resolution,[],[f387,f381]) ).
fof(f1372,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f506,f1322]) ).
fof(f1371,plain,
( sP15(szszuzczcdt0(sz00))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f768,f1322]) ).
fof(f1370,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f767,f1322]) ).
fof(f1369,plain,
( sz00 != szszuzczcdt0(sz00)
| slcrc0 = slbdtrb0(szszuzczcdt0(sz00))
| ~ aSet0(slbdtrb0(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f503,f1322]) ).
fof(f1322,plain,
szszuzczcdt0(sz00) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))),
inference(resolution,[],[f773,f466]) ).
fof(f1365,plain,
( aElementOf0(szszuzczcdt0(xi),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f506,f1329]) ).
fof(f1364,plain,
( sP15(szszuzczcdt0(xi))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f768,f1329]) ).
fof(f1363,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xi)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f767,f1329]) ).
fof(f1362,plain,
( sz00 != szszuzczcdt0(xi)
| slcrc0 = slbdtrb0(szszuzczcdt0(xi))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xi))) ),
inference(superposition,[],[f503,f1329]) ).
fof(f1329,plain,
szszuzczcdt0(xi) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xi))),
inference(resolution,[],[f773,f422]) ).
fof(f1360,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| aElement0(sdtlpdtrp0(xc,X0)) ),
inference(subsumption_resolution,[],[f1358,f380]) ).
fof(f1358,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| aElement0(sdtlpdtrp0(xc,X0))
| ~ aFunction0(xc) ),
inference(resolution,[],[f387,f491]) ).
fof(f1354,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(resolution,[],[f387,f382]) ).
fof(f387,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f249]) ).
fof(f1350,plain,
( aElementOf0(szszuzczcdt0(xj),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xj)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f506,f1328]) ).
fof(f1349,plain,
( sP15(szszuzczcdt0(xj))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xj)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f768,f1328]) ).
fof(f1348,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xj)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xj)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f767,f1328]) ).
fof(f1347,plain,
( sz00 != szszuzczcdt0(xj)
| slcrc0 = slbdtrb0(szszuzczcdt0(xj))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xj))) ),
inference(superposition,[],[f503,f1328]) ).
fof(f1328,plain,
szszuzczcdt0(xj) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xj))),
inference(resolution,[],[f773,f421]) ).
fof(f1343,plain,
( aElementOf0(szszuzczcdt0(xK),szNzAzT0)
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xK)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f506,f1326]) ).
fof(f1342,plain,
( sP15(szszuzczcdt0(xK))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xK)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f768,f1326]) ).
fof(f1341,plain,
( aElement0(szszuzczcdt0(szszuzczcdt0(xK)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xK)))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f767,f1326]) ).
fof(f1340,plain,
( sz00 != szszuzczcdt0(xK)
| slcrc0 = slbdtrb0(szszuzczcdt0(xK))
| ~ aSet0(slbdtrb0(szszuzczcdt0(xK))) ),
inference(superposition,[],[f503,f1326]) ).
fof(f1326,plain,
szszuzczcdt0(xK) = sbrdtbr0(slbdtrb0(szszuzczcdt0(xK))),
inference(resolution,[],[f773,f379]) ).
fof(f1331,plain,
! [X0] :
( szszuzczcdt0(sK44(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK44(X0))))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f773,f549]) ).
fof(f1330,plain,
! [X0] :
( szszuzczcdt0(sK41(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK41(X0))))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f773,f525]) ).
fof(f1324,plain,
! [X0] :
( szszuzczcdt0(sbrdtbr0(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sbrdtbr0(X0))))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f773,f506]) ).
fof(f1323,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f773,f523]) ).
fof(f773,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = sbrdtbr0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(resolution,[],[f522,f523]) ).
fof(f1303,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f647,f646]) ).
fof(f1277,plain,
! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f1275]) ).
fof(f1275,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f644,f643]) ).
fof(f1302,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f647,f581]) ).
fof(f1301,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtmndt0(X1,X0))
| aElementOf0(X2,X1) ),
inference(resolution,[],[f647,f582]) ).
fof(f647,plain,
! [X0,X1] :
( sP19(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X2,X0,X1] :
( sP19(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP19(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f357]) ).
fof(f357,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP19(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP19(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f185,f238]) ).
fof(f238,plain,
! [X1,X0,X2] :
( sP19(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f185,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,[],[f184]) ).
fof(f184,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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f1276,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtpldt0(X1,X0))
| aElement0(X2) ),
inference(resolution,[],[f644,f570]) ).
fof(f644,plain,
! [X0,X1] :
( sP18(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f579]) ).
fof(f579,plain,
! [X2,X0,X1] :
( sP18(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP18(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP18(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f350]) ).
fof(f350,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP18(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP18(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP18(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f183,f236]) ).
fof(f183,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,[],[f182]) ).
fof(f182,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/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f1260,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(resolution,[],[f638,f393]) ).
fof(f1259,plain,
! [X0] :
( slcrc0 = szDzozmdt0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szNzAzT0)
| aElement0(sdtlpdtrp0(X0,szmzizndt0(szDzozmdt0(X0))))
| ~ aFunction0(X0) ),
inference(resolution,[],[f638,f491]) ).
fof(f1258,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSet0(szmzizndt0(szDzozmdt0(xc))) ),
inference(resolution,[],[f638,f381]) ).
fof(f1257,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| aSubsetOf0(szmzizndt0(szDzozmdt0(xc)),xS) ),
inference(resolution,[],[f638,f383]) ).
fof(f1256,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| xK = sbrdtbr0(szmzizndt0(szDzozmdt0(xc))) ),
inference(resolution,[],[f638,f384]) ).
fof(f1255,plain,
! [X0] :
( slcrc0 = szDzozmdt0(xc)
| ~ aSubsetOf0(szDzozmdt0(xc),szNzAzT0)
| ~ aElementOf0(X0,szmzizndt0(szDzozmdt0(xc)))
| aElementOf0(X0,xS) ),
inference(resolution,[],[f638,f382]) ).
fof(f1254,plain,
! [X0] :
( slcrc0 = slbdtrb0(X0)
| ~ aSubsetOf0(slbdtrb0(X0),szNzAzT0)
| aElementOf0(szmzizndt0(slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0) ),
inference(resolution,[],[f638,f843]) ).
fof(f1247,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f638,f507]) ).
fof(f638,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f551]) ).
fof(f551,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK45(X0,X1))
& aElementOf0(sK45(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,[sK45])],[f331,f332]) ).
fof(f332,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK45(X0,X1))
& aElementOf0(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f331,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,[],[f330]) ).
fof(f330,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,[],[f329]) ).
fof(f329,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,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f173]) ).
fof(f173,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/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f1244,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| aSubsetOf0(X0,X1)
| ~ sP21(X1,X2) ),
inference(resolution,[],[f601,f649]) ).
fof(f601,plain,
! [X2,X0,X1,X4] :
( ~ sP20(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1146,plain,
! [X0,X1] :
( sP13(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP13(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) ),
inference(resolution,[],[f558,f490]) ).
fof(f1235,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElement0(X1)
| sdtlbdtrb0(X0,X1) = szDzozmdt0(sdtexdt0(X0,sdtlbdtrb0(X0,X1))) ),
inference(resolution,[],[f1145,f907]) ).
fof(f1145,plain,
! [X0,X1] :
( sP11(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| sP11(sdtlbdtrb0(X1,X0),X1)
| ~ aFunction0(X1) ),
inference(resolution,[],[f558,f480]) ).
fof(f582,plain,
! [X2,X0,X1,X4] :
( ~ sP19(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ( sP19(X0,X1,X2)
| ( ( sK49(X0,X1,X2) = X0
| ~ aElementOf0(sK49(X0,X1,X2),X1)
| ~ aElement0(sK49(X0,X1,X2))
| ~ aElementOf0(sK49(X0,X1,X2),X2) )
& ( ( sK49(X0,X1,X2) != X0
& aElementOf0(sK49(X0,X1,X2),X1)
& aElement0(sK49(X0,X1,X2)) )
| aElementOf0(sK49(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) ) )
| ~ sP19(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f354,f355]) ).
fof(f355,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) ) )
=> ( ( sK49(X0,X1,X2) = X0
| ~ aElementOf0(sK49(X0,X1,X2),X1)
| ~ aElement0(sK49(X0,X1,X2))
| ~ aElementOf0(sK49(X0,X1,X2),X2) )
& ( ( sK49(X0,X1,X2) != X0
& aElementOf0(sK49(X0,X1,X2),X1)
& aElement0(sK49(X0,X1,X2)) )
| aElementOf0(sK49(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0,X1,X2] :
( ( sP19(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) ) )
| ~ sP19(X0,X1,X2) ) ),
inference(rectify,[],[f353]) ).
fof(f353,plain,
! [X1,X0,X2] :
( ( sP19(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) ) )
| ~ sP19(X1,X0,X2) ) ),
inference(flattening,[],[f352]) ).
fof(f352,plain,
! [X1,X0,X2] :
( ( sP19(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) ) )
| ~ sP19(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f872,plain,
( slcrc0 = szNzAzT0
| aElement0(szszuzczcdt0(sK46(szNzAzT0))) ),
inference(subsumption_resolution,[],[f863,f468]) ).
fof(f863,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(sK46(szNzAzT0))) ),
inference(resolution,[],[f557,f748]) ).
fof(f1172,plain,
( sz00 = sK46(szNzAzT0)
| aElement0(sK41(sK46(szNzAzT0)))
| slcrc0 = szNzAzT0 ),
inference(subsumption_resolution,[],[f1062,f468]) ).
fof(f1062,plain,
( sz00 = sK46(szNzAzT0)
| aElement0(sK41(sK46(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1051,f557]) ).
fof(f1148,plain,
! [X0,X1] :
( aSet0(sdtlbdtrb0(X1,X0))
| ~ aFunction0(X1)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f1139,f470]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSet0(sdtlbdtrb0(X1,X0))
| ~ aSet0(szDzozmdt0(X1)) ),
inference(resolution,[],[f558,f511]) ).
fof(f1156,plain,
! [X0] :
( aSet0(sdtlbdtrb0(xN,X0))
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f1155,f468]) ).
fof(f1155,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(sdtlbdtrb0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1149,f511]) ).
fof(f1153,plain,
! [X0] :
( ~ aElement0(X0)
| ~ isFinite0(sdtlbdtrb0(xN,X0))
| aElement0(sK44(sdtlbdtrb0(xN,X0))) ),
inference(resolution,[],[f1149,f856]) ).
fof(f1152,plain,
! [X0] :
( ~ aElement0(X0)
| sdtlbdtrb0(xN,X0) = szDzozmdt0(sdtexdt0(xN,sdtlbdtrb0(xN,X0))) ),
inference(resolution,[],[f1149,f950]) ).
fof(f1149,plain,
! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f1140,f407]) ).
fof(f1140,plain,
! [X0] :
( aSubsetOf0(sdtlbdtrb0(xN,X0),szNzAzT0)
| ~ aElement0(X0)
| ~ aFunction0(xN) ),
inference(superposition,[],[f558,f408]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1)) ),
inference(subsumption_resolution,[],[f1138,f470]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aFunction0(X1)
| isFinite0(sdtlbdtrb0(X1,X0))
| ~ isFinite0(szDzozmdt0(X1))
| ~ aSet0(szDzozmdt0(X1)) ),
inference(resolution,[],[f558,f541]) ).
fof(f558,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
fof(f1098,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0)
| ~ aSet0(slbdtrb0(sK44(X0))) ),
inference(resolution,[],[f550,f511]) ).
fof(f550,plain,
! [X0] :
( aSubsetOf0(X0,slbdtrb0(sK44(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK44(X0)))
& aElementOf0(sK44(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f172,f327]) ).
fof(f327,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK44(X0)))
& aElementOf0(sK44(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f1063,plain,
! [X0] :
( aElement0(sK41(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1053,f524]) ).
fof(f1053,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| aElement0(sK41(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1051,f523]) ).
fof(f1058,plain,
( sz00 = xi
| aElement0(sK41(xi)) ),
inference(resolution,[],[f1051,f422]) ).
fof(f1057,plain,
( sz00 = xj
| aElement0(sK41(xj)) ),
inference(resolution,[],[f1051,f421]) ).
fof(f1056,plain,
( sz00 = xk
| aElement0(sK41(xk)) ),
inference(resolution,[],[f1051,f419]) ).
fof(f1064,plain,
aElement0(sK41(xK)),
inference(subsumption_resolution,[],[f1055,f377]) ).
fof(f1055,plain,
( sz00 = xK
| aElement0(sK41(xK)) ),
inference(resolution,[],[f1051,f379]) ).
fof(f531,plain,
! [X3,X0,X1] :
( ~ sP14(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f1060,plain,
! [X0] :
( sz00 = sK44(X0)
| aElement0(sK41(sK44(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1051,f549]) ).
fof(f1059,plain,
! [X0] :
( sz00 = sK41(X0)
| aElement0(sK41(sK41(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f1051,f525]) ).
fof(f1054,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| aElement0(sK41(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f1051,f506]) ).
fof(f1051,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElement0(sK41(X0)) ),
inference(subsumption_resolution,[],[f1050,f468]) ).
fof(f1050,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK41(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f525,f507]) ).
fof(f1049,plain,
! [X0] :
( sP15(sK41(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(resolution,[],[f525,f536]) ).
fof(f1047,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sK41(X0) = sbrdtbr0(slbdtrb0(sK41(X0))) ),
inference(resolution,[],[f525,f522]) ).
fof(f1046,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK41(X0)) ),
inference(resolution,[],[f525,f934]) ).
fof(f500,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,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/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f499,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,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/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(f498,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,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/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f497,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,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/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f1041,plain,
aElement0(xS),
inference(subsumption_resolution,[],[f1040,f466]) ).
fof(f1040,plain,
( aElement0(xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f1037,f409]) ).
fof(f1037,plain,
! [X0] :
( aElement0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1031,f407]) ).
fof(f1031,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(sdtlpdtrp0(xN,X0))
| ~ aFunction0(xN) ),
inference(superposition,[],[f491,f408]) ).
fof(f1036,plain,
! [X0] :
( aElement0(sdtlpdtrp0(X0,sK46(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0) ),
inference(subsumption_resolution,[],[f1030,f470]) ).
fof(f1030,plain,
! [X0] :
( aElement0(sdtlpdtrp0(X0,sK46(szDzozmdt0(X0))))
| ~ aFunction0(X0)
| slcrc0 = szDzozmdt0(X0)
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f491,f557]) ).
fof(f491,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( aElement0(sdtlpdtrp0(X0,X1))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgElm) ).
fof(f972,plain,
( sP11(xS,sdtexdt0(xN,xS))
| ~ aFunction0(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f822,f965]) ).
fof(f997,plain,
( aElementOf0(szmzizndt0(xS),xS)
| ~ sP1(sz00) ),
inference(superposition,[],[f395,f409]) ).
fof(f996,plain,
! [X0] :
( ~ sP1(X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f395,f507]) ).
fof(f395,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f961,plain,
( sP11(szNzAzT0,sdtexdt0(xN,szNzAzT0))
| ~ aFunction0(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f822,f952]) ).
fof(f853,plain,
! [X0] :
( aElement0(szszuzczcdt0(sK44(X0)))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f549,f748]) ).
fof(f973,plain,
( sP13(xS,sdtexdt0(xN,xS))
| ~ aFunction0(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f828,f965]) ).
fof(f971,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| sP13(X0,sdtexdt0(xN,xS))
| ~ aFunction0(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f490,f965]) ).
fof(f970,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| sP11(X0,sdtexdt0(xN,xS))
| ~ aFunction0(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f480,f965]) ).
fof(f968,plain,
( aElementOf0(sK29(sdtexdt0(xN,xS)),sdtlcdtrc0(sdtexdt0(xN,xS),xS))
| ~ sP5(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f446,f965]) ).
fof(f967,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sdtexdt0(xN,xS),xS),xT)
| ~ sP8(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f436,f965]) ).
fof(f966,plain,
( aSet0(sdtlcdtrc0(sdtexdt0(xN,xS),xS))
| ~ sP8(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f433,f965]) ).
fof(f965,plain,
xS = szDzozmdt0(sdtexdt0(xN,xS)),
inference(resolution,[],[f950,f417]) ).
fof(f964,plain,
! [X0] :
( sdtlpdtrp0(xN,X0) = szDzozmdt0(sdtexdt0(xN,sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f950,f427]) ).
fof(f950,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| szDzozmdt0(sdtexdt0(xN,X0)) = X0 ),
inference(resolution,[],[f907,f823]) ).
fof(f962,plain,
( sP13(szNzAzT0,sdtexdt0(xN,szNzAzT0))
| ~ aFunction0(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f828,f952]) ).
fof(f960,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP13(X0,sdtexdt0(xN,szNzAzT0))
| ~ aFunction0(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f490,f952]) ).
fof(f959,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X0,sdtexdt0(xN,szNzAzT0))
| ~ aFunction0(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f480,f952]) ).
fof(f957,plain,
( aElementOf0(sK29(sdtexdt0(xN,szNzAzT0)),sdtlcdtrc0(sdtexdt0(xN,szNzAzT0),szNzAzT0))
| ~ sP5(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f446,f952]) ).
fof(f956,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sdtexdt0(xN,szNzAzT0),szNzAzT0),xT)
| ~ sP8(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f436,f952]) ).
fof(f955,plain,
( aSet0(sdtlcdtrc0(sdtexdt0(xN,szNzAzT0),szNzAzT0))
| ~ sP8(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f433,f952]) ).
fof(f952,plain,
szNzAzT0 = szDzozmdt0(sdtexdt0(xN,szNzAzT0)),
inference(resolution,[],[f907,f825]) ).
fof(f382,plain,
! [X6,X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| ~ aElementOf0(X6,X4)
| aElementOf0(X6,xS) ),
inference(cnf_transformation,[],[f249]) ).
fof(f907,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ),
inference(resolution,[],[f627,f476]) ).
fof(f949,plain,
! [X0] :
( aElementOf0(sK46(slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0)
| slcrc0 = slbdtrb0(X0) ),
inference(subsumption_resolution,[],[f947,f674]) ).
fof(f947,plain,
! [X0] :
( aElementOf0(sK46(slbdtrb0(X0)),szNzAzT0)
| ~ sP15(X0)
| slcrc0 = slbdtrb0(X0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f843,f557]) ).
fof(f843,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP15(X1) ),
inference(resolution,[],[f530,f633]) ).
fof(f934,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f932,f745]) ).
fof(f932,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP15(szszuzczcdt0(X0)) ),
inference(resolution,[],[f797,f674]) ).
fof(f797,plain,
! [X0] :
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| aElement0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f652,f507]) ).
fof(f916,plain,
( aSet0(szDzozmdt0(xc))
| ~ sP21(xS,xK) ),
inference(superposition,[],[f914,f388]) ).
fof(f914,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ sP21(X0,X1) ),
inference(resolution,[],[f649,f600]) ).
fof(f915,plain,
( sP20(xK,xS,szDzozmdt0(xc))
| ~ sP21(xS,xK) ),
inference(superposition,[],[f649,f388]) ).
fof(f649,plain,
! [X0,X1] :
( sP20(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP21(X0,X1) ),
inference(equality_resolution,[],[f598]) ).
fof(f598,plain,
! [X2,X0,X1] :
( sP20(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f363]) ).
fof(f643,plain,
! [X2,X1,X4] :
( ~ sP18(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f913,plain,
! [X0,X1] :
( aSet0(sdtlbdtrb0(X0,X1))
| ~ sP17(X0,X1) ),
inference(resolution,[],[f641,f561]) ).
fof(f641,plain,
! [X0,X1] :
( sP16(X1,X0,sdtlbdtrb0(X0,X1))
| ~ sP17(X0,X1) ),
inference(equality_resolution,[],[f559]) ).
fof(f559,plain,
! [X2,X0,X1] :
( sP16(X1,X0,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f909,plain,
! [X0,X1] :
( aSet0(sdtlcdtrc0(X1,X0))
| ~ sP13(X0,X1) ),
inference(resolution,[],[f630,f483]) ).
fof(f630,plain,
! [X0,X1] :
( sP12(X1,X0,sdtlcdtrc0(X1,X0))
| ~ sP13(X0,X1) ),
inference(equality_resolution,[],[f481]) ).
fof(f481,plain,
! [X2,X0,X1] :
( sP12(X1,X0,X2)
| sdtlcdtrc0(X1,X0) != X2
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f908,plain,
! [X0,X1] :
( aFunction0(sdtexdt0(X1,X0))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f627,f475]) ).
fof(f627,plain,
! [X0,X1] :
( sP10(sdtexdt0(X1,X0),X1,X0)
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X2,X0,X1] :
( sP10(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f581,plain,
! [X2,X0,X1,X4] :
( ~ sP19(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f356]) ).
fof(f870,plain,
! [X0] :
( aElement0(sK46(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f860,plain,
! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK46(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f557,f507]) ).
fof(f570,plain,
! [X2,X0,X1,X4] :
( ~ sP18(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f349]) ).
fof(f875,plain,
( slcrc0 = xS
| aElementOf0(sK46(xS),szNzAzT0) ),
inference(subsumption_resolution,[],[f869,f415]) ).
fof(f869,plain,
( slcrc0 = xS
| ~ aSet0(xS)
| aElementOf0(sK46(xS),szNzAzT0) ),
inference(resolution,[],[f557,f416]) ).
fof(f873,plain,
( slcrc0 = szNzAzT0
| sP15(sK46(szNzAzT0)) ),
inference(subsumption_resolution,[],[f864,f468]) ).
fof(f864,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP15(sK46(szNzAzT0)) ),
inference(resolution,[],[f557,f536]) ).
fof(f874,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| aElementOf0(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(subsumption_resolution,[],[f868,f389]) ).
fof(f868,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK46(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
inference(resolution,[],[f557,f393]) ).
fof(f867,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSet0(sK46(szDzozmdt0(xc))) ),
inference(resolution,[],[f557,f381]) ).
fof(f866,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| aSubsetOf0(sK46(szDzozmdt0(xc)),xS) ),
inference(resolution,[],[f557,f383]) ).
fof(f865,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| xK = sbrdtbr0(sK46(szDzozmdt0(xc))) ),
inference(resolution,[],[f557,f384]) ).
fof(f871,plain,
( slcrc0 = szNzAzT0
| sK46(szNzAzT0) = sbrdtbr0(slbdtrb0(sK46(szNzAzT0))) ),
inference(subsumption_resolution,[],[f862,f468]) ).
fof(f862,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sK46(szNzAzT0) = sbrdtbr0(slbdtrb0(sK46(szNzAzT0))) ),
inference(resolution,[],[f557,f522]) ).
fof(f557,plain,
! [X0] :
( aElementOf0(sK46(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK46(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f336,f337]) ).
fof(f337,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK46(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f335]) ).
fof(f335,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,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/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f856,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| aElement0(sK44(X0)) ),
inference(subsumption_resolution,[],[f855,f468]) ).
fof(f855,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElement0(sK44(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f549,f507]) ).
fof(f854,plain,
! [X0] :
( sP15(sK44(X0))
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f549,f536]) ).
fof(f852,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| sK44(X0) = sbrdtbr0(slbdtrb0(sK44(X0))) ),
inference(resolution,[],[f549,f522]) ).
fof(f549,plain,
! [X0] :
( aElementOf0(sK44(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f851,plain,
isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(subsumption_resolution,[],[f850,f413]) ).
fof(f850,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT) ),
inference(subsumption_resolution,[],[f847,f414]) ).
fof(f847,plain,
( isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ isFinite0(xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f541,f394]) ).
fof(f541,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,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/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(f530,plain,
! [X3,X0,X1] :
( ~ sP14(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f528,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| slbdtrb0(X0) = X1
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP14(X0,X1) )
& ( sP14(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP14(X0,X1) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f836,plain,
( sz00 != xi
| slcrc0 = slbdtrb0(xi)
| ~ aSet0(slbdtrb0(xi)) ),
inference(superposition,[],[f503,f778]) ).
fof(f835,plain,
( sz00 != xj
| slcrc0 = slbdtrb0(xj)
| ~ aSet0(slbdtrb0(xj)) ),
inference(superposition,[],[f503,f777]) ).
fof(f834,plain,
( sz00 != xk
| slcrc0 = slbdtrb0(xk)
| ~ aSet0(slbdtrb0(xk)) ),
inference(superposition,[],[f503,f776]) ).
fof(f503,plain,
! [X0] :
( sz00 != sbrdtbr0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,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/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f831,plain,
sP13(szNzAzT0,xN),
inference(subsumption_resolution,[],[f830,f407]) ).
fof(f830,plain,
( sP13(szNzAzT0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f828,f408]) ).
fof(f828,plain,
! [X0] :
( sP13(szDzozmdt0(X0),X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f826,f470]) ).
fof(f826,plain,
! [X0] :
( sP13(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f490,f502]) ).
fof(f829,plain,
! [X0] :
( sP13(X0,xN)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f827,f407]) ).
fof(f827,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP13(X0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f490,f408]) ).
fof(f490,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP13(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( sP13(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f117,f228,f227]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(f825,plain,
sP11(szNzAzT0,xN),
inference(subsumption_resolution,[],[f824,f407]) ).
fof(f824,plain,
( sP11(szNzAzT0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f822,f408]) ).
fof(f822,plain,
! [X0] :
( sP11(szDzozmdt0(X0),X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f820,f470]) ).
fof(f820,plain,
! [X0] :
( sP11(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f480,f502]) ).
fof(f823,plain,
! [X0] :
( sP11(X0,xN)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f821,f407]) ).
fof(f821,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(X0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f480,f408]) ).
fof(f480,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP11(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( sP11(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f116,f225,f224]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sP10(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| ~ aElementOf0(X1,szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f286]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| sbrdtbr0(X1) = X2 ),
inference(cnf_transformation,[],[f286]) ).
fof(f809,plain,
( aElementOf0(sK29(xN),sdtlcdtrc0(xN,szNzAzT0))
| ~ sP5(xN) ),
inference(superposition,[],[f446,f408]) ).
fof(f810,plain,
~ sP5(xc),
inference(subsumption_resolution,[],[f807,f447]) ).
fof(f807,plain,
( ~ sP5(xc)
| aElementOf0(sK29(xc),xT) ),
inference(resolution,[],[f446,f393]) ).
fof(f446,plain,
! [X0] :
( aElementOf0(sK29(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( ~ aElementOf0(sK29(X0),xT)
& aElementOf0(sK29(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f273,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( ~ aElementOf0(sK29(X0),xT)
& aElementOf0(sK29(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP5(X0) ),
inference(rectify,[],[f272]) ).
fof(f272,plain,
! [X3] :
( ? [X6] :
( ~ aElementOf0(X6,xT)
& aElementOf0(X6,sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP5(X3) ),
inference(nnf_transformation,[],[f218]) ).
fof(f393,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f249]) ).
fof(f767,plain,
! [X0] :
( aElement0(szszuzczcdt0(sbrdtbr0(X0)))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f506,f748]) ).
fof(f799,plain,
aElementOf0(xk,slbdtrb0(xK)),
inference(subsumption_resolution,[],[f798,f419]) ).
fof(f798,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f652,f420]) ).
fof(f652,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f651]) ).
fof(f651,plain,
! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f618]) ).
fof(f618,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 != X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(f648,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f645,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f578]) ).
fof(f578,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f607,plain,
! [X0,X1] :
( sP21(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( sP21(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f193,f241,f240]) ).
fof(f193,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f768,plain,
! [X0] :
( sP15(sbrdtbr0(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(resolution,[],[f506,f536]) ).
fof(f778,plain,
xi = sbrdtbr0(slbdtrb0(xi)),
inference(resolution,[],[f522,f422]) ).
fof(f777,plain,
xj = sbrdtbr0(slbdtrb0(xj)),
inference(resolution,[],[f522,f421]) ).
fof(f776,plain,
xk = sbrdtbr0(slbdtrb0(xk)),
inference(resolution,[],[f522,f419]) ).
fof(f775,plain,
xK = sbrdtbr0(slbdtrb0(xK)),
inference(resolution,[],[f522,f379]) ).
fof(f774,plain,
! [X0] :
( sbrdtbr0(X0) = sbrdtbr0(slbdtrb0(sbrdtbr0(X0)))
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f522,f506]) ).
fof(f522,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(f506,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,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/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f505,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| szDzozmdt0(X0) = X2 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK34(X0,X1,X2)) != sdtlpdtrp0(X1,sK34(X0,X1,X2))
& aElementOf0(sK34(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f293,f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK34(X0,X1,X2)) != sdtlpdtrp0(X1,sK34(X0,X1,X2))
& aElementOf0(sK34(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f292]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ( sP10(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP10(X2,X0,X1) ) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ( sP10(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP10(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f457,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aSubsetOf0(X1,X3) ),
inference(cnf_transformation,[],[f286]) ).
fof(f763,plain,
~ sP8(xc),
inference(resolution,[],[f436,f394]) ).
fof(f436,plain,
! [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& sP5(X0)
& sP4(X0)
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
| ~ sP8(X0) ),
inference(rectify,[],[f262]) ).
fof(f262,plain,
! [X3] :
( ( ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& sP5(X3)
& sP4(X3)
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
| ~ sP8(X3) ),
inference(nnf_transformation,[],[f221]) ).
fof(f427,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f384,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| xK = sbrdtbr0(X4) ),
inference(cnf_transformation,[],[f249]) ).
fof(f751,plain,
! [X0] :
( aElement0(szszuzczcdt0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f748,f523]) ).
fof(f697,plain,
! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f695,f399]) ).
fof(f695,plain,
! [X0] :
( ~ sP1(X0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(resolution,[],[f402,f542]) ).
fof(f682,plain,
! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f680,f425]) ).
fof(f680,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f428,f542]) ).
fof(f646,plain,
! [X2,X1,X4] :
( ~ sP19(X4,X1,X2)
| ~ aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f568,plain,
! [X0,X1] :
( sP17(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( sP17(X0,X1)
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f179,f234,f233]) ).
fof(f179,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
fof(f524,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,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/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f750,plain,
aElement0(szszuzczcdt0(sz00)),
inference(resolution,[],[f748,f466]) ).
fof(f755,plain,
aElement0(szszuzczcdt0(xi)),
inference(resolution,[],[f748,f422]) ).
fof(f754,plain,
aElement0(szszuzczcdt0(xj)),
inference(resolution,[],[f748,f421]) ).
fof(f752,plain,
aElement0(szszuzczcdt0(xK)),
inference(resolution,[],[f748,f379]) ).
fof(f748,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f746,f468]) ).
fof(f746,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f523,f507]) ).
fof(f745,plain,
! [X0] :
( sP15(szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f523,f536]) ).
fof(f523,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f744,plain,
sdtlseqdt0(xk,xK),
inference(subsumption_resolution,[],[f743,f419]) ).
fof(f743,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f521,f420]) ).
fof(f742,plain,
iLess0(xk,xK),
inference(subsumption_resolution,[],[f741,f419]) ).
fof(f741,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f520,f420]) ).
fof(f521,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,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/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f520,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f740,plain,
~ sdtlseqdt0(xK,sz00),
inference(subsumption_resolution,[],[f739,f419]) ).
fof(f739,plain,
( ~ sdtlseqdt0(xK,sz00)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f519,f420]) ).
fof(f519,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,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/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f738,plain,
xK != xk,
inference(subsumption_resolution,[],[f737,f419]) ).
fof(f737,plain,
( xK != xk
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f518,f420]) ).
fof(f518,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,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/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f716,plain,
( aElement0(sK22)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[],[f507,f374]) ).
fof(f720,plain,
aElement0(xi),
inference(subsumption_resolution,[],[f715,f468]) ).
fof(f715,plain,
( aElement0(xi)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f507,f422]) ).
fof(f511,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f719,plain,
aElement0(xj),
inference(subsumption_resolution,[],[f714,f468]) ).
fof(f714,plain,
( aElement0(xj)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f507,f421]) ).
fof(f718,plain,
aElement0(xk),
inference(subsumption_resolution,[],[f713,f468]) ).
fof(f713,plain,
( aElement0(xk)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f507,f419]) ).
fof(f717,plain,
aElement0(xK),
inference(subsumption_resolution,[],[f712,f468]) ).
fof(f712,plain,
( aElement0(xK)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f507,f379]) ).
fof(f507,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f455,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aSet0(X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f701,plain,
( aSet0(sdtlcdtrc0(xN,szNzAzT0))
| ~ sP8(xN) ),
inference(superposition,[],[f433,f408]) ).
fof(f433,plain,
! [X0] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f402,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f685,plain,
( aSet0(sdtlpdtrp0(xN,xK))
| ~ sP1(xk) ),
inference(superposition,[],[f399,f420]) ).
fof(f399,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f684,plain,
xK != xi,
inference(subsumption_resolution,[],[f683,f419]) ).
fof(f683,plain,
( xK != xi
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f655,f420]) ).
fof(f655,plain,
! [X1] :
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(global_subsumption,[],[f376,f375,f374,f373,f377,f378,f379,f394,f393,f621,f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f402,f401,f400,f399,f398,f397,f396,f395,f406,f622,f404,f403,f412,f411,f410,f409,f408,f407,f414,f413,f418,f417,f416,f415,f420,f419,f422,f421,f654]) ).
fof(f428,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f425,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f383,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f249]) ).
fof(f674,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ sP15(X0) ),
inference(resolution,[],[f633,f529]) ).
fof(f676,plain,
sP14(sz00,slcrc0),
inference(subsumption_resolution,[],[f675,f661]) ).
fof(f675,plain,
( sP14(sz00,slcrc0)
| ~ sP15(sz00) ),
inference(superposition,[],[f633,f467]) ).
fof(f633,plain,
! [X0] :
( sP14(X0,slbdtrb0(X0))
| ~ sP15(X0) ),
inference(equality_resolution,[],[f527]) ).
fof(f527,plain,
! [X0,X1] :
( sP14(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f673,plain,
aElement0(sz00),
inference(subsumption_resolution,[],[f672,f640]) ).
fof(f672,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f501,f671]) ).
fof(f671,plain,
sz00 = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f632,f640]) ).
fof(f600,plain,
! [X2,X0,X1] :
( ~ sP20(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f368]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ sP16(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f670,plain,
~ isFinite0(szNzAzT0),
inference(subsumption_resolution,[],[f668,f468]) ).
fof(f668,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f542,f469]) ).
fof(f669,plain,
~ isFinite0(xS),
inference(subsumption_resolution,[],[f667,f415]) ).
fof(f667,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f542,f418]) ).
fof(f542,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,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/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f517,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f516,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,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/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f515,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f447,plain,
! [X0] :
( ~ aElementOf0(sK29(X0),xT)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f416,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f394,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f249]) ).
fof(f388,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f249]) ).
fof(f381,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) ),
inference(cnf_transformation,[],[f249]) ).
fof(f661,plain,
sP15(sz00),
inference(resolution,[],[f536,f466]) ).
fof(f665,plain,
sP15(xi),
inference(resolution,[],[f536,f422]) ).
fof(f664,plain,
sP15(xj),
inference(resolution,[],[f536,f421]) ).
fof(f663,plain,
sP15(xk),
inference(resolution,[],[f536,f419]) ).
fof(f662,plain,
sP15(xK),
inference(resolution,[],[f536,f379]) ).
fof(f376,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f244]) ).
fof(f536,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP15(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP15(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f152,f231,f230]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f529,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f502,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f501,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f470,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(f389,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f249]) ).
fof(f659,plain,
~ isCountable0(slcrc0),
inference(subsumption_resolution,[],[f634,f640]) ).
fof(f467,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f435,plain,
! [X0] :
( ~ sP8(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f434,plain,
! [X0] :
( ~ sP8(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f398,plain,
! [X0] :
( ~ sP1(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f420,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f408,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f256]) ).
fof(f639,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f556]) ).
fof(f556,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f338]) ).
fof(f466,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f422,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f419,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f417,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f105]) ).
fof(f379,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f377,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f373,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f244]) ).
fof(f640,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f555]) ).
fof(f555,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f338]) ).
fof(f469,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f468,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f465,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f418,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f105]) ).
fof(f415,plain,
aSet0(xS),
inference(cnf_transformation,[],[f105]) ).
fof(f414,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f413,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f407,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f256]) ).
fof(f380,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f249]) ).
fof(f620,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f210]) ).
fof(f210,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/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f619,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f616,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f617,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f614,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(f615,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f612,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,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,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f202]) ).
fof(f202,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/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f613,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f611,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f200]) ).
fof(f200,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/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f610,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f198]) ).
fof(f198,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/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f609,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f196]) ).
fof(f196,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/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f608,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( slcrc0 != X1
& slcrc0 != X0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
fof(f604,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| aSubsetOf0(sK52(X0,X1,X2),X1)
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f368]) ).
fof(f605,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sbrdtbr0(sK52(X0,X1,X2)) = X0
| aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f368]) ).
fof(f606,plain,
! [X2,X0,X1] :
( sP20(X0,X1,X2)
| sbrdtbr0(sK52(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK52(X0,X1,X2),X1)
| ~ aElementOf0(sK52(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f368]) ).
fof(f595,plain,
! [X2,X0,X1] :
( aSubsetOf0(sK51(X0,X1,X2),X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0,X1] :
( ! [X2] :
( ( aSubsetOf0(X2,slbdtsldtrb0(sK51(X0,X1,X2),X1))
& isFinite0(sK51(X0,X1,X2))
& aSubsetOf0(sK51(X0,X1,X2),X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f191,f361]) ).
fof(f361,plain,
! [X0,X1,X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
=> ( aSubsetOf0(X2,slbdtsldtrb0(sK51(X0,X1,X2),X1))
& isFinite0(sK51(X0,X1,X2))
& aSubsetOf0(sK51(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) )
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelExtra) ).
fof(f596,plain,
! [X2,X0,X1] :
( isFinite0(sK51(X0,X1,X2))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f597,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,slbdtsldtrb0(sK51(X0,X1,X2),X1))
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f593,plain,
! [X0,X1] :
( aSubsetOf0(sK50(X0,X1),X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0,X1] :
( ( sbrdtbr0(sK50(X0,X1)) = X1
& aSubsetOf0(sK50(X0,X1),X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f189,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
=> ( sbrdtbr0(sK50(X0,X1)) = X1
& aSubsetOf0(sK50(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) )
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,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/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f594,plain,
! [X0,X1] :
( sbrdtbr0(sK50(X0,X1)) = X1
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f592,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,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/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f591,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP19(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f584,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f585,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| aElement0(sK49(X0,X1,X2))
| aElementOf0(sK49(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f586,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| aElementOf0(sK49(X0,X1,X2),X1)
| aElementOf0(sK49(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f658,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK49(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f587]) ).
fof(f587,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK49(X0,X1,X2) != X0
| aElementOf0(sK49(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f588,plain,
! [X2,X0,X1] :
( sP19(X0,X1,X2)
| sK49(X0,X1,X2) = X0
| ~ aElementOf0(sK49(X0,X1,X2),X1)
| ~ aElement0(sK49(X0,X1,X2))
| ~ aElementOf0(sK49(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f356]) ).
fof(f580,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP18(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f571,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f574,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| aElement0(sK48(X0,X1,X2))
| aElementOf0(sK48(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f575,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| sK48(X0,X1,X2) = X0
| aElementOf0(sK48(X0,X1,X2),X1)
| aElementOf0(sK48(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f576,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| ~ aElementOf0(sK48(X0,X1,X2),X1)
| ~ aElement0(sK48(X0,X1,X2))
| ~ aElementOf0(sK48(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f657,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| sK48(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f577]) ).
fof(f577,plain,
! [X2,X0,X1] :
( sP18(X0,X1,X2)
| sK48(X0,X1,X2) != X0
| ~ aElement0(sK48(X0,X1,X2))
| ~ aElementOf0(sK48(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f569,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,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/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f642,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP16(sdtlpdtrp0(X1,X4),X1,X2) ),
inference(equality_resolution,[],[f564]) ).
fof(f564,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != X0
| ~ aElementOf0(X4,szDzozmdt0(X1))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f565,plain,
! [X2,X0,X1] :
( sP16(X0,X1,X2)
| aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1))
| aElementOf0(sK47(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f566,plain,
! [X2,X0,X1] :
( sP16(X0,X1,X2)
| sdtlpdtrp0(X1,sK47(X0,X1,X2)) = X0
| aElementOf0(sK47(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f567,plain,
! [X2,X0,X1] :
( sP16(X0,X1,X2)
| sdtlpdtrp0(X1,sK47(X0,X1,X2)) != X0
| ~ aElementOf0(sK47(X0,X1,X2),szDzozmdt0(X1))
| ~ aElementOf0(sK47(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f637,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f552]) ).
fof(f552,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f553,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| aElementOf0(sK45(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f554,plain,
! [X0,X1] :
( szmzizndt0(X0) = X1
| ~ sdtlseqdt0(X1,sK45(X0,X1))
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f635,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f546]) ).
fof(f546,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f547,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| aElementOf0(sK43(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f548,plain,
! [X0,X1] :
( szmzazxdt0(X0) = X1
| ~ sdtlseqdt0(sK43(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f544,plain,
! [X0,X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( isCountable0(slbdtsldtrb0(X0,X1))
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) )
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(f634,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f543]) ).
fof(f543,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,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/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f539,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,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/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f537,plain,
! [X2,X0,X1] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1,X2] :
( aSubsetOf0(X1,X2)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( sz00 != X0
& aSet0(X2)
& aSet0(X1) )
=> ( ( slcrc0 != slbdtsldtrb0(X1,X0)
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelSub) ).
fof(f533,plain,
! [X0,X1] :
( sP14(X0,X1)
| aElementOf0(sK42(X0,X1),szNzAzT0)
| aElementOf0(sK42(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f534,plain,
! [X0,X1] :
( sP14(X0,X1)
| sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
| aElementOf0(sK42(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f535,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK42(X0,X1)),X0)
| ~ aElementOf0(sK42(X0,X1),szNzAzT0)
| ~ aElementOf0(sK42(X0,X1),X1)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f510,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,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/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(f632,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f504]) ).
fof(f504,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f493,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK38(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK39(X0)) = sdtlpdtrp0(X0,sK38(X0))
& sK38(X0) != sK39(X0)
& aElementOf0(sK39(X0),szDzozmdt0(X0))
& aElementOf0(sK38(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f121,f305]) ).
fof(f305,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK39(X0)) = sdtlpdtrp0(X0,sK38(X0))
& sK38(X0) != sK39(X0)
& aElementOf0(sK39(X0),szDzozmdt0(X0))
& aElementOf0(sK38(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(f494,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK39(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f495,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK38(X0) != sK39(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f496,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK39(X0)) = sdtlpdtrp0(X0,sK38(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f492,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
fof(f485,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK37(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f487,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| aElementOf0(sK36(X0,X1,X2),X1)
| aElementOf0(sK35(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f488,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| sK35(X0,X1,X2) = sdtlpdtrp0(X0,sK36(X0,X1,X2))
| aElementOf0(sK35(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f489,plain,
! [X2,X0,X1,X4] :
( sP12(X0,X1,X2)
| sdtlpdtrp0(X0,X4) != sK35(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(sK35(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f304]) ).
fof(f477,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
fof(f629,plain,
! [X0,X1] :
( sP10(X0,X1,szDzozmdt0(X0))
| aElementOf0(sK34(X0,X1,szDzozmdt0(X0)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f478]) ).
fof(f478,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| aElementOf0(sK34(X0,X1,X2),X2)
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f628,plain,
! [X0,X1] :
( sP10(X0,X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK34(X0,X1,szDzozmdt0(X0))) != sdtlpdtrp0(X1,sK34(X0,X1,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f479]) ).
fof(f479,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| sdtlpdtrp0(X0,sK34(X0,X1,X2)) != sdtlpdtrp0(X1,sK34(X0,X1,X2))
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f472,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f463,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( iLess0(X0,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f464,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f460,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| aElementOf0(sK33(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f461,plain,
! [X0,X1] :
( sP9(X1,X0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK33(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f451,plain,
! [X2,X0,X1] :
( sP2(X2,sK31(X0,X1,X2),X1,X0)
| aElementOf0(sK31(X0,X1,X2),szDzozmdt0(X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( sP2(X2,sK31(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK31(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK31(X0,X1,X2),X0)
& ( ( ~ aElementOf0(sK32(X0,X1,X2),X0)
& aElementOf0(sK32(X0,X1,X2),sK31(X0,X1,X2)) )
| ~ aSet0(sK31(X0,X1,X2)) ) ) )
& aElementOf0(sK31(X0,X1,X2),szDzozmdt0(X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f281,f283,f282]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
=> ( sP2(X2,sK31(X0,X1,X2),X1,X0)
| ( ( sbrdtbr0(sK31(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK31(X0,X1,X2),X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK31(X0,X1,X2)) )
| ~ aSet0(sK31(X0,X1,X2)) ) ) )
& aElementOf0(sK31(X0,X1,X2),szDzozmdt0(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,sK31(X0,X1,X2)) )
=> ( ~ aElementOf0(sK32(X0,X1,X2),X0)
& aElementOf0(sK32(X0,X1,X2),sK31(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X3,X1,X0)
| ( ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( ~ aElementOf0(X4,X0)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& aElementOf0(X3,szDzozmdt0(X2)) ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f280]) ).
fof(f280,plain,
! [X1,X0,X3] :
( ? [X7] :
( sP2(X3,X7,X0,X1)
| ( ( sbrdtbr0(X7) != X0
| ( ~ aSubsetOf0(X7,X1)
& ( ? [X9] :
( ~ aElementOf0(X9,X1)
& aElementOf0(X9,X7) )
| ~ aSet0(X7) ) ) )
& aElementOf0(X7,szDzozmdt0(X3)) ) )
| ~ sP3(X1,X0,X3) ),
inference(nnf_transformation,[],[f216]) ).
fof(f452,plain,
! [X2,X0,X1] :
( sP2(X2,sK31(X0,X1,X2),X1,X0)
| sbrdtbr0(sK31(X0,X1,X2)) != X1
| aElementOf0(sK32(X0,X1,X2),sK31(X0,X1,X2))
| ~ aSet0(sK31(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f453,plain,
! [X2,X0,X1] :
( sP2(X2,sK31(X0,X1,X2),X1,X0)
| sbrdtbr0(sK31(X0,X1,X2)) != X1
| ~ aElementOf0(sK32(X0,X1,X2),X0)
| ~ aSet0(sK31(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f454,plain,
! [X2,X0,X1] :
( sP2(X2,sK31(X0,X1,X2),X1,X0)
| sbrdtbr0(sK31(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK31(X0,X1,X2),X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f448,plain,
! [X0,X1] :
( aElementOf0(sK30(X0,X1),szDzozmdt0(X0))
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ( sdtlpdtrp0(X0,sK30(X0,X1)) = X1
& aElementOf0(sK30(X0,X1),szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f277,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK30(X0,X1)) = X1
& aElementOf0(sK30(X0,X1),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ! [X2] :
( sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ? [X3] :
( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X3] :
( ! [X4] :
( ( aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ! [X5] :
( sdtlpdtrp0(X3,X5) != X4
| ~ aElementOf0(X5,szDzozmdt0(X3)) ) )
& ( ? [X5] :
( sdtlpdtrp0(X3,X5) = X4
& aElementOf0(X5,szDzozmdt0(X3)) )
| ~ aElementOf0(X4,sdtlcdtrc0(X3,szDzozmdt0(X3))) ) )
| ~ sP4(X3) ),
inference(nnf_transformation,[],[f217]) ).
fof(f449,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,sK30(X0,X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f626,plain,
! [X2,X0] :
( aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f625,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| aElementOf0(sK28(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| aElementOf0(sK28(X3,X4),X4)
| ~ aSet0(X4)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ( ~ aElementOf0(sK28(X3,X4),X3)
& aElementOf0(sK28(X3,X4),X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f269,f270]) ).
fof(f270,plain,
! [X3,X4] :
( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK28(X3,X4),X3)
& aElementOf0(sK28(X3,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( sdtlpdtrp0(X1,X4) = X0
| ( ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
& ( sbrdtbr0(X4) != X2
| ( ~ aSubsetOf0(X4,X3)
& ( ? [X5] :
( ~ aElementOf0(X5,X3)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) ) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(rectify,[],[f268]) ).
fof(f268,plain,
! [X10,X3,X0,X11] :
( ! [X12] :
( sdtlpdtrp0(X3,X12) = X10
| ( ~ aElementOf0(X12,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X12) != X0
| ( ~ aSubsetOf0(X12,X11)
& ( ? [X13] :
( ~ aElementOf0(X13,X11)
& aElementOf0(X13,X12) )
| ~ aSet0(X12) ) ) ) ) )
| ~ sP6(X10,X3,X0,X11) ),
inference(nnf_transformation,[],[f219]) ).
fof(f624,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(sK28(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f443]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aElementOf0(sK28(X3,X4),X3)
| ~ aSet0(X4)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
fof(f623,plain,
! [X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aSubsetOf0(X4,X3)
| ~ sP6(X0,X1,sbrdtbr0(X4),X3) ),
inference(equality_resolution,[],[f444]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| sbrdtbr0(X4) != X2
| ~ aSubsetOf0(X4,X3)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
fof(f445,plain,
! [X2,X3,X0,X1,X4] :
( sdtlpdtrp0(X1,X4) = X0
| ~ aElementOf0(X4,slbdtsldtrb0(X3,X2))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X5] :
( aElementOf0(X5,X3)
| ~ aElementOf0(X5,sK27(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( sP6(X2,X1,X0,sK27(X0,X1,X2,X3))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f429,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ! [X2] :
( ( sP7(X1,X2,sK26(X0,X1,X2),X0)
& aElementOf0(sK26(X0,X1,X2),xT) )
| ~ iLess0(X1,xK)
| sP8(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP3(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP9(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f259,f260]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP7(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
=> ( sP7(X1,X2,sK26(X0,X1,X2),X0)
& aElementOf0(sK26(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
( sP7(X1,X2,X3,X0)
& aElementOf0(X3,xT) )
| ~ iLess0(X1,xK)
| sP8(X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& sP3(X0,X1,X2) )
| ~ aFunction0(X2) )
| ~ sP9(X0,X1) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
! [X1,X0] :
( ! [X3] :
( ? [X10] :
( sP7(X0,X3,X10,X1)
& aElementOf0(X10,xT) )
| ~ iLess0(X0,xK)
| sP8(X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& sP3(X1,X0,X3) )
| ~ aFunction0(X3) )
| ~ sP9(X1,X0) ),
inference(nnf_transformation,[],[f222]) ).
fof(f430,plain,
! [X2,X0,X1] :
( aElementOf0(sK26(X0,X1,X2),xT)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f431,plain,
! [X2,X0,X1] :
( sP7(X1,X2,sK26(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| sP3(X0,X1,X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f432,plain,
! [X2,X0,X1] :
( sP7(X1,X2,sK26(X0,X1,X2),X0)
| ~ iLess0(X1,xK)
| sP8(X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f656,plain,
! [X1] :
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(global_subsumption,[],[f376,f375,f374,f373,f377,f378,f379,f394,f393,f621,f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f402,f401,f400,f399,f398,f397,f396,f395,f406,f622,f404,f403,f412,f411,f410,f409,f408,f407,f414,f413,f418,f417,f416,f415,f420,f419,f422,f421,f654,f655,f653]) ).
fof(f653,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xj,xi) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) )
| ~ sdtlseqdt0(xj,xi)
| ! [X1] :
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) )
| ~ sdtlseqdt0(xj,xi) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
( ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ) )
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ sdtlseqdt0(xj,xi) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ) )
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) )
& sdtlseqdt0(xj,xi) )
=> ( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) ) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
( ( ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) )
& sdtlseqdt0(xj,xi) )
=> ( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786_02) ).
fof(f654,plain,
! [X1] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f424,plain,
! [X1] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xj,xi) ),
inference(cnf_transformation,[],[f257]) ).
fof(f410,plain,
! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aElementOf0(sK25(X0),sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f411,plain,
! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(sK25(X0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f412,plain,
! [X0] :
( sP1(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f403,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(flattening,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f212]) ).
fof(f404,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f622,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f406,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f400,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f401,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f385,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK24(X4),X4)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f249]) ).
fof(f386,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aElementOf0(sK24(X4),xS)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f249]) ).
fof(f378,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(f2963,plain,
( spl53_73
| ~ spl53_74 ),
inference(avatar_split_clause,[],[f2891,f2960,f2956]) ).
fof(f2956,plain,
( spl53_73
<=> aElement0(szDzizrdt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_73])]) ).
fof(f2960,plain,
( spl53_74
<=> isFinite0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_74])]) ).
fof(f2912,plain,
( ~ spl53_71
| spl53_72 ),
inference(avatar_split_clause,[],[f2888,f2909,f2905]) ).
fof(f2905,plain,
( spl53_71
<=> isCountable0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_71])]) ).
fof(f2909,plain,
( spl53_72
<=> aElement0(szDzizrdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_72])]) ).
fof(f2660,plain,
( ~ spl53_55
| spl53_70 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2659,plain,
( $false
| ~ spl53_55
| spl53_70 ),
inference(subsumption_resolution,[],[f2658,f1901]) ).
fof(f1901,plain,
( aElementOf0(sK41(sK22),szNzAzT0)
| ~ spl53_55 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1900,plain,
( spl53_55
<=> aElementOf0(sK41(sK22),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_55])]) ).
fof(f2658,plain,
( ~ aElementOf0(sK41(sK22),szNzAzT0)
| spl53_70 ),
inference(resolution,[],[f2655,f425]) ).
fof(f2655,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK41(sK22)))
| spl53_70 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2654,plain,
( spl53_70
<=> aSet0(sdtlpdtrp0(xN,sK41(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_70])]) ).
fof(f2657,plain,
( ~ spl53_69
| spl53_70
| ~ spl53_55
| spl53_58 ),
inference(avatar_split_clause,[],[f2378,f2054,f1900,f2654,f2650]) ).
fof(f2650,plain,
( spl53_69
<=> sP1(sK41(sK41(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_69])]) ).
fof(f2054,plain,
( spl53_58
<=> sz00 = sK41(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_58])]) ).
fof(f2378,plain,
( aSet0(sdtlpdtrp0(xN,sK41(sK22)))
| ~ sP1(sK41(sK41(sK22)))
| ~ spl53_55
| spl53_58 ),
inference(superposition,[],[f399,f2200]) ).
fof(f2200,plain,
( sK41(sK22) = szszuzczcdt0(sK41(sK41(sK22)))
| ~ spl53_55
| spl53_58 ),
inference(global_subsumption,[],[f378,f386,f385,f401,f400,f396,f406,f622,f404,f403,f412,f411,f410,f654,f653,f656,f432,f431,f430,f429,f441,f438,f445,f623,f624,f625,f626,f449,f448,f454,f453,f452,f451,f461,f460,f464,f463,f472,f471,f628,f629,f477,f489,f488,f487,f631,f485,f484,f492,f496,f495,f494,f493,f632,f508,f509,f510,f514,f513,f535,f534,f533,f532,f537,f538,f539,f634,f544,f548,f547,f635,f636,f554,f553,f637,f560,f567,f566,f565,f642,f563,f569,f577,f657,f576,f575,f574,f572,f571,f580,f588,f587,f658,f586,f585,f584,f591,f592,f594,f593,f597,f596,f595,f599,f606,f605,f604,f608,f609,f610,f611,f613,f612,f615,f614,f617,f616,f619,f620,f380,f407,f413,f414,f415,f418,f465,f468,f469,f640,f373,f377,f379,f417,f419,f421,f422,f466,f639,f374,f375,f408,f420,f398,f434,f435,f467,f659,f389,f409,f470,f501,f502,f529,f536,f376,f662,f663,f664,f665,f661,f381,f388,f394,f416,f447,f475,f483,f515,f516,f517,f542,f669,f670,f561,f600,f671,f673,f633,f676,f674,f383,f425,f428,f655,f684,f399,f685,f402,f433,f701,f455,f507,f717,f718,f719,f511,f720,f716,f518,f738,f519,f740,f520,f521,f742,f744,f523,f745,f748,f752,f754,f755,f750,f524,f568,f646,f682,f697,f751,f384,f427,f436,f763,f457,f476,f505,f506,f522,f774,f775,f776,f777,f778,f768,f607,f645,f648,f652,f799,f767,f393,f446,f810,f809,f458,f459,f480,f823,f822,f825,f490,f829,f828,f831,f503,f834,f835,f836,f528,f530,f541,f851,f549,f852,f854,f856,f557,f871,f865,f866,f867,f874,f873,f875,f570,f870,f581,f627,f908,f630,f909,f641,f913,f643,f649,f915,f914,f916,f797,f934,f843,f949,f907,f382,f952,f955,f956,f957,f959,f960,f962,f950,f964,f965,f966,f967,f968,f970,f971,f973,f853,f961,f395,f996,f997,f972,f491,f1036,f1037,f1041,f497,f498,f499,f500,f525,f1046,f1047,f1049,f1051,f1054,f1059,f1060,f531,f1064,f1056,f1057,f1058,f1063,f550,f1098,f558,f1147,f1149,f1152,f1153,f1156,f1148,f1172,f872,f582,f1145,f1235,f1146,f601,f1244,f638,f1247,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f644,f1276,f647,f1301,f1302,f1277,f1303,f773,f1323,f1324,f1330,f1331,f1326,f1340,f1341,f1342,f1343,f1328,f1347,f1348,f1349,f1350,f387,f1354,f1360,f1329,f1362,f1363,f1364,f1365,f1322,f1369,f1370,f1371,f1372,f1357,f1377,f1388,f1378,f1389,f1379,f1390,f1380,f1391,f1384,f1393,f1394,f1387,f390,f1442,f1441,f808,f1480,f1481,f1484,f1478,f1485,f426,f1506,f1511,f1512,f1510,f1518,f1517,f1516,f1521,f1526,f1514,f1513,f1541,f1543,f1544,f1546,f1545,f462,f397,f437,f1043,f1045,f1067,f1648,f1658,f1654,f951,f1673,f440,f1680,f1671,f1681,f1682,f1683,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1048,f456,f512,f1718,f1728,f1729,f1734,f1735,f526,f1751,f1739,f1746,f1747,f1754,f1787,f1788,f1790,f1791,f1794,f1796,f1801,f1803,f540,f1744,f562,f1898,f602,f1945,f1955,f1958,f650,f1988,f1989,f1990,f1994,f1995,f1997,f2002,f2003,f2004,f2006,f1954,f2038,f2041,f2044,f1960,f391,f2094,f2093,f621,f2108,f2109,f2110,f2112,f439,f2115,f2116,f2118,f2119,f2120,f2121,f474,f482,f2055,f1745,f1957,f1956,f1901,f2192,f2193]) ).
fof(f2193,plain,
( sz00 = sK41(sK22)
| sK41(sK22) = szszuzczcdt0(sK41(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f526]) ).
fof(f2192,plain,
( sK41(sK22) = sbrdtbr0(slbdtrb0(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f522]) ).
fof(f1956,plain,
( sP15(sK41(sK22))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f536]) ).
fof(f1957,plain,
( aElement0(szszuzczcdt0(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f748]) ).
fof(f2055,plain,
( sz00 != sK41(sK22)
| spl53_58 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f1960,plain,
( sz00 = sK41(sK22)
| aElement0(sK41(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f1051]) ).
fof(f2044,plain,
( xK != sK41(sK22)
| ~ aSubsetOf0(slbdtrb0(sK41(sK22)),xS)
| aSet0(slbdtrb0(sK41(sK22)))
| ~ spl53_55 ),
inference(superposition,[],[f1357,f1954]) ).
fof(f2041,plain,
( ! [X0,X1] :
( ~ sP20(sK41(sK22),X0,X1)
| ~ aSubsetOf0(slbdtrb0(sK41(sK22)),X0)
| aElementOf0(slbdtrb0(sK41(sK22)),X1) )
| ~ spl53_55 ),
inference(superposition,[],[f650,f1954]) ).
fof(f2038,plain,
( sz00 != sK41(sK22)
| slcrc0 = slbdtrb0(sK41(sK22))
| ~ aSet0(slbdtrb0(sK41(sK22)))
| ~ spl53_55 ),
inference(superposition,[],[f503,f1954]) ).
fof(f1954,plain,
( sK41(sK22) = sbrdtbr0(slbdtrb0(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f522]) ).
fof(f1958,plain,
( szszuzczcdt0(sK41(sK22)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(sK41(sK22))))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f773]) ).
fof(f1955,plain,
( sz00 = sK41(sK22)
| sK41(sK22) = szszuzczcdt0(sK41(sK41(sK22)))
| ~ spl53_55 ),
inference(resolution,[],[f1901,f526]) ).
fof(f2604,plain,
( ~ spl53_26
| ~ spl53_47 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2603,plain,
( $false
| ~ spl53_26
| ~ spl53_47 ),
inference(subsumption_resolution,[],[f2602,f1510]) ).
fof(f2602,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_26
| ~ spl53_47 ),
inference(subsumption_resolution,[],[f2577,f1094]) ).
fof(f2577,plain,
( sz00 != xi
| ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47 ),
inference(superposition,[],[f655,f1603]) ).
fof(f1603,plain,
( sz00 = szszuzczcdt0(sK22)
| ~ spl53_47 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1601,plain,
( spl53_47
<=> sz00 = szszuzczcdt0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_47])]) ).
fof(f2601,plain,
~ spl53_47,
inference(avatar_contradiction_clause,[],[f2600]) ).
fof(f2600,plain,
( $false
| ~ spl53_47 ),
inference(subsumption_resolution,[],[f2599,f639]) ).
fof(f2599,plain,
( aElementOf0(sK22,slcrc0)
| ~ spl53_47 ),
inference(forward_demodulation,[],[f2598,f467]) ).
fof(f2598,plain,
( aElementOf0(sK22,slbdtrb0(sz00))
| ~ spl53_47 ),
inference(subsumption_resolution,[],[f2576,f1510]) ).
fof(f2576,plain,
( aElementOf0(sK22,slbdtrb0(sz00))
| ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47 ),
inference(superposition,[],[f652,f1603]) ).
fof(f2597,plain,
~ spl53_47,
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2596,plain,
( $false
| ~ spl53_47 ),
inference(subsumption_resolution,[],[f2584,f1510]) ).
fof(f2584,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47 ),
inference(trivial_inequality_removal,[],[f2575]) ).
fof(f2575,plain,
( sz00 != sz00
| ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47 ),
inference(superposition,[],[f524,f1603]) ).
fof(f2595,plain,
( ~ spl53_47
| spl53_56 ),
inference(avatar_contradiction_clause,[],[f2594]) ).
fof(f2594,plain,
( $false
| ~ spl53_47
| spl53_56 ),
inference(subsumption_resolution,[],[f2593,f1510]) ).
fof(f2593,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47
| spl53_56 ),
inference(subsumption_resolution,[],[f2573,f1906]) ).
fof(f1906,plain,
( ~ sdtlseqdt0(sK22,sz00)
| spl53_56 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1904,plain,
( spl53_56
<=> sdtlseqdt0(sK22,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_56])]) ).
fof(f2573,plain,
( sdtlseqdt0(sK22,sz00)
| ~ aElementOf0(sK22,szNzAzT0)
| ~ spl53_47 ),
inference(superposition,[],[f521,f1603]) ).
fof(f2548,plain,
( ~ spl53_41
| ~ spl53_42
| spl53_47
| spl53_67 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2547,plain,
( $false
| ~ spl53_41
| ~ spl53_42
| spl53_47
| spl53_67 ),
inference(subsumption_resolution,[],[f2546,f1587]) ).
fof(f1587,plain,
( aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| ~ spl53_41
| ~ spl53_42 ),
inference(subsumption_resolution,[],[f1586,f1557]) ).
fof(f1557,plain,
( aSet0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ spl53_42 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1556,plain,
( spl53_42
<=> aSet0(slbdtrb0(szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_42])]) ).
fof(f1586,plain,
( aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ spl53_41 ),
inference(subsumption_resolution,[],[f1543,f1553]) ).
fof(f1553,plain,
( isFinite0(slbdtrb0(szszuzczcdt0(sK22)))
| ~ spl53_41 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl53_41
<=> isFinite0(slbdtrb0(szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_41])]) ).
fof(f2546,plain,
( ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_47
| spl53_67 ),
inference(subsumption_resolution,[],[f2545,f1602]) ).
fof(f1602,plain,
( sz00 != szszuzczcdt0(sK22)
| spl53_47 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f2545,plain,
( sz00 = szszuzczcdt0(sK22)
| ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_67 ),
inference(resolution,[],[f2536,f525]) ).
fof(f2536,plain,
( ~ aElementOf0(sK41(szszuzczcdt0(sK22)),szNzAzT0)
| spl53_67 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f2534,plain,
( spl53_67
<=> aElementOf0(sK41(szszuzczcdt0(sK22)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_67])]) ).
fof(f2541,plain,
( ~ spl53_67
| ~ spl53_68
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(avatar_split_clause,[],[f2021,f1601,f1556,f1552,f2538,f2534]) ).
fof(f2538,plain,
( spl53_68
<=> sdtlseqdt0(szszuzczcdt0(sK22),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_68])]) ).
fof(f2021,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK22),sz00)
| ~ aElementOf0(sK41(szszuzczcdt0(sK22)),szNzAzT0)
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(superposition,[],[f519,f1752]) ).
fof(f1752,plain,
( szszuzczcdt0(sK22) = szszuzczcdt0(sK41(szszuzczcdt0(sK22)))
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(subsumption_resolution,[],[f1738,f1602]) ).
fof(f1738,plain,
( sz00 = szszuzczcdt0(sK22)
| szszuzczcdt0(sK22) = szszuzczcdt0(sK41(szszuzczcdt0(sK22)))
| ~ spl53_41
| ~ spl53_42 ),
inference(resolution,[],[f526,f1587]) ).
fof(f2532,plain,
( ~ spl53_41
| ~ spl53_42
| spl53_66 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2531,plain,
( $false
| ~ spl53_41
| ~ spl53_42
| spl53_66 ),
inference(subsumption_resolution,[],[f2530,f1587]) ).
fof(f2530,plain,
( ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_66 ),
inference(resolution,[],[f2526,f425]) ).
fof(f2526,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sK22)))
| spl53_66 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2525,plain,
( spl53_66
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_66])]) ).
fof(f2528,plain,
( ~ spl53_65
| spl53_66
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(avatar_split_clause,[],[f2018,f1601,f1556,f1552,f2525,f2521]) ).
fof(f2521,plain,
( spl53_65
<=> sP1(sK41(szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_65])]) ).
fof(f2018,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sK22)))
| ~ sP1(sK41(szszuzczcdt0(sK22)))
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(superposition,[],[f399,f1752]) ).
fof(f2467,plain,
( ~ spl53_6
| spl53_63 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl53_6
| spl53_63 ),
inference(subsumption_resolution,[],[f2465,f468]) ).
fof(f2465,plain,
( ~ aSet0(szNzAzT0)
| ~ spl53_6
| spl53_63 ),
inference(subsumption_resolution,[],[f2464,f732]) ).
fof(f732,plain,
( aElement0(sK22)
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl53_6
<=> aElement0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f2464,plain,
( ~ aElement0(sK22)
| ~ aSet0(szNzAzT0)
| spl53_63 ),
inference(resolution,[],[f2414,f648]) ).
fof(f2414,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sK22))
| spl53_63 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f2412,plain,
( spl53_63
<=> aSet0(sdtmndt0(szNzAzT0,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_63])]) ).
fof(f2419,plain,
( ~ spl53_63
| ~ spl53_64
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f2363,f730,f2416,f2412]) ).
fof(f2416,plain,
( spl53_64
<=> isFinite0(sdtmndt0(szNzAzT0,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_64])]) ).
fof(f2363,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK22))
| ~ aSet0(sdtmndt0(szNzAzT0,sK22))
| ~ spl53_6 ),
inference(subsumption_resolution,[],[f2362,f732]) ).
fof(f2362,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sK22))
| ~ aSet0(sdtmndt0(szNzAzT0,sK22))
| ~ aElement0(sK22) ),
inference(subsumption_resolution,[],[f2359,f670]) ).
fof(f2359,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sK22))
| ~ aSet0(sdtmndt0(szNzAzT0,sK22))
| ~ aElement0(sK22) ),
inference(superposition,[],[f497,f2240]) ).
fof(f2409,plain,
( ~ spl53_6
| spl53_61 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2408,plain,
( $false
| ~ spl53_6
| spl53_61 ),
inference(subsumption_resolution,[],[f2407,f415]) ).
fof(f2407,plain,
( ~ aSet0(xS)
| ~ spl53_6
| spl53_61 ),
inference(subsumption_resolution,[],[f2406,f732]) ).
fof(f2406,plain,
( ~ aElement0(sK22)
| ~ aSet0(xS)
| spl53_61 ),
inference(resolution,[],[f2400,f648]) ).
fof(f2400,plain,
( ~ aSet0(sdtmndt0(xS,sK22))
| spl53_61 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f2398,plain,
( spl53_61
<=> aSet0(sdtmndt0(xS,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_61])]) ).
fof(f2405,plain,
( ~ spl53_61
| ~ spl53_62
| ~ spl53_5
| ~ spl53_6
| ~ spl53_26 ),
inference(avatar_split_clause,[],[f2354,f1092,f730,f726,f2402,f2398]) ).
fof(f2402,plain,
( spl53_62
<=> isFinite0(sdtmndt0(xS,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_62])]) ).
fof(f726,plain,
( spl53_5
<=> aSet0(sdtlpdtrp0(xN,xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f2354,plain,
( ~ isFinite0(sdtmndt0(xS,sK22))
| ~ aSet0(sdtmndt0(xS,sK22))
| ~ spl53_5
| ~ spl53_6
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f2353,f732]) ).
fof(f2353,plain,
( ~ isFinite0(sdtmndt0(xS,sK22))
| ~ aSet0(sdtmndt0(xS,sK22))
| ~ aElement0(sK22)
| ~ spl53_5
| ~ spl53_26 ),
inference(subsumption_resolution,[],[f2350,f669]) ).
fof(f2350,plain,
( isFinite0(xS)
| ~ isFinite0(sdtmndt0(xS,sK22))
| ~ aSet0(sdtmndt0(xS,sK22))
| ~ aElement0(sK22)
| ~ spl53_5
| ~ spl53_26 ),
inference(superposition,[],[f497,f2249]) ).
fof(f2249,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK22),sK22)
| ~ spl53_5
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2248,f409]) ).
fof(f2248,plain,
( sdtlpdtrp0(xN,sz00) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,sz00),sK22),sK22)
| ~ spl53_5
| ~ spl53_26 ),
inference(forward_demodulation,[],[f2247,f1094]) ).
fof(f2247,plain,
( sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK22),sK22)
| ~ spl53_5 ),
inference(subsumption_resolution,[],[f2222,f727]) ).
fof(f727,plain,
( aSet0(sdtlpdtrp0(xN,xi))
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f2222,plain,
( sdtlpdtrp0(xN,xi) = sdtpldt0(sdtmndt0(sdtlpdtrp0(xN,xi),sK22),sK22)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[],[f508,f374]) ).
fof(f2255,plain,
spl53_59,
inference(avatar_contradiction_clause,[],[f2254]) ).
fof(f2254,plain,
( $false
| spl53_59 ),
inference(subsumption_resolution,[],[f2253,f466]) ).
fof(f2253,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl53_59 ),
inference(resolution,[],[f2187,f523]) ).
fof(f2187,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl53_59 ),
inference(resolution,[],[f2179,f425]) ).
fof(f2179,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| spl53_59 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2178,plain,
( spl53_59
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_59])]) ).
fof(f2189,plain,
( ~ spl53_40
| ~ spl53_41
| ~ spl53_42
| spl53_59 ),
inference(avatar_contradiction_clause,[],[f2188]) ).
fof(f2188,plain,
( $false
| ~ spl53_40
| ~ spl53_41
| ~ spl53_42
| spl53_59 ),
inference(subsumption_resolution,[],[f2187,f1926]) ).
fof(f1926,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ spl53_40
| ~ spl53_41
| ~ spl53_42 ),
inference(superposition,[],[f1587,f1538]) ).
fof(f2185,plain,
( spl53_59
| ~ spl53_60
| ~ spl53_40
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(avatar_split_clause,[],[f2144,f1601,f1556,f1552,f1536,f2182,f2178]) ).
fof(f2182,plain,
( spl53_60
<=> sP1(sK41(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_60])]) ).
fof(f2144,plain,
( ~ sP1(sK41(szszuzczcdt0(sz00)))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ spl53_40
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(forward_demodulation,[],[f2143,f1538]) ).
fof(f2143,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(sz00)))
| ~ sP1(sK41(szszuzczcdt0(sK22)))
| ~ spl53_40
| ~ spl53_41
| ~ spl53_42
| spl53_47 ),
inference(forward_demodulation,[],[f2018,f1538]) ).
fof(f2057,plain,
( spl53_57
| spl53_58
| ~ spl53_55 ),
inference(avatar_split_clause,[],[f1960,f1900,f2054,f2050]) ).
fof(f2050,plain,
( spl53_57
<=> aElement0(sK41(sK41(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_57])]) ).
fof(f1952,plain,
( ~ spl53_40
| spl53_56 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1951,plain,
( $false
| ~ spl53_40
| spl53_56 ),
inference(subsumption_resolution,[],[f1948,f466]) ).
fof(f1948,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl53_40
| spl53_56 ),
inference(resolution,[],[f1938,f516]) ).
fof(f1938,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl53_40
| spl53_56 ),
inference(superposition,[],[f1906,f1538]) ).
fof(f1950,plain,
( ~ spl53_40
| spl53_56 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
fof(f1949,plain,
( $false
| ~ spl53_40
| spl53_56 ),
inference(subsumption_resolution,[],[f1947,f466]) ).
fof(f1947,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl53_40
| spl53_56 ),
inference(resolution,[],[f1938,f517]) ).
fof(f1911,plain,
( spl53_40
| spl53_55 ),
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1910,plain,
( $false
| spl53_40
| spl53_55 ),
inference(subsumption_resolution,[],[f1909,f1510]) ).
fof(f1909,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| spl53_40
| spl53_55 ),
inference(subsumption_resolution,[],[f1908,f1537]) ).
fof(f1537,plain,
( sz00 != sK22
| spl53_40 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1908,plain,
( sz00 = sK22
| ~ aElementOf0(sK22,szNzAzT0)
| spl53_55 ),
inference(resolution,[],[f1902,f525]) ).
fof(f1902,plain,
( ~ aElementOf0(sK41(sK22),szNzAzT0)
| spl53_55 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1907,plain,
( ~ spl53_55
| ~ spl53_56
| spl53_40 ),
inference(avatar_split_clause,[],[f1769,f1536,f1904,f1900]) ).
fof(f1769,plain,
( ~ sdtlseqdt0(sK22,sz00)
| ~ aElementOf0(sK41(sK22),szNzAzT0)
| spl53_40 ),
inference(superposition,[],[f519,f1758]) ).
fof(f1758,plain,
( sK22 = szszuzczcdt0(sK41(sK22))
| spl53_40 ),
inference(subsumption_resolution,[],[f1745,f1537]) ).
fof(f1897,plain,
spl53_54,
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1896,plain,
( $false
| spl53_54 ),
inference(subsumption_resolution,[],[f1895,f1510]) ).
fof(f1895,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| spl53_54 ),
inference(resolution,[],[f1892,f425]) ).
fof(f1892,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK22))
| spl53_54 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1891,plain,
( spl53_54
<=> aSet0(sdtlpdtrp0(xN,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_54])]) ).
fof(f1894,plain,
( ~ spl53_53
| spl53_54
| spl53_40 ),
inference(avatar_split_clause,[],[f1766,f1536,f1891,f1887]) ).
fof(f1887,plain,
( spl53_53
<=> sP1(sK41(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_53])]) ).
fof(f1766,plain,
( aSet0(sdtlpdtrp0(xN,sK22))
| ~ sP1(sK41(sK22))
| spl53_40 ),
inference(superposition,[],[f399,f1758]) ).
fof(f1867,plain,
spl53_26,
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1866,plain,
( $false
| spl53_26 ),
inference(subsumption_resolution,[],[f1865,f422]) ).
fof(f1865,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl53_26 ),
inference(subsumption_resolution,[],[f1864,f1093]) ).
fof(f1093,plain,
( sz00 != xi
| spl53_26 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1864,plain,
( sz00 = xi
| ~ aElementOf0(xi,szNzAzT0)
| spl53_26 ),
inference(resolution,[],[f1861,f525]) ).
fof(f1861,plain,
( ~ aElementOf0(sK41(xi),szNzAzT0)
| spl53_26 ),
inference(trivial_inequality_removal,[],[f1854]) ).
fof(f1854,plain,
( xi != xi
| ~ aElementOf0(sK41(xi),szNzAzT0)
| spl53_26 ),
inference(superposition,[],[f655,f1757]) ).
fof(f1757,plain,
( xi = szszuzczcdt0(sK41(xi))
| spl53_26 ),
inference(subsumption_resolution,[],[f1744,f1093]) ).
fof(f1716,plain,
( ~ spl53_41
| ~ spl53_42
| spl53_50 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1715,plain,
( $false
| ~ spl53_41
| ~ spl53_42
| spl53_50 ),
inference(subsumption_resolution,[],[f1714,f1587]) ).
fof(f1714,plain,
( ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_50 ),
inference(resolution,[],[f1709,f523]) ).
fof(f1709,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(sK22)),szNzAzT0)
| spl53_50 ),
inference(resolution,[],[f1696,f515]) ).
fof(f1696,plain,
( ~ isFinite0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22))))
| spl53_50 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1694,plain,
( spl53_50
<=> isFinite0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_50])]) ).
fof(f1712,plain,
( spl53_51
| ~ spl53_52 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1711,plain,
( $false
| spl53_51
| ~ spl53_52 ),
inference(subsumption_resolution,[],[f1710,f1704]) ).
fof(f1704,plain,
( sP15(szszuzczcdt0(szszuzczcdt0(sK22)))
| ~ spl53_52 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1702,plain,
( spl53_52
<=> sP15(szszuzczcdt0(szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_52])]) ).
fof(f1710,plain,
( ~ sP15(szszuzczcdt0(szszuzczcdt0(sK22)))
| spl53_51 ),
inference(resolution,[],[f1700,f674]) ).
fof(f1700,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22))))
| spl53_51 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1698,plain,
( spl53_51
<=> aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_51])]) ).
fof(f1708,plain,
( ~ spl53_41
| ~ spl53_42
| spl53_52 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1707,plain,
( $false
| ~ spl53_41
| ~ spl53_42
| spl53_52 ),
inference(subsumption_resolution,[],[f1706,f1587]) ).
fof(f1706,plain,
( ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_52 ),
inference(resolution,[],[f1703,f745]) ).
fof(f1703,plain,
( ~ sP15(szszuzczcdt0(szszuzczcdt0(sK22)))
| spl53_52 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1705,plain,
( ~ spl53_50
| ~ spl53_51
| spl53_52
| ~ spl53_41
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f1610,f1556,f1552,f1702,f1698,f1694]) ).
fof(f1610,plain,
( sP15(szszuzczcdt0(szszuzczcdt0(sK22)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22))))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22))))
| ~ spl53_41
| ~ spl53_42 ),
inference(superposition,[],[f768,f1588]) ).
fof(f1588,plain,
( szszuzczcdt0(szszuzczcdt0(sK22)) = sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sK22))))
| ~ spl53_41
| ~ spl53_42 ),
inference(resolution,[],[f1587,f773]) ).
fof(f1642,plain,
( ~ spl53_9
| spl53_48 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f1641,plain,
( $false
| ~ spl53_9
| spl53_48 ),
inference(subsumption_resolution,[],[f1640,f879]) ).
fof(f879,plain,
( sP15(sK46(szNzAzT0))
| ~ spl53_9 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl53_9
<=> sP15(sK46(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f1640,plain,
( ~ sP15(sK46(szNzAzT0))
| spl53_48 ),
inference(resolution,[],[f1630,f674]) ).
fof(f1630,plain,
( ~ aSet0(slbdtrb0(sK46(szNzAzT0)))
| spl53_48 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl53_48
<=> aSet0(slbdtrb0(sK46(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_48])]) ).
fof(f1639,plain,
( spl53_10
| spl53_49 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1638,plain,
( $false
| spl53_10
| spl53_49 ),
inference(subsumption_resolution,[],[f1637,f882]) ).
fof(f882,plain,
( slcrc0 != szNzAzT0
| spl53_10 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl53_10
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f1637,plain,
( slcrc0 = szNzAzT0
| spl53_49 ),
inference(subsumption_resolution,[],[f1636,f468]) ).
fof(f1636,plain,
( ~ aSet0(szNzAzT0)
| slcrc0 = szNzAzT0
| spl53_49 ),
inference(resolution,[],[f1633,f870]) ).
fof(f1633,plain,
( ~ aElement0(sK46(szNzAzT0))
| spl53_49 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1632,plain,
( spl53_49
<=> aElement0(sK46(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_49])]) ).
fof(f1635,plain,
( ~ spl53_48
| spl53_49
| spl53_10 ),
inference(avatar_split_clause,[],[f1617,f881,f1632,f1628]) ).
fof(f1617,plain,
( aElement0(sK46(szNzAzT0))
| ~ aSet0(slbdtrb0(sK46(szNzAzT0)))
| spl53_10 ),
inference(superposition,[],[f501,f1616]) ).
fof(f1616,plain,
( sK46(szNzAzT0) = sbrdtbr0(slbdtrb0(sK46(szNzAzT0)))
| spl53_10 ),
inference(subsumption_resolution,[],[f871,f882]) ).
fof(f1604,plain,
( spl53_46
| spl53_47
| ~ spl53_41
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f1589,f1556,f1552,f1601,f1597]) ).
fof(f1597,plain,
( spl53_46
<=> aElement0(sK41(szszuzczcdt0(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_46])]) ).
fof(f1589,plain,
( sz00 = szszuzczcdt0(sK22)
| aElement0(sK41(szszuzczcdt0(sK22)))
| ~ spl53_41
| ~ spl53_42 ),
inference(resolution,[],[f1587,f1051]) ).
fof(f1583,plain,
( spl53_44
| ~ spl53_45
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f1493,f1008,f1580,f1576]) ).
fof(f1576,plain,
( spl53_44
<=> aElement0(sK29(sdtexdt0(xN,xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_44])]) ).
fof(f1580,plain,
( spl53_45
<=> sP5(sdtexdt0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_45])]) ).
fof(f1008,plain,
( spl53_19
<=> aFunction0(sdtexdt0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_19])]) ).
fof(f1493,plain,
( ~ sP5(sdtexdt0(xN,xS))
| aElement0(sK29(sdtexdt0(xN,xS)))
| ~ spl53_19 ),
inference(subsumption_resolution,[],[f1489,f1029]) ).
fof(f1029,plain,
( sP13(xS,sdtexdt0(xN,xS))
| ~ spl53_19 ),
inference(subsumption_resolution,[],[f973,f1009]) ).
fof(f1009,plain,
( aFunction0(sdtexdt0(xN,xS))
| ~ spl53_19 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1489,plain,
( ~ sP13(xS,sdtexdt0(xN,xS))
| ~ sP5(sdtexdt0(xN,xS))
| aElement0(sK29(sdtexdt0(xN,xS))) ),
inference(superposition,[],[f1478,f965]) ).
fof(f1574,plain,
spl53_41,
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| spl53_41 ),
inference(subsumption_resolution,[],[f1572,f1510]) ).
fof(f1572,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| spl53_41 ),
inference(resolution,[],[f1567,f523]) ).
fof(f1567,plain,
( ~ aElementOf0(szszuzczcdt0(sK22),szNzAzT0)
| spl53_41 ),
inference(resolution,[],[f1554,f515]) ).
fof(f1554,plain,
( ~ isFinite0(slbdtrb0(szszuzczcdt0(sK22)))
| spl53_41 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1570,plain,
( spl53_42
| ~ spl53_43 ),
inference(avatar_contradiction_clause,[],[f1569]) ).
fof(f1569,plain,
( $false
| spl53_42
| ~ spl53_43 ),
inference(subsumption_resolution,[],[f1568,f1562]) ).
fof(f1562,plain,
( sP15(szszuzczcdt0(sK22))
| ~ spl53_43 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl53_43
<=> sP15(szszuzczcdt0(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_43])]) ).
fof(f1568,plain,
( ~ sP15(szszuzczcdt0(sK22))
| spl53_42 ),
inference(resolution,[],[f1558,f674]) ).
fof(f1558,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(sK22)))
| spl53_42 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1566,plain,
spl53_43,
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1565,plain,
( $false
| spl53_43 ),
inference(subsumption_resolution,[],[f1564,f1510]) ).
fof(f1564,plain,
( ~ aElementOf0(sK22,szNzAzT0)
| spl53_43 ),
inference(resolution,[],[f1561,f745]) ).
fof(f1561,plain,
( ~ sP15(szszuzczcdt0(sK22))
| spl53_43 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1563,plain,
( ~ spl53_41
| ~ spl53_42
| spl53_43 ),
inference(avatar_split_clause,[],[f1545,f1560,f1556,f1552]) ).
fof(f1539,plain,
( spl53_39
| spl53_40 ),
inference(avatar_split_clause,[],[f1514,f1536,f1532]) ).
fof(f1532,plain,
( spl53_39
<=> aElement0(sK41(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_39])]) ).
fof(f1502,plain,
( spl53_37
| ~ spl53_38
| ~ spl53_15 ),
inference(avatar_split_clause,[],[f1492,f975,f1499,f1495]) ).
fof(f1495,plain,
( spl53_37
<=> aElement0(sK29(sdtexdt0(xN,szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_37])]) ).
fof(f1499,plain,
( spl53_38
<=> sP5(sdtexdt0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_38])]) ).
fof(f975,plain,
( spl53_15
<=> aFunction0(sdtexdt0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_15])]) ).
fof(f1492,plain,
( ~ sP5(sdtexdt0(xN,szNzAzT0))
| aElement0(sK29(sdtexdt0(xN,szNzAzT0)))
| ~ spl53_15 ),
inference(subsumption_resolution,[],[f1488,f995]) ).
fof(f995,plain,
( sP13(szNzAzT0,sdtexdt0(xN,szNzAzT0))
| ~ spl53_15 ),
inference(subsumption_resolution,[],[f962,f976]) ).
fof(f976,plain,
( aFunction0(sdtexdt0(xN,szNzAzT0))
| ~ spl53_15 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f1488,plain,
( ~ sP13(szNzAzT0,sdtexdt0(xN,szNzAzT0))
| ~ sP5(sdtexdt0(xN,szNzAzT0))
| aElement0(sK29(sdtexdt0(xN,szNzAzT0))) ),
inference(superposition,[],[f1478,f952]) ).
fof(f1408,plain,
spl53_35,
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| spl53_35 ),
inference(subsumption_resolution,[],[f1406,f662]) ).
fof(f1406,plain,
( ~ sP15(xK)
| spl53_35 ),
inference(resolution,[],[f1399,f674]) ).
fof(f1399,plain,
( ~ aSet0(slbdtrb0(xK))
| spl53_35 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl53_35
<=> aSet0(slbdtrb0(xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_35])]) ).
fof(f1405,plain,
( spl53_35
| ~ spl53_36 ),
inference(avatar_split_clause,[],[f1387,f1402,f1398]) ).
fof(f1402,plain,
( spl53_36
<=> aSubsetOf0(slbdtrb0(xK),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_36])]) ).
fof(f1320,plain,
( spl53_33
| spl53_34
| spl53_12 ),
inference(avatar_split_clause,[],[f1278,f890,f1317,f1313]) ).
fof(f1313,plain,
( spl53_33
<=> aElement0(sK41(szmzizndt0(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_33])]) ).
fof(f1317,plain,
( spl53_34
<=> sz00 = szmzizndt0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_34])]) ).
fof(f890,plain,
( spl53_12
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f1278,plain,
( sz00 = szmzizndt0(xS)
| aElement0(sK41(szmzizndt0(xS)))
| spl53_12 ),
inference(resolution,[],[f1271,f1051]) ).
fof(f1271,plain,
( aElementOf0(szmzizndt0(xS),szNzAzT0)
| spl53_12 ),
inference(subsumption_resolution,[],[f1270,f417]) ).
fof(f1270,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzizndt0(xS),szNzAzT0)
| spl53_12 ),
inference(subsumption_resolution,[],[f1261,f891]) ).
fof(f891,plain,
( slcrc0 != xS
| spl53_12 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1261,plain,
( slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[],[f638,f416]) ).
fof(f1295,plain,
spl53_32,
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| spl53_32 ),
inference(subsumption_resolution,[],[f1293,f468]) ).
fof(f1293,plain,
( ~ aSet0(szNzAzT0)
| spl53_32 ),
inference(resolution,[],[f1291,f502]) ).
fof(f1291,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl53_32 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1289,plain,
( spl53_32
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_32])]) ).
fof(f1292,plain,
( spl53_31
| ~ spl53_32
| spl53_10 ),
inference(avatar_split_clause,[],[f1269,f881,f1289,f1285]) ).
fof(f1285,plain,
( spl53_31
<=> sP15(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_31])]) ).
fof(f1269,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP15(szmzizndt0(szNzAzT0))
| spl53_10 ),
inference(subsumption_resolution,[],[f1253,f882]) ).
fof(f1253,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP15(szmzizndt0(szNzAzT0)) ),
inference(resolution,[],[f638,f536]) ).
fof(f1264,plain,
( spl53_12
| spl53_18 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| spl53_12
| spl53_18 ),
inference(subsumption_resolution,[],[f1262,f417]) ).
fof(f1262,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl53_12
| spl53_18 ),
inference(subsumption_resolution,[],[f1246,f891]) ).
fof(f1246,plain,
( slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0)
| spl53_18 ),
inference(resolution,[],[f638,f1004]) ).
fof(f1004,plain,
( ~ aElementOf0(szmzizndt0(xS),xS)
| spl53_18 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl53_18
<=> aElementOf0(szmzizndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_18])]) ).
fof(f1232,plain,
( ~ spl53_10
| ~ spl53_11 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| ~ spl53_10
| ~ spl53_11 ),
inference(subsumption_resolution,[],[f1197,f639]) ).
fof(f1197,plain,
( aElementOf0(sK46(xS),slcrc0)
| ~ spl53_10
| ~ spl53_11 ),
inference(superposition,[],[f888,f883]) ).
fof(f883,plain,
( slcrc0 = szNzAzT0
| ~ spl53_10 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f888,plain,
( aElementOf0(sK46(xS),szNzAzT0)
| ~ spl53_11 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl53_11
<=> aElementOf0(sK46(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f1229,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1189,f465]) ).
fof(f1189,plain,
( ~ isFinite0(slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f670,f883]) ).
fof(f1220,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1181,f659]) ).
fof(f1181,plain,
( isCountable0(slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f469,f883]) ).
fof(f1218,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1179,f639]) ).
fof(f1179,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f466,f883]) ).
fof(f1215,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1177,f639]) ).
fof(f1177,plain,
( aElementOf0(xi,slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f422,f883]) ).
fof(f1213,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1176,f639]) ).
fof(f1176,plain,
( aElementOf0(xj,slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f421,f883]) ).
fof(f1211,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1175,f639]) ).
fof(f1175,plain,
( aElementOf0(xk,slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f419,f883]) ).
fof(f1209,plain,
~ spl53_10,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl53_10 ),
inference(subsumption_resolution,[],[f1173,f639]) ).
fof(f1173,plain,
( aElementOf0(xK,slcrc0)
| ~ spl53_10 ),
inference(superposition,[],[f379,f883]) ).
fof(f1171,plain,
( spl53_29
| spl53_30
| spl53_10 ),
inference(avatar_split_clause,[],[f1066,f881,f1168,f1164]) ).
fof(f1164,plain,
( spl53_29
<=> aElement0(sK41(sK46(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_29])]) ).
fof(f1168,plain,
( spl53_30
<=> sz00 = sK46(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_30])]) ).
fof(f1066,plain,
( sz00 = sK46(szNzAzT0)
| aElement0(sK41(sK46(szNzAzT0)))
| spl53_10 ),
inference(subsumption_resolution,[],[f1065,f468]) ).
fof(f1065,plain,
( sz00 = sK46(szNzAzT0)
| aElement0(sK41(sK46(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl53_10 ),
inference(subsumption_resolution,[],[f1062,f882]) ).
fof(f1127,plain,
~ spl53_12,
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl53_12 ),
inference(subsumption_resolution,[],[f1113,f465]) ).
fof(f1113,plain,
( ~ isFinite0(slcrc0)
| ~ spl53_12 ),
inference(superposition,[],[f669,f892]) ).
fof(f892,plain,
( slcrc0 = xS
| ~ spl53_12 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1125,plain,
~ spl53_12,
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| ~ spl53_12 ),
inference(subsumption_resolution,[],[f1112,f659]) ).
fof(f1112,plain,
( isCountable0(slcrc0)
| ~ spl53_12 ),
inference(superposition,[],[f418,f892]) ).
fof(f1107,plain,
( spl53_27
| spl53_28
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f1061,f886,f1104,f1100]) ).
fof(f1100,plain,
( spl53_27
<=> aElement0(sK41(sK46(xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_27])]) ).
fof(f1104,plain,
( spl53_28
<=> sz00 = sK46(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_28])]) ).
fof(f1061,plain,
( sz00 = sK46(xS)
| aElement0(sK41(sK46(xS)))
| ~ spl53_11 ),
inference(resolution,[],[f1051,f888]) ).
fof(f1095,plain,
( spl53_25
| spl53_26 ),
inference(avatar_split_clause,[],[f1058,f1092,f1088]) ).
fof(f1088,plain,
( spl53_25
<=> aElement0(sK41(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_25])]) ).
fof(f1086,plain,
( spl53_23
| spl53_24 ),
inference(avatar_split_clause,[],[f1057,f1083,f1079]) ).
fof(f1079,plain,
( spl53_23
<=> aElement0(sK41(xj)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f1077,plain,
( spl53_21
| spl53_22 ),
inference(avatar_split_clause,[],[f1056,f1074,f1070]) ).
fof(f1070,plain,
( spl53_21
<=> aElement0(sK41(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_21])]) ).
fof(f1074,plain,
( spl53_22
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f1019,plain,
spl53_19,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| spl53_19 ),
inference(subsumption_resolution,[],[f1017,f417]) ).
fof(f1017,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl53_19 ),
inference(resolution,[],[f1016,f823]) ).
fof(f1016,plain,
( ~ sP11(xS,xN)
| spl53_19 ),
inference(resolution,[],[f1010,f908]) ).
fof(f1010,plain,
( ~ aFunction0(sdtexdt0(xN,xS))
| spl53_19 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1015,plain,
( ~ spl53_19
| spl53_20 ),
inference(avatar_split_clause,[],[f972,f1012,f1008]) ).
fof(f1012,plain,
( spl53_20
<=> sP11(xS,sdtexdt0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_20])]) ).
fof(f1006,plain,
( ~ spl53_17
| spl53_18 ),
inference(avatar_split_clause,[],[f997,f1003,f999]) ).
fof(f999,plain,
( spl53_17
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_17])]) ).
fof(f985,plain,
spl53_15,
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f984,plain,
( $false
| spl53_15 ),
inference(subsumption_resolution,[],[f983,f825]) ).
fof(f983,plain,
( ~ sP11(szNzAzT0,xN)
| spl53_15 ),
inference(resolution,[],[f977,f908]) ).
fof(f977,plain,
( ~ aFunction0(sdtexdt0(xN,szNzAzT0))
| spl53_15 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f982,plain,
( ~ spl53_15
| spl53_16 ),
inference(avatar_split_clause,[],[f961,f979,f975]) ).
fof(f979,plain,
( spl53_16
<=> sP11(szNzAzT0,sdtexdt0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_16])]) ).
fof(f929,plain,
spl53_13,
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f928,plain,
( $false
| spl53_13 ),
inference(subsumption_resolution,[],[f927,f415]) ).
fof(f927,plain,
( ~ aSet0(xS)
| spl53_13 ),
inference(subsumption_resolution,[],[f926,f379]) ).
fof(f926,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| spl53_13 ),
inference(resolution,[],[f920,f607]) ).
fof(f920,plain,
( ~ sP21(xS,xK)
| spl53_13 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl53_13
<=> sP21(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f925,plain,
( ~ spl53_13
| spl53_14 ),
inference(avatar_split_clause,[],[f916,f922,f918]) ).
fof(f922,plain,
( spl53_14
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f912,plain,
spl53_4,
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| spl53_4 ),
inference(subsumption_resolution,[],[f910,f831]) ).
fof(f910,plain,
( ~ sP13(szNzAzT0,xN)
| spl53_4 ),
inference(resolution,[],[f909,f708]) ).
fof(f708,plain,
( ~ aSet0(sdtlcdtrc0(xN,szNzAzT0))
| spl53_4 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f707,plain,
( spl53_4
<=> aSet0(sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f893,plain,
( spl53_11
| spl53_12 ),
inference(avatar_split_clause,[],[f875,f890,f886]) ).
fof(f884,plain,
( spl53_9
| spl53_10 ),
inference(avatar_split_clause,[],[f873,f881,f877]) ).
fof(f819,plain,
( ~ spl53_7
| spl53_8 ),
inference(avatar_split_clause,[],[f809,f816,f812]) ).
fof(f812,plain,
( spl53_7
<=> sP5(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f816,plain,
( spl53_8
<=> aElementOf0(sK29(xN),sdtlcdtrc0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f736,plain,
spl53_5,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl53_5 ),
inference(subsumption_resolution,[],[f734,f422]) ).
fof(f734,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl53_5 ),
inference(resolution,[],[f728,f425]) ).
fof(f728,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| spl53_5 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f733,plain,
( ~ spl53_5
| spl53_6 ),
inference(avatar_split_clause,[],[f716,f730,f726]) ).
fof(f710,plain,
( ~ spl53_3
| spl53_4 ),
inference(avatar_split_clause,[],[f701,f707,f703]) ).
fof(f703,plain,
( spl53_3
<=> sP8(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f700,plain,
spl53_2,
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| spl53_2 ),
inference(subsumption_resolution,[],[f698,f379]) ).
fof(f698,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl53_2 ),
inference(resolution,[],[f692,f425]) ).
fof(f692,plain,
( ~ aSet0(sdtlpdtrp0(xN,xK))
| spl53_2 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl53_2
<=> aSet0(sdtlpdtrp0(xN,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f694,plain,
( ~ spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f685,f691,f687]) ).
fof(f687,plain,
( spl53_1
<=> sP1(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.18 % Problem : NUM574+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.19 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.38 % Computer : n010.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8042.1875MB
% 0.09/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Fri May 3 14:36:23 EDT 2024
% 0.09/0.39 % CPUTime :
% 0.09/0.39 % (18232)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.40 % (18235)WARNING: value z3 for option sas not known
% 0.09/0.41 % (18235)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)
% 0.09/0.41 % (18236)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.41 % (18238)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)
% 0.09/0.41 % (18234)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.41 % (18233)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.41 % (18239)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.41 % (18237)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.43 TRYING [1]
% 0.14/0.43 TRYING [2]
% 0.14/0.46 TRYING [3]
% 0.14/0.49 % (18235)First to succeed.
% 0.14/0.51 % (18235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18232"
% 0.14/0.51 % (18235)Refutation found. Thanks to Tanya!
% 0.14/0.51 % SZS status Theorem for theBenchmark
% 0.14/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.52 % (18235)------------------------------
% 0.14/0.52 % (18235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.52 % (18235)Termination reason: Refutation
% 0.14/0.52
% 0.14/0.52 % (18235)Memory used [KB]: 2403
% 0.14/0.52 % (18235)Time elapsed: 0.106 s
% 0.14/0.52 % (18235)Instructions burned: 231 (million)
% 0.14/0.52 % (18232)Success in time 0.132 s
%------------------------------------------------------------------------------