TSTP Solution File: RNG120+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG120+4 : 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 : n028.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 08:54:23 EDT 2024
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 77 ( 11 unt; 0 def)
% Number of atoms : 434 ( 71 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 517 ( 160 ~; 144 |; 172 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 176 ( 118 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1383,plain,
$false,
inference(avatar_sat_refutation,[],[f809,f820,f1069,f1380]) ).
fof(f1380,plain,
( spl43_19
| ~ spl43_39 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| spl43_19
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1378,f218]) ).
fof(f218,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ( sdtpldt0(sK8(X0),sK9(X0)) = X0
& aElementOf0(sK9(X0),slsdtgt0(xb))
& aElementOf0(sK8(X0),slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(xb,sK10(X5)) = X5
& aElement0(sK10(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ( sdtasdt0(xa,sK11(X8)) = X8
& aElement0(sK11(X8)) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f129,f132,f131,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( sdtpldt0(sK8(X0),sK9(X0)) = X0
& aElementOf0(sK9(X0),slsdtgt0(xb))
& aElementOf0(sK8(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X5] :
( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(xb,sK10(X5)) = X5
& aElement0(sK10(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X8] :
( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
=> ( sdtasdt0(xa,sK11(X8)) = X8
& aElement0(sK11(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( aElementOf0(X7,xI)
=> ( ! [X8] :
( aElement0(X8)
=> aElementOf0(sdtasdt0(X8,X7),xI) )
& ! [X9] :
( aElementOf0(X9,xI)
=> aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',m__2174) ).
fof(f1378,plain,
( ~ aIdeal0(xI)
| spl43_19
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1377,f256]) ).
fof(f256,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& xu = sdtpldt0(sK21,sK22)
& aElementOf0(sK22,slsdtgt0(xb))
& aElementOf0(sK21,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f69,f146]) ).
fof(f146,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( xu = sdtpldt0(sK21,sK22)
& aElementOf0(sK22,slsdtgt0(xb))
& aElementOf0(sK21,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',m__2273) ).
fof(f1377,plain,
( ~ aElementOf0(xu,xI)
| ~ aIdeal0(xI)
| spl43_19
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1374,f274]) ).
fof(f274,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',m__2666) ).
fof(f1374,plain,
( ~ aElement0(xq)
| ~ aElementOf0(xu,xI)
| ~ aIdeal0(xI)
| spl43_19
| ~ spl43_39 ),
inference(resolution,[],[f1373,f315]) ).
fof(f315,plain,
! [X0,X4,X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK31(X0),sK30(X0)),X0)
& aElement0(sK31(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK30(X0),sK32(X0)),X0)
& aElementOf0(sK32(X0),X0) ) )
& aElementOf0(sK30(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f170,f173,f172,f171]) ).
fof(f171,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK30(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK30(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK30(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK30(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK31(X0),sK30(X0)),X0)
& aElement0(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK30(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK30(X0),sK32(X0)),X0)
& aElementOf0(sK32(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mDefIdeal) ).
fof(f1373,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| spl43_19
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1372,f218]) ).
fof(f1372,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ aIdeal0(xI)
| spl43_19
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1367,f1057]) ).
fof(f1057,plain,
( aElement0(smndt0(sz10))
| ~ spl43_39 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1056,plain,
( spl43_39
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_39])]) ).
fof(f1367,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ aIdeal0(xI)
| spl43_19 ),
inference(resolution,[],[f808,f315]) ).
fof(f808,plain,
( ~ aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
| spl43_19 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl43_19
<=> aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_19])]) ).
fof(f1069,plain,
spl43_39,
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl43_39 ),
inference(subsumption_resolution,[],[f1067,f353]) ).
fof(f353,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mSortsC_01) ).
fof(f1067,plain,
( ~ aElement0(sz10)
| spl43_39 ),
inference(resolution,[],[f1058,f349]) ).
fof(f349,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mSortsU) ).
fof(f1058,plain,
( ~ aElement0(smndt0(sz10))
| spl43_39 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f820,plain,
spl43_18,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| spl43_18 ),
inference(subsumption_resolution,[],[f818,f274]) ).
fof(f818,plain,
( ~ aElement0(xq)
| spl43_18 ),
inference(subsumption_resolution,[],[f815,f419]) ).
fof(f419,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f418,f215]) ).
fof(f215,plain,
aSet0(xI),
inference(cnf_transformation,[],[f133]) ).
fof(f418,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f256,f306]) ).
fof(f306,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mEOfElem) ).
fof(f815,plain,
( ~ aElement0(xu)
| ~ aElement0(xq)
| spl43_18 ),
inference(resolution,[],[f804,f289]) ).
fof(f289,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mSortsB_02) ).
fof(f804,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| spl43_18 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl43_18
<=> aElement0(sdtasdt0(xq,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_18])]) ).
fof(f809,plain,
( ~ spl43_18
| ~ spl43_19 ),
inference(avatar_split_clause,[],[f797,f806,f802]) ).
fof(f797,plain,
( ~ aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(superposition,[],[f280,f345]) ).
fof(f345,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',mMulMnOne) ).
fof(f280,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
& ! [X0,X1] :
( sdtpldt0(X0,X1) != smndt0(sdtasdt0(xq,xu))
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,negated_conjecture,
~ ( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AS9n0001bP/Vampire---4.8_17066',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG120+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % 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
% 0.13/0.34 % Computer : n028.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri May 3 18:19:53 EDT 2024
% 0.19/0.35 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.19/0.35 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.AS9n0001bP/Vampire---4.8_17066
% 0.54/0.73 % (17174)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)
% 0.54/0.73 % (17177)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)
% 0.54/0.73 % (17176)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73 % (17175)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)
% 0.54/0.73 % (17178)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)
% 0.54/0.73 % (17180)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)
% 0.54/0.73 % (17179)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)
% 0.54/0.74 % (17181)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)
% 0.54/0.75 % (17174)Instruction limit reached!
% 0.54/0.75 % (17174)------------------------------
% 0.54/0.75 % (17174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (17174)Termination reason: Unknown
% 0.54/0.75 % (17174)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (17174)Memory used [KB]: 1585
% 0.54/0.75 % (17174)Time elapsed: 0.013 s
% 0.54/0.75 % (17174)Instructions burned: 35 (million)
% 0.54/0.75 % (17174)------------------------------
% 0.54/0.75 % (17174)------------------------------
% 0.54/0.75 % (17177)Instruction limit reached!
% 0.54/0.75 % (17177)------------------------------
% 0.54/0.75 % (17177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (17177)Termination reason: Unknown
% 0.54/0.75 % (17177)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (17177)Memory used [KB]: 1887
% 0.54/0.75 % (17177)Time elapsed: 0.016 s
% 0.54/0.75 % (17177)Instructions burned: 33 (million)
% 0.54/0.75 % (17177)------------------------------
% 0.54/0.75 % (17177)------------------------------
% 0.54/0.75 % (17182)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 (2996ds/55Mi)
% 0.54/0.75 % (17178)Instruction limit reached!
% 0.54/0.75 % (17178)------------------------------
% 0.54/0.75 % (17178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (17178)Termination reason: Unknown
% 0.54/0.75 % (17178)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (17178)Memory used [KB]: 1846
% 0.54/0.75 % (17178)Time elapsed: 0.018 s
% 0.54/0.75 % (17178)Instructions burned: 34 (million)
% 0.54/0.75 % (17178)------------------------------
% 0.54/0.75 % (17178)------------------------------
% 0.54/0.75 % (17184)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 (2996ds/208Mi)
% 0.54/0.76 % (17179)First to succeed.
% 0.54/0.76 % (17183)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 (2996ds/50Mi)
% 0.54/0.76 % (17179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17173"
% 0.54/0.76 % (17179)Refutation found. Thanks to Tanya!
% 0.54/0.76 % SZS status Theorem for Vampire---4
% 0.54/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76 % (17179)------------------------------
% 0.54/0.76 % (17179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (17179)Termination reason: Refutation
% 0.54/0.76
% 0.54/0.76 % (17179)Memory used [KB]: 1579
% 0.54/0.76 % (17179)Time elapsed: 0.026 s
% 0.54/0.76 % (17179)Instructions burned: 45 (million)
% 0.54/0.76 % (17173)Success in time 0.405 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------