TSTP Solution File: RNG071+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG071+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 : n016.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 02:39:17 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 151 ( 34 unt; 0 def)
% Number of atoms : 426 ( 31 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 480 ( 205 ~; 217 |; 36 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1321,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f302,f477,f768,f781,f791,f1233,f1248,f1263,f1294,f1301,f1320]) ).
fof(f1320,plain,
( ~ spl2_4
| spl2_18
| spl2_40 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| ~ spl2_4
| spl2_18
| spl2_40 ),
inference(subsumption_resolution,[],[f1318,f209]) ).
fof(f209,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f1318,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_4
| spl2_18
| spl2_40 ),
inference(subsumption_resolution,[],[f1316,f300]) ).
fof(f300,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl2_4
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f1316,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(sz0z00)
| spl2_18
| spl2_40 ),
inference(resolution,[],[f1305,f815]) ).
fof(f815,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,X0)
| ~ sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) )
| spl2_18 ),
inference(subsumption_resolution,[],[f814,f158]) ).
fof(f158,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f814,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_18 ),
inference(subsumption_resolution,[],[f812,f160]) ).
fof(f160,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f812,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xS)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_18 ),
inference(resolution,[],[f476,f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,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/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f476,plain,
( ~ sdtlseqdt0(xP,xS)
| spl2_18 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl2_18
<=> sdtlseqdt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f1305,plain,
( sdtlseqdt0(xP,sz0z00)
| spl2_40 ),
inference(subsumption_resolution,[],[f1304,f158]) ).
fof(f1304,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| spl2_40 ),
inference(subsumption_resolution,[],[f1298,f209]) ).
fof(f1298,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| spl2_40 ),
inference(resolution,[],[f903,f172]) ).
fof(f172,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,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(f903,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl2_40 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl2_40
<=> sdtlseqdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f1301,plain,
( ~ spl2_3
| spl2_17
| spl2_40 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl2_3
| spl2_17
| spl2_40 ),
inference(subsumption_resolution,[],[f1299,f296]) ).
fof(f296,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl2_3
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f1299,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_17
| spl2_40 ),
inference(subsumption_resolution,[],[f1296,f209]) ).
fof(f1296,plain,
( ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| spl2_17
| spl2_40 ),
inference(resolution,[],[f903,f603]) ).
fof(f603,plain,
( ! [X0] :
( sdtlseqdt0(X0,xP)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,xR) )
| spl2_17 ),
inference(subsumption_resolution,[],[f600,f158]) ).
fof(f600,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0)
| sdtlseqdt0(X0,xP)
| ~ aScalar0(xP) )
| spl2_17 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f597,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0)
| sdtlseqdt0(X0,xP)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl2_17 ),
inference(resolution,[],[f490,f172]) ).
fof(f490,plain,
( ! [X0] :
( ~ sdtlseqdt0(xP,X0)
| ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) )
| spl2_17 ),
inference(subsumption_resolution,[],[f489,f158]) ).
fof(f489,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_17 ),
inference(subsumption_resolution,[],[f487,f156]) ).
fof(f156,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f487,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(xP,X0)
| ~ aScalar0(xR)
| ~ aScalar0(X0)
| ~ aScalar0(xP) )
| spl2_17 ),
inference(resolution,[],[f472,f173]) ).
fof(f472,plain,
( ~ sdtlseqdt0(xP,xR)
| spl2_17 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f470,plain,
( spl2_17
<=> sdtlseqdt0(xP,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f1294,plain,
( ~ spl2_40
| spl2_2 ),
inference(avatar_split_clause,[],[f1293,f237,f902]) ).
fof(f237,plain,
( spl2_2
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f1293,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl2_2 ),
inference(subsumption_resolution,[],[f1285,f158]) ).
fof(f1285,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| spl2_2 ),
inference(duplicate_literal_removal,[],[f1282]) ).
fof(f1282,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_2 ),
inference(resolution,[],[f239,f206]) ).
fof(f206,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f239,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl2_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1263,plain,
( ~ spl2_48
| spl2_4
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f1262,f1166,f299,f1162]) ).
fof(f1162,plain,
( spl2_48
<=> sdtlseqdt0(sz0z00,sdtasdt0(xA,xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f1166,plain,
( spl2_49
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
fof(f1262,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ spl2_49 ),
inference(subsumption_resolution,[],[f1261,f218]) ).
fof(f218,plain,
aScalar0(sdtasdt0(xA,xA)),
inference(forward_demodulation,[],[f150,f151]) ).
fof(f151,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f150,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f1261,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasdt0(xA,xA))
| ~ spl2_49 ),
inference(subsumption_resolution,[],[f1260,f216]) ).
fof(f216,plain,
aScalar0(sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f146,f147]) ).
fof(f147,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f146,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f1260,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasasdt0(xq,xq))
| ~ aScalar0(sdtasdt0(xA,xA))
| ~ spl2_49 ),
inference(subsumption_resolution,[],[f1110,f1167]) ).
fof(f1167,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1110,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| ~ aScalar0(sdtasasdt0(xq,xq))
| ~ aScalar0(sdtasdt0(xA,xA)) ),
inference(superposition,[],[f207,f226]) ).
fof(f226,plain,
xS = sdtasdt0(sdtasdt0(xA,xA),sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f225,f151]) ).
fof(f225,plain,
xS = sdtasdt0(xF,sdtasasdt0(xq,xq)),
inference(forward_demodulation,[],[f161,f147]) ).
fof(f161,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f1248,plain,
spl2_48,
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| spl2_48 ),
inference(subsumption_resolution,[],[f1242,f140]) ).
fof(f140,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f1242,plain,
( ~ aScalar0(xA)
| spl2_48 ),
inference(resolution,[],[f1164,f205]) ).
fof(f205,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f1164,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
| spl2_48 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1233,plain,
spl2_49,
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| spl2_49 ),
inference(subsumption_resolution,[],[f1226,f136]) ).
fof(f136,plain,
aVector0(xq),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f1226,plain,
( ~ aVector0(xq)
| spl2_49 ),
inference(resolution,[],[f1168,f177]) ).
fof(f177,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f1168,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
| spl2_49 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f791,plain,
( ~ spl2_31
| spl2_3
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f790,f750,f295,f746]) ).
fof(f746,plain,
( spl2_31
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f750,plain,
( spl2_32
<=> sdtlseqdt0(sz0z00,sdtasdt0(xB,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f790,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ spl2_32 ),
inference(subsumption_resolution,[],[f789,f215]) ).
fof(f215,plain,
aScalar0(sdtasasdt0(xp,xp)),
inference(forward_demodulation,[],[f144,f145]) ).
fof(f145,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f144,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f789,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasasdt0(xp,xp))
| ~ spl2_32 ),
inference(subsumption_resolution,[],[f788,f219]) ).
fof(f219,plain,
aScalar0(sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f152,f153]) ).
fof(f153,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f152,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f788,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasdt0(xB,xB))
| ~ aScalar0(sdtasasdt0(xp,xp))
| ~ spl2_32 ),
inference(subsumption_resolution,[],[f717,f751]) ).
fof(f751,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f717,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| ~ aScalar0(sdtasdt0(xB,xB))
| ~ aScalar0(sdtasasdt0(xp,xp)) ),
inference(superposition,[],[f207,f222]) ).
fof(f222,plain,
xR = sdtasdt0(sdtasasdt0(xp,xp),sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f221,f145]) ).
fof(f221,plain,
xR = sdtasdt0(xC,sdtasdt0(xB,xB)),
inference(forward_demodulation,[],[f157,f153]) ).
fof(f157,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f781,plain,
spl2_31,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| spl2_31 ),
inference(subsumption_resolution,[],[f774,f132]) ).
fof(f132,plain,
aVector0(xp),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f774,plain,
( ~ aVector0(xp)
| spl2_31 ),
inference(resolution,[],[f748,f177]) ).
fof(f748,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
| spl2_31 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f768,plain,
spl2_32,
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f767,plain,
( $false
| spl2_32 ),
inference(subsumption_resolution,[],[f762,f142]) ).
fof(f142,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f762,plain,
( ~ aScalar0(xB)
| spl2_32 ),
inference(resolution,[],[f752,f205]) ).
fof(f752,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
| spl2_32 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f477,plain,
( ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f468,f474,f470]) ).
fof(f468,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR) ),
inference(subsumption_resolution,[],[f467,f156]) ).
fof(f467,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f466,f158]) ).
fof(f466,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xP)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f465,f160]) ).
fof(f465,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR) ),
inference(duplicate_literal_removal,[],[f462]) ).
fof(f462,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(resolution,[],[f168,f195]) ).
fof(f195,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,[],[f104]) ).
fof(f104,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,[],[f103]) ).
fof(f103,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/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f168,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/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(f302,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f293,f233,f299,f295]) ).
fof(f233,plain,
( spl2_1
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f293,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl2_1 ),
inference(subsumption_resolution,[],[f292,f156]) ).
fof(f292,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| spl2_1 ),
inference(subsumption_resolution,[],[f289,f160]) ).
fof(f289,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl2_1 ),
inference(resolution,[],[f235,f206]) ).
fof(f235,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f240,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f170,f237,f233]) ).
fof(f170,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,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/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % 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
% 0.16/0.38 % Computer : n016.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 12:09:23 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 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
% 0.60/0.76 % (7102)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)
% 0.60/0.76 % (7095)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)
% 0.60/0.76 % (7096)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)
% 0.60/0.76 % (7101)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)
% 0.60/0.77 % (7100)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)
% 0.60/0.77 % (7098)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)
% 0.60/0.77 % (7099)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)
% 0.60/0.77 % (7097)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.79 % (7099)Instruction limit reached!
% 0.60/0.79 % (7099)------------------------------
% 0.60/0.79 % (7099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7099)Termination reason: Unknown
% 0.60/0.79 % (7099)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (7099)Memory used [KB]: 1650
% 0.60/0.79 % (7099)Time elapsed: 0.019 s
% 0.60/0.79 % (7099)Instructions burned: 35 (million)
% 0.60/0.79 % (7099)------------------------------
% 0.60/0.79 % (7099)------------------------------
% 0.60/0.79 % (7102)Instruction limit reached!
% 0.60/0.79 % (7102)------------------------------
% 0.60/0.79 % (7102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7102)Termination reason: Unknown
% 0.60/0.79 % (7102)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (7102)Memory used [KB]: 1609
% 0.60/0.79 % (7102)Time elapsed: 0.033 s
% 0.60/0.79 % (7102)Instructions burned: 56 (million)
% 0.60/0.79 % (7102)------------------------------
% 0.60/0.79 % (7102)------------------------------
% 0.60/0.79 % (7103)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 (2995ds/55Mi)
% 0.60/0.79 % (7104)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 (2995ds/50Mi)
% 0.60/0.79 % (7100)First to succeed.
% 0.60/0.80 % (7100)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7087"
% 0.60/0.80 % (7100)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for theBenchmark
% 0.60/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.80 % (7100)------------------------------
% 0.60/0.80 % (7100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (7100)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (7100)Memory used [KB]: 1437
% 0.60/0.80 % (7100)Time elapsed: 0.028 s
% 0.60/0.80 % (7100)Instructions burned: 45 (million)
% 0.60/0.80 % (7087)Success in time 0.413 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------