TSTP Solution File: NUM574+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM574+1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:34:07 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 68
% Syntax : Number of formulae : 340 ( 49 unt; 0 def)
% Number of atoms : 1037 ( 192 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1139 ( 442 ~; 455 |; 151 &)
% ( 60 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 27 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-3 aty)
% Number of variables : 299 ( 270 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1274,plain,
$false,
inference(avatar_sat_refutation,[],[f544,f572,f702,f725,f727,f729,f731,f734,f736,f743,f761,f765,f817,f820,f837,f841,f884,f919,f930,f941,f984,f1033,f1039,f1073,f1076,f1112,f1131,f1133,f1208,f1221,f1251,f1268,f1273]) ).
fof(f1273,plain,
( ~ spl33_1
| ~ spl33_14
| ~ spl33_16 ),
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1272,plain,
( $false
| ~ spl33_1
| ~ spl33_14
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1271,f538]) ).
fof(f538,plain,
( aSet0(xS)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl33_1
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f1271,plain,
( ~ aSet0(xS)
| ~ spl33_14
| ~ spl33_16 ),
inference(resolution,[],[f1265,f372]) ).
fof(f372,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f1265,plain,
( ~ aSubsetOf0(xS,xS)
| ~ spl33_14
| ~ spl33_16 ),
inference(forward_demodulation,[],[f1264,f320]) ).
fof(f320,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f1264,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),xS)
| ~ spl33_14
| ~ spl33_16 ),
inference(forward_demodulation,[],[f1263,f929]) ).
fof(f929,plain,
( sz00 = xi
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl33_16
<=> sz00 = xi ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f1263,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ~ spl33_14 ),
inference(forward_demodulation,[],[f1253,f320]) ).
fof(f1253,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))
| ~ spl33_14 ),
inference(superposition,[],[f311,f918]) ).
fof(f918,plain,
( sz00 = xj
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl33_14
<=> sz00 = xj ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f311,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1268,plain,
( spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1267,plain,
( $false
| spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14 ),
inference(subsumption_resolution,[],[f1259,f894]) ).
fof(f894,plain,
( ~ aElement0(sK21(sz00))
| spl33_11
| ~ spl33_12 ),
inference(superposition,[],[f878,f883]) ).
fof(f883,plain,
( sz00 = xk
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl33_12
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f878,plain,
( ~ aElement0(sK21(xk))
| spl33_11 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl33_11
<=> aElement0(sK21(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f1259,plain,
( aElement0(sK21(sz00))
| ~ spl33_13
| ~ spl33_14 ),
inference(superposition,[],[f914,f918]) ).
fof(f914,plain,
( aElement0(sK21(xj))
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl33_13
<=> aElement0(sK21(xj)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f1251,plain,
( spl33_14
| ~ spl33_16 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1250,plain,
( $false
| spl33_14
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1249,f327]) ).
fof(f327,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786) ).
fof(f1249,plain,
( ~ aElementOf0(xj,szNzAzT0)
| spl33_14
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1248,f917]) ).
fof(f917,plain,
( sz00 != xj
| spl33_14 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1248,plain,
( sz00 = xj
| ~ aElementOf0(xj,szNzAzT0)
| spl33_14
| ~ spl33_16 ),
inference(resolution,[],[f1247,f399]) ).
fof(f399,plain,
! [X0] :
( aElementOf0(sK21(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f143,f251]) ).
fof(f251,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK21(X0)) = X0
& aElementOf0(sK21(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1247,plain,
( ~ aElementOf0(sK21(xj),szNzAzT0)
| spl33_14
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1177,f1209]) ).
fof(f1209,plain,
( sdtlseqdt0(xj,sz00)
| ~ spl33_16 ),
inference(superposition,[],[f310,f929]) ).
fof(f310,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f1177,plain,
( ~ sdtlseqdt0(xj,sz00)
| ~ aElementOf0(sK21(xj),szNzAzT0)
| spl33_14 ),
inference(superposition,[],[f393,f1155]) ).
fof(f1155,plain,
( xj = szszuzczcdt0(sK21(xj))
| spl33_14 ),
inference(subsumption_resolution,[],[f1146,f917]) ).
fof(f1146,plain,
( sz00 = xj
| xj = szszuzczcdt0(sK21(xj)) ),
inference(resolution,[],[f400,f327]) ).
fof(f400,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK21(X0)) = X0 ),
inference(cnf_transformation,[],[f252]) ).
fof(f393,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f1221,plain,
( spl33_11
| ~ spl33_12
| ~ spl33_15
| ~ spl33_16 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| spl33_11
| ~ spl33_12
| ~ spl33_15
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1217,f894]) ).
fof(f1217,plain,
( aElement0(sK21(sz00))
| ~ spl33_15
| ~ spl33_16 ),
inference(superposition,[],[f925,f929]) ).
fof(f925,plain,
( aElement0(sK21(xi))
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f923,plain,
( spl33_15
<=> aElement0(sK21(xi)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f1208,plain,
spl33_16,
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| spl33_16 ),
inference(subsumption_resolution,[],[f1206,f328]) ).
fof(f328,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f1206,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl33_16 ),
inference(subsumption_resolution,[],[f1205,f928]) ).
fof(f928,plain,
( sz00 != xi
| spl33_16 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f1205,plain,
( sz00 = xi
| ~ aElementOf0(xi,szNzAzT0)
| spl33_16 ),
inference(resolution,[],[f1202,f399]) ).
fof(f1202,plain,
( ~ aElementOf0(sK21(xi),szNzAzT0)
| spl33_16 ),
inference(trivial_inequality_removal,[],[f1197]) ).
fof(f1197,plain,
( xi != xi
| ~ aElementOf0(sK21(xi),szNzAzT0)
| spl33_16 ),
inference(superposition,[],[f522,f1156]) ).
fof(f1156,plain,
( xi = szszuzczcdt0(sK21(xi))
| spl33_16 ),
inference(subsumption_resolution,[],[f1147,f928]) ).
fof(f1147,plain,
( sz00 = xi
| xi = szszuzczcdt0(sK21(xi)) ),
inference(resolution,[],[f400,f328]) ).
fof(f522,plain,
! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption,[],[f311,f310,f312,f313,f314,f317,f316,f315,f322,f321,f320,f319,f318,f324,f323,f326,f325,f328,f327,f330,f329,f521]) ).
fof(f521,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f331,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xj,xi) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ sdtlseqdt0(xj,xi) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
( ( ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) )
& sdtlseqdt0(xj,xi) )
=> ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786_02) ).
fof(f329,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f330,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f325,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f326,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f323,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f324,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f318,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f97]) ).
fof(f319,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f97]) ).
fof(f321,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f322,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f315,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f316,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f317,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f314,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f313,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f312,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f1133,plain,
( spl33_2
| ~ spl33_25 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1132,plain,
( $false
| spl33_2
| ~ spl33_25 ),
inference(subsumption_resolution,[],[f1117,f339]) ).
fof(f339,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f1117,plain,
( ~ isFinite0(slcrc0)
| spl33_2
| ~ spl33_25 ),
inference(superposition,[],[f543,f1107]) ).
fof(f1107,plain,
( slcrc0 = xS
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1105,plain,
( spl33_25
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f543,plain,
( ~ isFinite0(xS)
| spl33_2 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl33_2
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f1131,plain,
~ spl33_25,
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl33_25 ),
inference(subsumption_resolution,[],[f1115,f525]) ).
fof(f525,plain,
~ isCountable0(slcrc0),
inference(subsumption_resolution,[],[f502,f508]) ).
fof(f508,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK26(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f273,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK26(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f502,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f417]) ).
fof(f417,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f1115,plain,
( isCountable0(slcrc0)
| ~ spl33_25 ),
inference(superposition,[],[f330,f1107]) ).
fof(f1112,plain,
( spl33_25
| spl33_26
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f1102,f537,f1109,f1105]) ).
fof(f1109,plain,
( spl33_26
<=> aElementOf0(sK26(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f1102,plain,
( aElementOf0(sK26(xS),szNzAzT0)
| slcrc0 = xS
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f1100,f538]) ).
fof(f1100,plain,
( aElementOf0(sK26(xS),szNzAzT0)
| slcrc0 = xS
| ~ aSet0(xS) ),
inference(resolution,[],[f1098,f431]) ).
fof(f431,plain,
! [X0] :
( aElementOf0(sK26(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1098,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1089,f342]) ).
fof(f342,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1089,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f382,f329]) ).
fof(f382,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f248,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK20(X0,X1),X0)
& aElementOf0(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f248,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,[],[f247]) ).
fof(f247,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,[],[f246]) ).
fof(f246,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,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1076,plain,
( ~ spl33_19
| spl33_23 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1075,plain,
( $false
| ~ spl33_19
| spl33_23 ),
inference(subsumption_resolution,[],[f1074,f1017]) ).
fof(f1017,plain,
( sP1(slcrc0,xc)
| ~ spl33_19 ),
inference(subsumption_resolution,[],[f1012,f315]) ).
fof(f1012,plain,
( sP1(slcrc0,xc)
| ~ aFunction0(xc)
| ~ spl33_19 ),
inference(superposition,[],[f645,f979]) ).
fof(f979,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ spl33_19 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl33_19
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f645,plain,
! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f643,f344]) ).
fof(f344,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f643,plain,
! [X0] :
( sP1(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f356,f372]) ).
fof(f356,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP1(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( sP1(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f110,f205,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f205,plain,
! [X1,X0] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
fof(f1074,plain,
( ~ sP1(slcrc0,xc)
| spl33_23 ),
inference(resolution,[],[f1068,f747]) ).
fof(f747,plain,
! [X0,X1] :
( aFunction0(sdtexdt0(X1,X0))
| ~ sP1(X0,X1) ),
inference(resolution,[],[f495,f351]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aFunction0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f230,f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
=> ( sdtlpdtrp0(X0,sK14(X0,X1,X2)) != sdtlpdtrp0(X1,sK14(X0,X1,X2))
& aElementOf0(sK14(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X1,X3)
& aElementOf0(X3,X2) )
| szDzozmdt0(X0) != X2
| ~ aFunction0(X0) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X1,X4)
| ~ aElementOf0(X4,X2) )
& szDzozmdt0(X0) = X2
& aFunction0(X0) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f495,plain,
! [X0,X1] :
( sP0(sdtexdt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f349]) ).
fof(f349,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtexdt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtexdt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtexdt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f205]) ).
fof(f1068,plain,
( ~ aFunction0(sdtexdt0(xc,slcrc0))
| spl33_23 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1066,plain,
( spl33_23
<=> aFunction0(sdtexdt0(xc,slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f1073,plain,
( ~ spl33_23
| spl33_24
| ~ spl33_19 ),
inference(avatar_split_clause,[],[f1051,f977,f1070,f1066]) ).
fof(f1070,plain,
( spl33_24
<=> sP1(slcrc0,sdtexdt0(xc,slcrc0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f1051,plain,
( sP1(slcrc0,sdtexdt0(xc,slcrc0))
| ~ aFunction0(sdtexdt0(xc,slcrc0))
| ~ spl33_19 ),
inference(superposition,[],[f645,f1019]) ).
fof(f1019,plain,
( slcrc0 = szDzozmdt0(sdtexdt0(xc,slcrc0))
| ~ spl33_19 ),
inference(resolution,[],[f1017,f746]) ).
fof(f746,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ),
inference(resolution,[],[f495,f352]) ).
fof(f352,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| szDzozmdt0(X0) = X2 ),
inference(cnf_transformation,[],[f232]) ).
fof(f1039,plain,
spl33_22,
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1038,plain,
( $false
| spl33_22 ),
inference(subsumption_resolution,[],[f1037,f342]) ).
fof(f1037,plain,
( ~ aSet0(szNzAzT0)
| spl33_22 ),
inference(resolution,[],[f1032,f372]) ).
fof(f1032,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl33_22 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1030,plain,
( spl33_22
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f1033,plain,
( spl33_21
| ~ spl33_22
| spl33_4 ),
inference(avatar_split_clause,[],[f999,f699,f1030,f1026]) ).
fof(f1026,plain,
( spl33_21
<=> sP5(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f699,plain,
( spl33_4
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f999,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(szmzizndt0(szNzAzT0))
| spl33_4 ),
inference(subsumption_resolution,[],[f991,f700]) ).
fof(f700,plain,
( slcrc0 != szNzAzT0
| spl33_4 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f991,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP5(szmzizndt0(szNzAzT0)) ),
inference(resolution,[],[f506,f410]) ).
fof(f410,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP5(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( sP5(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f144,f211,f210]) ).
fof(f210,plain,
! [X0,X1] :
( sP4(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f506,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f268,f269]) ).
fof(f269,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK25(X0,X1))
& aElementOf0(sK25(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f268,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,[],[f267]) ).
fof(f267,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,[],[f266]) ).
fof(f266,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,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f984,plain,
( spl33_19
| spl33_20
| ~ spl33_5
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f975,f758,f754,f981,f977]) ).
fof(f981,plain,
( spl33_20
<=> aSubsetOf0(sK26(szDzozmdt0(xc)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f754,plain,
( spl33_5
<=> sP11(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f758,plain,
( spl33_6
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f975,plain,
( aSubsetOf0(sK26(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| ~ spl33_5
| ~ spl33_6 ),
inference(subsumption_resolution,[],[f974,f760]) ).
fof(f760,plain,
( aSet0(szDzozmdt0(xc))
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f974,plain,
( aSubsetOf0(sK26(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| ~ spl33_5 ),
inference(resolution,[],[f973,f431]) ).
fof(f973,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) )
| ~ spl33_5 ),
inference(resolution,[],[f474,f772]) ).
fof(f772,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ spl33_5 ),
inference(subsumption_resolution,[],[f751,f755]) ).
fof(f755,plain,
( sP11(xS,xK)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f751,plain,
( sP10(xK,xS,szDzozmdt0(xc))
| ~ sP11(xS,xK) ),
inference(superposition,[],[f517,f316]) ).
fof(f517,plain,
! [X0,X1] :
( sP10(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(equality_resolution,[],[f471]) ).
fof(f471,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP10(X1,X0,X2) )
& ( sP10(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP10(X1,X0,X2) )
| ~ sP11(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f474,plain,
! [X2,X0,X1,X4] :
( ~ sP10(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X1) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f303,f304]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK32(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK32(X0,X1,X2),X1)
| ~ aElementOf0(sK32(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK32(X0,X1,X2)) = X0
& aSubsetOf0(sK32(X0,X1,X2),X1) )
| aElementOf0(sK32(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f302]) ).
fof(f302,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X1,X0,X2] :
( ( sP10(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP10(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X1,X0,X2] :
( sP10(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f941,plain,
( spl33_17
| spl33_18
| spl33_4 ),
inference(avatar_split_clause,[],[f873,f699,f938,f934]) ).
fof(f934,plain,
( spl33_17
<=> aElement0(sK21(sK26(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f938,plain,
( spl33_18
<=> sz00 = sK26(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f873,plain,
( sz00 = sK26(szNzAzT0)
| aElement0(sK21(sK26(szNzAzT0)))
| spl33_4 ),
inference(subsumption_resolution,[],[f872,f342]) ).
fof(f872,plain,
( sz00 = sK26(szNzAzT0)
| aElement0(sK21(sK26(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl33_4 ),
inference(subsumption_resolution,[],[f869,f700]) ).
fof(f869,plain,
( sz00 = sK26(szNzAzT0)
| aElement0(sK21(sK26(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f859,f431]) ).
fof(f859,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElement0(sK21(X0)) ),
inference(subsumption_resolution,[],[f858,f342]) ).
fof(f858,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK21(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f399,f377]) ).
fof(f377,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f930,plain,
( spl33_15
| spl33_16 ),
inference(avatar_split_clause,[],[f866,f927,f923]) ).
fof(f866,plain,
( sz00 = xi
| aElement0(sK21(xi)) ),
inference(resolution,[],[f859,f328]) ).
fof(f919,plain,
( spl33_13
| spl33_14 ),
inference(avatar_split_clause,[],[f865,f916,f912]) ).
fof(f865,plain,
( sz00 = xj
| aElement0(sK21(xj)) ),
inference(resolution,[],[f859,f327]) ).
fof(f884,plain,
( spl33_11
| spl33_12 ),
inference(avatar_split_clause,[],[f864,f881,f877]) ).
fof(f864,plain,
( sz00 = xk
| aElement0(sK21(xk)) ),
inference(resolution,[],[f859,f325]) ).
fof(f841,plain,
spl33_9,
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| spl33_9 ),
inference(subsumption_resolution,[],[f839,f329]) ).
fof(f839,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl33_9 ),
inference(resolution,[],[f838,f646]) ).
fof(f646,plain,
! [X0] :
( sP1(X0,xN)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f644,f318]) ).
fof(f644,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP1(X0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f356,f319]) ).
fof(f838,plain,
( ~ sP1(xS,xN)
| spl33_9 ),
inference(resolution,[],[f832,f747]) ).
fof(f832,plain,
( ~ aFunction0(sdtexdt0(xN,xS))
| spl33_9 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl33_9
<=> aFunction0(sdtexdt0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f837,plain,
( ~ spl33_9
| spl33_10 ),
inference(avatar_split_clause,[],[f804,f834,f830]) ).
fof(f834,plain,
( spl33_10
<=> sP3(xS,sdtexdt0(xN,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f804,plain,
( sP3(xS,sdtexdt0(xN,xS))
| ~ aFunction0(sdtexdt0(xN,xS)) ),
inference(superposition,[],[f651,f802]) ).
fof(f802,plain,
xS = szDzozmdt0(sdtexdt0(xN,xS)),
inference(resolution,[],[f791,f329]) ).
fof(f791,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| szDzozmdt0(sdtexdt0(xN,X0)) = X0 ),
inference(resolution,[],[f746,f646]) ).
fof(f651,plain,
! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0) ),
inference(subsumption_resolution,[],[f649,f344]) ).
fof(f649,plain,
! [X0] :
( sP3(szDzozmdt0(X0),X0)
| ~ aFunction0(X0)
| ~ aSet0(szDzozmdt0(X0)) ),
inference(resolution,[],[f366,f372]) ).
fof(f366,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP3(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( sP3(X1,X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f111,f208,f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( sP2(X0,X1,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f208,plain,
! [X1,X0] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> sP2(X0,X1,X2) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f820,plain,
spl33_7,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| spl33_7 ),
inference(subsumption_resolution,[],[f818,f648]) ).
fof(f648,plain,
sP1(szNzAzT0,xN),
inference(subsumption_resolution,[],[f647,f318]) ).
fof(f647,plain,
( sP1(szNzAzT0,xN)
| ~ aFunction0(xN) ),
inference(superposition,[],[f645,f319]) ).
fof(f818,plain,
( ~ sP1(szNzAzT0,xN)
| spl33_7 ),
inference(resolution,[],[f812,f747]) ).
fof(f812,plain,
( ~ aFunction0(sdtexdt0(xN,szNzAzT0))
| spl33_7 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f810,plain,
( spl33_7
<=> aFunction0(sdtexdt0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f817,plain,
( ~ spl33_7
| spl33_8 ),
inference(avatar_split_clause,[],[f795,f814,f810]) ).
fof(f814,plain,
( spl33_8
<=> sP3(szNzAzT0,sdtexdt0(xN,szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f795,plain,
( sP3(szNzAzT0,sdtexdt0(xN,szNzAzT0))
| ~ aFunction0(sdtexdt0(xN,szNzAzT0)) ),
inference(superposition,[],[f651,f793]) ).
fof(f793,plain,
szNzAzT0 = szDzozmdt0(sdtexdt0(xN,szNzAzT0)),
inference(resolution,[],[f746,f648]) ).
fof(f765,plain,
( ~ spl33_1
| spl33_5 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl33_1
| spl33_5 ),
inference(subsumption_resolution,[],[f763,f538]) ).
fof(f763,plain,
( ~ aSet0(xS)
| spl33_5 ),
inference(subsumption_resolution,[],[f762,f314]) ).
fof(f762,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| spl33_5 ),
inference(resolution,[],[f756,f480]) ).
fof(f480,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( sP11(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f183,f221,f220]) ).
fof(f183,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,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f756,plain,
( ~ sP11(xS,xK)
| spl33_5 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f761,plain,
( ~ spl33_5
| spl33_6 ),
inference(avatar_split_clause,[],[f752,f758,f754]) ).
fof(f752,plain,
( aSet0(szDzozmdt0(xc))
| ~ sP11(xS,xK) ),
inference(superposition,[],[f750,f316]) ).
fof(f750,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f517,f473]) ).
fof(f473,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f305]) ).
fof(f743,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f718,f339]) ).
fof(f718,plain,
( ~ isFinite0(slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f535,f701]) ).
fof(f701,plain,
( slcrc0 = szNzAzT0
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f535,plain,
~ isFinite0(szNzAzT0),
inference(subsumption_resolution,[],[f534,f342]) ).
fof(f534,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f416,f343]) ).
fof(f343,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f416,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f736,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f711,f525]) ).
fof(f711,plain,
( isCountable0(slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f343,f701]) ).
fof(f734,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f709,f507]) ).
fof(f507,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f430]) ).
fof(f430,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f709,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f340,f701]) ).
fof(f340,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f731,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f706,f507]) ).
fof(f706,plain,
( aElementOf0(xi,slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f328,f701]) ).
fof(f729,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f705,f507]) ).
fof(f705,plain,
( aElementOf0(xj,slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f327,f701]) ).
fof(f727,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f704,f507]) ).
fof(f704,plain,
( aElementOf0(xk,slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f325,f701]) ).
fof(f725,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f703,f507]) ).
fof(f703,plain,
( aElementOf0(xK,slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f314,f701]) ).
fof(f702,plain,
( spl33_3
| spl33_4 ),
inference(avatar_split_clause,[],[f693,f699,f695]) ).
fof(f695,plain,
( spl33_3
<=> sP5(sK26(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f693,plain,
( slcrc0 = szNzAzT0
| sP5(sK26(szNzAzT0)) ),
inference(subsumption_resolution,[],[f688,f342]) ).
fof(f688,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP5(sK26(szNzAzT0)) ),
inference(resolution,[],[f431,f410]) ).
fof(f572,plain,
spl33_1,
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| spl33_1 ),
inference(subsumption_resolution,[],[f570,f342]) ).
fof(f570,plain,
( ~ aSet0(szNzAzT0)
| spl33_1 ),
inference(subsumption_resolution,[],[f566,f539]) ).
fof(f539,plain,
( ~ aSet0(xS)
| spl33_1 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f566,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f381,f329]) ).
fof(f381,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f544,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f533,f541,f537]) ).
fof(f533,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f416,f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 00:07:13 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (3881)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (3884)WARNING: value z3 for option sas not known
% 0.12/0.34 % (3883)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (3882)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (3886)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)
% 0.12/0.34 % (3885)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (3888)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)
% 0.12/0.34 % (3884)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)
% 0.12/0.34 % (3887)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [2]
% 0.18/0.37 % (3884)First to succeed.
% 0.18/0.37 TRYING [3]
% 0.18/0.37 % (3884)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (3884)------------------------------
% 0.18/0.38 % (3884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.38 % (3884)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (3884)Memory used [KB]: 1503
% 0.18/0.38 % (3884)Time elapsed: 0.033 s
% 0.18/0.38 % (3884)Instructions burned: 58 (million)
% 0.18/0.38 % (3884)------------------------------
% 0.18/0.38 % (3884)------------------------------
% 0.18/0.38 % (3881)Success in time 0.054 s
%------------------------------------------------------------------------------