TSTP Solution File: RNG081+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG081+2 : TPTP v8.2.0. 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 : n026.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 : Tue May 21 02:39:22 EDT 2024
% Result : Theorem 0.67s 0.73s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of formulae : 150 ( 15 unt; 0 def)
% Number of atoms : 806 ( 278 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 868 ( 212 ~; 199 |; 414 &)
% ( 10 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-8 aty)
% Number of functors : 26 ( 26 usr; 5 con; 0-8 aty)
% Number of variables : 428 ( 298 !; 130 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1195,plain,
$false,
inference(avatar_sat_refutation,[],[f255,f310,f529,f693,f779,f780,f859,f900,f1028,f1103,f1157]) ).
fof(f1157,plain,
( spl21_36
| ~ spl21_49 ),
inference(avatar_split_clause,[],[f1029,f1018,f607]) ).
fof(f607,plain,
( spl21_36
<=> ! [X0] : ~ sP4(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).
fof(f1018,plain,
( spl21_49
<=> ! [X2,X0,X1] : ~ sP3(X0,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).
fof(f1029,plain,
( ! [X0] : ~ sP4(X0)
| ~ spl21_49 ),
inference(resolution,[],[f1019,f157]) ).
fof(f157,plain,
! [X0] :
( sP3(X0,sK5(X0),sK6(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( sP3(X0,sK5(X0),sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
& aScalar0(sK6(X0))
& sziznziztdt0(xt) = sK5(X0)
& ! [X3] :
( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK5(X0),X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
& aVector0(sK5(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f111,f113,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
=> ( ? [X2] :
( sP3(X0,sK5(X0),X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = sK5(X0)
& ! [X3] :
( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK5(X0),X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
& aVector0(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X2] :
( sP3(X0,sK5(X0),X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
=> ( sP3(X0,sK5(X0),sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
& aScalar0(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP3(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1019,plain,
( ! [X2,X0,X1] : ~ sP3(X0,X1,X2)
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1103,plain,
( ~ spl21_1
| ~ spl21_9
| ~ spl21_31 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl21_1
| ~ spl21_9
| ~ spl21_31 ),
inference(subsumption_resolution,[],[f1091,f1098]) ).
fof(f1098,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| ~ spl21_9 ),
inference(forward_demodulation,[],[f1097,f818]) ).
fof(f818,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f817,f148]) ).
fof(f148,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f817,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xt)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f809,f250]) ).
fof(f250,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl21_1
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f809,plain,
( sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xt)
| ~ spl21_1 ),
inference(superposition,[],[f685,f150]) ).
fof(f150,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f685,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| ~ aVector0(X0) )
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f683,f147]) ).
fof(f147,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f683,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl21_1 ),
inference(duplicate_literal_removal,[],[f673]) ).
fof(f673,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl21_1 ),
inference(superposition,[],[f195,f250]) ).
fof(f195,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,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/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f1097,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| ~ spl21_9 ),
inference(forward_demodulation,[],[f1086,f819]) ).
fof(f819,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f814,f147]) ).
fof(f814,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| ~ spl21_1 ),
inference(trivial_inequality_removal,[],[f813]) ).
fof(f813,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| ~ spl21_1 ),
inference(superposition,[],[f685,f250]) ).
fof(f1086,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
| ~ spl21_9 ),
inference(superposition,[],[f192,f989]) ).
fof(f989,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| ~ spl21_9 ),
inference(subsumption_resolution,[],[f988,f148]) ).
fof(f988,plain,
( ~ aVector0(xt)
| sz0z00 = sdtasasdt0(xt,xt)
| ~ spl21_9 ),
inference(trivial_inequality_removal,[],[f976]) ).
fof(f976,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xt)
| sz0z00 = sdtasasdt0(xt,xt)
| ~ spl21_9 ),
inference(superposition,[],[f309,f150]) ).
fof(f309,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,xt) )
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl21_9
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f192,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ( sP4(sK18)
& sziznziztdt0(xs) = sK18
& ! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
& aVector0(sK18) )
| sz00 = aDimensionOf0(xs) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f137,f138]) ).
fof(f138,plain,
( ? [X0] :
( sP4(X0)
& sziznziztdt0(xs) = X0
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
=> ( sP4(sK18)
& sziznziztdt0(xs) = sK18
& ! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
& aVector0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( sP4(X0)
& sziznziztdt0(xs) = X0
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( sP4(X0)
& sziznziztdt0(xs) = X0
& ! [X15] :
( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
| ~ aNaturalNumber0(X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(definition_folding,[],[f51,f108,f107,f106,f105,f104]) ).
fof(f104,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(f105,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(f106,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(f107,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(f51,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
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X15] :
( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
| ~ aNaturalNumber0(X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( 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
& ! [X14] :
( aNaturalNumber0(X14)
=> sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X15] :
( aNaturalNumber0(X15)
=> sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) ) )
=> 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] :
( ? [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
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(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
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1091,plain,
( sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| ~ spl21_9
| ~ spl21_31 ),
inference(superposition,[],[f902,f989]) ).
fof(f902,plain,
( sdtlseqdt0(sdtasdt0(sz0z00,sdtasasdt0(xt,xt)),sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| ~ spl21_31 ),
inference(forward_demodulation,[],[f901,f819]) ).
fof(f901,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| ~ spl21_31 ),
inference(forward_demodulation,[],[f528,f818]) ).
fof(f528,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl21_31
<=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
fof(f1028,plain,
spl21_49,
inference(avatar_split_clause,[],[f1027,f1018]) ).
fof(f1027,plain,
! [X2,X0,X1] : ~ sP3(X0,X1,X2),
inference(subsumption_resolution,[],[f1010,f760]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f724,f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasdt0(X1,X1) = sK12(X0,X1,X2,X3,X4,X5)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X0,X0) = sK11(X0,X1,X2,X3,X4,X5)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5))
& sdtasasdt0(X5,X4) = sK10(X0,X1,X2,X3,X4,X5)
& aScalar0(sK10(X0,X1,X2,X3,X4,X5)) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f121,f124,f123,f122]) ).
fof(f122,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(sK10(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) = sK10(X0,X1,X2,X3,X4,X5)
& aScalar0(sK10(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X7] :
( ? [X8] :
( sP1(sK10(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(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
& sdtasdt0(X0,X0) = sK11(X0,X1,X2,X3,X4,X5)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
& sdtasdt0(X1,X1) = X8
& aScalar0(X8) )
=> ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasdt0(X1,X1) = sK12(X0,X1,X2,X3,X4,X5)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,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,[],[f120]) ).
fof(f120,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,[],[f106]) ).
fof(f724,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5,X6),
inference(resolution,[],[f468,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = sK15(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X1,X4) = sK14(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X6,X5) = sK13(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6)) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f127,f130,f129,f128]) ).
fof(f128,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,sK13(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
& sdtasdt0(X6,X5) = sK13(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X8] :
( ? [X9] :
( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = X8
& aScalar0(X8) )
=> ( ? [X9] :
( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),X9)
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X4) = sK14(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),X9)
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
& aScalar0(X9) )
=> ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = sK15(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,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,[],[f126]) ).
fof(f126,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,[],[f105]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7),
inference(resolution,[],[f192,f186]) ).
fof(f186,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,[],[f136]) ).
fof(f136,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,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtasdt0(X2,X1) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7)) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f133,f135,f134]) ).
fof(f134,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,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
& aScalar0(X9) )
& sdtasdt0(X2,X1) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,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,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK16(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,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,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,[],[f132]) ).
fof(f132,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,[],[f104]) ).
fof(f1010,plain,
! [X2,X0,X1] :
( sP2(X2,sdtlbdtrb0(xt,aDimensionOf0(xs)),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f1007]) ).
fof(f1007,plain,
! [X2,X0,X1] :
( sP2(X2,sdtlbdtrb0(xt,aDimensionOf0(xs)),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
| ~ sP3(X0,X1,X2)
| ~ sP3(X0,X1,X2) ),
inference(superposition,[],[f164,f279]) ).
fof(f279,plain,
! [X2,X0,X1] :
( sK7(X0,X1,X2) = sdtlbdtrb0(xt,aDimensionOf0(xs))
| ~ sP3(X0,X1,X2) ),
inference(superposition,[],[f159,f150]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
& aScalar0(sK9(X0,X1,X2))
& sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
& aScalar0(sK8(X0,X1,X2))
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
& aScalar0(sK7(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f115,f118,f117,f116]) ).
fof(f116,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,sK7(X0,X1,X2),X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
& aScalar0(sK7(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ? [X4] :
( ? [X5] :
( sP2(X2,sK7(X0,X1,X2),X5,X4,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
=> ( ? [X5] :
( sP2(X2,sK7(X0,X1,X2),X5,sK8(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
& aScalar0(sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ? [X5] :
( sP2(X2,sK7(X0,X1,X2),X5,sK8(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
=> ( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
& aScalar0(sK9(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,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,[],[f107]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f900,plain,
( ~ spl21_1
| spl21_28 ),
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| ~ spl21_1
| spl21_28 ),
inference(subsumption_resolution,[],[f891,f242]) ).
fof(f242,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f891,plain,
( ~ aScalar0(sz0z00)
| ~ spl21_1
| spl21_28 ),
inference(duplicate_literal_removal,[],[f885]) ).
fof(f885,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00)
| ~ spl21_1
| spl21_28 ),
inference(superposition,[],[f876,f228]) ).
fof(f228,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f876,plain,
( ~ aScalar0(sdtasdt0(sz0z00,sz0z00))
| ~ spl21_1
| spl21_28 ),
inference(forward_demodulation,[],[f516,f818]) ).
fof(f516,plain,
( ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| spl21_28 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl21_28
<=> aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).
fof(f859,plain,
spl21_24,
inference(avatar_split_clause,[],[f858,f497]) ).
fof(f497,plain,
( spl21_24
<=> aScalar0(sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f858,plain,
aScalar0(sdtasasdt0(xt,xt)),
inference(subsumption_resolution,[],[f852,f148]) ).
fof(f852,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt) ),
inference(trivial_inequality_removal,[],[f840]) ).
fof(f840,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt) ),
inference(superposition,[],[f311,f150]) ).
fof(f311,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f285,f148]) ).
fof(f285,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f196,f150]) ).
fof(f196,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,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/benchmark/theBenchmark.p',mScPr) ).
fof(f780,plain,
( ~ spl21_22
| ~ spl21_24
| spl21_29 ),
inference(avatar_split_clause,[],[f712,f518,f497,f489]) ).
fof(f489,plain,
( spl21_22
<=> aScalar0(sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).
fof(f518,plain,
( spl21_29
<=> aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).
fof(f712,plain,
( ~ aScalar0(sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xs,xs))
| spl21_29 ),
inference(resolution,[],[f520,f234]) ).
fof(f234,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f520,plain,
( ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl21_29 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f779,plain,
( spl21_22
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f778,f248,f489]) ).
fof(f778,plain,
( aScalar0(sdtasasdt0(xs,xs))
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f768,f147]) ).
fof(f768,plain,
( aScalar0(sdtasasdt0(xs,xs))
| ~ aVector0(xs)
| ~ spl21_1 ),
inference(trivial_inequality_removal,[],[f767]) ).
fof(f767,plain,
( sz00 != sz00
| aScalar0(sdtasasdt0(xs,xs))
| ~ aVector0(xs)
| ~ spl21_1 ),
inference(superposition,[],[f687,f250]) ).
fof(f687,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0) )
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f675,f147]) ).
fof(f675,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl21_1 ),
inference(superposition,[],[f196,f250]) ).
fof(f693,plain,
( ~ spl21_2
| ~ spl21_36 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl21_2
| ~ spl21_36 ),
inference(unit_resulting_resolution,[],[f254,f608]) ).
fof(f608,plain,
( ! [X0] : ~ sP4(X0)
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f254,plain,
( sP4(sK18)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl21_2
<=> sP4(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f529,plain,
( ~ spl21_29
| ~ spl21_28
| spl21_31 ),
inference(avatar_split_clause,[],[f471,f526,f514,f518]) ).
fof(f471,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(resolution,[],[f192,f210]) ).
fof(f210,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f310,plain,
( ~ spl21_1
| spl21_9 ),
inference(avatar_split_clause,[],[f306,f308,f248]) ).
fof(f306,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(X0,xt)
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f284,f148]) ).
fof(f284,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(X0,xt)
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f195,f150]) ).
fof(f255,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f191,f252,f248]) ).
fof(f191,plain,
( sP4(sK18)
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG081+2 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10 % 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
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat May 18 12:25:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 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/benchmark/theBenchmark.p
% 0.48/0.67 % (15168)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 theBenchmark for (2996ds/51Mi)
% 0.48/0.67 % (15169)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.67 % (15171)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.67 % (15172)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.67 % (15173)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 theBenchmark for (2996ds/83Mi)
% 0.48/0.67 % (15174)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.48/0.67 % (15167)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.67 % (15170)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.67 % (15174)Refutation not found, incomplete strategy% (15174)------------------------------
% 0.48/0.67 % (15174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (15174)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (15174)Memory used [KB]: 1192
% 0.48/0.67 % (15174)Time elapsed: 0.006 s
% 0.48/0.67 % (15174)Instructions burned: 10 (million)
% 0.48/0.67 % (15174)------------------------------
% 0.48/0.67 % (15174)------------------------------
% 0.48/0.68 % (15175)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 theBenchmark for (2996ds/55Mi)
% 0.48/0.68 % (15168)Instruction limit reached!
% 0.48/0.68 % (15168)------------------------------
% 0.48/0.68 % (15168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (15168)Termination reason: Unknown
% 0.48/0.68 % (15168)Termination phase: Saturation
% 0.48/0.68
% 0.48/0.68 % (15168)Memory used [KB]: 1788
% 0.48/0.68 % (15168)Time elapsed: 0.018 s
% 0.48/0.68 % (15168)Instructions burned: 51 (million)
% 0.48/0.68 % (15168)------------------------------
% 0.48/0.68 % (15168)------------------------------
% 0.48/0.68 % (15171)Instruction limit reached!
% 0.48/0.68 % (15171)------------------------------
% 0.48/0.68 % (15171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (15171)Termination reason: Unknown
% 0.48/0.68 % (15171)Termination phase: Saturation
% 0.48/0.68
% 0.48/0.68 % (15171)Memory used [KB]: 1613
% 0.48/0.68 % (15171)Time elapsed: 0.019 s
% 0.48/0.68 % (15171)Instructions burned: 34 (million)
% 0.48/0.68 % (15171)------------------------------
% 0.48/0.68 % (15171)------------------------------
% 0.48/0.68 % (15167)Instruction limit reached!
% 0.48/0.68 % (15167)------------------------------
% 0.48/0.68 % (15167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (15167)Termination reason: Unknown
% 0.48/0.69 % (15167)Termination phase: Saturation
% 0.48/0.69
% 0.48/0.69 % (15167)Memory used [KB]: 1487
% 0.48/0.69 % (15167)Time elapsed: 0.020 s
% 0.48/0.69 % (15167)Instructions burned: 35 (million)
% 0.48/0.69 % (15167)------------------------------
% 0.48/0.69 % (15167)------------------------------
% 0.48/0.69 % (15176)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.48/0.69 % (15178)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.48/0.69 % (15177)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.48/0.69 % (15172)Instruction limit reached!
% 0.48/0.69 % (15172)------------------------------
% 0.48/0.69 % (15172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.69 % (15172)Termination reason: Unknown
% 0.48/0.69 % (15172)Termination phase: Saturation
% 0.48/0.69
% 0.48/0.69 % (15172)Memory used [KB]: 1674
% 0.48/0.69 % (15172)Time elapsed: 0.026 s
% 0.48/0.69 % (15172)Instructions burned: 46 (million)
% 0.48/0.69 % (15172)------------------------------
% 0.48/0.69 % (15172)------------------------------
% 0.48/0.69 % (15170)Instruction limit reached!
% 0.48/0.69 % (15170)------------------------------
% 0.48/0.69 % (15170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.69 % (15170)Termination reason: Unknown
% 0.48/0.69 % (15170)Termination phase: Saturation
% 0.48/0.69
% 0.48/0.69 % (15170)Memory used [KB]: 1562
% 0.48/0.69 % (15170)Time elapsed: 0.029 s
% 0.48/0.69 % (15170)Instructions burned: 33 (million)
% 0.48/0.69 % (15170)------------------------------
% 0.48/0.69 % (15170)------------------------------
% 0.48/0.70 % (15179)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.48/0.70 % (15176)Instruction limit reached!
% 0.48/0.70 % (15176)------------------------------
% 0.48/0.70 % (15176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70 % (15176)Termination reason: Unknown
% 0.48/0.70 % (15176)Termination phase: Saturation
% 0.48/0.70
% 0.48/0.70 % (15176)Memory used [KB]: 1672
% 0.48/0.70 % (15176)Time elapsed: 0.015 s
% 0.48/0.70 % (15176)Instructions burned: 52 (million)
% 0.48/0.70 % (15176)------------------------------
% 0.48/0.70 % (15176)------------------------------
% 0.48/0.70 % (15173)Instruction limit reached!
% 0.48/0.70 % (15173)------------------------------
% 0.48/0.70 % (15173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70 % (15173)Termination reason: Unknown
% 0.48/0.70 % (15173)Termination phase: Saturation
% 0.48/0.70
% 0.48/0.70 % (15173)Memory used [KB]: 2007
% 0.48/0.70 % (15173)Time elapsed: 0.036 s
% 0.48/0.70 % (15173)Instructions burned: 83 (million)
% 0.48/0.70 % (15173)------------------------------
% 0.48/0.70 % (15173)------------------------------
% 0.48/0.70 % (15180)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.48/0.70 % (15181)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.67/0.70 % (15169)Instruction limit reached!
% 0.67/0.70 % (15169)------------------------------
% 0.67/0.70 % (15169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.70 % (15169)Termination reason: Unknown
% 0.67/0.70 % (15169)Termination phase: Saturation
% 0.67/0.70
% 0.67/0.70 % (15169)Memory used [KB]: 1962
% 0.67/0.70 % (15169)Time elapsed: 0.040 s
% 0.67/0.70 % (15169)Instructions burned: 78 (million)
% 0.67/0.70 % (15169)------------------------------
% 0.67/0.70 % (15169)------------------------------
% 0.67/0.71 % (15182)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.67/0.71 % (15175)Instruction limit reached!
% 0.67/0.71 % (15175)------------------------------
% 0.67/0.71 % (15175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.71 % (15175)Termination reason: Unknown
% 0.67/0.71 % (15175)Termination phase: Saturation
% 0.67/0.71
% 0.67/0.71 % (15175)Memory used [KB]: 2041
% 0.67/0.71 % (15175)Time elapsed: 0.030 s
% 0.67/0.71 % (15175)Instructions burned: 56 (million)
% 0.67/0.71 % (15175)------------------------------
% 0.67/0.71 % (15175)------------------------------
% 0.67/0.71 % (15183)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.67/0.71 % (15184)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.67/0.72 % (15178)Instruction limit reached!
% 0.67/0.72 % (15178)------------------------------
% 0.67/0.72 % (15178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.72 % (15178)Termination reason: Unknown
% 0.67/0.72 % (15178)Termination phase: Saturation
% 0.67/0.72
% 0.67/0.72 % (15178)Memory used [KB]: 1864
% 0.67/0.72 % (15178)Time elapsed: 0.029 s
% 0.67/0.72 % (15178)Instructions burned: 53 (million)
% 0.67/0.72 % (15178)------------------------------
% 0.67/0.72 % (15178)------------------------------
% 0.67/0.72 % (15179)First to succeed.
% 0.67/0.72 % (15185)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.67/0.73 % (15179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15166"
% 0.67/0.73 % (15179)Refutation found. Thanks to Tanya!
% 0.67/0.73 % SZS status Theorem for theBenchmark
% 0.67/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.73 % (15179)------------------------------
% 0.67/0.73 % (15179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.73 % (15179)Termination reason: Refutation
% 0.67/0.73
% 0.67/0.73 % (15179)Memory used [KB]: 1599
% 0.67/0.73 % (15179)Time elapsed: 0.031 s
% 0.67/0.73 % (15179)Instructions burned: 57 (million)
% 0.67/0.73 % (15166)Success in time 0.401 s
% 0.67/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------