TSTP Solution File: NUM566+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM566+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 May 21 01:43:18 EDT 2024
% Result : Theorem 1.04s 0.92s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 152 ( 19 unt; 0 def)
% Number of atoms : 675 ( 141 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 926 ( 403 ~; 367 |; 115 &)
% ( 21 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 275 ( 240 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1252,plain,
$false,
inference(avatar_sat_refutation,[],[f591,f643,f866,f1206,f1209,f1232]) ).
fof(f1232,plain,
( spl13_16
| ~ spl13_38
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f1231,f1204,f1200,f508]) ).
fof(f508,plain,
( spl13_16
<=> ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1200,plain,
( spl13_38
<=> aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f1204,plain,
( spl13_39
<=> ! [X0] : ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f1231,plain,
( ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ spl13_38
| ~ spl13_39 ),
inference(subsumption_resolution,[],[f1230,f173]) ).
fof(f173,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/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f1230,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl13_38
| ~ spl13_39 ),
inference(subsumption_resolution,[],[f1220,f1201]) ).
fof(f1201,plain,
( aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1220,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl13_39 ),
inference(resolution,[],[f1205,f257]) ).
fof(f257,plain,
! [X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),sdtlcdtrc0(X0,X1))
| ~ aElementOf0(X7,X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f256]) ).
fof(f256,plain,
! [X2,X0,X1,X7] :
( aElementOf0(sdtlpdtrp0(X0,X7),X2)
| ~ aElementOf0(X7,X1)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X2,X0,X1,X6,X7] :
( aElementOf0(X6,X2)
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK7(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) = sdtlpdtrp0(X0,sK8(X0,X1,X2))
& aElementOf0(sK8(X0,X1,X2),X1) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
& aElementOf0(sK9(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f150,f153,f152,f151]) ).
fof(f151,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) != sK7(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK7(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK7(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK7(X0,X1,X2) = sdtlpdtrp0(X0,sK8(X0,X1,X2))
& aElementOf0(sK8(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
& aElementOf0(sK9(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(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) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(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) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(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) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,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(f1205,plain,
( ! [X0] : ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1209,plain,
spl13_38,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| spl13_38 ),
inference(subsumption_resolution,[],[f1207,f348]) ).
fof(f348,plain,
aSet0(szDzozmdt0(xc)),
inference(subsumption_resolution,[],[f347,f309]) ).
fof(f309,plain,
aSet0(xS),
inference(subsumption_resolution,[],[f301,f205]) ).
fof(f205,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f301,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f188,f171]) ).
fof(f171,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f188,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK3(X0,X1),X0)
& aElementOf0(sK3(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,[sK3])],[f141,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK3(X0,X1),X0)
& aElementOf0(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f141,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,[],[f140]) ).
fof(f140,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,[],[f139]) ).
fof(f139,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,[],[f97]) ).
fof(f97,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(f347,plain,
( aSet0(szDzozmdt0(xc))
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f346,f170]) ).
fof(f170,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f346,plain,
( aSet0(szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[],[f265,f174]) ).
fof(f174,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f265,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK10(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK10(X0,X1,X2)) = X1
& aSubsetOf0(sK10(X0,X1,X2),X0) )
| aElementOf0(sK10(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f157,f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK10(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK10(X0,X1,X2),X0)
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK10(X0,X1,X2)) = X1
& aSubsetOf0(sK10(X0,X1,X2),X0) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = 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) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = 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) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,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,[],[f124]) ).
fof(f124,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(f1207,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl13_38 ),
inference(resolution,[],[f1202,f187]) ).
fof(f187,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,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(f1202,plain,
( ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| spl13_38 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1206,plain,
( ~ spl13_38
| spl13_39
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f1198,f589,f1204,f1200]) ).
fof(f589,plain,
( spl13_21
<=> ! [X0] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ aElementOf0(X0,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f1198,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) )
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f1197,f389]) ).
fof(f389,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f386,f168]) ).
fof(f168,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f386,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f189,f175]) ).
fof(f175,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f189,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1197,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)) )
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f1196,f173]) ).
fof(f1196,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl13_21 ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1195,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl13_21 ),
inference(resolution,[],[f1058,f259]) ).
fof(f259,plain,
! [X0,X1,X6] :
( aElementOf0(sK9(X0,X1,X6),X1)
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK9(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1058,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK9(xc,X0,X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,X0))
| ~ aSubsetOf0(X0,szDzozmdt0(xc)) )
| ~ spl13_21 ),
inference(subsumption_resolution,[],[f1055,f173]) ).
fof(f1055,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,xT)
| ~ aElementOf0(sK9(xc,X0,X1),szDzozmdt0(xc))
| ~ aElementOf0(X1,sdtlcdtrc0(xc,X0))
| ~ aSubsetOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc) )
| ~ spl13_21 ),
inference(superposition,[],[f970,f258]) ).
fof(f258,plain,
! [X0,X1,X6] :
( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK9(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f970,plain,
( ! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
| ~ spl13_21 ),
inference(equality_resolution,[],[f648]) ).
fof(f648,plain,
( ! [X0,X1] :
( sdtlpdtrp0(xc,X0) != X1
| ~ aElementOf0(X1,xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
| ~ spl13_21 ),
inference(superposition,[],[f590,f270]) ).
fof(f270,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(forward_demodulation,[],[f243,f174]) ).
fof(f243,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
inference(definition_unfolding,[],[f182,f180]) ).
fof(f180,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f182,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3507) ).
fof(f590,plain,
( ! [X0] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ aElementOf0(X0,xT) )
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f866,plain,
~ spl13_16,
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f865,plain,
( $false
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f864,f348]) ).
fof(f864,plain,
( ~ aSet0(szDzozmdt0(xc))
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f858,f444]) ).
fof(f444,plain,
slcrc0 != szDzozmdt0(xc),
inference(subsumption_resolution,[],[f443,f309]) ).
fof(f443,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f442,f310]) ).
fof(f310,plain,
~ isFinite0(xS),
inference(subsumption_resolution,[],[f298,f309]) ).
fof(f298,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f198,f172]) ).
fof(f172,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f198,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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(f442,plain,
( slcrc0 != szDzozmdt0(xc)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f441,f170]) ).
fof(f441,plain,
( slcrc0 != szDzozmdt0(xc)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(superposition,[],[f195,f174]) ).
fof(f195,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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(f858,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| ~ spl13_16 ),
inference(resolution,[],[f509,f241]) ).
fof(f241,plain,
! [X0] :
( aElementOf0(sK12(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,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(f509,plain,
( ! [X0] : ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f643,plain,
~ spl13_20,
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl13_20 ),
inference(subsumption_resolution,[],[f641,f172]) ).
fof(f641,plain,
( ~ isCountable0(xS)
| ~ spl13_20 ),
inference(subsumption_resolution,[],[f640,f309]) ).
fof(f640,plain,
( ~ aSet0(xS)
| ~ isCountable0(xS)
| ~ spl13_20 ),
inference(duplicate_literal_removal,[],[f636]) ).
fof(f636,plain,
( ~ aSet0(xS)
| ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl13_20 ),
inference(resolution,[],[f587,f187]) ).
fof(f587,plain,
( ! [X1] :
( ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1) )
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl13_20
<=> ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f591,plain,
( spl13_20
| spl13_21 ),
inference(avatar_split_clause,[],[f576,f589,f586]) ).
fof(f576,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1) ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f558,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(superposition,[],[f184,f539]) ).
fof(f539,plain,
! [X0,X1] :
( slcrc0 = sK2(X0,X1)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f538,f490]) ).
fof(f490,plain,
! [X0,X1] :
( aSet0(sK2(X1,X0))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,xT)
| aSet0(sK2(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f480,f188]) ).
fof(f480,plain,
! [X0,X1] :
( aSubsetOf0(sK2(X0,X1),X1)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f476,f170]) ).
fof(f476,plain,
! [X0,X1] :
( aSubsetOf0(sK2(X0,X1),X1)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f264,f183]) ).
fof(f183,plain,
! [X0,X1] :
( aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
& aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f91,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
& aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ),
inference(negated_conjecture,[],[f81]) ).
fof(f81,conjecture,
? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f264,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f222]) ).
fof(f222,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f538,plain,
! [X0,X1] :
( slcrc0 = sK2(X0,X1)
| ~ aSet0(sK2(X0,X1))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(trivial_inequality_removal,[],[f537]) ).
fof(f537,plain,
! [X0,X1] :
( xK != xK
| slcrc0 = sK2(X0,X1)
| ~ aSet0(sK2(X0,X1))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(superposition,[],[f248,f533]) ).
fof(f533,plain,
! [X0,X1] :
( xK = sbrdtbr0(sK2(X0,X1))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f528,f170]) ).
fof(f528,plain,
! [X0,X1] :
( xK = sbrdtbr0(sK2(X0,X1))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f263,f183]) ).
fof(f263,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f223]) ).
fof(f223,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f248,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f230,f180]) ).
fof(f230,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,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(f184,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM566+1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 05:31:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.86 % (19469)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.86 % (19467)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.86 % (19470)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.86 % (19468)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.86 % (19471)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.86 % (19472)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.86 % (19466)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.86 % (19473)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.69/0.88 % (19470)Instruction limit reached!
% 0.69/0.88 % (19470)------------------------------
% 0.69/0.88 % (19470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88 % (19470)Termination reason: Unknown
% 0.69/0.88 % (19470)Termination phase: Saturation
% 0.69/0.88
% 0.69/0.88 % (19470)Memory used [KB]: 1689
% 0.69/0.88 % (19470)Time elapsed: 0.044 s
% 0.69/0.88 % (19470)Instructions burned: 35 (million)
% 0.69/0.88 % (19470)------------------------------
% 0.69/0.88 % (19470)------------------------------
% 0.69/0.88 % (19469)Instruction limit reached!
% 0.69/0.88 % (19469)------------------------------
% 0.69/0.88 % (19469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88 % (19469)Termination reason: Unknown
% 0.69/0.88 % (19469)Termination phase: Saturation
% 0.69/0.88
% 0.69/0.88 % (19469)Memory used [KB]: 1548
% 0.69/0.88 % (19469)Time elapsed: 0.045 s
% 0.69/0.88 % (19469)Instructions burned: 33 (million)
% 0.69/0.88 % (19469)------------------------------
% 0.69/0.88 % (19469)------------------------------
% 0.69/0.88 % (19466)Instruction limit reached!
% 0.69/0.88 % (19466)------------------------------
% 0.69/0.88 % (19466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88 % (19466)Termination reason: Unknown
% 0.69/0.88 % (19466)Termination phase: Saturation
% 0.69/0.88
% 0.69/0.88 % (19466)Memory used [KB]: 1490
% 0.69/0.88 % (19466)Time elapsed: 0.045 s
% 0.69/0.88 % (19466)Instructions burned: 34 (million)
% 0.69/0.88 % (19466)------------------------------
% 0.69/0.88 % (19466)------------------------------
% 0.69/0.88 % (19474)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 theBenchmark for (2994ds/55Mi)
% 0.69/0.88 % (19475)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 theBenchmark for (2994ds/50Mi)
% 0.69/0.88 % (19476)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.89 % (19473)Instruction limit reached!
% 0.76/0.89 % (19473)------------------------------
% 0.76/0.89 % (19473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89 % (19473)Termination reason: Unknown
% 0.76/0.89 % (19473)Termination phase: Saturation
% 0.76/0.89
% 0.76/0.89 % (19473)Memory used [KB]: 1657
% 0.76/0.89 % (19473)Time elapsed: 0.059 s
% 0.76/0.89 % (19473)Instructions burned: 57 (million)
% 0.76/0.89 % (19473)------------------------------
% 0.76/0.89 % (19473)------------------------------
% 0.76/0.89 % (19467)Instruction limit reached!
% 0.76/0.89 % (19467)------------------------------
% 0.76/0.89 % (19467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89 % (19467)Termination reason: Unknown
% 0.76/0.89 % (19467)Termination phase: Saturation
% 0.76/0.89
% 0.76/0.89 % (19467)Memory used [KB]: 2004
% 0.76/0.89 % (19467)Time elapsed: 0.059 s
% 0.76/0.89 % (19467)Instructions burned: 52 (million)
% 0.76/0.89 % (19467)------------------------------
% 0.76/0.89 % (19467)------------------------------
% 0.76/0.89 % (19471)Instruction limit reached!
% 0.76/0.89 % (19471)------------------------------
% 0.76/0.89 % (19471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.89 % (19471)Termination reason: Unknown
% 0.76/0.89 % (19471)Termination phase: Saturation
% 0.76/0.89
% 0.76/0.89 % (19471)Memory used [KB]: 1598
% 0.76/0.89 % (19471)Time elapsed: 0.055 s
% 0.76/0.89 % (19471)Instructions burned: 46 (million)
% 0.76/0.89 % (19471)------------------------------
% 0.76/0.89 % (19471)------------------------------
% 0.76/0.89 % (19477)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.90 % (19478)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 theBenchmark for (2994ds/518Mi)
% 0.76/0.90 % (19479)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 theBenchmark for (2994ds/42Mi)
% 0.76/0.91 % (19468)Instruction limit reached!
% 0.76/0.91 % (19468)------------------------------
% 0.76/0.91 % (19468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (19468)Termination reason: Unknown
% 0.76/0.91 % (19468)Termination phase: Saturation
% 0.76/0.91
% 0.76/0.91 % (19468)Memory used [KB]: 1874
% 0.76/0.91 % (19468)Time elapsed: 0.077 s
% 0.76/0.91 % (19468)Instructions burned: 79 (million)
% 0.76/0.91 % (19468)------------------------------
% 0.76/0.91 % (19468)------------------------------
% 0.76/0.91 % (19475)Instruction limit reached!
% 0.76/0.91 % (19475)------------------------------
% 0.76/0.91 % (19475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (19475)Termination reason: Unknown
% 0.76/0.91 % (19475)Termination phase: Saturation
% 0.76/0.91
% 0.76/0.91 % (19475)Memory used [KB]: 1809
% 0.76/0.91 % (19475)Time elapsed: 0.033 s
% 0.76/0.91 % (19475)Instructions burned: 50 (million)
% 0.76/0.91 % (19475)------------------------------
% 0.76/0.91 % (19475)------------------------------
% 0.76/0.91 % (19474)Instruction limit reached!
% 0.76/0.91 % (19474)------------------------------
% 0.76/0.91 % (19474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (19474)Termination reason: Unknown
% 0.76/0.91 % (19474)Termination phase: Saturation
% 0.76/0.91
% 0.76/0.91 % (19474)Memory used [KB]: 2050
% 0.76/0.91 % (19474)Time elapsed: 0.035 s
% 0.76/0.91 % (19474)Instructions burned: 56 (million)
% 0.76/0.91 % (19474)------------------------------
% 0.76/0.91 % (19474)------------------------------
% 0.76/0.91 % (19480)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 theBenchmark for (2994ds/243Mi)
% 0.76/0.92 % (19481)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.76/0.92 % (19476)First to succeed.
% 0.76/0.92 % (19482)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 theBenchmark for (2994ds/143Mi)
% 0.76/0.92 % (19476)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19465"
% 1.04/0.92 % (19476)Refutation found. Thanks to Tanya!
% 1.04/0.92 % SZS status Theorem for theBenchmark
% 1.04/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.92 % (19476)------------------------------
% 1.04/0.92 % (19476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.92 % (19476)Termination reason: Refutation
% 1.04/0.92
% 1.04/0.92 % (19476)Memory used [KB]: 1552
% 1.04/0.92 % (19476)Time elapsed: 0.040 s
% 1.04/0.92 % (19476)Instructions burned: 57 (million)
% 1.04/0.92 % (19465)Success in time 0.579 s
% 1.04/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------