TSTP Solution File: RNG099+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG099+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:41:52 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 72 ( 18 unt; 0 def)
% Number of atoms : 190 ( 3 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 176 ( 58 ~; 60 |; 32 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f423,plain,
$false,
inference(avatar_sat_refutation,[],[f214,f295,f300,f310,f312,f378,f380,f416,f418,f420,f422]) ).
fof(f422,plain,
( ~ spl13_27
| ~ spl13_18
| spl13_33 ),
inference(avatar_split_clause,[],[f421,f413,f297,f364]) ).
fof(f364,plain,
( spl13_27
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f297,plain,
( spl13_18
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f413,plain,
( spl13_33
<=> aElement0(sdtasdt0(xx,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f421,plain,
( ~ aElement0(xb)
| ~ aElement0(xx)
| spl13_33 ),
inference(resolution,[],[f415,f110]) ).
fof(f110,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',mSortsB_02) ).
fof(f415,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| spl13_33 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f420,plain,
( ~ spl13_23
| ~ spl13_17
| spl13_32 ),
inference(avatar_split_clause,[],[f419,f409,f292,f346]) ).
fof(f346,plain,
( spl13_23
<=> aElement0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f292,plain,
( spl13_17
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f409,plain,
( spl13_32
<=> aElement0(sdtasdt0(xy,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f419,plain,
( ~ aElement0(xa)
| ~ aElement0(xy)
| spl13_32 ),
inference(resolution,[],[f411,f110]) ).
fof(f411,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| spl13_32 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f418,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| spl13_3 ),
inference(resolution,[],[f213,f180]) ).
fof(f180,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1332) ).
fof(f213,plain,
( ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)
| spl13_3 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl13_3
<=> aElementOf0(sdtpldt0(xw,smndt0(xx)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f416,plain,
( ~ spl13_32
| ~ spl13_33
| spl13_1 ),
inference(avatar_split_clause,[],[f407,f200,f413,f409]) ).
fof(f200,plain,
( spl13_1
<=> aElement0(xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f407,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa)) ),
inference(superposition,[],[f109,f179]) ).
fof(f179,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1319) ).
fof(f109,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',mSortsB) ).
fof(f380,plain,
spl13_27,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl13_27 ),
inference(resolution,[],[f366,f174]) ).
fof(f174,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1217) ).
fof(f366,plain,
( ~ aElement0(xx)
| spl13_27 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f378,plain,
spl13_23,
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| spl13_23 ),
inference(resolution,[],[f348,f175]) ).
fof(f175,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f348,plain,
( ~ aElement0(xy)
| spl13_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f312,plain,
spl13_15,
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| spl13_15 ),
inference(resolution,[],[f285,f166]) ).
fof(f166,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1205) ).
fof(f285,plain,
( ~ aSet0(xJ)
| spl13_15 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl13_15
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f310,plain,
spl13_13,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| spl13_13 ),
inference(resolution,[],[f276,f162]) ).
fof(f162,plain,
aSet0(xI),
inference(cnf_transformation,[],[f78]) ).
fof(f276,plain,
( ~ aSet0(xI)
| spl13_13 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl13_13
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f300,plain,
( ~ spl13_15
| spl13_18 ),
inference(avatar_split_clause,[],[f270,f297,f283]) ).
fof(f270,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f129,f177]) ).
fof(f177,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( sz10 = sdtpldt0(xa,xb)
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1294) ).
fof(f129,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',mEOfElem) ).
fof(f295,plain,
( ~ spl13_13
| spl13_17 ),
inference(avatar_split_clause,[],[f269,f292,f274]) ).
fof(f269,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[],[f129,f176]) ).
fof(f176,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f214,plain,
( ~ spl13_1
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f208,f211,f200]) ).
fof(f208,plain,
( ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)
| ~ aElement0(xw) ),
inference(resolution,[],[f181,f182]) ).
fof(f182,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
| ( ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__) ).
fof(f181,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242',m__1409) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG099+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % 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
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 17:54:05 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.lhd4AdbUIH/Vampire---4.8_15242
% 0.56/0.75 % (15411)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)
% 0.56/0.75 % (15410)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)
% 0.56/0.75 % (15406)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (15407)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)
% 0.56/0.75 % (15408)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)
% 0.56/0.75 % (15405)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)
% 0.56/0.75 % (15409)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)
% 0.56/0.76 % (15404)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)
% 0.56/0.76 % (15405)First to succeed.
% 0.56/0.76 % (15406)Also succeeded, but the first one will report.
% 0.56/0.76 % (15405)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77 % (15405)------------------------------
% 0.56/0.77 % (15405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (15405)Termination reason: Refutation
% 0.56/0.77
% 0.56/0.77 % (15405)Memory used [KB]: 1190
% 0.56/0.77 % (15405)Time elapsed: 0.010 s
% 0.56/0.77 % (15405)Instructions burned: 12 (million)
% 0.56/0.77 % (15405)------------------------------
% 0.56/0.77 % (15405)------------------------------
% 0.56/0.77 % (15394)Success in time 0.384 s
% 0.56/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------