TSTP Solution File: RNG111+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG111+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 : n022.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 08:54:19 EDT 2024
% Result : Theorem 0.53s 0.76s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 5 unt; 0 def)
% Number of atoms : 485 ( 160 equ)
% Maximal formula atoms : 66 ( 7 avg)
% Number of connectives : 630 ( 207 ~; 172 |; 217 &)
% ( 10 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 187 ( 85 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(avatar_sat_refutation,[],[f432,f446,f452,f489,f499,f506,f508,f514,f525,f535,f538]) ).
fof(f538,plain,
( ~ spl46_8
| spl46_7
| spl46_19 ),
inference(avatar_split_clause,[],[f537,f522,f443,f449]) ).
fof(f449,plain,
( spl46_8
<=> aElementOf0(sK41,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_8])]) ).
fof(f443,plain,
( spl46_7
<=> sz00 = sK41 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_7])]) ).
fof(f522,plain,
( spl46_19
<=> aElementOf0(sK38(sK41),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_19])]) ).
fof(f537,plain,
( sz00 = sK41
| ~ aElementOf0(sK41,xI)
| spl46_19 ),
inference(resolution,[],[f524,f375]) ).
fof(f375,plain,
! [X1] :
( aElementOf0(sK38(X1),xI)
| sz00 = X1
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ! [X1] :
( ( iLess0(sbrdtbr0(sK38(X1)),sbrdtbr0(X1))
& sz00 != sK38(X1)
& aElementOf0(sK38(X1),xI)
& sK38(X1) = sdtpldt0(sK39(X1),sK40(X1))
& aElementOf0(sK40(X1),slsdtgt0(xb))
& aElementOf0(sK39(X1),slsdtgt0(xa)) )
| sz00 = X1
| ( ~ aElementOf0(X1,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X1
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& ! [X7] :
( ( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(sK41))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != sK41
& aElementOf0(sK41,xI)
& sK41 = sdtpldt0(sK42,sK43)
& aElementOf0(sK43,slsdtgt0(xb))
& aElementOf0(sK42,slsdtgt0(xa)) )
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X14,X15] :
( sdtpldt0(X14,X15) != X7
| ~ aElementOf0(X15,slsdtgt0(xb))
| ~ aElementOf0(X14,slsdtgt0(xa)) ) ) )
& sz00 != sK37
& aElementOf0(sK37,xI)
& sK37 = sdtpldt0(sK44,sK45)
& aElementOf0(sK45,slsdtgt0(xb))
& aElementOf0(sK44,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45])],[f189,f195,f194,f193,f192,f191,f190]) ).
fof(f190,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
| sz00 = X1
| ( ~ aElementOf0(X1,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X1
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(X8))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != X8
& aElementOf0(X8,xI)
& ? [X12,X13] :
( sdtpldt0(X12,X13) = X8
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X0))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X14,X15] :
( sdtpldt0(X14,X15) != X7
| ~ aElementOf0(X15,slsdtgt0(xb))
| ~ aElementOf0(X14,slsdtgt0(xa)) ) ) )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X16,X17] :
( sdtpldt0(X16,X17) = X0
& aElementOf0(X17,slsdtgt0(xb))
& aElementOf0(X16,slsdtgt0(xa)) ) )
=> ( ! [X1] :
( ? [X2] :
( iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
| sz00 = X1
| ( ~ aElementOf0(X1,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X1
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(X8))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != X8
& aElementOf0(X8,xI)
& ? [X12,X13] :
( sdtpldt0(X12,X13) = X8
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X14,X15] :
( sdtpldt0(X14,X15) != X7
| ~ aElementOf0(X15,slsdtgt0(xb))
| ~ aElementOf0(X14,slsdtgt0(xa)) ) ) )
& sz00 != sK37
& aElementOf0(sK37,xI)
& ? [X17,X16] :
( sdtpldt0(X16,X17) = sK37
& aElementOf0(X17,slsdtgt0(xb))
& aElementOf0(X16,slsdtgt0(xa)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X1] :
( ? [X2] :
( iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
=> ( iLess0(sbrdtbr0(sK38(X1)),sbrdtbr0(X1))
& sz00 != sK38(X1)
& aElementOf0(sK38(X1),xI)
& ? [X4,X3] :
( sdtpldt0(X3,X4) = sK38(X1)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X1] :
( ? [X4,X3] :
( sdtpldt0(X3,X4) = sK38(X1)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( sK38(X1) = sdtpldt0(sK39(X1),sK40(X1))
& aElementOf0(sK40(X1),slsdtgt0(xb))
& aElementOf0(sK39(X1),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ? [X8] :
( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(X8))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != X8
& aElementOf0(X8,xI)
& ? [X12,X13] :
( sdtpldt0(X12,X13) = X8
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) ) )
=> ( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(sK41))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != sK41
& aElementOf0(sK41,xI)
& ? [X13,X12] :
( sdtpldt0(X12,X13) = sK41
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X13,X12] :
( sdtpldt0(X12,X13) = sK41
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) )
=> ( sK41 = sdtpldt0(sK42,sK43)
& aElementOf0(sK43,slsdtgt0(xb))
& aElementOf0(sK42,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
( ? [X17,X16] :
( sdtpldt0(X16,X17) = sK37
& aElementOf0(X17,slsdtgt0(xb))
& aElementOf0(X16,slsdtgt0(xa)) )
=> ( sK37 = sdtpldt0(sK44,sK45)
& aElementOf0(sK45,slsdtgt0(xb))
& aElementOf0(sK44,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
| sz00 = X1
| ( ~ aElementOf0(X1,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X1
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(X8))
| sz00 = X9
| ( ~ aElementOf0(X9,xI)
& ! [X10,X11] :
( sdtpldt0(X10,X11) != X9
| ~ aElementOf0(X11,slsdtgt0(xb))
| ~ aElementOf0(X10,slsdtgt0(xa)) ) ) )
& sz00 != X8
& aElementOf0(X8,xI)
& ? [X12,X13] :
( sdtpldt0(X12,X13) = X8
& aElementOf0(X13,slsdtgt0(xb))
& aElementOf0(X12,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X0))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X14,X15] :
( sdtpldt0(X14,X15) != X7
| ~ aElementOf0(X15,slsdtgt0(xb))
| ~ aElementOf0(X14,slsdtgt0(xa)) ) ) )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X16,X17] :
( sdtpldt0(X16,X17) = X0
& aElementOf0(X17,slsdtgt0(xb))
& aElementOf0(X16,slsdtgt0(xa)) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
? [X0] :
( ! [X12] :
( ? [X13] :
( iLess0(sbrdtbr0(X13),sbrdtbr0(X12))
& sz00 != X13
& aElementOf0(X13,xI)
& ? [X14,X15] :
( sdtpldt0(X14,X15) = X13
& aElementOf0(X15,slsdtgt0(xb))
& aElementOf0(X14,slsdtgt0(xa)) ) )
| sz00 = X12
| ( ~ aElementOf0(X12,xI)
& ! [X16,X17] :
( sdtpldt0(X16,X17) != X12
| ~ aElementOf0(X17,slsdtgt0(xb))
| ~ aElementOf0(X16,slsdtgt0(xa)) ) ) )
& ! [X3] :
( ? [X6] :
( ! [X7] :
( ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X8,X9] :
( sdtpldt0(X8,X9) != X7
| ~ aElementOf0(X9,slsdtgt0(xb))
| ~ aElementOf0(X8,slsdtgt0(xa)) ) ) )
& sz00 != X6
& aElementOf0(X6,xI)
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X11,slsdtgt0(xb))
& aElementOf0(X10,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
| sz00 = X3
| ( ~ aElementOf0(X3,xI)
& ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) ) ) )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ! [X12] :
( ? [X13] :
( iLess0(sbrdtbr0(X13),sbrdtbr0(X12))
& sz00 != X13
& aElementOf0(X13,xI)
& ? [X14,X15] :
( sdtpldt0(X14,X15) = X13
& aElementOf0(X15,slsdtgt0(xb))
& aElementOf0(X14,slsdtgt0(xa)) ) )
| sz00 = X12
| ( ~ aElementOf0(X12,xI)
& ! [X16,X17] :
( sdtpldt0(X16,X17) != X12
| ~ aElementOf0(X17,slsdtgt0(xb))
| ~ aElementOf0(X16,slsdtgt0(xa)) ) ) )
& ! [X3] :
( ? [X6] :
( ! [X7] :
( ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6))
| sz00 = X7
| ( ~ aElementOf0(X7,xI)
& ! [X8,X9] :
( sdtpldt0(X8,X9) != X7
| ~ aElementOf0(X9,slsdtgt0(xb))
| ~ aElementOf0(X8,slsdtgt0(xa)) ) ) )
& sz00 != X6
& aElementOf0(X6,xI)
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X11,slsdtgt0(xb))
& aElementOf0(X10,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
| sz00 = X3
| ( ~ aElementOf0(X3,xI)
& ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) ) ) )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,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)) ) )
=> ( ! [X3] :
( ( sz00 != X3
& ( aElementOf0(X3,xI)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) ) ) )
=> ( iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
=> ? [X6] :
( ! [X7] :
( ( sz00 != X7
& ( aElementOf0(X7,xI)
| ? [X8,X9] :
( sdtpldt0(X8,X9) = X7
& aElementOf0(X9,slsdtgt0(xb))
& aElementOf0(X8,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6)) )
& sz00 != X6
& aElementOf0(X6,xI)
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X11,slsdtgt0(xb))
& aElementOf0(X10,slsdtgt0(xa)) ) ) ) )
=> ? [X12] :
( ! [X13] :
( ( sz00 != X13
& aElementOf0(X13,xI)
& ? [X14,X15] :
( sdtpldt0(X14,X15) = X13
& aElementOf0(X15,slsdtgt0(xb))
& aElementOf0(X14,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X13),sbrdtbr0(X12)) )
& sz00 != X12
& ( aElementOf0(X12,xI)
| ? [X16,X17] :
( sdtpldt0(X16,X17) = X12
& aElementOf0(X17,slsdtgt0(xb))
& aElementOf0(X16,slsdtgt0(xa)) ) ) ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
=> ( ! [X1] :
( ( sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ) )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( ! [X3] :
( ( sz00 != X3
& ( aElementOf0(X3,xI)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ) ) )
=> ? [X1] :
( ! [X2] :
( ( sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ) ) ) ),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
=> ( ! [X1] :
( ( sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ) )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( ! [X3] :
( ( sz00 != X3
& ( aElementOf0(X3,xI)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ) ) )
=> ? [X1] :
( ! [X2] :
( ( sz00 != X2
& aElementOf0(X2,xI)
& ? [X3,X4] :
( sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.U8DWSQe8F5/Vampire---4.8_7943',m__) ).
fof(f524,plain,
( ~ aElementOf0(sK38(sK41),xI)
| spl46_19 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f535,plain,
( ~ spl46_8
| spl46_7
| ~ spl46_18 ),
inference(avatar_split_clause,[],[f529,f518,f443,f449]) ).
fof(f518,plain,
( spl46_18
<=> sz00 = sK38(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_18])]) ).
fof(f529,plain,
( sz00 = sK41
| ~ aElementOf0(sK41,xI)
| ~ spl46_18 ),
inference(trivial_inequality_removal,[],[f527]) ).
fof(f527,plain,
( sz00 != sz00
| sz00 = sK41
| ~ aElementOf0(sK41,xI)
| ~ spl46_18 ),
inference(superposition,[],[f377,f520]) ).
fof(f520,plain,
( sz00 = sK38(sK41)
| ~ spl46_18 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f377,plain,
! [X1] :
( sz00 != sK38(X1)
| sz00 = X1
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[],[f196]) ).
fof(f525,plain,
( ~ spl46_8
| spl46_7
| spl46_18
| ~ spl46_19
| ~ spl46_4 ),
inference(avatar_split_clause,[],[f516,f430,f522,f518,f443,f449]) ).
fof(f430,plain,
( spl46_4
<=> ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(sK41))
| ~ aElementOf0(X9,xI)
| sz00 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_4])]) ).
fof(f516,plain,
( ~ aElementOf0(sK38(sK41),xI)
| sz00 = sK38(sK41)
| sz00 = sK41
| ~ aElementOf0(sK41,xI)
| ~ spl46_4 ),
inference(resolution,[],[f431,f379]) ).
fof(f379,plain,
! [X1] :
( iLess0(sbrdtbr0(sK38(X1)),sbrdtbr0(X1))
| sz00 = X1
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[],[f196]) ).
fof(f431,plain,
( ! [X9] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(sK41))
| ~ aElementOf0(X9,xI)
| sz00 = X9 )
| ~ spl46_4 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f514,plain,
~ spl46_15,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| ~ spl46_15 ),
inference(trivial_inequality_removal,[],[f511]) ).
fof(f511,plain,
( sz00 != sz00
| ~ spl46_15 ),
inference(superposition,[],[f353,f488]) ).
fof(f488,plain,
( sz00 = sK37
| ~ spl46_15 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl46_15
<=> sz00 = sK37 ),
introduced(avatar_definition,[new_symbols(naming,[spl46_15])]) ).
fof(f353,plain,
sz00 != sK37,
inference(cnf_transformation,[],[f196]) ).
fof(f508,plain,
spl46_14,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| spl46_14 ),
inference(resolution,[],[f484,f352]) ).
fof(f352,plain,
aElementOf0(sK37,xI),
inference(cnf_transformation,[],[f196]) ).
fof(f484,plain,
( ~ aElementOf0(sK37,xI)
| spl46_14 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl46_14
<=> aElementOf0(sK37,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_14])]) ).
fof(f506,plain,
( ~ spl46_14
| spl46_15
| spl46_13 ),
inference(avatar_split_clause,[],[f505,f478,f486,f482]) ).
fof(f478,plain,
( spl46_13
<=> aElementOf0(sK38(sK37),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_13])]) ).
fof(f505,plain,
( sz00 = sK37
| ~ aElementOf0(sK37,xI)
| spl46_13 ),
inference(resolution,[],[f480,f375]) ).
fof(f480,plain,
( ~ aElementOf0(sK38(sK37),xI)
| spl46_13 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f499,plain,
( ~ spl46_14
| spl46_15
| ~ spl46_12 ),
inference(avatar_split_clause,[],[f493,f474,f486,f482]) ).
fof(f474,plain,
( spl46_12
<=> sz00 = sK38(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_12])]) ).
fof(f493,plain,
( sz00 = sK37
| ~ aElementOf0(sK37,xI)
| ~ spl46_12 ),
inference(trivial_inequality_removal,[],[f491]) ).
fof(f491,plain,
( sz00 != sz00
| sz00 = sK37
| ~ aElementOf0(sK37,xI)
| ~ spl46_12 ),
inference(superposition,[],[f377,f476]) ).
fof(f476,plain,
( sz00 = sK38(sK37)
| ~ spl46_12 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f489,plain,
( spl46_12
| ~ spl46_13
| ~ spl46_14
| spl46_15
| ~ spl46_3 ),
inference(avatar_split_clause,[],[f472,f427,f486,f482,f478,f474]) ).
fof(f427,plain,
( spl46_3
<=> ! [X7] :
( ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| ~ aElementOf0(X7,xI)
| sz00 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl46_3])]) ).
fof(f472,plain,
( sz00 = sK37
| ~ aElementOf0(sK37,xI)
| ~ aElementOf0(sK38(sK37),xI)
| sz00 = sK38(sK37)
| ~ spl46_3 ),
inference(resolution,[],[f379,f428]) ).
fof(f428,plain,
( ! [X7] :
( ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| ~ aElementOf0(X7,xI)
| sz00 = X7 )
| ~ spl46_3 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f452,plain,
( spl46_3
| spl46_8 ),
inference(avatar_split_clause,[],[f361,f449,f427]) ).
fof(f361,plain,
! [X7] :
( aElementOf0(sK41,xI)
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| sz00 = X7
| ~ aElementOf0(X7,xI) ),
inference(cnf_transformation,[],[f196]) ).
fof(f446,plain,
( spl46_3
| ~ spl46_7 ),
inference(avatar_split_clause,[],[f363,f443,f427]) ).
fof(f363,plain,
! [X7] :
( sz00 != sK41
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| sz00 = X7
| ~ aElementOf0(X7,xI) ),
inference(cnf_transformation,[],[f196]) ).
fof(f432,plain,
( spl46_3
| spl46_4 ),
inference(avatar_split_clause,[],[f367,f430,f427]) ).
fof(f367,plain,
! [X9,X7] :
( ~ iLess0(sbrdtbr0(X9),sbrdtbr0(sK41))
| sz00 = X9
| ~ aElementOf0(X9,xI)
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(sK37))
| sz00 = X7
| ~ aElementOf0(X7,xI) ),
inference(cnf_transformation,[],[f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:16:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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.U8DWSQe8F5/Vampire---4.8_7943
% 0.53/0.75 % (8315)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)
% 0.53/0.75 % (8308)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)
% 0.53/0.75 % (8310)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75 % (8311)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)
% 0.53/0.75 % (8309)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)
% 0.53/0.75 % (8312)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)
% 0.53/0.75 % (8313)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)
% 0.53/0.75 % (8314)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)
% 0.53/0.76 % (8309)First to succeed.
% 0.53/0.76 % (8308)Also succeeded, but the first one will report.
% 0.53/0.76 % (8309)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8215"
% 0.53/0.76 % (8309)Refutation found. Thanks to Tanya!
% 0.53/0.76 % SZS status Theorem for Vampire---4
% 0.53/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.76 % (8309)------------------------------
% 0.53/0.76 % (8309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76 % (8309)Termination reason: Refutation
% 0.53/0.76
% 0.53/0.76 % (8309)Memory used [KB]: 1373
% 0.53/0.76 % (8309)Time elapsed: 0.012 s
% 0.53/0.76 % (8309)Instructions burned: 19 (million)
% 0.53/0.76 % (8215)Success in time 0.378 s
% 0.53/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------