TSTP Solution File: NUM469+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM469+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 : n005.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 08:12:18 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 9 unt; 0 def)
% Number of atoms : 171 ( 51 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 158 ( 54 ~; 53 |; 37 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(avatar_sat_refutation,[],[f197,f207,f217,f294,f297,f423,f425,f443,f451]) ).
fof(f451,plain,
( ~ spl4_6
| ~ spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f446,f194,f204,f214]) ).
fof(f214,plain,
( spl4_6
<=> aNaturalNumber0(sdtsldt0(xm,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f204,plain,
( spl4_4
<=> aNaturalNumber0(sdtsldt0(xn,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f194,plain,
( spl4_2
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f446,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ spl4_2 ),
inference(resolution,[],[f112,f249]) ).
fof(f249,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( sdtpldt0(xm,xn) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl4_2 ),
inference(superposition,[],[f176,f196]) ).
fof(f196,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f176,plain,
! [X0] :
( sdtasdt0(xl,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ doDivides0(xl,sdtpldt0(xm,xn))
& ! [X0] :
( sdtasdt0(xl,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ( doDivides0(xl,sdtpldt0(xm,xn))
| ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
( doDivides0(xl,sdtpldt0(xm,xn))
| ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m__) ).
fof(f112,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',mSortsB) ).
fof(f443,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f442,plain,
( $false
| ~ spl4_8 ),
inference(resolution,[],[f441,f167]) ).
fof(f167,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( doDivides0(xl,xn)
& xn = sdtasdt0(xl,sK2)
& aNaturalNumber0(sK2)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK3)
& aNaturalNumber0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f40,f107,f106]) ).
fof(f106,plain,
( ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xl,sK2)
& aNaturalNumber0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
=> ( xm = sdtasdt0(xl,sK3)
& aNaturalNumber0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( doDivides0(xl,xn)
& ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
( doDivides0(xl,xn)
& ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m__1240_04) ).
fof(f441,plain,
( ~ doDivides0(xl,xm)
| ~ spl4_8 ),
inference(superposition,[],[f177,f239]) ).
fof(f239,plain,
( xm = sdtpldt0(xm,xn)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl4_8
<=> xm = sdtpldt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f177,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f93]) ).
fof(f425,plain,
spl4_19,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| spl4_19 ),
inference(resolution,[],[f417,f163]) ).
fof(f163,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m__1240) ).
fof(f417,plain,
( ~ aNaturalNumber0(xm)
| spl4_19 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f415,plain,
( spl4_19
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f423,plain,
( ~ spl4_19
| spl4_8
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f422,f270,f238,f415]) ).
fof(f270,plain,
( spl4_12
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f422,plain,
( ~ aNaturalNumber0(xm)
| spl4_8
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( xm != xm
| ~ aNaturalNumber0(xm)
| spl4_8
| ~ spl4_12 ),
inference(superposition,[],[f407,f116]) ).
fof(f116,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m_AddZero) ).
fof(f407,plain,
( xm != sdtpldt0(xm,sz00)
| spl4_8
| ~ spl4_12 ),
inference(forward_demodulation,[],[f240,f272]) ).
fof(f272,plain,
( sz00 = xn
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f240,plain,
( xm != sdtpldt0(xm,xn)
| spl4_8 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f297,plain,
spl4_11,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| spl4_11 ),
inference(resolution,[],[f268,f168]) ).
fof(f168,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f268,plain,
( ~ aNaturalNumber0(sK2)
| spl4_11 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl4_11
<=> aNaturalNumber0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f294,plain,
( ~ spl4_11
| spl4_12
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f257,f190,f270,f266]) ).
fof(f190,plain,
( spl4_1
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f257,plain,
( sz00 = xn
| ~ aNaturalNumber0(sK2)
| ~ spl4_1 ),
inference(superposition,[],[f227,f123]) ).
fof(f123,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m_MulZero) ).
fof(f227,plain,
( xn = sdtasdt0(sz00,sK2)
| ~ spl4_1 ),
inference(superposition,[],[f169,f192]) ).
fof(f192,plain,
( sz00 = xl
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f169,plain,
xn = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f217,plain,
( spl4_1
| spl4_6 ),
inference(avatar_split_clause,[],[f171,f214,f190]) ).
fof(f171,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
| sz00 = xl ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
( sz00 != xl
=> ( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7k2UxQ4SdP/Vampire---4.8_4972',m__1298) ).
fof(f207,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f173,f204,f190]) ).
fof(f173,plain,
( aNaturalNumber0(sdtsldt0(xn,xl))
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f197,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f175,f194,f190]) ).
fof(f175,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM469+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 13:45:53 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 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.7k2UxQ4SdP/Vampire---4.8_4972
% 0.57/0.75 % (5155)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)
% 0.57/0.75 % (5162)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)
% 0.57/0.75 % (5157)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (5156)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)
% 0.57/0.75 % (5158)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)
% 0.57/0.75 % (5159)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)
% 0.57/0.75 % (5160)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)
% 0.57/0.75 % (5161)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)
% 0.60/0.76 % (5156)First to succeed.
% 0.60/0.76 % (5157)Also succeeded, but the first one will report.
% 0.60/0.76 % (5155)Instruction limit reached!
% 0.60/0.76 % (5155)------------------------------
% 0.60/0.76 % (5155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5155)Termination reason: Unknown
% 0.60/0.76 % (5156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5136"
% 0.60/0.76 % (5155)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (5155)Memory used [KB]: 1356
% 0.60/0.76 % (5155)Time elapsed: 0.012 s
% 0.60/0.76 % (5155)Instructions burned: 37 (million)
% 0.60/0.76 % (5155)------------------------------
% 0.60/0.76 % (5155)------------------------------
% 0.60/0.76 % (5156)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (5156)------------------------------
% 0.60/0.76 % (5156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5156)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (5156)Memory used [KB]: 1200
% 0.60/0.76 % (5156)Time elapsed: 0.010 s
% 0.60/0.76 % (5156)Instructions burned: 14 (million)
% 0.60/0.76 % (5136)Success in time 0.385 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------