TSTP Solution File: RNG109+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG109+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 : n014.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 08:54:18 EDT 2024
% Result : Theorem 1.00s 0.86s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 82 ( 9 unt; 0 def)
% Number of atoms : 392 ( 100 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 484 ( 174 ~; 179 |; 104 &)
% ( 18 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 192 ( 142 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2075,plain,
$false,
inference(avatar_sat_refutation,[],[f278,f318,f324,f384,f1304,f2028]) ).
fof(f2028,plain,
( spl22_2
| ~ spl22_3 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2027,plain,
( $false
| spl22_2
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f2026,f158]) ).
fof(f158,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',m__2091) ).
fof(f2026,plain,
( ~ aElement0(xb)
| spl22_2
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f2001,f277]) ).
fof(f277,plain,
( sz00 != xb
| spl22_2 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl22_2
<=> sz00 = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f2001,plain,
( sz00 = xb
| ~ aElement0(xb)
| ~ spl22_3 ),
inference(resolution,[],[f1180,f166]) ).
fof(f166,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xa)) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',m__2203) ).
fof(f1180,plain,
( ! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| sz00 = X0
| ~ aElement0(X0) )
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f1116,f163]) ).
fof(f163,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f1116,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(X0,slsdtgt0(xb))
| ~ aElement0(X0) )
| ~ spl22_3 ),
inference(superposition,[],[f553,f178]) ).
fof(f178,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',mAddZero) ).
fof(f553,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(X1,X0)
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X0,slsdtgt0(xb)) )
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f551,f303]) ).
fof(f303,plain,
( sP1(slsdtgt0(xa),slsdtgt0(xb))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl22_3
<=> sP1(slsdtgt0(xa),slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f551,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa))
| sz00 = sdtpldt0(X1,X0)
| ~ sP1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(resolution,[],[f326,f258]) ).
fof(f258,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt1(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X2,X3,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X0,X3)
| sz00 = sdtpldt0(X0,X1) ),
inference(resolution,[],[f167,f259]) ).
fof(f259,plain,
! [X2,X10,X0,X1,X9] :
( aElementOf0(sdtpldt0(X9,X10),X2)
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X2)
| sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK10(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( sK10(X0,X1,X2) = sdtpldt0(sK11(X0,X1,X2),sK12(X0,X1,X2))
& aElementOf0(sK12(X0,X1,X2),X0)
& aElementOf0(sK11(X0,X1,X2),X1) )
| aElementOf0(sK10(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK13(X0,X1,X8),sK14(X0,X1,X8)) = X8
& aElementOf0(sK14(X0,X1,X8),X0)
& aElementOf0(sK13(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f131,f134,f133,f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK10(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK10(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK10(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK10(X0,X1,X2) = sdtpldt0(sK11(X0,X1,X2),sK12(X0,X1,X2))
& aElementOf0(sK12(X0,X1,X2),X0)
& aElementOf0(sK11(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK13(X0,X1,X8),sK14(X0,X1,X8)) = X8
& aElementOf0(sK14(X0,X1,X8),X0)
& aElementOf0(sK13(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f167,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| sz00 = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',m__) ).
fof(f1304,plain,
( spl22_1
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f1303,f302,f271]) ).
fof(f271,plain,
( spl22_1
<=> sz00 = xa ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f1303,plain,
( sz00 = xa
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f1240,f157]) ).
fof(f157,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f1240,plain,
( sz00 = xa
| ~ aElement0(xa)
| ~ spl22_3 ),
inference(resolution,[],[f1179,f164]) ).
fof(f164,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f1179,plain,
( ! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| sz00 = X0
| ~ aElement0(X0) )
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f1113,f165]) ).
fof(f165,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f1113,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(X0) )
| ~ spl22_3 ),
inference(superposition,[],[f553,f177]) ).
fof(f177,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f384,plain,
spl22_6,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| spl22_6 ),
inference(subsumption_resolution,[],[f380,f158]) ).
fof(f380,plain,
( ~ aElement0(xb)
| spl22_6 ),
inference(resolution,[],[f317,f264]) ).
fof(f264,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK15(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK15(X0,X1),X1) )
& ( ( sK15(X0,X1) = sdtasdt0(X0,sK16(X0,X1))
& aElement0(sK16(X0,X1)) )
| aElementOf0(sK15(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK17(X0,X5)) = X5
& aElement0(sK17(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f138,f141,f140,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK15(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK15(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK15(X0,X1)
& aElement0(X4) )
| aElementOf0(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK15(X0,X1)
& aElement0(X4) )
=> ( sK15(X0,X1) = sdtasdt0(X0,sK16(X0,X1))
& aElement0(sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK17(X0,X5)) = X5
& aElement0(sK17(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',mDefPrIdeal) ).
fof(f317,plain,
( ~ aSet0(slsdtgt0(xb))
| spl22_6 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl22_6
<=> aSet0(slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f324,plain,
spl22_5,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl22_5 ),
inference(subsumption_resolution,[],[f320,f157]) ).
fof(f320,plain,
( ~ aElement0(xa)
| spl22_5 ),
inference(resolution,[],[f313,f264]) ).
fof(f313,plain,
( ~ aSet0(slsdtgt0(xa))
| spl22_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl22_5
<=> aSet0(slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f318,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_3 ),
inference(avatar_split_clause,[],[f309,f302,f315,f311]) ).
fof(f309,plain,
( ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| spl22_3 ),
inference(resolution,[],[f304,f218]) ).
fof(f218,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f78,f106,f105]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',mDefSSum) ).
fof(f304,plain,
( ~ sP1(slsdtgt0(xa),slsdtgt0(xb))
| spl22_3 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f278,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f159,f275,f271]) ).
fof(f159,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xb
| sz00 != xa ),
file('/export/starexec/sandbox2/tmp/tmp.GpN6aA08mH/Vampire---4.8_8009',m__2110) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG109+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:16:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.GpN6aA08mH/Vampire---4.8_8009
% 0.58/0.75 % (8223)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (8228)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 (2996ds/56Mi)
% 0.58/0.75 % (8221)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 (2996ds/34Mi)
% 0.58/0.75 % (8222)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 (2996ds/51Mi)
% 0.58/0.75 % (8224)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (8225)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 (2996ds/34Mi)
% 0.58/0.75 % (8226)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (8227)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 (2996ds/83Mi)
% 0.59/0.77 % (8225)Refutation not found, incomplete strategy% (8225)------------------------------
% 0.59/0.77 % (8225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (8225)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (8225)Memory used [KB]: 1453
% 0.59/0.77 % (8225)Time elapsed: 0.024 s
% 0.59/0.77 % (8225)Instructions burned: 22 (million)
% 0.59/0.77 % (8225)------------------------------
% 0.59/0.77 % (8225)------------------------------
% 0.59/0.78 % (8228)Instruction limit reached!
% 0.59/0.78 % (8228)------------------------------
% 0.59/0.78 % (8228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (8228)Termination reason: Unknown
% 0.59/0.78 % (8228)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (8228)Memory used [KB]: 1532
% 0.59/0.78 % (8228)Time elapsed: 0.031 s
% 0.59/0.78 % (8228)Instructions burned: 56 (million)
% 0.59/0.78 % (8228)------------------------------
% 0.59/0.78 % (8228)------------------------------
% 0.59/0.78 % (8231)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 (2995ds/55Mi)
% 0.59/0.78 % (8233)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 (2995ds/50Mi)
% 0.59/0.78 % (8224)Instruction limit reached!
% 0.59/0.78 % (8224)------------------------------
% 0.59/0.78 % (8224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (8224)Termination reason: Unknown
% 0.59/0.78 % (8224)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (8224)Memory used [KB]: 1664
% 0.59/0.79 % (8224)Time elapsed: 0.037 s
% 0.59/0.79 % (8224)Instructions burned: 33 (million)
% 0.59/0.79 % (8224)------------------------------
% 0.59/0.79 % (8224)------------------------------
% 0.59/0.79 % (8221)Instruction limit reached!
% 0.59/0.79 % (8221)------------------------------
% 0.59/0.79 % (8221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (8221)Termination reason: Unknown
% 0.59/0.79 % (8221)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (8221)Memory used [KB]: 1496
% 0.59/0.79 % (8221)Time elapsed: 0.040 s
% 0.59/0.79 % (8221)Instructions burned: 34 (million)
% 0.59/0.79 % (8221)------------------------------
% 0.59/0.79 % (8221)------------------------------
% 0.59/0.79 % (8235)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 (2995ds/208Mi)
% 0.59/0.79 % (8236)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 (2995ds/52Mi)
% 0.59/0.79 % (8223)Instruction limit reached!
% 0.59/0.79 % (8223)------------------------------
% 0.59/0.79 % (8223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (8223)Termination reason: Unknown
% 0.59/0.79 % (8223)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (8223)Memory used [KB]: 1935
% 0.59/0.79 % (8223)Time elapsed: 0.048 s
% 0.59/0.79 % (8223)Instructions burned: 79 (million)
% 0.59/0.79 % (8223)------------------------------
% 0.59/0.79 % (8223)------------------------------
% 0.59/0.80 % (8226)Instruction limit reached!
% 0.59/0.80 % (8226)------------------------------
% 0.59/0.80 % (8226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (8226)Termination reason: Unknown
% 0.59/0.80 % (8226)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (8226)Memory used [KB]: 1572
% 0.59/0.80 % (8226)Time elapsed: 0.049 s
% 0.59/0.80 % (8226)Instructions burned: 45 (million)
% 0.59/0.80 % (8226)------------------------------
% 0.59/0.80 % (8226)------------------------------
% 0.59/0.80 % (8237)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 (2995ds/518Mi)
% 0.59/0.80 % (8238)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 (2995ds/42Mi)
% 0.59/0.80 % (8222)Instruction limit reached!
% 0.59/0.80 % (8222)------------------------------
% 0.59/0.80 % (8222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (8222)Termination reason: Unknown
% 0.59/0.80 % (8222)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (8222)Memory used [KB]: 1848
% 0.59/0.80 % (8222)Time elapsed: 0.056 s
% 0.59/0.80 % (8222)Instructions burned: 51 (million)
% 0.59/0.80 % (8222)------------------------------
% 0.59/0.80 % (8222)------------------------------
% 0.59/0.81 % (8233)Instruction limit reached!
% 0.59/0.81 % (8233)------------------------------
% 0.59/0.81 % (8233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (8233)Termination reason: Unknown
% 0.59/0.81 % (8233)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (8233)Memory used [KB]: 1691
% 0.59/0.81 % (8233)Time elapsed: 0.029 s
% 0.59/0.81 % (8233)Instructions burned: 51 (million)
% 0.59/0.81 % (8233)------------------------------
% 0.59/0.81 % (8233)------------------------------
% 0.59/0.81 % (8240)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 (2995ds/243Mi)
% 0.59/0.81 % (8243)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 (2995ds/117Mi)
% 0.59/0.82 % (8227)Instruction limit reached!
% 0.59/0.82 % (8227)------------------------------
% 0.59/0.82 % (8227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (8227)Termination reason: Unknown
% 0.59/0.82 % (8227)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (8227)Memory used [KB]: 1901
% 0.59/0.82 % (8227)Time elapsed: 0.068 s
% 0.59/0.82 % (8227)Instructions burned: 83 (million)
% 0.59/0.82 % (8227)------------------------------
% 0.59/0.82 % (8227)------------------------------
% 1.00/0.82 % (8231)Instruction limit reached!
% 1.00/0.82 % (8231)------------------------------
% 1.00/0.82 % (8231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.82 % (8231)Termination reason: Unknown
% 1.00/0.82 % (8231)Termination phase: Saturation
% 1.00/0.82
% 1.00/0.82 % (8231)Memory used [KB]: 2047
% 1.00/0.82 % (8231)Time elapsed: 0.043 s
% 1.00/0.82 % (8231)Instructions burned: 55 (million)
% 1.00/0.82 % (8231)------------------------------
% 1.00/0.82 % (8231)------------------------------
% 1.00/0.82 % (8245)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 (2995ds/143Mi)
% 1.00/0.82 % (8246)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 (2995ds/93Mi)
% 1.00/0.83 % (8238)Instruction limit reached!
% 1.00/0.83 % (8238)------------------------------
% 1.00/0.83 % (8238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.83 % (8238)Termination reason: Unknown
% 1.00/0.83 % (8238)Termination phase: Saturation
% 1.00/0.83
% 1.00/0.83 % (8238)Memory used [KB]: 1691
% 1.00/0.83 % (8238)Time elapsed: 0.031 s
% 1.00/0.83 % (8238)Instructions burned: 42 (million)
% 1.00/0.83 % (8238)------------------------------
% 1.00/0.83 % (8238)------------------------------
% 1.00/0.83 % (8236)Instruction limit reached!
% 1.00/0.83 % (8236)------------------------------
% 1.00/0.83 % (8236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.83 % (8236)Termination reason: Unknown
% 1.00/0.83 % (8236)Termination phase: Saturation
% 1.00/0.83
% 1.00/0.83 % (8236)Memory used [KB]: 1816
% 1.00/0.83 % (8236)Time elapsed: 0.042 s
% 1.00/0.83 % (8236)Instructions burned: 52 (million)
% 1.00/0.83 % (8236)------------------------------
% 1.00/0.83 % (8236)------------------------------
% 1.00/0.83 % (8249)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 (2995ds/62Mi)
% 1.00/0.84 % (8250)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 (2995ds/32Mi)
% 1.00/0.85 % (8237)First to succeed.
% 1.00/0.85 % (8237)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8196"
% 1.00/0.86 % (8237)Refutation found. Thanks to Tanya!
% 1.00/0.86 % SZS status Theorem for Vampire---4
% 1.00/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 1.00/0.86 % (8237)------------------------------
% 1.00/0.86 % (8237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.86 % (8237)Termination reason: Refutation
% 1.00/0.86
% 1.00/0.86 % (8237)Memory used [KB]: 2019
% 1.00/0.86 % (8237)Time elapsed: 0.057 s
% 1.00/0.86 % (8237)Instructions burned: 104 (million)
% 1.00/0.86 % (8196)Success in time 0.501 s
% 1.00/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------