TSTP Solution File: RNG071+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:54:01 EDT 2024
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 168 ( 34 unt; 0 def)
% Number of atoms : 467 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 529 ( 230 ~; 246 |; 28 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1272,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f304,f479,f698,f711,f719,f739,f954,f970,f1177,f1188,f1203,f1245,f1248,f1271]) ).
fof(f1271,plain,
( ~ spl2_4
| spl2_18
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl2_4
| spl2_18
| ~ spl2_45 ),
inference(subsumption_resolution,[],[f1269,f197]) ).
fof(f197,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mSZeroSc) ).
fof(f1269,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_4
| spl2_18
| ~ spl2_45 ),
inference(subsumption_resolution,[],[f1267,f302]) ).
fof(f302,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl2_4
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f1267,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(sz0z00)
| spl2_18
| ~ spl2_45 ),
inference(resolution,[],[f977,f743]) ).
fof(f743,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,X0)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_18 ),
inference(subsumption_resolution,[],[f742,f152]) ).
fof(f152,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1911) ).
fof(f742,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_18 ),
inference(subsumption_resolution,[],[f740,f154]) ).
fof(f154,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1930) ).
fof(f740,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_18 ),
inference(resolution,[],[f478,f167]) ).
fof(f167,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mLETrn) ).
fof(f478,plain,
( ~ sdtlseqdt0(xP,xS)
| spl2_18 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl2_18
<=> sdtlseqdt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f977,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl2_45
<=> sdtlseqdt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
fof(f1248,plain,
( spl2_41
| spl2_45 ),
inference(avatar_split_clause,[],[f1247,f976,f881]) ).
fof(f881,plain,
( spl2_41
<=> sdtlseqdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f1247,plain,
( sdtlseqdt0(sz0z00,xP)
| spl2_45 ),
inference(subsumption_resolution,[],[f1246,f197]) ).
fof(f1246,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(sz0z00)
| spl2_45 ),
inference(subsumption_resolution,[],[f991,f152]) ).
fof(f991,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| spl2_45 ),
inference(resolution,[],[f978,f166]) ).
fof(f166,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,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/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mLETot) ).
fof(f978,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| spl2_45 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f1245,plain,
( ~ spl2_41
| spl2_2 ),
inference(avatar_split_clause,[],[f1244,f230,f881]) ).
fof(f230,plain,
( spl2_2
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f1244,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl2_2 ),
inference(subsumption_resolution,[],[f1236,f152]) ).
fof(f1236,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| spl2_2 ),
inference(duplicate_literal_removal,[],[f1233]) ).
fof(f1233,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_2 ),
inference(resolution,[],[f232,f194]) ).
fof(f194,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mPosMon) ).
fof(f232,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl2_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f1203,plain,
( ~ spl2_49
| spl2_4
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f1202,f1102,f301,f1098]) ).
fof(f1098,plain,
( spl2_49
<=> sdtlseqdt0(sz0z00,sdtasdt0(xA,xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
fof(f1102,plain,
( spl2_50
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).
fof(f1202,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ spl2_50 ),
inference(subsumption_resolution,[],[f1201,f211]) ).
fof(f211,plain,
aScalar0(sdtasdt0(xA,xA)),
inference(forward_demodulation,[],[f144,f145]) ).
fof(f145,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1837) ).
fof(f144,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f1201,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasdt0(xA,xA))
| ~ spl2_50 ),
inference(subsumption_resolution,[],[f1200,f209]) ).
fof(f209,plain,
aScalar0(sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f140,f141]) ).
fof(f141,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1800) ).
fof(f140,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f1200,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasasdt0(xq,xq))
| ~ aScalar0(sdtasdt0(xA,xA))
| ~ spl2_50 ),
inference(subsumption_resolution,[],[f1048,f1103]) ).
fof(f1103,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1048,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasasdt0(xq,xq))
| ~ aScalar0(sdtasdt0(xA,xA)) ),
inference(superposition,[],[f195,f219]) ).
fof(f219,plain,
xS = sdtasdt0(sdtasdt0(xA,xA),sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f218,f145]) ).
fof(f218,plain,
xS = sdtasdt0(xF,sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f155,f141]) ).
fof(f155,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f195,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1188,plain,
spl2_49,
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| spl2_49 ),
inference(subsumption_resolution,[],[f1182,f134]) ).
fof(f134,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1746) ).
fof(f1182,plain,
( ~ aScalar0(xA)
| spl2_49 ),
inference(resolution,[],[f1100,f193]) ).
fof(f193,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mSqPos) ).
fof(f1100,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| spl2_49 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1177,plain,
spl2_50,
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| spl2_50 ),
inference(subsumption_resolution,[],[f1170,f132]) ).
fof(f132,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1726) ).
fof(f1170,plain,
( ~ aVector0(xq)
| spl2_50 ),
inference(resolution,[],[f1104,f171]) ).
fof(f171,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mScSqPos) ).
fof(f1104,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| spl2_50 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f970,plain,
( spl2_41
| spl2_17
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f966,f736,f472,f881]) ).
fof(f472,plain,
( spl2_17
<=> sdtlseqdt0(xP,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f736,plain,
( spl2_31
<=> sz0z00 = xR ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f966,plain,
( sdtlseqdt0(sz0z00,xP)
| spl2_17
| ~ spl2_31 ),
inference(superposition,[],[f494,f738]) ).
fof(f738,plain,
( sz0z00 = xR
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f494,plain,
( sdtlseqdt0(xR,xP)
| spl2_17 ),
inference(subsumption_resolution,[],[f493,f150]) ).
fof(f150,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1892) ).
fof(f493,plain,
( sdtlseqdt0(xR,xP)
| ~ aScalar0(xR)
| spl2_17 ),
inference(subsumption_resolution,[],[f490,f152]) ).
fof(f490,plain,
( sdtlseqdt0(xR,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| spl2_17 ),
inference(resolution,[],[f474,f166]) ).
fof(f474,plain,
( ~ sdtlseqdt0(xP,xR)
| spl2_17 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f954,plain,
( spl2_41
| spl2_17
| spl2_30 ),
inference(avatar_split_clause,[],[f953,f732,f472,f881]) ).
fof(f732,plain,
( spl2_30
<=> sdtlseqdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f953,plain,
( sdtlseqdt0(sz0z00,xP)
| spl2_17
| spl2_30 ),
inference(subsumption_resolution,[],[f952,f197]) ).
fof(f952,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(sz0z00)
| spl2_17
| spl2_30 ),
inference(subsumption_resolution,[],[f949,f152]) ).
fof(f949,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| spl2_17
| spl2_30 ),
inference(resolution,[],[f944,f166]) ).
fof(f944,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| spl2_17
| spl2_30 ),
inference(subsumption_resolution,[],[f935,f152]) ).
fof(f935,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| spl2_17
| spl2_30 ),
inference(resolution,[],[f751,f494]) ).
fof(f751,plain,
( ! [X0] :
( ~ sdtlseqdt0(xR,X0)
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| spl2_30 ),
inference(subsumption_resolution,[],[f750,f150]) ).
fof(f750,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(xR,X0)
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| spl2_30 ),
inference(subsumption_resolution,[],[f748,f197]) ).
fof(f748,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(xR,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| spl2_30 ),
inference(resolution,[],[f734,f167]) ).
fof(f734,plain,
( ~ sdtlseqdt0(xR,sz0z00)
| spl2_30 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f739,plain,
( ~ spl2_30
| spl2_31
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f730,f297,f736,f732]) ).
fof(f297,plain,
( spl2_3
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f730,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f729,f150]) ).
fof(f729,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(xR)
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f727,f197]) ).
fof(f727,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ spl2_3 ),
inference(resolution,[],[f298,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mLEASm) ).
fof(f298,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f719,plain,
( ~ spl2_27
| spl2_3
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f718,f678,f297,f674]) ).
fof(f674,plain,
( spl2_27
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f678,plain,
( spl2_28
<=> sdtlseqdt0(sz0z00,sdtasdt0(xB,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f718,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f717,f208]) ).
fof(f208,plain,
aScalar0(sdtasasdt0(xp,xp)),
inference(forward_demodulation,[],[f138,f139]) ).
fof(f139,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1783) ).
fof(f138,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f717,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasasdt0(xp,xp))
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f716,f212]) ).
fof(f212,plain,
aScalar0(sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f146,f147]) ).
fof(f147,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1854) ).
fof(f146,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f716,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasdt0(xB,xB))
| ~ aScalar0(sdtasasdt0(xp,xp))
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f637,f679]) ).
fof(f679,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f637,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasdt0(xB,xB))
| ~ aScalar0(sdtasasdt0(xp,xp)) ),
inference(superposition,[],[f195,f215]) ).
fof(f215,plain,
xR = sdtasdt0(sdtasasdt0(xp,xp),sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f214,f139]) ).
fof(f214,plain,
xR = sdtasdt0(xC,sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f151,f147]) ).
fof(f151,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f711,plain,
spl2_27,
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| spl2_27 ),
inference(subsumption_resolution,[],[f704,f130]) ).
fof(f130,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1709) ).
fof(f704,plain,
( ~ aVector0(xp)
| spl2_27 ),
inference(resolution,[],[f676,f171]) ).
fof(f676,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| spl2_27 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f698,plain,
spl2_28,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| spl2_28 ),
inference(subsumption_resolution,[],[f692,f136]) ).
fof(f136,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__1766) ).
fof(f692,plain,
( ~ aScalar0(xB)
| spl2_28 ),
inference(resolution,[],[f680,f193]) ).
fof(f680,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| spl2_28 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f479,plain,
( ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f470,f476,f472]) ).
fof(f470,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR) ),
inference(subsumption_resolution,[],[f469,f150]) ).
fof(f469,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f468,f152]) ).
fof(f468,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xP)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f467,f154]) ).
fof(f467,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR) ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f464,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(resolution,[],[f162,f183]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',mLEMon) ).
fof(f162,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__2590) ).
fof(f304,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f295,f226,f301,f297]) ).
fof(f226,plain,
( spl2_1
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f295,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl2_1 ),
inference(subsumption_resolution,[],[f294,f150]) ).
fof(f294,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| spl2_1 ),
inference(subsumption_resolution,[],[f291,f154]) ).
fof(f291,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl2_1 ),
inference(resolution,[],[f228,f194]) ).
fof(f228,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f233,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f164,f230,f226]) ).
fof(f164,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:14:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ZnxyrlwIHU/Vampire---4.8_9095
% 0.58/0.75 % (9212)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (9205)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (9207)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (9206)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (9209)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (9210)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (9208)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (9211)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.76 % (9208)Instruction limit reached!
% 0.58/0.76 % (9208)------------------------------
% 0.58/0.76 % (9208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (9208)Termination reason: Unknown
% 0.58/0.76 % (9208)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (9208)Memory used [KB]: 1660
% 0.58/0.76 % (9208)Time elapsed: 0.018 s
% 0.58/0.76 % (9208)Instructions burned: 33 (million)
% 0.58/0.76 % (9208)------------------------------
% 0.58/0.76 % (9208)------------------------------
% 0.58/0.76 % (9212)Instruction limit reached!
% 0.58/0.76 % (9212)------------------------------
% 0.58/0.76 % (9212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (9212)Termination reason: Unknown
% 0.58/0.76 % (9212)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (9212)Memory used [KB]: 1602
% 0.58/0.76 % (9212)Time elapsed: 0.019 s
% 0.58/0.76 % (9212)Instructions burned: 56 (million)
% 0.58/0.76 % (9212)------------------------------
% 0.58/0.76 % (9212)------------------------------
% 0.58/0.77 % (9209)Instruction limit reached!
% 0.58/0.77 % (9209)------------------------------
% 0.58/0.77 % (9209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (9209)Termination reason: Unknown
% 0.58/0.77 % (9209)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (9209)Memory used [KB]: 1628
% 0.58/0.77 % (9209)Time elapsed: 0.020 s
% 0.58/0.77 % (9209)Instructions burned: 34 (million)
% 0.58/0.77 % (9209)------------------------------
% 0.58/0.77 % (9209)------------------------------
% 0.58/0.77 % (9205)Instruction limit reached!
% 0.58/0.77 % (9205)------------------------------
% 0.58/0.77 % (9205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (9205)Termination reason: Unknown
% 0.58/0.77 % (9205)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (9205)Memory used [KB]: 1413
% 0.58/0.77 % (9205)Time elapsed: 0.021 s
% 0.58/0.77 % (9205)Instructions burned: 34 (million)
% 0.58/0.77 % (9205)------------------------------
% 0.58/0.77 % (9205)------------------------------
% 0.58/0.77 % (9214)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 Vampire---4 for (2996ds/50Mi)
% 0.58/0.77 % (9213)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.77 % (9215)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.77 % (9210)First to succeed.
% 0.58/0.77 % (9216)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 Vampire---4 for (2996ds/52Mi)
% 0.58/0.77 % (9210)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9204"
% 0.58/0.77 % (9210)Refutation found. Thanks to Tanya!
% 0.58/0.77 % SZS status Theorem for Vampire---4
% 0.58/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77 % (9210)------------------------------
% 0.58/0.77 % (9210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (9210)Termination reason: Refutation
% 0.58/0.77
% 0.58/0.77 % (9210)Memory used [KB]: 1421
% 0.58/0.77 % (9210)Time elapsed: 0.026 s
% 0.58/0.77 % (9210)Instructions burned: 41 (million)
% 0.58/0.77 % (9204)Success in time 0.399 s
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------