TSTP Solution File: RNG081+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG081+2 : 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_sat --cores 0 -t %d %s
% Computer : n007.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 18:15:43 EDT 2022
% Result : Theorem 3.60s 0.90s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 117 ( 13 unt; 0 def)
% Number of atoms : 713 ( 275 equ)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 743 ( 147 ~; 139 |; 419 &)
% ( 4 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-8 aty)
% Number of functors : 26 ( 26 usr; 5 con; 0-8 aty)
% Number of variables : 407 ( 274 !; 133 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2349,plain,
$false,
inference(avatar_sat_refutation,[],[f292,f305,f319,f1944,f2347]) ).
fof(f2347,plain,
( ~ spl23_2
| ~ spl23_5 ),
inference(avatar_contradiction_clause,[],[f2346]) ).
fof(f2346,plain,
( $false
| ~ spl23_2
| ~ spl23_5 ),
inference(subsumption_resolution,[],[f2342,f1348]) ).
fof(f1348,plain,
( ! [X2,X3,X0,X1,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5)
| ~ spl23_5 ),
inference(resolution,[],[f1302,f209]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP1(sK11(X0,X1,X2,X3,X4,X5),X5,sK13(X0,X1,X2,X3,X4,X5),sK12(X0,X1,X2,X3,X4,X5),X4,X3,X2)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sK11(X0,X1,X2,X3,X4,X5) = sdtasasdt0(X1,X0)
& sdtasdt0(X2,X2) = sK12(X0,X1,X2,X3,X4,X5)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5))
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,sK13(X0,X1,X2,X3,X4,X5),sK12(X0,X1,X2,X3,X4,X5),X4,X3,X2)
& sdtasdt0(X3,X3) = sK13(X0,X1,X2,X3,X4,X5)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5))
& aScalar0(sK11(X0,X1,X2,X3,X4,X5)) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f146,f149,f148,f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sdtasasdt0(X1,X0) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(X6,X5,X8,X7,X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
=> ( sK11(X0,X1,X2,X3,X4,X5) = sdtasasdt0(X1,X0)
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,X8,X7,X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(sK11(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,X8,X7,X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
=> ( sdtasdt0(X2,X2) = sK12(X0,X1,X2,X3,X4,X5)
& ? [X8] :
( aScalar0(X8)
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,X8,sK12(X0,X1,X2,X3,X4,X5),X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(sK12(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( aScalar0(X8)
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,X8,sK12(X0,X1,X2,X3,X4,X5),X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
=> ( aScalar0(sK13(X0,X1,X2,X3,X4,X5))
& sP1(sK11(X0,X1,X2,X3,X4,X5),X5,sK13(X0,X1,X2,X3,X4,X5),sK12(X0,X1,X2,X3,X4,X5),X4,X3,X2)
& sdtasdt0(X3,X3) = sK13(X0,X1,X2,X3,X4,X5) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sdtasasdt0(X1,X0) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(X6,X5,X8,X7,X4,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X1,X0,X2,X3,X5,X4] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(X6,X4,X8,X7,X5,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
| ~ sP2(X1,X0,X2,X3,X5,X4) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X2,X3,X5,X4] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sP1(X6,X4,X8,X7,X5,X3,X2)
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
| ~ sP2(X1,X0,X2,X3,X5,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1302,plain,
( ! [X50,X51,X49,X54,X55,X52,X53] : ~ sP1(X49,X50,X51,X52,X53,X54,X55)
| ~ spl23_5 ),
inference(resolution,[],[f216,f304]) ).
fof(f304,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl23_5
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X4,X3,sK15(X0,X1,X2,X3,X4,X5,X6),sK16(X0,X1,X2,X3,X4,X5,X6),X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
& aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
& aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6))
& sP0(X4,X3,sK15(X0,X1,X2,X3,X4,X5,X6),sK16(X0,X1,X2,X3,X4,X5,X6),X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sK16(X0,X1,X2,X3,X4,X5,X6) = sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X1,X2) = sK15(X0,X1,X2,X3,X4,X5,X6)
& sdtasdt0(X6,X5) = sK14(X0,X1,X2,X3,X4,X5,X6) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f152,f155,f154,f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( aScalar0(X7)
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,X8,X9,X2,X1,X7,X0)
& sdtasdt0(X0,X7) = X9 )
& sdtasdt0(X1,X2) = X8 )
& sdtasdt0(X6,X5) = X7 )
=> ( aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,X8,X9,X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6)) = X9 )
& sdtasdt0(X1,X2) = X8 )
& sdtasdt0(X6,X5) = sK14(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,X8,X9,X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6)) = X9 )
& sdtasdt0(X1,X2) = X8 )
=> ( aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
& ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,sK15(X0,X1,X2,X3,X4,X5,X6),X9,X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6)) = X9 )
& sdtasdt0(X1,X2) = sK15(X0,X1,X2,X3,X4,X5,X6) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,sK15(X0,X1,X2,X3,X4,X5,X6),X9,X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6)) = X9 )
=> ( aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6))
& sP0(X4,X3,sK15(X0,X1,X2,X3,X4,X5,X6),sK16(X0,X1,X2,X3,X4,X5,X6),X2,X1,sK14(X0,X1,X2,X3,X4,X5,X6),X0)
& sK16(X0,X1,X2,X3,X4,X5,X6) = sdtasdt0(X0,sK14(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( aScalar0(X7)
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sP0(X4,X3,X8,X9,X2,X1,X7,X0)
& sdtasdt0(X0,X7) = X9 )
& sdtasdt0(X1,X2) = X8 )
& sdtasdt0(X6,X5) = X7 )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X6,X4,X8,X7,X5,X3,X2] :
( ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& sP0(X5,X7,X10,X11,X8,X4,X9,X6)
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
| ~ sP1(X6,X4,X8,X7,X5,X3,X2) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X6,X4,X8,X7,X5,X3,X2] :
( ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& sP0(X5,X7,X10,X11,X8,X4,X9,X6)
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
| ~ sP1(X6,X4,X8,X7,X5,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2342,plain,
( sP2(sziznziztdt0(xt),sK19,sK7(sK19),sK8(sK7(sK19),sK19,sziznziztdt0(xt)),sK10(sK7(sK19),sK19,sziznziztdt0(xt)),sK9(sK7(sK19),sK19,sziznziztdt0(xt)))
| ~ spl23_2 ),
inference(resolution,[],[f1997,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP2(X2,X1,X0,sK8(X0,X1,X2),sK10(X0,X1,X2),sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK8(X0,X1,X2)
& sP2(X2,X1,X0,sK8(X0,X1,X2),sK10(X0,X1,X2),sK9(X0,X1,X2))
& sdtasasdt0(X2,X2) = sK10(X0,X1,X2)
& aScalar0(sK10(X0,X1,X2))
& aScalar0(sK9(X0,X1,X2))
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
& aScalar0(sK8(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f140,f143,f142,f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( sP2(X2,X1,X0,X3,X5,X4)
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X1,X1) = X4 )
& aScalar0(X3) )
=> ( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK8(X0,X1,X2)
& ? [X4] :
( ? [X5] :
( sP2(X2,X1,X0,sK8(X0,X1,X2),X5,X4)
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X1,X1) = X4 )
& aScalar0(sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ? [X4] :
( ? [X5] :
( sP2(X2,X1,X0,sK8(X0,X1,X2),X5,X4)
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X1,X1) = X4 )
=> ( ? [X5] :
( sP2(X2,X1,X0,sK8(X0,X1,X2),X5,sK9(X0,X1,X2))
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
& aScalar0(sK9(X0,X1,X2))
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ? [X5] :
( sP2(X2,X1,X0,sK8(X0,X1,X2),X5,sK9(X0,X1,X2))
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
=> ( sP2(X2,X1,X0,sK8(X0,X1,X2),sK10(X0,X1,X2),sK9(X0,X1,X2))
& sdtasasdt0(X2,X2) = sK10(X0,X1,X2)
& aScalar0(sK10(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( sP2(X2,X1,X0,X3,X5,X4)
& sdtasasdt0(X2,X2) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X1,X1) = X4 )
& aScalar0(X3) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( sP2(X1,X0,X2,X3,X5,X4)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
| ~ sP3(X2,X0,X1) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( sP2(X1,X0,X2,X3,X5,X4)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
| ~ sP3(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1997,plain,
( sP3(sK7(sK19),sK19,sziznziztdt0(xt))
| ~ spl23_2 ),
inference(backward_demodulation,[],[f1995,f1992]) ).
fof(f1992,plain,
( sziznziztdt0(xt) = sK6(sK19)
| ~ spl23_2 ),
inference(resolution,[],[f291,f192]) ).
fof(f192,plain,
! [X0] :
( ~ sP4(X0)
| sziznziztdt0(xt) = sK6(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( aScalar0(sK7(X0))
& sP3(sK7(X0),X0,sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK7(X0)
& ! [X3] :
( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK6(X0),X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK6(X0)))
& aVector0(sK6(X0))
& sziznziztdt0(xt) = sK6(X0) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f135,f137,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,X1)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
=> ( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X3] :
( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK6(X0),X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK6(X0)))
& aVector0(sK6(X0))
& sziznziztdt0(xt) = sK6(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] :
( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
=> ( aScalar0(sK7(X0))
& sP3(sK7(X0),X0,sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK7(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,X1)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
| ~ sP4(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,X1)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( aScalar0(X2)
& sP3(X2,X0,X1)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f291,plain,
( sP4(sK19)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl23_2
<=> sP4(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f1995,plain,
( sP3(sK7(sK19),sK19,sK6(sK19))
| ~ spl23_2 ),
inference(resolution,[],[f291,f197]) ).
fof(f197,plain,
! [X0] :
( ~ sP4(X0)
| sP3(sK7(X0),X0,sK6(X0)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f1944,plain,
( ~ spl23_1
| spl23_4 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1943,plain,
( $false
| ~ spl23_1
| spl23_4 ),
inference(subsumption_resolution,[],[f1942,f354]) ).
fof(f354,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(resolution,[],[f252,f248]) ).
fof(f248,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f252,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f1942,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl23_1
| spl23_4 ),
inference(forward_demodulation,[],[f1938,f371]) ).
fof(f371,plain,
sz0z00 = sdtasdt0(sz0z00,sz0z00),
inference(resolution,[],[f269,f248]) ).
fof(f269,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = smndt0(sz0z00)
& sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0)) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = smndt0(sz0z00)
& sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f1938,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)
| ~ spl23_1
| spl23_4 ),
inference(backward_demodulation,[],[f1747,f1910]) ).
fof(f1910,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f1809,f244]) ).
fof(f244,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f1809,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| ~ spl23_1 ),
inference(trivial_inequality_removal,[],[f1807]) ).
fof(f1807,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| ~ spl23_1 ),
inference(superposition,[],[f858,f287]) ).
fof(f287,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl23_1
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f858,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X1,xt) )
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f855,f243]) ).
fof(f243,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f855,plain,
( ! [X1] :
( ~ aVector0(xt)
| sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X1,xt)
| ~ aVector0(X1) )
| ~ spl23_1 ),
inference(trivial_inequality_removal,[],[f854]) ).
fof(f854,plain,
( ! [X1] :
( sz00 != sz00
| sz00 != aDimensionOf0(X1)
| ~ aVector0(xt)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X1,xt) )
| ~ spl23_1 ),
inference(superposition,[],[f245,f515]) ).
fof(f515,plain,
( sz00 = aDimensionOf0(xt)
| ~ spl23_1 ),
inference(backward_demodulation,[],[f190,f287]) ).
fof(f190,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f245,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X1,X0)
| ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X1,X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ~ aVector0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& sz00 = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f1747,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sz0z00)
| ~ spl23_1
| spl23_4 ),
inference(forward_demodulation,[],[f1650,f744]) ).
fof(f744,plain,
sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(xt,xt)),
inference(resolution,[],[f714,f269]) ).
fof(f714,plain,
aScalar0(sdtasasdt0(xt,xt)),
inference(resolution,[],[f655,f243]) ).
fof(f655,plain,
! [X0] :
( ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,X0)) ),
inference(duplicate_literal_removal,[],[f654]) ).
fof(f654,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X1,X0))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X1,X0))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X1,X0))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X1,X0)) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f1650,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))
| ~ spl23_1
| spl23_4 ),
inference(backward_demodulation,[],[f300,f1649]) ).
fof(f1649,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f1648,f244]) ).
fof(f1648,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| ~ spl23_1 ),
inference(trivial_inequality_removal,[],[f1645]) ).
fof(f1645,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| sz00 != sz00
| ~ aVector0(xs)
| ~ spl23_1 ),
inference(superposition,[],[f857,f287]) ).
fof(f857,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,xs) )
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f856,f244]) ).
fof(f856,plain,
( ! [X0] :
( ~ aVector0(xs)
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0) )
| ~ spl23_1 ),
inference(trivial_inequality_removal,[],[f853]) ).
fof(f853,plain,
( ! [X0] :
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(X0,xs)
| sz00 != sz00
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| ~ spl23_1 ),
inference(superposition,[],[f245,f287]) ).
fof(f300,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl23_4 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl23_4
<=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f319,plain,
~ spl23_4,
inference(avatar_split_clause,[],[f233,f299]) ).
fof(f233,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK19,X1) )
& sziznziztdt0(xs) = sK19
& sP4(sK19)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK19))
& aVector0(sK19) )
| sz00 = aDimensionOf0(xs) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f162,f163]) ).
fof(f163,plain,
( ? [X0] :
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& sziznziztdt0(xs) = X0
& sP4(X0)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
=> ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK19,X1) )
& sziznziztdt0(xs) = sK19
& sP4(sK19)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK19))
& aVector0(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& sziznziztdt0(xs) = X0
& sP4(X0)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ! [X15] :
( ~ aNaturalNumber0(X15)
| sdtlbdtrb0(xs,X15) = sdtlbdtrb0(X0,X15) )
& sziznziztdt0(xs) = X0
& sP4(X0)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(definition_folding,[],[f101,f126,f125,f124,f123,f122]) ).
fof(f122,plain,
! [X5,X7,X10,X11,X8,X4,X9,X6] :
( ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
| ~ sP0(X5,X7,X10,X11,X8,X4,X9,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f101,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ! [X15] :
( ~ aNaturalNumber0(X15)
| sdtlbdtrb0(xs,X15) = sdtlbdtrb0(X0,X15) )
& sziznziztdt0(xs) = X0
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( sziznziztdt0(xs) = X0
& aVector0(X0)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& ? [X1] :
( ! [X14] :
( aNaturalNumber0(X14)
=> sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& sziznziztdt0(xt) = X1
& aVector0(X1) )
& ! [X15] :
( aNaturalNumber0(X15)
=> sdtlbdtrb0(xs,X15) = sdtlbdtrb0(X0,X15) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( aVector0(X0)
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& sziznziztdt0(xt) = X1
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt) )
& sziznziztdt0(xs) = X0
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) ) ) )
=> 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] :
( aVector0(X0)
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( ? [X5] :
( ? [X6] :
( sdtasasdt0(X0,X1) = X6
& ? [X7] :
( sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& ? [X10] :
( aScalar0(X10)
& ? [X11] :
( aScalar0(X11)
& ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
& sdtasdt0(X6,X9) = X11 )
& sdtasdt0(X4,X8) = X10 )
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 )
& aScalar0(X7) )
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& aScalar0(X4)
& sdtasasdt0(X0,X0) = X4 )
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& sziznziztdt0(xt) = X1
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt) )
& sziznziztdt0(xs) = X0
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f305,plain,
( spl23_4
| spl23_5 ),
inference(avatar_split_clause,[],[f220,f303,f299]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( sdtasdt0(X1,X0) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& aScalar0(sK18(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sK18(X0,X1,X2,X3,X4,X5,X6,X7) = sdtasdt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& 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(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f158,f160,f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( sdtasdt0(X1,X0) = X8
& aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,X8))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sdtasdt0(X2,X8) = X9
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
=> ( sdtasdt0(X1,X0) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& ? [X9] :
( aScalar0(X9)
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sdtasdt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X9] :
( aScalar0(X9)
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sdtasdt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )
=> ( aScalar0(sK18(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sK18(X0,X1,X2,X3,X4,X5,X6,X7) = sdtasdt0(X2,sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( sdtasdt0(X1,X0) = X8
& aScalar0(X8)
& ? [X9] :
( aScalar0(X9)
& sdtlseqdt0(sdtpldt0(X3,X3),sdtpldt0(X2,X8))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X6),sdtpldt0(X7,X6)),sdtasdt0(sdtpldt0(X5,X1),sdtpldt0(X0,X4)))
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X0))
& sdtasdt0(X2,X8) = X9
& 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(rectify,[],[f157]) ).
fof(f157,plain,
! [X5,X7,X10,X11,X8,X4,X9,X6] :
( ? [X12] :
( sdtasdt0(X7,X5) = X12
& aScalar0(X12)
& ? [X13] :
( aScalar0(X13)
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
| ~ sP0(X5,X7,X10,X11,X8,X4,X9,X6) ),
inference(nnf_transformation,[],[f122]) ).
fof(f292,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f230,f289,f285]) ).
fof(f230,plain,
( sP4(sK19)
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 11:48:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.53 % (26790)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (26777)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (26782)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (26778)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (26794)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57 % (26784)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57 % (26784)Instruction limit reached!
% 0.21/0.57 % (26784)------------------------------
% 0.21/0.57 % (26784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (26784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (26784)Termination reason: Unknown
% 0.21/0.57 % (26784)Termination phase: Preprocessing 2
% 0.21/0.57
% 0.21/0.57 % (26784)Memory used [KB]: 1023
% 0.21/0.57 % (26784)Time elapsed: 0.003 s
% 0.21/0.57 % (26784)Instructions burned: 2 (million)
% 0.21/0.57 % (26784)------------------------------
% 0.21/0.57 % (26784)------------------------------
% 0.21/0.57 % (26789)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (26798)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.57 % (26786)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 TRYING [1]
% 0.21/0.58 TRYING [2]
% 0.21/0.58 % (26779)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (26799)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.59 % (26776)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.59 % (26803)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.59 % (26780)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (26804)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.59 % (26791)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.60 % (26801)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.60 % (26795)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.60 % (26796)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.60 % (26777)Refutation not found, incomplete strategy% (26777)------------------------------
% 0.21/0.60 % (26777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (26805)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.60 % (26783)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.61 % (26787)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.61 % (26777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (26777)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.61
% 0.21/0.61 % (26777)Memory used [KB]: 6140
% 0.21/0.61 % (26777)Time elapsed: 0.183 s
% 0.21/0.61 % (26777)Instructions burned: 27 (million)
% 0.21/0.61 % (26777)------------------------------
% 0.21/0.61 % (26777)------------------------------
% 0.21/0.61 % (26800)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.61 % (26781)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.62 % (26782)Instruction limit reached!
% 0.21/0.62 % (26782)------------------------------
% 0.21/0.62 % (26782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (26782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (26782)Termination reason: Unknown
% 0.21/0.62 % (26782)Termination phase: Finite model building constraint generation
% 0.21/0.62
% 0.21/0.62 % (26782)Memory used [KB]: 9210
% 0.21/0.62 % (26782)Time elapsed: 0.180 s
% 0.21/0.62 % (26782)Instructions burned: 51 (million)
% 0.21/0.62 % (26782)------------------------------
% 0.21/0.62 % (26782)------------------------------
% 1.86/0.62 % (26792)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.86/0.62 % (26785)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.86/0.62 % (26802)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.86/0.63 % (26783)Instruction limit reached!
% 1.86/0.63 % (26783)------------------------------
% 1.86/0.63 % (26783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63 % (26783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (26783)Termination reason: Unknown
% 1.86/0.63 % (26783)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (26783)Memory used [KB]: 5628
% 1.86/0.63 % (26783)Time elapsed: 0.006 s
% 1.86/0.63 % (26783)Instructions burned: 7 (million)
% 1.86/0.63 % (26783)------------------------------
% 1.86/0.63 % (26783)------------------------------
% 1.86/0.63 % (26788)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.86/0.63 % (26793)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.86/0.63 % (26797)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.28/0.65 TRYING [1]
% 2.28/0.66 TRYING [2]
% 2.28/0.67 % (26778)Instruction limit reached!
% 2.28/0.67 % (26778)------------------------------
% 2.28/0.67 % (26778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (26778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (26778)Termination reason: Unknown
% 2.28/0.67 % (26778)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (26778)Memory used [KB]: 1535
% 2.28/0.67 % (26778)Time elapsed: 0.230 s
% 2.28/0.67 % (26778)Instructions burned: 37 (million)
% 2.28/0.67 % (26778)------------------------------
% 2.28/0.67 % (26778)------------------------------
% 2.28/0.67 % (26786)Instruction limit reached!
% 2.28/0.67 % (26786)------------------------------
% 2.28/0.67 % (26786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (26786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (26786)Termination reason: Unknown
% 2.28/0.67 % (26786)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (26786)Memory used [KB]: 6652
% 2.28/0.67 % (26786)Time elapsed: 0.241 s
% 2.28/0.67 % (26786)Instructions burned: 51 (million)
% 2.28/0.67 % (26790)Instruction limit reached!
% 2.28/0.67 % (26790)------------------------------
% 2.28/0.67 % (26790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (26790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (26790)Termination reason: Unknown
% 2.28/0.67 % (26790)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (26790)Memory used [KB]: 6908
% 2.28/0.67 % (26790)Time elapsed: 0.067 s
% 2.28/0.67 % (26790)Instructions burned: 68 (million)
% 2.28/0.67 % (26790)------------------------------
% 2.28/0.67 % (26790)------------------------------
% 2.28/0.67 % (26786)------------------------------
% 2.28/0.67 % (26786)------------------------------
% 2.28/0.67 TRYING [1]
% 2.28/0.70 TRYING [2]
% 2.70/0.72 % (26779)Instruction limit reached!
% 2.70/0.72 % (26779)------------------------------
% 2.70/0.72 % (26779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.72 % (26779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.72 % (26779)Termination reason: Unknown
% 2.70/0.72 % (26779)Termination phase: Saturation
% 2.70/0.72
% 2.70/0.72 % (26779)Memory used [KB]: 6524
% 2.70/0.72 % (26779)Time elapsed: 0.300 s
% 2.70/0.72 % (26779)Instructions burned: 51 (million)
% 2.70/0.72 % (26779)------------------------------
% 2.70/0.72 % (26779)------------------------------
% 2.70/0.75 % (26781)Instruction limit reached!
% 2.70/0.75 % (26781)------------------------------
% 2.70/0.75 % (26781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.75 % (26781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.75 % (26781)Termination reason: Unknown
% 2.70/0.75 % (26781)Termination phase: Saturation
% 2.70/0.75
% 2.70/0.75 % (26781)Memory used [KB]: 6140
% 2.70/0.75 % (26781)Time elapsed: 0.301 s
% 2.70/0.75 % (26781)Instructions burned: 48 (million)
% 2.70/0.75 % (26781)------------------------------
% 2.70/0.75 % (26781)------------------------------
% 2.70/0.75 % (26794)Instruction limit reached!
% 2.70/0.75 % (26794)------------------------------
% 2.70/0.75 % (26794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.75 % (26794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.75 % (26794)Termination reason: Unknown
% 2.70/0.75 % (26794)Termination phase: Saturation
% 2.70/0.75
% 2.70/0.75 % (26794)Memory used [KB]: 7164
% 2.70/0.75 % (26794)Time elapsed: 0.321 s
% 2.70/0.75 % (26794)Instructions burned: 100 (million)
% 2.70/0.75 % (26794)------------------------------
% 2.70/0.75 % (26794)------------------------------
% 3.03/0.76 % (26780)Instruction limit reached!
% 3.03/0.76 % (26780)------------------------------
% 3.03/0.76 % (26780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.76 % (26780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.76 % (26780)Termination reason: Unknown
% 3.03/0.76 % (26780)Termination phase: Saturation
% 3.03/0.76
% 3.03/0.76 % (26780)Memory used [KB]: 6524
% 3.03/0.76 % (26780)Time elapsed: 0.340 s
% 3.03/0.76 % (26780)Instructions burned: 51 (million)
% 3.03/0.76 % (26780)------------------------------
% 3.03/0.76 % (26780)------------------------------
% 3.03/0.77 % (26791)Instruction limit reached!
% 3.03/0.77 % (26791)------------------------------
% 3.03/0.77 % (26791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.77 % (26791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.77 % (26791)Termination reason: Unknown
% 3.03/0.77 % (26791)Termination phase: Saturation
% 3.03/0.77
% 3.03/0.77 % (26791)Memory used [KB]: 2430
% 3.03/0.77 % (26791)Time elapsed: 0.279 s
% 3.03/0.77 % (26791)Instructions burned: 76 (million)
% 3.03/0.77 % (26791)------------------------------
% 3.03/0.77 % (26791)------------------------------
% 3.03/0.77 % (26785)Instruction limit reached!
% 3.03/0.77 % (26785)------------------------------
% 3.03/0.77 % (26785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.77 % (26785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.77 % (26785)Termination reason: Unknown
% 3.03/0.77 % (26785)Termination phase: Saturation
% 3.03/0.77
% 3.03/0.77 % (26785)Memory used [KB]: 1918
% 3.03/0.77 % (26785)Time elapsed: 0.347 s
% 3.03/0.77 % (26785)Instructions burned: 51 (million)
% 3.03/0.77 % (26785)------------------------------
% 3.03/0.77 % (26785)------------------------------
% 3.03/0.78 % (26793)Instruction limit reached!
% 3.03/0.78 % (26793)------------------------------
% 3.03/0.78 % (26793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.78 % (26793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.78 % (26793)Termination reason: Unknown
% 3.03/0.78 % (26793)Termination phase: Finite model building SAT solving
% 3.03/0.78
% 3.03/0.78 % (26793)Memory used [KB]: 9210
% 3.03/0.78 % (26793)Time elapsed: 0.272 s
% 3.03/0.78 % (26793)Instructions burned: 60 (million)
% 3.03/0.78 % (26793)------------------------------
% 3.03/0.78 % (26793)------------------------------
% 3.03/0.79 % (26840)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.03/0.79 % (26802)Instruction limit reached!
% 3.03/0.79 % (26802)------------------------------
% 3.03/0.79 % (26802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.79 % (26802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.79 % (26802)Termination reason: Unknown
% 3.03/0.79 % (26802)Termination phase: Saturation
% 3.03/0.79
% 3.03/0.79 % (26802)Memory used [KB]: 6908
% 3.03/0.79 % (26802)Time elapsed: 0.050 s
% 3.03/0.79 % (26802)Instructions burned: 68 (million)
% 3.03/0.79 % (26802)------------------------------
% 3.03/0.79 % (26802)------------------------------
% 3.03/0.80 % (26841)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.03/0.80 % (26838)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.03/0.82 % (26845)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.03/0.82 % (26843)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.03/0.83 % (26789)Instruction limit reached!
% 3.03/0.83 % (26789)------------------------------
% 3.03/0.83 % (26789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.83 % (26789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.83 % (26789)Termination reason: Unknown
% 3.03/0.84 % (26789)Termination phase: Saturation
% 3.03/0.84
% 3.03/0.84 % (26789)Memory used [KB]: 7291
% 3.03/0.84 % (26789)Time elapsed: 0.398 s
% 3.03/0.84 % (26789)Instructions burned: 99 (million)
% 3.03/0.84 % (26789)------------------------------
% 3.03/0.84 % (26789)------------------------------
% 3.03/0.84 % (26839)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.03/0.84 % (26795)Instruction limit reached!
% 3.03/0.84 % (26795)------------------------------
% 3.03/0.84 % (26795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.85 % (26787)Instruction limit reached!
% 3.03/0.85 % (26787)------------------------------
% 3.03/0.85 % (26787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.85 % (26795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.85 % (26795)Termination reason: Unknown
% 3.03/0.85 % (26795)Termination phase: Saturation
% 3.03/0.85
% 3.03/0.85 % (26795)Memory used [KB]: 2558
% 3.03/0.85 % (26795)Time elapsed: 0.423 s
% 3.03/0.85 % (26795)Instructions burned: 101 (million)
% 3.03/0.85 % (26795)------------------------------
% 3.03/0.85 % (26795)------------------------------
% 3.03/0.85 % (26787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.85 % (26787)Termination reason: Unknown
% 3.03/0.85 % (26787)Termination phase: Saturation
% 3.03/0.85
% 3.03/0.85 % (26787)Memory used [KB]: 7291
% 3.03/0.85 % (26787)Time elapsed: 0.409 s
% 3.03/0.85 % (26787)Instructions burned: 100 (million)
% 3.03/0.85 % (26787)------------------------------
% 3.03/0.85 % (26787)------------------------------
% 3.03/0.85 % (26844)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.46/0.85 % (26788)Instruction limit reached!
% 3.46/0.85 % (26788)------------------------------
% 3.46/0.85 % (26788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.85 % (26788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.85 % (26788)Termination reason: Unknown
% 3.46/0.85 % (26788)Termination phase: Saturation
% 3.46/0.85
% 3.46/0.85 % (26788)Memory used [KB]: 7036
% 3.46/0.85 % (26788)Time elapsed: 0.429 s
% 3.46/0.85 % (26788)Instructions burned: 101 (million)
% 3.46/0.85 % (26788)------------------------------
% 3.46/0.85 % (26788)------------------------------
% 3.46/0.87 % (26849)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.46/0.87 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.46/0.87 % (26792)Instruction limit reached!
% 3.46/0.87 % (26792)------------------------------
% 3.46/0.87 % (26792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.87 % (26792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.87 % (26850)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.46/0.87 % (26792)Termination reason: Unknown
% 3.46/0.87 % (26792)Termination phase: Saturation
% 3.46/0.87
% 3.46/0.87 % (26792)Memory used [KB]: 6780
% 3.46/0.87 % (26792)Time elapsed: 0.443 s
% 3.46/0.87 % (26792)Instructions burned: 100 (million)
% 3.46/0.87 % (26792)------------------------------
% 3.46/0.87 % (26792)------------------------------
% 3.46/0.87 % (26854)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.46/0.88 % (26797)First to succeed.
% 3.46/0.88 % (26846)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.46/0.89 % (26851)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.60/0.89 % (26855)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.60/0.90 % (26853)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.60/0.90 % (26797)Refutation found. Thanks to Tanya!
% 3.60/0.90 % SZS status Theorem for theBenchmark
% 3.60/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/0.90 % (26797)------------------------------
% 3.60/0.90 % (26797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.90 % (26797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.90 % (26797)Termination reason: Refutation
% 3.60/0.90
% 3.60/0.90 % (26797)Memory used [KB]: 7164
% 3.60/0.90 % (26797)Time elapsed: 0.453 s
% 3.60/0.90 % (26797)Instructions burned: 111 (million)
% 3.60/0.90 % (26797)------------------------------
% 3.60/0.90 % (26797)------------------------------
% 3.60/0.90 % (26775)Success in time 0.54 s
%------------------------------------------------------------------------------