TSTP Solution File: RNG108+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG108+4 : 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 : Wed May 1 03:41:56 EDT 2024
% Result : Theorem 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 177 ( 42 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 211 ( 90 ~; 81 |; 30 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f439,plain,
$false,
inference(avatar_sat_refutation,[],[f389,f418,f420,f422,f426,f430,f434,f436,f438]) ).
fof(f438,plain,
spl28_15,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| spl28_15 ),
inference(resolution,[],[f417,f173]) ).
fof(f173,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',mSortsC) ).
fof(f417,plain,
( ~ aElement0(sz00)
| spl28_15 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f415,plain,
( spl28_15
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f436,plain,
spl28_14,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| spl28_14 ),
inference(resolution,[],[f413,f261]) ).
fof(f261,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',m__2091) ).
fof(f413,plain,
( ~ aElement0(xb)
| spl28_14 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl28_14
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f434,plain,
( ~ spl28_14
| ~ spl28_12
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f433,f380,f399,f411]) ).
fof(f399,plain,
( spl28_12
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f380,plain,
( spl28_10
<=> ! [X0] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f433,plain,
( ~ aElement0(sz10)
| ~ aElement0(xb)
| ~ spl28_10 ),
inference(trivial_inequality_removal,[],[f431]) ).
fof(f431,plain,
( xb != xb
| ~ aElement0(sz10)
| ~ aElement0(xb)
| ~ spl28_10 ),
inference(superposition,[],[f381,f186]) ).
fof(f186,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',mMulUnit) ).
fof(f381,plain,
( ! [X0] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0) )
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f430,plain,
( ~ spl28_11
| ~ spl28_12
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f429,f368,f399,f395]) ).
fof(f395,plain,
( spl28_11
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f368,plain,
( spl28_8
<=> ! [X2] :
( xa != sdtasdt0(xa,X2)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f429,plain,
( ~ aElement0(sz10)
| ~ aElement0(xa)
| ~ spl28_8 ),
inference(trivial_inequality_removal,[],[f427]) ).
fof(f427,plain,
( xa != xa
| ~ aElement0(sz10)
| ~ aElement0(xa)
| ~ spl28_8 ),
inference(superposition,[],[f369,f186]) ).
fof(f369,plain,
( ! [X2] :
( xa != sdtasdt0(xa,X2)
| ~ aElement0(X2) )
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f426,plain,
( ~ spl28_11
| ~ spl28_15
| ~ spl28_7 ),
inference(avatar_split_clause,[],[f425,f364,f415,f395]) ).
fof(f364,plain,
( spl28_7
<=> ! [X3] :
( sz00 != sdtasdt0(xa,X3)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f425,plain,
( ~ aElement0(sz00)
| ~ aElement0(xa)
| ~ spl28_7 ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f424,plain,
( sz00 != sz00
| ~ aElement0(sz00)
| ~ aElement0(xa)
| ~ spl28_7 ),
inference(superposition,[],[f365,f192]) ).
fof(f192,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',mMulZero) ).
fof(f365,plain,
( ! [X3] :
( sz00 != sdtasdt0(xa,X3)
| ~ aElement0(X3) )
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f422,plain,
spl28_12,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| spl28_12 ),
inference(resolution,[],[f401,f174]) ).
fof(f174,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',mSortsC_01) ).
fof(f401,plain,
( ~ aElement0(sz10)
| spl28_12 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f420,plain,
spl28_11,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| spl28_11 ),
inference(resolution,[],[f397,f260]) ).
fof(f260,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f397,plain,
( ~ aElement0(xa)
| spl28_11 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f418,plain,
( ~ spl28_14
| ~ spl28_15
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f409,f373,f415,f411]) ).
fof(f373,plain,
( spl28_9
<=> ! [X1] :
( sz00 != sdtasdt0(xb,X1)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f409,plain,
( ~ aElement0(sz00)
| ~ aElement0(xb)
| ~ spl28_9 ),
inference(trivial_inequality_removal,[],[f408]) ).
fof(f408,plain,
( sz00 != sz00
| ~ aElement0(sz00)
| ~ aElement0(xb)
| ~ spl28_9 ),
inference(superposition,[],[f374,f192]) ).
fof(f374,plain,
( ! [X1] :
( sz00 != sdtasdt0(xb,X1)
| ~ aElement0(X1) )
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f389,plain,
( spl28_7
| spl28_8
| spl28_9
| spl28_10 ),
inference(avatar_split_clause,[],[f301,f380,f373,f368,f364]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0)
| sz00 != sdtasdt0(xb,X1)
| ~ aElement0(X1)
| xa != sdtasdt0(xa,X2)
| ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X3)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ~ aElementOf0(xb,slsdtgt0(xb))
& ! [X0] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0) ) )
| ( ~ aElementOf0(sz00,slsdtgt0(xb))
& ! [X1] :
( sz00 != sdtasdt0(xb,X1)
| ~ aElement0(X1) ) )
| ( ~ aElementOf0(xa,slsdtgt0(xa))
& ! [X2] :
( xa != sdtasdt0(xa,X2)
| ~ aElement0(X2) ) )
| ( ~ aElementOf0(sz00,slsdtgt0(xa))
& ! [X3] :
( sz00 != sdtasdt0(xa,X3)
| ~ aElement0(X3) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ( ( aElementOf0(xb,slsdtgt0(xb))
| ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) ) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) ) )
& ( aElementOf0(xa,slsdtgt0(xa))
| ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) ) )
& ( aElementOf0(sz00,slsdtgt0(xa))
| ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ( ( aElementOf0(xb,slsdtgt0(xb))
| ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) ) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) ) )
& ( aElementOf0(xa,slsdtgt0(xa))
| ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) ) )
& ( aElementOf0(sz00,slsdtgt0(xa))
| ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
( ( aElementOf0(xb,slsdtgt0(xb))
| ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) ) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) ) )
& ( aElementOf0(xa,slsdtgt0(xa))
| ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) ) )
& ( aElementOf0(sz00,slsdtgt0(xa))
| ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jzlZQFxTU3/Vampire---4.8_19652',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG108+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % 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
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 17:35:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.jzlZQFxTU3/Vampire---4.8_19652
% 0.63/0.80 % (19773)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.80 % (19774)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 (2995ds/34Mi)
% 0.63/0.80 % (19770)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 (2995ds/34Mi)
% 0.63/0.80 % (19772)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80 % (19775)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.80 % (19771)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 (2995ds/51Mi)
% 0.63/0.80 % (19776)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 (2995ds/83Mi)
% 0.63/0.80 % (19777)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 (2995ds/56Mi)
% 0.63/0.81 % (19771)First to succeed.
% 0.63/0.81 % (19771)Refutation found. Thanks to Tanya!
% 0.63/0.81 % SZS status Theorem for Vampire---4
% 0.63/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81 % (19771)------------------------------
% 0.63/0.81 % (19771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (19771)Termination reason: Refutation
% 0.63/0.81
% 0.63/0.81 % (19771)Memory used [KB]: 1223
% 0.63/0.81 % (19771)Time elapsed: 0.009 s
% 0.63/0.81 % (19771)Instructions burned: 14 (million)
% 0.63/0.81 % (19771)------------------------------
% 0.63/0.81 % (19771)------------------------------
% 0.63/0.81 % (19763)Success in time 0.47 s
% 0.63/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------