TSTP Solution File: NUM623+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:13:32 EDT 2024
% Result : Theorem 1.13s 1.04s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 100 ( 28 unt; 0 def)
% Number of atoms : 314 ( 53 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 357 ( 143 ~; 140 |; 54 &)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 102 ( 89 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3991,plain,
$false,
inference(avatar_sat_refutation,[],[f696,f1178,f1209,f3977]) ).
fof(f3977,plain,
( ~ spl25_6
| ~ spl25_57
| spl25_58 ),
inference(avatar_contradiction_clause,[],[f3976]) ).
fof(f3976,plain,
( $false
| ~ spl25_6
| ~ spl25_57
| spl25_58 ),
inference(subsumption_resolution,[],[f3964,f2878]) ).
fof(f2878,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ spl25_6 ),
inference(subsumption_resolution,[],[f2877,f386]) ).
fof(f386,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5365) ).
fof(f2877,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xx,szNzAzT0)
| ~ spl25_6 ),
inference(subsumption_resolution,[],[f2876,f2232]) ).
fof(f2232,plain,
( aElementOf0(xp,szNzAzT0)
| ~ spl25_6 ),
inference(resolution,[],[f2218,f1147]) ).
fof(f1147,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f1136,f423]) ).
fof(f423,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',mNATSet) ).
fof(f1136,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f400,f314]) ).
fof(f314,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__3435) ).
fof(f400,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(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,[sK10])],[f258,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f258,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,[],[f257]) ).
fof(f257,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,[],[f256]) ).
fof(f256,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,[],[f158]) ).
fof(f158,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/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',mDefSub) ).
fof(f2218,plain,
( aElementOf0(xp,xS)
| ~ spl25_6 ),
inference(resolution,[],[f1148,f376]) ).
fof(f376,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f106]) ).
fof(f106,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5182) ).
fof(f1148,plain,
( ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) )
| ~ spl25_6 ),
inference(subsumption_resolution,[],[f1137,f594]) ).
fof(f594,plain,
( aSet0(xS)
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl25_6
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f1137,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f400,f366]) ).
fof(f366,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__4998) ).
fof(f2876,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(subsumption_resolution,[],[f2873,f395]) ).
fof(f395,plain,
xp != xx,
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
xp != xx,
inference(flattening,[],[f121]) ).
fof(f121,negated_conjecture,
xp != xx,
inference(negated_conjecture,[],[f120]) ).
fof(f120,conjecture,
xp = xx,
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__) ).
fof(f2873,plain,
( xp = xx
| ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(resolution,[],[f2799,f484]) ).
fof(f484,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',mLessASymm) ).
fof(f2799,plain,
sdtlseqdt0(xp,xx),
inference(resolution,[],[f1574,f394]) ).
fof(f394,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,axiom,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5481) ).
fof(f1574,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) ),
inference(subsumption_resolution,[],[f1573,f370]) ).
fof(f370,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5106) ).
fof(f1573,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0) ),
inference(subsumption_resolution,[],[f1570,f369]) ).
fof(f369,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5093) ).
fof(f1570,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ)
| slcrc0 = xQ
| ~ aSubsetOf0(xQ,szNzAzT0) ),
inference(superposition,[],[f528,f372]) ).
fof(f372,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5147) ).
fof(f528,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK21(X0,X1))
& aElementOf0(sK21(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,[sK21])],[f292,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK21(X0,X1))
& aElementOf0(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f292,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,[],[f291]) ).
fof(f291,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,[],[f290]) ).
fof(f290,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,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f218]) ).
fof(f218,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/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',mDefMin) ).
fof(f3964,plain,
( sdtlseqdt0(xx,xp)
| ~ spl25_57
| spl25_58 ),
inference(resolution,[],[f1576,f393]) ).
fof(f393,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f1576,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X0) )
| ~ spl25_57
| spl25_58 ),
inference(subsumption_resolution,[],[f1575,f1107]) ).
fof(f1107,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ spl25_57 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1106,plain,
( spl25_57
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_57])]) ).
fof(f1575,plain,
( ! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) )
| spl25_58 ),
inference(subsumption_resolution,[],[f1571,f1111]) ).
fof(f1111,plain,
( slcrc0 != sdtlpdtrp0(xN,xm)
| spl25_58 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl25_58
<=> slcrc0 = sdtlpdtrp0(xN,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_58])]) ).
fof(f1571,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| slcrc0 = sdtlpdtrp0(xN,xm)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[],[f528,f390]) ).
fof(f390,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5401) ).
fof(f1209,plain,
~ spl25_58,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl25_58 ),
inference(subsumption_resolution,[],[f1200,f537]) ).
fof(f537,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f510]) ).
fof(f510,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK24(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f308,f309]) ).
fof(f309,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK24(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,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/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',mDefEmp) ).
fof(f1200,plain,
( aElementOf0(xp,slcrc0)
| ~ spl25_58 ),
inference(superposition,[],[f393,f1112]) ).
fof(f1112,plain,
( slcrc0 = sdtlpdtrp0(xN,xm)
| ~ spl25_58 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1178,plain,
spl25_57,
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| spl25_57 ),
inference(subsumption_resolution,[],[f1176,f388]) ).
fof(f388,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__5389) ).
fof(f1176,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl25_57 ),
inference(resolution,[],[f1108,f332]) ).
fof(f332,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508',m__3671) ).
fof(f1108,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| spl25_57 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f696,plain,
spl25_6,
inference(avatar_split_clause,[],[f695,f593]) ).
fof(f695,plain,
aSet0(xS),
inference(subsumption_resolution,[],[f677,f423]) ).
fof(f677,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f399,f314]) ).
fof(f399,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:27:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Q9isxwZYWK/Vampire---4.8_27508
% 0.69/0.93 % (27760)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.93 % (27759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.93 % (27762)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.93 % (27757)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.69/0.93 % (27758)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.69/0.93 % (27761)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.69/0.93 % (27763)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.69/0.93 % (27764)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.77/0.94 % (27761)Instruction limit reached!
% 0.77/0.94 % (27761)------------------------------
% 0.77/0.94 % (27761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.94 % (27761)Termination reason: Unknown
% 0.77/0.94 % (27761)Termination phase: Saturation
% 0.77/0.94
% 0.77/0.94 % (27761)Memory used [KB]: 1763
% 0.77/0.94 % (27761)Time elapsed: 0.019 s
% 0.77/0.94 % (27761)Instructions burned: 34 (million)
% 0.77/0.94 % (27761)------------------------------
% 0.77/0.94 % (27761)------------------------------
% 0.77/0.94 % (27757)Instruction limit reached!
% 0.77/0.94 % (27757)------------------------------
% 0.77/0.94 % (27757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.94 % (27757)Termination reason: Unknown
% 0.77/0.94 % (27757)Termination phase: Saturation
% 0.77/0.94
% 0.77/0.94 % (27757)Memory used [KB]: 1587
% 0.77/0.94 % (27757)Time elapsed: 0.020 s
% 0.77/0.94 % (27757)Instructions burned: 34 (million)
% 0.77/0.94 % (27757)------------------------------
% 0.77/0.94 % (27757)------------------------------
% 0.77/0.94 % (27760)Instruction limit reached!
% 0.77/0.94 % (27760)------------------------------
% 0.77/0.94 % (27760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.94 % (27760)Termination reason: Unknown
% 0.77/0.94 % (27760)Termination phase: Saturation
% 0.77/0.94
% 0.77/0.94 % (27760)Memory used [KB]: 1789
% 0.77/0.94 % (27760)Time elapsed: 0.020 s
% 0.77/0.94 % (27760)Instructions burned: 34 (million)
% 0.77/0.94 % (27760)------------------------------
% 0.77/0.94 % (27760)------------------------------
% 0.77/0.95 % (27765)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.77/0.95 % (27766)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.77/0.95 % (27767)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.77/0.95 % (27762)Instruction limit reached!
% 0.77/0.95 % (27762)------------------------------
% 0.77/0.95 % (27762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.95 % (27762)Termination reason: Unknown
% 0.77/0.95 % (27762)Termination phase: Saturation
% 0.77/0.95
% 0.77/0.95 % (27762)Memory used [KB]: 1787
% 0.77/0.95 % (27762)Time elapsed: 0.027 s
% 0.77/0.95 % (27762)Instructions burned: 46 (million)
% 0.77/0.95 % (27762)------------------------------
% 0.77/0.95 % (27762)------------------------------
% 0.77/0.95 % (27768)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.77/0.95 % (27758)Instruction limit reached!
% 0.77/0.95 % (27758)------------------------------
% 0.77/0.95 % (27758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.95 % (27758)Termination reason: Unknown
% 0.77/0.95 % (27758)Termination phase: Saturation
% 0.77/0.95
% 0.77/0.95 % (27758)Memory used [KB]: 1994
% 0.77/0.95 % (27758)Time elapsed: 0.032 s
% 0.77/0.95 % (27758)Instructions burned: 51 (million)
% 0.77/0.95 % (27758)------------------------------
% 0.77/0.95 % (27758)------------------------------
% 0.77/0.96 % (27764)Instruction limit reached!
% 0.77/0.96 % (27764)------------------------------
% 0.77/0.96 % (27764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.96 % (27764)Termination reason: Unknown
% 0.77/0.96 % (27764)Termination phase: Saturation
% 0.77/0.96
% 0.77/0.96 % (27764)Memory used [KB]: 1967
% 0.77/0.96 % (27764)Time elapsed: 0.032 s
% 0.77/0.96 % (27764)Instructions burned: 57 (million)
% 0.77/0.96 % (27764)------------------------------
% 0.77/0.96 % (27764)------------------------------
% 0.77/0.96 % (27769)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.77/0.96 % (27770)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.77/0.97 % (27763)Instruction limit reached!
% 0.77/0.97 % (27763)------------------------------
% 0.77/0.97 % (27763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97 % (27763)Termination reason: Unknown
% 0.77/0.97 % (27763)Termination phase: Saturation
% 0.77/0.97
% 0.77/0.97 % (27763)Memory used [KB]: 2470
% 0.77/0.97 % (27763)Time elapsed: 0.045 s
% 0.77/0.97 % (27763)Instructions burned: 84 (million)
% 0.77/0.97 % (27763)------------------------------
% 0.77/0.97 % (27763)------------------------------
% 0.77/0.97 % (27759)Instruction limit reached!
% 0.77/0.97 % (27759)------------------------------
% 0.77/0.97 % (27759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97 % (27759)Termination reason: Unknown
% 0.77/0.97 % (27759)Termination phase: Saturation
% 0.77/0.97
% 0.77/0.97 % (27759)Memory used [KB]: 2128
% 0.77/0.97 % (27759)Time elapsed: 0.047 s
% 0.77/0.97 % (27759)Instructions burned: 79 (million)
% 0.77/0.97 % (27759)------------------------------
% 0.77/0.97 % (27759)------------------------------
% 0.77/0.97 % (27766)Instruction limit reached!
% 0.77/0.97 % (27766)------------------------------
% 0.77/0.97 % (27766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97 % (27766)Termination reason: Unknown
% 0.77/0.97 % (27766)Termination phase: Saturation
% 0.77/0.97
% 0.77/0.97 % (27766)Memory used [KB]: 1849
% 0.77/0.97 % (27766)Time elapsed: 0.026 s
% 0.77/0.97 % (27766)Instructions burned: 51 (million)
% 0.77/0.97 % (27766)------------------------------
% 0.77/0.97 % (27766)------------------------------
% 0.77/0.97 % (27771)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.77/0.97 % (27772)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.77/0.97 % (27773)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.77/0.97 % (27765)Instruction limit reached!
% 0.77/0.97 % (27765)------------------------------
% 0.77/0.97 % (27765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.97 % (27765)Termination reason: Unknown
% 0.77/0.97 % (27765)Termination phase: Saturation
% 0.77/0.97
% 0.77/0.97 % (27765)Memory used [KB]: 1980
% 0.77/0.97 % (27765)Time elapsed: 0.030 s
% 0.77/0.97 % (27765)Instructions burned: 55 (million)
% 0.77/0.97 % (27765)------------------------------
% 0.77/0.97 % (27765)------------------------------
% 0.77/0.98 % (27774)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2993ds/93Mi)
% 0.77/0.98 % (27770)Instruction limit reached!
% 0.77/0.98 % (27770)------------------------------
% 0.77/0.98 % (27770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.98 % (27770)Termination reason: Unknown
% 0.77/0.98 % (27770)Termination phase: Saturation
% 0.77/0.98
% 0.77/0.98 % (27770)Memory used [KB]: 1822
% 0.77/0.98 % (27770)Time elapsed: 0.024 s
% 0.77/0.98 % (27770)Instructions burned: 42 (million)
% 0.77/0.98 % (27770)------------------------------
% 0.77/0.98 % (27770)------------------------------
% 0.77/0.98 % (27768)Instruction limit reached!
% 0.77/0.98 % (27768)------------------------------
% 0.77/0.98 % (27768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.98 % (27768)Termination reason: Unknown
% 0.77/0.98 % (27768)Termination phase: Saturation
% 0.77/0.98
% 0.77/0.98 % (27768)Memory used [KB]: 1917
% 0.77/0.98 % (27768)Time elapsed: 0.031 s
% 0.77/0.98 % (27768)Instructions burned: 52 (million)
% 0.77/0.98 % (27768)------------------------------
% 0.77/0.98 % (27768)------------------------------
% 0.77/0.98 % (27775)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2993ds/62Mi)
% 0.77/0.99 % (27776)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2993ds/32Mi)
% 1.13/1.00 % (27776)Instruction limit reached!
% 1.13/1.00 % (27776)------------------------------
% 1.13/1.00 % (27776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/1.00 % (27776)Termination reason: Unknown
% 1.13/1.00 % (27776)Termination phase: Saturation
% 1.13/1.00
% 1.13/1.00 % (27776)Memory used [KB]: 1584
% 1.13/1.00 % (27776)Time elapsed: 0.019 s
% 1.13/1.00 % (27776)Instructions burned: 33 (million)
% 1.13/1.00 % (27776)------------------------------
% 1.13/1.00 % (27776)------------------------------
% 1.13/1.01 % (27777)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2993ds/1919Mi)
% 1.13/1.02 % (27775)Instruction limit reached!
% 1.13/1.02 % (27775)------------------------------
% 1.13/1.02 % (27775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/1.02 % (27775)Termination reason: Unknown
% 1.13/1.02 % (27775)Termination phase: Saturation
% 1.13/1.02
% 1.13/1.02 % (27775)Memory used [KB]: 2222
% 1.13/1.02 % (27775)Time elapsed: 0.036 s
% 1.13/1.02 % (27775)Instructions burned: 63 (million)
% 1.13/1.02 % (27775)------------------------------
% 1.13/1.02 % (27775)------------------------------
% 1.13/1.02 % (27778)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2993ds/55Mi)
% 1.13/1.03 % (27774)Instruction limit reached!
% 1.13/1.03 % (27774)------------------------------
% 1.13/1.03 % (27774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/1.03 % (27774)Termination reason: Unknown
% 1.13/1.03 % (27774)Termination phase: Saturation
% 1.13/1.03
% 1.13/1.03 % (27774)Memory used [KB]: 1957
% 1.13/1.03 % (27774)Time elapsed: 0.050 s
% 1.13/1.03 % (27774)Instructions burned: 95 (million)
% 1.13/1.03 % (27774)------------------------------
% 1.13/1.03 % (27774)------------------------------
% 1.13/1.03 % (27779)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2993ds/53Mi)
% 1.13/1.04 % (27772)Instruction limit reached!
% 1.13/1.04 % (27772)------------------------------
% 1.13/1.04 % (27772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/1.04 % (27772)Termination reason: Unknown
% 1.13/1.04 % (27772)Termination phase: Saturation
% 1.13/1.04
% 1.13/1.04 % (27772)Memory used [KB]: 2407
% 1.13/1.04 % (27772)Time elapsed: 0.066 s
% 1.13/1.04 % (27772)Instructions burned: 117 (million)
% 1.13/1.04 % (27772)------------------------------
% 1.13/1.04 % (27772)------------------------------
% 1.13/1.04 % (27767)First to succeed.
% 1.13/1.04 % (27767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27719"
% 1.13/1.04 % (27780)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2993ds/46Mi)
% 1.13/1.04 % (27767)Refutation found. Thanks to Tanya!
% 1.13/1.04 % SZS status Theorem for Vampire---4
% 1.13/1.04 % SZS output start Proof for Vampire---4
% See solution above
% 1.13/1.04 % (27767)------------------------------
% 1.13/1.04 % (27767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/1.04 % (27767)Termination reason: Refutation
% 1.13/1.04
% 1.13/1.04 % (27767)Memory used [KB]: 2559
% 1.13/1.04 % (27767)Time elapsed: 0.096 s
% 1.13/1.04 % (27767)Instructions burned: 179 (million)
% 1.13/1.04 % (27719)Success in time 0.665 s
% 1.13/1.04 % Vampire---4.8 exiting
%------------------------------------------------------------------------------