TSTP Solution File: RNG126+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 18:15:11 EDT 2022
% Result : Theorem 2.16s 0.63s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 102 ( 11 unt; 0 def)
% Number of atoms : 593 ( 146 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 730 ( 239 ~; 221 |; 213 &)
% ( 26 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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; 9 con; 0-2 aty)
% Number of variables : 266 ( 188 !; 78 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1567,plain,
$false,
inference(avatar_sat_refutation,[],[f507,f515,f529,f1559]) ).
fof(f1559,plain,
( ~ spl44_3
| ~ spl44_9 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl44_3
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f1557,f335]) ).
fof(f335,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( aElementOf0(xu,xI)
& aElementOf0(sK35,slsdtgt0(xb))
& xu = sdtpldt0(sK36,sK35)
& aElementOf0(sK36,slsdtgt0(xa))
& ! [X2] :
( ( ~ aElementOf0(X2,xI)
& ! [X3,X4] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X3,slsdtgt0(xa))
| sdtpldt0(X3,X4) != X2 ) )
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| sz00 = X2 )
& sz00 != xu ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f90,f195]) ).
fof(f195,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& sdtpldt0(X1,X0) = xu
& aElementOf0(X1,slsdtgt0(xa)) )
=> ( aElementOf0(sK35,slsdtgt0(xb))
& xu = sdtpldt0(sK36,sK35)
& aElementOf0(sK36,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( aElementOf0(xu,xI)
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& sdtpldt0(X1,X0) = xu
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X2] :
( ( ~ aElementOf0(X2,xI)
& ! [X3,X4] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X3,slsdtgt0(xa))
| sdtpldt0(X3,X4) != X2 ) )
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| sz00 = X2 )
& sz00 != xu ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| sz00 = X2
| ( ~ aElementOf0(X2,xI)
& ! [X3,X4] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X3,slsdtgt0(xa))
| sdtpldt0(X3,X4) != X2 ) ) )
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& sdtpldt0(X1,X0) = xu
& aElementOf0(X1,slsdtgt0(xa)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X2] :
( ( sz00 != X2
& ( aElementOf0(X2,xI)
| ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 ) ) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) )
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& sdtpldt0(X1,X0) = xu
& aElementOf0(X1,slsdtgt0(xa)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( sz00 != xu
& ? [X1,X0] :
( aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa))
& sdtpldt0(X0,X1) = xu )
& ! [X0] :
( ( sz00 != X0
& ( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 )
| aElementOf0(X0,xI) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f1557,plain,
( ~ aElementOf0(xu,xI)
| ~ spl44_3
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f1556,f351]) ).
fof(f351,plain,
aElement0(sK41),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( xc = sdtasdt0(xu,sK41)
& aElement0(sK41) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f47,f203]) ).
fof(f203,plain,
( ? [X0] :
( xc = sdtasdt0(xu,X0)
& aElement0(X0) )
=> ( xc = sdtasdt0(xu,sK41)
& aElement0(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] :
( xc = sdtasdt0(xu,X0)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2744) ).
fof(f1556,plain,
( ~ aElement0(sK41)
| ~ aElementOf0(xu,xI)
| ~ spl44_3
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f1532,f462]) ).
fof(f462,plain,
~ aElementOf0(xc,xI),
inference(backward_demodulation,[],[f278,f349]) ).
fof(f349,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) ) )
| ~ aElementOf0(X0,xI) )
& aSet0(xI)
& ! [X3] :
( ( ( sdtasdt0(xb,sK37(X3)) = X3
& aElement0(sK37(X3)) )
| ~ aElementOf0(X3,slsdtgt0(xb)) )
& ( aElementOf0(X3,slsdtgt0(xb))
| ! [X5] :
( sdtasdt0(xb,X5) != X3
| ~ aElement0(X5) ) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ( sdtasdt0(xa,sK38(X6)) = X6
& aElement0(sK38(X6)) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) )
& ! [X9] :
( ( ( aElementOf0(sK39(X9),slsdtgt0(xa))
& sdtpldt0(sK39(X9),sK40(X9)) = X9
& aElementOf0(sK40(X9),slsdtgt0(xb)) )
| ~ aElementOf0(X9,xI) )
& ( aElementOf0(X9,xI)
| ! [X12,X13] :
( ~ aElementOf0(X12,slsdtgt0(xa))
| sdtpldt0(X12,X13) != X9
| ~ aElementOf0(X13,slsdtgt0(xb)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40])],[f198,f201,f200,f199]) ).
fof(f199,plain,
! [X3] :
( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
=> ( sdtasdt0(xb,sK37(X3)) = X3
& aElement0(sK37(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X6] :
( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
=> ( sdtasdt0(xa,sK38(X6)) = X6
& aElement0(sK38(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X9] :
( ? [X10,X11] :
( aElementOf0(X10,slsdtgt0(xa))
& sdtpldt0(X10,X11) = X9
& aElementOf0(X11,slsdtgt0(xb)) )
=> ( aElementOf0(sK39(X9),slsdtgt0(xa))
& sdtpldt0(sK39(X9),sK40(X9)) = X9
& aElementOf0(sK40(X9),slsdtgt0(xb)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) ) )
| ~ aElementOf0(X0,xI) )
& aSet0(xI)
& ! [X3] :
( ( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
| ~ aElementOf0(X3,slsdtgt0(xb)) )
& ( aElementOf0(X3,slsdtgt0(xb))
| ! [X5] :
( sdtasdt0(xb,X5) != X3
| ~ aElement0(X5) ) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) )
& ! [X9] :
( ( ? [X10,X11] :
( aElementOf0(X10,slsdtgt0(xa))
& sdtpldt0(X10,X11) = X9
& aElementOf0(X11,slsdtgt0(xb)) )
| ~ aElementOf0(X9,xI) )
& ( aElementOf0(X9,xI)
| ! [X12,X13] :
( ~ aElementOf0(X12,slsdtgt0(xa))
| sdtpldt0(X12,X13) != X9
| ~ aElementOf0(X13,slsdtgt0(xb)) ) ) ) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),xI)
| ~ aElementOf0(X5,xI) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI) ) )
| ~ aElementOf0(X4,xI) )
& aSet0(xI)
& ! [X0] :
( ( ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) )
| ~ aElementOf0(X0,slsdtgt0(xb)) )
& ( aElementOf0(X0,slsdtgt0(xb))
| ! [X1] :
( sdtasdt0(xb,X1) != X0
| ~ aElement0(X1) ) ) )
& ! [X2] :
( ( aElementOf0(X2,slsdtgt0(xa))
| ! [X3] :
( sdtasdt0(xa,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(xa,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,slsdtgt0(xa)) ) )
& ! [X7] :
( ( ? [X9,X8] :
( aElementOf0(X9,slsdtgt0(xa))
& sdtpldt0(X9,X8) = X7
& aElementOf0(X8,slsdtgt0(xb)) )
| ~ aElementOf0(X7,xI) )
& ( aElementOf0(X7,xI)
| ! [X9,X8] :
( ~ aElementOf0(X9,slsdtgt0(xa))
| sdtpldt0(X9,X8) != X7
| ~ aElementOf0(X8,slsdtgt0(xb)) ) ) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),xI)
| ~ aElementOf0(X5,xI) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI) ) )
| ~ aElementOf0(X4,xI) )
& aSet0(xI)
& ! [X0] :
( ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xb)) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( sdtasdt0(xa,X3) = X2
& aElement0(X3) ) )
& ! [X7] :
( ? [X9,X8] :
( aElementOf0(X9,slsdtgt0(xa))
& sdtpldt0(X9,X8) = X7
& aElementOf0(X8,slsdtgt0(xb)) )
<=> aElementOf0(X7,xI) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( sdtasdt0(xa,X3) = X2
& aElement0(X3) ) )
& aIdeal0(xI)
& ! [X0] :
( ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xb)) )
& ! [X4] :
( aElementOf0(X4,xI)
=> ( ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X4,X5),xI) )
& ! [X6] :
( aElement0(X6)
=> aElementOf0(sdtasdt0(X6,X4),xI) ) ) )
& aSet0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X7] :
( ? [X9,X8] :
( aElementOf0(X9,slsdtgt0(xa))
& sdtpldt0(X9,X8) = X7
& aElementOf0(X8,slsdtgt0(xb)) )
<=> aElementOf0(X7,xI) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( aSet0(xI)
& ! [X0] :
( ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xb)) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = X0 ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X2,X1] :
( aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb)) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f278,plain,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa))
| sdtpldt0(X1,X0) != xc )
& ! [X2] :
( ( ( aElement0(sK24(X2))
& sdtasdt0(xb,sK24(X2)) = X2 )
| ~ aElementOf0(X2,slsdtgt0(xb)) )
& ( aElementOf0(X2,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X2 ) ) )
& ! [X5] :
( ( ( sdtasdt0(xa,sK25(X5)) = X5
& aElement0(sK25(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ( aElementOf0(X5,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X5
| ~ aElement0(X7) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f161,f163,f162]) ).
fof(f162,plain,
! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
=> ( aElement0(sK24(X2))
& sdtasdt0(xb,sK24(X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X5] :
( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
=> ( sdtasdt0(xa,sK25(X5)) = X5
& aElement0(sK25(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa))
| sdtpldt0(X1,X0) != xc )
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
| ~ aElementOf0(X2,slsdtgt0(xb)) )
& ( aElementOf0(X2,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X2 ) ) )
& ! [X5] :
( ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ( aElementOf0(X5,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X5
| ~ aElement0(X7) ) ) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X4,X5] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa))
| xc != sdtpldt0(X5,X4) )
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
| ~ aElementOf0(X2,slsdtgt0(xb)) )
& ( aElementOf0(X2,slsdtgt0(xb))
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(xb,X3) != X2 ) ) )
& ! [X0] :
( ( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
| ~ aElementOf0(X0,slsdtgt0(xa)) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ! [X1] :
( sdtasdt0(xa,X1) != X0
| ~ aElement0(X1) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X4,X5] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa))
| xc != sdtpldt0(X5,X4) )
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
<=> aElementOf0(X2,slsdtgt0(xb)) )
& ! [X0] :
( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
( ! [X4,X5] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa))
| xc != sdtpldt0(X5,X4) )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
<=> aElementOf0(X2,slsdtgt0(xb)) )
& ! [X0] :
( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ( ! [X0] :
( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xa)) )
=> ( ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 )
<=> aElementOf0(X2,slsdtgt0(xb)) )
=> ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X5,slsdtgt0(xa))
& xc = sdtpldt0(X5,X4) )
| aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( ! [X0] :
( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xa)) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
=> ( aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X1,X0] :
( sdtpldt0(X0,X1) = xc
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( ! [X0] :
( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
<=> aElementOf0(X0,slsdtgt0(xa)) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
=> ( aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X1,X0] :
( sdtpldt0(X0,X1) = xc
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1532,plain,
( aElementOf0(xc,xI)
| ~ aElement0(sK41)
| ~ aElementOf0(xu,xI)
| ~ spl44_3
| ~ spl44_9 ),
inference(superposition,[],[f1420,f352]) ).
fof(f352,plain,
xc = sdtasdt0(xu,sK41),
inference(cnf_transformation,[],[f204]) ).
fof(f1420,plain,
( ! [X18,X17] :
( aElementOf0(sdtasdt0(X18,X17),xI)
| ~ aElement0(X17)
| ~ aElementOf0(X18,xI) )
| ~ spl44_3
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f1368,f786]) ).
fof(f786,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(X0) )
| ~ spl44_3
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f785,f573]) ).
fof(f573,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(sK39(X0)) )
| ~ spl44_9 ),
inference(resolution,[],[f339,f533]) ).
fof(f533,plain,
( ! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| aElement0(X0) )
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f530,f272]) ).
fof(f272,plain,
! [X5] :
( ~ aElementOf0(X5,slsdtgt0(xa))
| aElement0(sK25(X5)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f530,plain,
( ! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElement0(sK25(X0))
| aElement0(X0) )
| ~ spl44_9 ),
inference(superposition,[],[f506,f273]) ).
fof(f273,plain,
! [X5] :
( sdtasdt0(xa,sK25(X5)) = X5
| ~ aElementOf0(X5,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f506,plain,
( ! [X1] :
( aElement0(sdtasdt0(xa,X1))
| ~ aElement0(X1) )
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl44_9
<=> ! [X1] :
( aElement0(sdtasdt0(xa,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_9])]) ).
fof(f339,plain,
! [X9] :
( aElementOf0(sK39(X9),slsdtgt0(xa))
| ~ aElementOf0(X9,xI) ),
inference(cnf_transformation,[],[f202]) ).
fof(f785,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElement0(sK39(X0)) )
| ~ spl44_3 ),
inference(subsumption_resolution,[],[f783,f570]) ).
fof(f570,plain,
( ! [X4] :
( ~ aElementOf0(X4,xI)
| aElement0(sK40(X4)) )
| ~ spl44_3 ),
inference(subsumption_resolution,[],[f569,f479]) ).
fof(f479,plain,
( aSet0(slsdtgt0(xb))
| ~ spl44_3 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl44_3
<=> aSet0(slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_3])]) ).
fof(f569,plain,
! [X4] :
( aElement0(sK40(X4))
| ~ aElementOf0(X4,xI)
| ~ aSet0(slsdtgt0(xb)) ),
inference(resolution,[],[f337,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f337,plain,
! [X9] :
( aElementOf0(sK40(X9),slsdtgt0(xb))
| ~ aElementOf0(X9,xI) ),
inference(cnf_transformation,[],[f202]) ).
fof(f783,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xI)
| ~ aElement0(sK40(X0))
| ~ aElement0(sK39(X0)) ),
inference(superposition,[],[f328,f338]) ).
fof(f338,plain,
! [X9] :
( sdtpldt0(sK39(X9),sK40(X9)) = X9
| ~ aElementOf0(X9,xI) ),
inference(cnf_transformation,[],[f202]) ).
fof(f328,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ aElement0(X1)
| aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f1368,plain,
! [X18,X17] :
( ~ aElementOf0(X18,xI)
| ~ aElement0(X17)
| ~ aElement0(X18)
| aElementOf0(sdtasdt0(X18,X17),xI) ),
inference(duplicate_literal_removal,[],[f1348]) ).
fof(f1348,plain,
! [X18,X17] :
( ~ aElement0(X17)
| ~ aElement0(X17)
| ~ aElementOf0(X18,xI)
| aElementOf0(sdtasdt0(X18,X17),xI)
| ~ aElement0(X18) ),
inference(superposition,[],[f347,f246]) ).
fof(f246,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f347,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElementOf0(X0,xI)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f529,plain,
spl44_7,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| spl44_7 ),
inference(subsumption_resolution,[],[f527,f223]) ).
fof(f223,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f527,plain,
( ~ aElement0(xa)
| spl44_7 ),
inference(resolution,[],[f497,f366]) ).
fof(f366,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ~ aElementOf0(sK20(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK20(X0,X1) ) )
& ( aElementOf0(sK20(X0,X1),X1)
| ( aElement0(sK21(X0,X1))
& sK20(X0,X1) = sdtasdt0(X0,sK21(X0,X1)) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( ( aElement0(sK22(X0,X5))
& sdtasdt0(X0,sK22(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f151,f154,f153,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) )
=> ( ( ~ aElementOf0(sK20(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK20(X0,X1) ) )
& ( aElementOf0(sK20(X0,X1),X1)
| ? [X4] :
( aElement0(X4)
& sK20(X0,X1) = sdtasdt0(X0,X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X4] :
( aElement0(X4)
& sK20(X0,X1) = sdtasdt0(X0,X4) )
=> ( aElement0(sK21(X0,X1))
& sK20(X0,X1) = sdtasdt0(X0,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X5] :
( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
=> ( aElement0(sK22(X0,X5))
& sdtasdt0(X0,sK22(X0,X5)) = X5 ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f497,plain,
( ~ aSet0(slsdtgt0(xa))
| spl44_7 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl44_7
<=> aSet0(slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_7])]) ).
fof(f515,plain,
spl44_3,
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| spl44_3 ),
inference(subsumption_resolution,[],[f513,f224]) ).
fof(f224,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f513,plain,
( ~ aElement0(xb)
| spl44_3 ),
inference(resolution,[],[f480,f366]) ).
fof(f480,plain,
( ~ aSet0(slsdtgt0(xb))
| spl44_3 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f507,plain,
( ~ spl44_7
| spl44_9 ),
inference(avatar_split_clause,[],[f466,f505,f495]) ).
fof(f466,plain,
! [X1] :
( aElement0(sdtasdt0(xa,X1))
| ~ aElement0(X1)
| ~ aSet0(slsdtgt0(xa)) ),
inference(resolution,[],[f225,f369]) ).
fof(f369,plain,
! [X7] :
( aElementOf0(sdtasdt0(xa,X7),slsdtgt0(xa))
| ~ aElement0(X7) ),
inference(equality_resolution,[],[f271]) ).
fof(f271,plain,
! [X7,X5] :
( aElementOf0(X5,slsdtgt0(xa))
| sdtasdt0(xa,X7) != X5
| ~ aElement0(X7) ),
inference(cnf_transformation,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 11:39:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (15825)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50 % (15800)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (15817)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (15809)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (15797)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (15798)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (15798)Instruction limit reached!
% 0.19/0.52 % (15798)------------------------------
% 0.19/0.52 % (15798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15798)Termination reason: Unknown
% 0.19/0.52 % (15798)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (15798)Memory used [KB]: 1535
% 0.19/0.52 % (15798)Time elapsed: 0.003 s
% 0.19/0.52 % (15798)Instructions burned: 3 (million)
% 0.19/0.52 % (15798)------------------------------
% 0.19/0.52 % (15798)------------------------------
% 0.19/0.52 % (15799)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (15819)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (15800)Instruction limit reached!
% 0.19/0.52 % (15800)------------------------------
% 0.19/0.52 % (15800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15821)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (15820)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (15801)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (15823)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (15796)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (15813)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (15806)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (15818)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (15813)Instruction limit reached!
% 0.19/0.53 % (15813)------------------------------
% 0.19/0.53 % (15813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15800)Termination reason: Unknown
% 0.19/0.53 % (15800)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (15800)Memory used [KB]: 6268
% 0.19/0.53 % (15800)Time elapsed: 0.009 s
% 0.19/0.53 % (15800)Instructions burned: 13 (million)
% 0.19/0.53 % (15800)------------------------------
% 0.19/0.53 % (15800)------------------------------
% 0.19/0.53 % (15824)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (15810)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (15804)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (15807)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (15813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15813)Termination reason: Unknown
% 0.19/0.53 % (15813)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (15813)Memory used [KB]: 1535
% 0.19/0.53 % (15813)Time elapsed: 0.005 s
% 0.19/0.53 % (15813)Instructions burned: 3 (million)
% 0.19/0.53 % (15813)------------------------------
% 0.19/0.53 % (15813)------------------------------
% 0.19/0.53 % (15810)Instruction limit reached!
% 0.19/0.53 % (15810)------------------------------
% 0.19/0.53 % (15810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15810)Termination reason: Unknown
% 0.19/0.53 % (15810)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (15810)Memory used [KB]: 1535
% 0.19/0.53 % (15810)Time elapsed: 0.004 s
% 0.19/0.53 % (15810)Instructions burned: 4 (million)
% 0.19/0.53 % (15810)------------------------------
% 0.19/0.53 % (15810)------------------------------
% 0.19/0.53 % (15806)Instruction limit reached!
% 0.19/0.53 % (15806)------------------------------
% 0.19/0.53 % (15806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15806)Termination reason: Unknown
% 0.19/0.53 % (15806)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (15806)Memory used [KB]: 6268
% 0.19/0.53 % (15806)Time elapsed: 0.131 s
% 0.19/0.53 % (15806)Instructions burned: 12 (million)
% 0.19/0.53 % (15806)------------------------------
% 0.19/0.53 % (15806)------------------------------
% 0.19/0.53 % (15797)Instruction limit reached!
% 0.19/0.53 % (15797)------------------------------
% 0.19/0.53 % (15797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15797)Termination reason: Unknown
% 0.19/0.53 % (15797)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (15797)Memory used [KB]: 6396
% 0.19/0.53 % (15797)Time elapsed: 0.136 s
% 0.19/0.53 % (15797)Instructions burned: 14 (million)
% 0.19/0.53 % (15797)------------------------------
% 0.19/0.53 % (15797)------------------------------
% 0.19/0.54 % (15802)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (15807)Instruction limit reached!
% 0.19/0.54 % (15807)------------------------------
% 0.19/0.54 % (15807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (15807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (15807)Termination reason: Unknown
% 0.19/0.54 % (15807)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (15807)Memory used [KB]: 6268
% 0.19/0.54 % (15807)Time elapsed: 0.005 s
% 0.19/0.54 % (15807)Instructions burned: 9 (million)
% 0.19/0.54 % (15807)------------------------------
% 0.19/0.54 % (15807)------------------------------
% 0.19/0.54 % (15811)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (15805)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (15822)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (15816)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (15811)Instruction limit reached!
% 0.19/0.54 % (15811)------------------------------
% 0.19/0.54 % (15811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (15811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (15811)Termination reason: Unknown
% 0.19/0.54 % (15811)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (15811)Memory used [KB]: 6268
% 0.19/0.54 % (15811)Time elapsed: 0.004 s
% 0.19/0.54 % (15811)Instructions burned: 8 (million)
% 0.19/0.54 % (15811)------------------------------
% 0.19/0.54 % (15811)------------------------------
% 0.19/0.54 % (15812)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (15803)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (15814)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (15814)Instruction limit reached!
% 0.19/0.54 % (15814)------------------------------
% 0.19/0.54 % (15814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (15814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (15814)Termination reason: Unknown
% 0.19/0.54 % (15814)Termination phase: SInE selection
% 0.19/0.54
% 0.19/0.54 % (15814)Memory used [KB]: 1407
% 0.19/0.54 % (15814)Time elapsed: 0.002 s
% 0.19/0.54 % (15814)Instructions burned: 2 (million)
% 0.19/0.54 % (15814)------------------------------
% 0.19/0.54 % (15814)------------------------------
% 0.19/0.54 % (15808)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.55 % (15801)Instruction limit reached!
% 0.19/0.55 % (15801)------------------------------
% 0.19/0.55 % (15801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (15801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (15801)Termination reason: Unknown
% 0.19/0.55 % (15801)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (15801)Memory used [KB]: 1918
% 0.19/0.55 % (15801)Time elapsed: 0.155 s
% 0.19/0.55 % (15801)Instructions burned: 15 (million)
% 0.19/0.55 % (15801)------------------------------
% 0.19/0.55 % (15801)------------------------------
% 1.61/0.55 % (15824)Instruction limit reached!
% 1.61/0.55 % (15824)------------------------------
% 1.61/0.55 % (15824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55 % (15824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55 % (15824)Termination reason: Unknown
% 1.61/0.55 % (15824)Termination phase: Saturation
% 1.61/0.55
% 1.61/0.55 % (15824)Memory used [KB]: 1663
% 1.61/0.55 % (15824)Time elapsed: 0.005 s
% 1.61/0.55 % (15824)Instructions burned: 9 (million)
% 1.61/0.55 % (15824)------------------------------
% 1.61/0.55 % (15824)------------------------------
% 1.61/0.56 % (15815)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.61/0.57 % (15808)Instruction limit reached!
% 1.61/0.57 % (15808)------------------------------
% 1.61/0.57 % (15808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (15808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (15808)Termination reason: Unknown
% 1.61/0.57 % (15808)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (15808)Memory used [KB]: 1918
% 1.61/0.57 % (15808)Time elapsed: 0.169 s
% 1.61/0.57 % (15808)Instructions burned: 17 (million)
% 1.61/0.57 % (15808)------------------------------
% 1.61/0.57 % (15808)------------------------------
% 1.61/0.57 % (15825)Instruction limit reached!
% 1.61/0.57 % (15825)------------------------------
% 1.61/0.57 % (15825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (15825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (15825)Termination reason: Unknown
% 1.61/0.57 % (15825)Termination phase: Saturation
% 1.61/0.57
% 1.61/0.57 % (15825)Memory used [KB]: 6524
% 1.61/0.57 % (15825)Time elapsed: 0.147 s
% 1.61/0.57 % (15825)Instructions burned: 24 (million)
% 1.61/0.57 % (15825)------------------------------
% 1.61/0.57 % (15825)------------------------------
% 1.74/0.57 % (15815)Instruction limit reached!
% 1.74/0.57 % (15815)------------------------------
% 1.74/0.57 % (15815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57 % (15815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57 % (15815)Termination reason: Unknown
% 1.74/0.57 % (15815)Termination phase: Saturation
% 1.74/0.57
% 1.74/0.57 % (15815)Memory used [KB]: 6396
% 1.74/0.57 % (15815)Time elapsed: 0.139 s
% 1.74/0.57 % (15815)Instructions burned: 12 (million)
% 1.74/0.57 % (15815)------------------------------
% 1.74/0.57 % (15815)------------------------------
% 1.74/0.58 % (15816)Instruction limit reached!
% 1.74/0.58 % (15816)------------------------------
% 1.74/0.58 % (15816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (15816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (15816)Termination reason: Unknown
% 1.74/0.58 % (15816)Termination phase: Saturation
% 1.74/0.58
% 1.74/0.58 % (15816)Memory used [KB]: 6652
% 1.74/0.58 % (15816)Time elapsed: 0.177 s
% 1.74/0.58 % (15816)Instructions burned: 30 (million)
% 1.74/0.58 % (15816)------------------------------
% 1.74/0.58 % (15816)------------------------------
% 1.74/0.59 % (15823)Instruction limit reached!
% 1.74/0.59 % (15823)------------------------------
% 1.74/0.59 % (15823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (15823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (15823)Termination reason: Unknown
% 1.74/0.59 % (15823)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (15823)Memory used [KB]: 6652
% 1.74/0.59 % (15823)Time elapsed: 0.194 s
% 1.74/0.59 % (15823)Instructions burned: 25 (million)
% 1.74/0.59 % (15823)------------------------------
% 1.74/0.59 % (15823)------------------------------
% 1.74/0.59 % (15809)Instruction limit reached!
% 1.74/0.59 % (15809)------------------------------
% 1.74/0.59 % (15809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (15809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (15809)Termination reason: Unknown
% 1.74/0.59 % (15809)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (15809)Memory used [KB]: 7164
% 1.74/0.59 % (15809)Time elapsed: 0.173 s
% 1.74/0.59 % (15809)Instructions burned: 51 (million)
% 1.74/0.59 % (15809)------------------------------
% 1.74/0.59 % (15809)------------------------------
% 1.74/0.59 % (15805)Instruction limit reached!
% 1.74/0.59 % (15805)------------------------------
% 1.74/0.59 % (15805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (15805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (15805)Termination reason: Unknown
% 1.74/0.59 % (15805)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (15805)Memory used [KB]: 6652
% 1.74/0.59 % (15805)Time elapsed: 0.201 s
% 1.74/0.59 % (15805)Instructions burned: 35 (million)
% 1.74/0.59 % (15805)------------------------------
% 1.74/0.59 % (15805)------------------------------
% 1.74/0.60 % (15804)Instruction limit reached!
% 1.74/0.60 % (15804)------------------------------
% 1.74/0.60 % (15804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (15804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (15804)Termination reason: Unknown
% 1.74/0.60 % (15804)Termination phase: Saturation
% 1.74/0.60
% 1.74/0.60 % (15804)Memory used [KB]: 7036
% 1.74/0.60 % (15804)Time elapsed: 0.195 s
% 1.74/0.60 % (15804)Instructions burned: 49 (million)
% 1.74/0.60 % (15804)------------------------------
% 1.74/0.60 % (15804)------------------------------
% 1.74/0.60 % (15819)Instruction limit reached!
% 1.74/0.60 % (15819)------------------------------
% 1.74/0.60 % (15819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (15819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (15819)Termination reason: Unknown
% 1.74/0.60 % (15819)Termination phase: Saturation
% 1.74/0.60
% 1.74/0.60 % (15819)Memory used [KB]: 2814
% 1.74/0.60 % (15819)Time elapsed: 0.193 s
% 1.74/0.60 % (15819)Instructions burned: 45 (million)
% 1.74/0.60 % (15819)------------------------------
% 1.74/0.60 % (15819)------------------------------
% 1.74/0.60 % (15799)Instruction limit reached!
% 1.74/0.60 % (15799)------------------------------
% 1.74/0.60 % (15799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (15799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (15799)Termination reason: Unknown
% 1.74/0.60 % (15799)Termination phase: Saturation
% 1.74/0.60
% 1.74/0.60 % (15799)Memory used [KB]: 7036
% 1.74/0.60 % (15799)Time elapsed: 0.198 s
% 1.74/0.60 % (15799)Instructions burned: 51 (million)
% 1.74/0.60 % (15799)------------------------------
% 1.74/0.60 % (15799)------------------------------
% 1.74/0.61 % (15812)Instruction limit reached!
% 1.74/0.61 % (15812)------------------------------
% 1.74/0.61 % (15812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.61 % (15812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61 % (15812)Termination reason: Unknown
% 1.74/0.61 % (15812)Termination phase: Saturation
% 1.74/0.61
% 1.74/0.61 % (15812)Memory used [KB]: 6652
% 1.74/0.61 % (15812)Time elapsed: 0.205 s
% 1.74/0.61 % (15812)Instructions burned: 51 (million)
% 1.74/0.61 % (15812)------------------------------
% 1.74/0.61 % (15812)------------------------------
% 1.74/0.62 % (15803)Instruction limit reached!
% 1.74/0.62 % (15803)------------------------------
% 1.74/0.62 % (15803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 % (15803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (15803)Termination reason: Unknown
% 1.74/0.62 % (15803)Termination phase: Saturation
% 1.74/0.62
% 1.74/0.62 % (15803)Memory used [KB]: 7036
% 1.74/0.62 % (15803)Time elapsed: 0.191 s
% 1.74/0.62 % (15803)Instructions burned: 39 (million)
% 1.74/0.62 % (15803)------------------------------
% 1.74/0.62 % (15803)------------------------------
% 1.74/0.63 % (15820)Instruction limit reached!
% 1.74/0.63 % (15820)------------------------------
% 1.74/0.63 % (15820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.63 % (15820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.63 % (15820)Termination reason: Unknown
% 1.74/0.63 % (15820)Termination phase: Saturation
% 1.74/0.63
% 1.74/0.63 % (15820)Memory used [KB]: 7291
% 1.74/0.63 % (15820)Time elapsed: 0.235 s
% 1.74/0.63 % (15820)Instructions burned: 50 (million)
% 1.74/0.63 % (15820)------------------------------
% 1.74/0.63 % (15820)------------------------------
% 2.16/0.63 % (15802)First to succeed.
% 2.16/0.63 % (15802)Refutation found. Thanks to Tanya!
% 2.16/0.63 % SZS status Theorem for theBenchmark
% 2.16/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.63 % (15802)------------------------------
% 2.16/0.63 % (15802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (15802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (15802)Termination reason: Refutation
% 2.16/0.63
% 2.16/0.63 % (15802)Memory used [KB]: 6780
% 2.16/0.63 % (15802)Time elapsed: 0.201 s
% 2.16/0.63 % (15802)Instructions burned: 36 (million)
% 2.16/0.63 % (15802)------------------------------
% 2.16/0.63 % (15802)------------------------------
% 2.16/0.63 % (15795)Success in time 0.295 s
%------------------------------------------------------------------------------