TSTP Solution File: RNG081+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG081+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 08:54:06 EDT 2024
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 140 ( 13 unt; 0 def)
% Number of atoms : 718 ( 200 equ)
% Maximal formula atoms : 34 ( 5 avg)
% Number of connectives : 795 ( 217 ~; 213 |; 331 &)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-8 aty)
% Number of variables : 366 ( 251 !; 115 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f793,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f391,f424,f454,f466,f480,f505,f531,f792]) ).
fof(f792,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| ~ spl20_2 ),
inference(resolution,[],[f790,f225]) ).
fof(f225,plain,
( sP3(sK15,sK16,sK17)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl20_2
<=> sP3(sK15,sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f790,plain,
! [X2,X0,X1] : ~ sP3(X0,X1,X2),
inference(resolution,[],[f789,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sP2(X2,sK4(X0,X1,X2),sK6(X0,X1,X2),sK5(X0,X1,X2),X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sP2(X2,sK4(X0,X1,X2),sK6(X0,X1,X2),sK5(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = sK6(X0,X1,X2)
& aScalar0(sK6(X0,X1,X2))
& sdtasasdt0(X0,X0) = sK5(X0,X1,X2)
& aScalar0(sK5(X0,X1,X2))
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4(X0,X1,X2)
& aScalar0(sK4(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f102,f105,f104,f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sP2(X2,X3,X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
=> ( ? [X4] :
( ? [X5] :
( sP2(X2,sK4(X0,X1,X2),X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4(X0,X1,X2)
& aScalar0(sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ? [X4] :
( ? [X5] :
( sP2(X2,sK4(X0,X1,X2),X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
=> ( ? [X5] :
( sP2(X2,sK4(X0,X1,X2),X5,sK5(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = sK5(X0,X1,X2)
& aScalar0(sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ? [X5] :
( sP2(X2,sK4(X0,X1,X2),X5,sK5(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
=> ( sP2(X2,sK4(X0,X1,X2),sK6(X0,X1,X2),sK5(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = sK6(X0,X1,X2)
& aScalar0(sK6(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sP2(X2,X3,X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
| ~ sP3(X0,X1,X2) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sP2(X2,X3,X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
| ~ sP3(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f789,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f788,f152]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,sK8(X0,X1,X2,X3,X4,X5),X2,sK9(X0,X1,X2,X3,X4,X5),X1,X0)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,sK8(X0,X1,X2,X3,X4,X5),X2,sK9(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasdt0(X1,X1) = sK9(X0,X1,X2,X3,X4,X5)
& aScalar0(sK9(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X0,X0) = sK8(X0,X1,X2,X3,X4,X5)
& aScalar0(sK8(X0,X1,X2,X3,X4,X5))
& sdtasasdt0(X5,X4) = sK7(X0,X1,X2,X3,X4,X5)
& aScalar0(sK7(X0,X1,X2,X3,X4,X5)) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f108,f111,f110,f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( sP1(X6,X3,X7,X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = X7
& aScalar0(X7) )
& sdtasasdt0(X5,X4) = X6
& aScalar0(X6) )
=> ( ? [X7] :
( ? [X8] :
( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,X7,X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = X7
& aScalar0(X7) )
& sdtasasdt0(X5,X4) = sK7(X0,X1,X2,X3,X4,X5)
& aScalar0(sK7(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X7] :
( ? [X8] :
( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,X7,X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = X7
& aScalar0(X7) )
=> ( ? [X8] :
( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,sK8(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = sK8(X0,X1,X2,X3,X4,X5)
& aScalar0(sK8(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,sK8(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
=> ( sP1(sK7(X0,X1,X2,X3,X4,X5),X3,sK8(X0,X1,X2,X3,X4,X5),X2,sK9(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasdt0(X1,X1) = sK9(X0,X1,X2,X3,X4,X5)
& aScalar0(sK9(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( sP1(X6,X3,X7,X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = X7
& aScalar0(X7) )
& sdtasasdt0(X5,X4) = X6
& aScalar0(X6) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X2,X3,X5,X4,X1,X0] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( sP1(X6,X4,X7,X5,X8,X3,X2)
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
| ~ sP2(X2,X3,X5,X4,X1,X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X2,X3,X5,X4,X1,X0] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( sP1(X6,X4,X7,X5,X8,X3,X2)
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
| ~ sP2(X2,X3,X5,X4,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f788,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5,X6),
inference(resolution,[],[f358,f159]) ).
fof(f159,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,sK11(X0,X1,X2,X3,X4,X5,X6),sK12(X0,X1,X2,X3,X4,X5,X6))
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,sK11(X0,X1,X2,X3,X4,X5,X6),sK12(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = sK12(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X1,X4) = sK11(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X6,X5) = sK10(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK10(X0,X1,X2,X3,X4,X5,X6)) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f114,f117,f116,f115]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( sP0(X4,X3,X2,X1,X7,X0,X8,X9)
& sdtasdt0(X0,X7) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
& sdtasdt0(X6,X5) = X7
& aScalar0(X7) )
=> ( ? [X8] :
( ? [X9] :
( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
& sdtasdt0(X6,X5) = sK10(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK10(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X8] :
( ? [X9] :
( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
=> ( ? [X9] :
( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,sK11(X0,X1,X2,X3,X4,X5,X6),X9)
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = sK11(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,sK11(X0,X1,X2,X3,X4,X5,X6),X9)
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
=> ( sP0(X4,X3,X2,X1,sK10(X0,X1,X2,X3,X4,X5,X6),X0,sK11(X0,X1,X2,X3,X4,X5,X6),sK12(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X0,sK10(X0,X1,X2,X3,X4,X5,X6)) = sK12(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( sP0(X4,X3,X2,X1,X7,X0,X8,X9)
& sdtasdt0(X0,X7) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
& sdtasdt0(X6,X5) = X7
& aScalar0(X7) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X6,X4,X7,X5,X8,X3,X2] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( sP0(X8,X5,X7,X4,X9,X6,X10,X11)
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
| ~ sP1(X6,X4,X7,X5,X8,X3,X2) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X6,X4,X7,X5,X8,X3,X2] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( sP0(X8,X5,X7,X4,X9,X6,X10,X11)
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
| ~ sP1(X6,X4,X7,X5,X8,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7),
inference(resolution,[],[f175,f167]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)) = sK14(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtasdt0(X2,X1) = sK13(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6,X7)) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f120,f122,f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,X8))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,X8) = X9
& aScalar0(X9) )
& sdtasdt0(X2,X1) = X8
& aScalar0(X8) )
=> ( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
& aScalar0(X9) )
& sdtasdt0(X2,X1) = sK13(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
& aScalar0(X9) )
=> ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK13(X0,X1,X2,X3,X4,X5,X6,X7)) = sK14(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,X8))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,X8) = X9
& aScalar0(X9) )
& sdtasdt0(X2,X1) = X8
& aScalar0(X8) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X8,X5,X7,X4,X9,X6,X10,X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
| ~ sP0(X8,X5,X7,X4,X9,X6,X10,X11) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X8,X5,X7,X4,X9,X6,X10,X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
| ~ sP0(X8,X5,X7,X4,X9,X6,X10,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f175,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ( sP3(sK15,sK16,sK17)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK17
& aScalar0(sK17)
& sziznziztdt0(xt) = sK16
& aVector0(sK16)
& sziznziztdt0(xs) = sK15
& aVector0(sK15) )
| sz00 = aDimensionOf0(xs) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f101,f126,f125,f124]) ).
fof(f124,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& aVector0(X0) )
=> ( ? [X1] :
( ? [X2] :
( sP3(sK15,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = sK15
& aVector0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X1] :
( ? [X2] :
( sP3(sK15,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
=> ( ? [X2] :
( sP3(sK15,sK16,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = sK16
& aVector0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X2] :
( sP3(sK15,sK16,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
=> ( sP3(sK15,sK16,sK17)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK17
& aScalar0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(definition_folding,[],[f50,f100,f99,f98,f97]) ).
fof(f50,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',m__) ).
fof(f531,plain,
( ~ spl20_1
| spl20_17 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| ~ spl20_1
| spl20_17 ),
inference(subsumption_resolution,[],[f525,f214]) ).
fof(f214,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mSZeroSc) ).
fof(f525,plain,
( ~ aScalar0(sz0z00)
| ~ spl20_1
| spl20_17 ),
inference(resolution,[],[f522,f180]) ).
fof(f180,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mLERef) ).
fof(f522,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl20_1
| spl20_17 ),
inference(subsumption_resolution,[],[f521,f221]) ).
fof(f221,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl20_1
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f521,plain,
( sz00 != aDimensionOf0(xs)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| spl20_17 ),
inference(forward_demodulation,[],[f520,f138]) ).
fof(f138,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',m__1678_01) ).
fof(f520,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| sz00 != aDimensionOf0(xt)
| spl20_17 ),
inference(subsumption_resolution,[],[f519,f135]) ).
fof(f135,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',m__1678) ).
fof(f519,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xs)
| spl20_17 ),
inference(subsumption_resolution,[],[f518,f136]) ).
fof(f136,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f518,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_17 ),
inference(subsumption_resolution,[],[f513,f138]) ).
fof(f513,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| sz00 != aDimensionOf0(xt)
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_17 ),
inference(superposition,[],[f386,f184]) ).
fof(f184,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mDefSPZ) ).
fof(f386,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| spl20_17 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl20_17
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f505,plain,
( ~ spl20_1
| spl20_16 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl20_1
| spl20_16 ),
inference(subsumption_resolution,[],[f500,f135]) ).
fof(f500,plain,
( ~ aVector0(xs)
| ~ spl20_1
| spl20_16 ),
inference(resolution,[],[f499,f183]) ).
fof(f183,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mScSqPos) ).
fof(f499,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ spl20_1
| spl20_16 ),
inference(subsumption_resolution,[],[f498,f221]) ).
fof(f498,plain,
( sz00 != aDimensionOf0(xs)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| spl20_16 ),
inference(forward_demodulation,[],[f497,f138]) ).
fof(f497,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 != aDimensionOf0(xt)
| spl20_16 ),
inference(subsumption_resolution,[],[f496,f135]) ).
fof(f496,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xs)
| spl20_16 ),
inference(subsumption_resolution,[],[f495,f136]) ).
fof(f495,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_16 ),
inference(subsumption_resolution,[],[f490,f138]) ).
fof(f490,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 != aDimensionOf0(xt)
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_16 ),
inference(superposition,[],[f382,f184]) ).
fof(f382,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| spl20_16 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl20_16
<=> sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f480,plain,
( ~ spl20_1
| spl20_18 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl20_1
| spl20_18 ),
inference(subsumption_resolution,[],[f472,f136]) ).
fof(f472,plain,
( ~ aVector0(xt)
| ~ spl20_1
| spl20_18 ),
inference(resolution,[],[f444,f183]) ).
fof(f444,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ spl20_1
| spl20_18 ),
inference(subsumption_resolution,[],[f443,f221]) ).
fof(f443,plain,
( sz00 != aDimensionOf0(xs)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| spl20_18 ),
inference(forward_demodulation,[],[f442,f138]) ).
fof(f442,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| sz00 != aDimensionOf0(xt)
| spl20_18 ),
inference(subsumption_resolution,[],[f441,f135]) ).
fof(f441,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xs)
| spl20_18 ),
inference(subsumption_resolution,[],[f440,f136]) ).
fof(f440,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_18 ),
inference(subsumption_resolution,[],[f427,f138]) ).
fof(f427,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| sz00 != aDimensionOf0(xt)
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(xs)
| spl20_18 ),
inference(superposition,[],[f390,f184]) ).
fof(f390,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| spl20_18 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl20_18
<=> sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f466,plain,
( ~ spl20_1
| spl20_15 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| ~ spl20_1
| spl20_15 ),
inference(subsumption_resolution,[],[f462,f221]) ).
fof(f462,plain,
( sz00 != aDimensionOf0(xs)
| ~ spl20_1
| spl20_15 ),
inference(superposition,[],[f461,f138]) ).
fof(f461,plain,
( sz00 != aDimensionOf0(xt)
| ~ spl20_1
| spl20_15 ),
inference(subsumption_resolution,[],[f456,f136]) ).
fof(f456,plain,
( sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ spl20_1
| spl20_15 ),
inference(resolution,[],[f378,f330]) ).
fof(f330,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(xt,X0))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| ~ spl20_1 ),
inference(forward_demodulation,[],[f329,f221]) ).
fof(f329,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f320,f136]) ).
fof(f320,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f185,f138]) ).
fof(f185,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mScPr) ).
fof(f378,plain,
( ~ aScalar0(sdtasasdt0(xt,xt))
| spl20_15 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl20_15
<=> aScalar0(sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f454,plain,
( ~ spl20_1
| spl20_14 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl20_1
| spl20_14 ),
inference(subsumption_resolution,[],[f452,f135]) ).
fof(f452,plain,
( ~ aVector0(xs)
| ~ spl20_1
| spl20_14 ),
inference(subsumption_resolution,[],[f449,f221]) ).
fof(f449,plain,
( sz00 != aDimensionOf0(xs)
| ~ aVector0(xs)
| ~ spl20_1
| spl20_14 ),
inference(resolution,[],[f374,f332]) ).
fof(f332,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,xt))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| ~ spl20_1 ),
inference(forward_demodulation,[],[f331,f221]) ).
fof(f331,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f321,f136]) ).
fof(f321,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f185,f138]) ).
fof(f374,plain,
( ~ aScalar0(sdtasasdt0(xs,xt))
| spl20_14 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl20_14
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f424,plain,
( ~ spl20_1
| spl20_13 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl20_1
| spl20_13 ),
inference(subsumption_resolution,[],[f422,f135]) ).
fof(f422,plain,
( ~ aVector0(xs)
| ~ spl20_1
| spl20_13 ),
inference(subsumption_resolution,[],[f418,f221]) ).
fof(f418,plain,
( sz00 != aDimensionOf0(xs)
| ~ aVector0(xs)
| ~ spl20_1
| spl20_13 ),
inference(resolution,[],[f370,f304]) ).
fof(f304,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,xs))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| ~ spl20_1 ),
inference(subsumption_resolution,[],[f299,f135]) ).
fof(f299,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl20_1 ),
inference(superposition,[],[f185,f221]) ).
fof(f370,plain,
( ~ aScalar0(sdtasasdt0(xs,xs))
| spl20_13 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl20_13
<=> aScalar0(sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f391,plain,
( ~ spl20_13
| ~ spl20_14
| ~ spl20_15
| ~ spl20_16
| ~ spl20_17
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f366,f388,f384,f380,f376,f372,f368]) ).
fof(f366,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xs,xt))
| ~ aScalar0(sdtasasdt0(xs,xs)) ),
inference(duplicate_literal_removal,[],[f359]) ).
fof(f359,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xs,xt))
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasasdt0(xs,xt)) ),
inference(resolution,[],[f175,f213]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433',mLEMonM) ).
fof(f226,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f174,f223,f219]) ).
fof(f174,plain,
( sP3(sK15,sK16,sK17)
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG081+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:16:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Rm5rlSO0Nj/Vampire---4.8_3433
% 0.62/0.81 % (3811)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 (2995ds/56Mi)
% 0.62/0.81 % (3804)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 (2995ds/34Mi)
% 0.62/0.81 % (3807)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81 % (3805)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 (2995ds/51Mi)
% 0.62/0.81 % (3806)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (3808)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 (2995ds/34Mi)
% 0.62/0.81 % (3809)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81 % (3810)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 (2995ds/83Mi)
% 0.62/0.81 % (3811)Refutation not found, incomplete strategy% (3811)------------------------------
% 0.62/0.81 % (3811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (3811)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (3811)Memory used [KB]: 1178
% 0.62/0.81 % (3811)Time elapsed: 0.004 s
% 0.62/0.81 % (3811)Instructions burned: 9 (million)
% 0.62/0.81 % (3811)------------------------------
% 0.62/0.81 % (3811)------------------------------
% 0.62/0.82 % (3812)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.82 % (3809)First to succeed.
% 0.62/0.83 % (3804)Instruction limit reached!
% 0.62/0.83 % (3804)------------------------------
% 0.62/0.83 % (3804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (3804)Termination reason: Unknown
% 0.62/0.83 % (3804)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (3804)Memory used [KB]: 1441
% 0.62/0.83 % (3804)Time elapsed: 0.020 s
% 0.62/0.83 % (3804)Instructions burned: 35 (million)
% 0.62/0.83 % (3807)Instruction limit reached!
% 0.62/0.83 % (3807)------------------------------
% 0.62/0.83 % (3807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (3807)Termination reason: Unknown
% 0.62/0.83 % (3807)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (3807)Memory used [KB]: 1619
% 0.62/0.83 % (3807)Time elapsed: 0.020 s
% 0.62/0.83 % (3807)Instructions burned: 34 (million)
% 0.62/0.83 % (3807)------------------------------
% 0.62/0.83 % (3807)------------------------------
% 0.62/0.83 % (3804)------------------------------
% 0.62/0.83 % (3804)------------------------------
% 0.62/0.83 % (3809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3698"
% 0.62/0.83 % (3809)Refutation found. Thanks to Tanya!
% 0.62/0.83 % SZS status Theorem for Vampire---4
% 0.62/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83 % (3809)------------------------------
% 0.62/0.83 % (3809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (3809)Termination reason: Refutation
% 0.62/0.83
% 0.62/0.83 % (3809)Memory used [KB]: 1291
% 0.62/0.83 % (3809)Time elapsed: 0.020 s
% 0.62/0.83 % (3809)Instructions burned: 32 (million)
% 0.62/0.83 % (3698)Success in time 0.48 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------