TSTP Solution File: SWC243-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC243-1 : TPTP v8.1.2. Released v2.4.0.
% 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 04:00:49 EDT 2024
% Result : Unsatisfiable 0.66s 0.85s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 65 ( 10 unt; 0 def)
% Number of atoms : 230 ( 41 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 322 ( 157 ~; 156 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f500,plain,
$false,
inference(avatar_sat_refutation,[],[f278,f280,f293,f350,f461,f465,f467,f471,f490,f499]) ).
fof(f499,plain,
( ~ spl0_3
| spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f498,f488,f348,f452,f448,f444,f251]) ).
fof(f251,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f444,plain,
( spl0_21
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f448,plain,
( spl0_22
<=> ssItem(hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f452,plain,
( spl0_23
<=> ssList(tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f348,plain,
( spl0_19
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f488,plain,
( spl0_27
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f498,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_19
| ~ spl0_27 ),
inference(equality_resolution,[],[f496]) ).
fof(f496,plain,
( ! [X0] :
( sk3 != X0
| ~ ssList(tl(X0))
| ~ ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f495,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause104) ).
fof(f495,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f493,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f492,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause120) ).
fof(f492,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f491,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(resolution,[],[f489,f352]) ).
fof(f352,plain,
( ! [X0,X1] :
( ~ ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0) )
| ~ spl0_19 ),
inference(resolution,[],[f349,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause71) ).
fof(f349,plain,
( ! [X0,X1] :
( memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f489,plain,
( ! [X0,X1] :
( ssItem(sk5(X1,nil,X0))
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ spl0_4
| spl0_27
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f486,f469,f488,f255]) ).
fof(f255,plain,
( spl0_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f469,plain,
( spl0_24
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f486,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssList(nil) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f485]) ).
fof(f485,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl0_24 ),
inference(resolution,[],[f470,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause86) ).
fof(f470,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( ~ spl0_4
| spl0_24 ),
inference(avatar_split_clause,[],[f281,f469,f255]) ).
fof(f281,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f202,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause74) ).
fof(f202,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',co1_6) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',co1_9) ).
fof(f467,plain,
( ~ spl0_3
| spl0_21
| spl0_23 ),
inference(avatar_split_clause,[],[f466,f452,f444,f251]) ).
fof(f466,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_23 ),
inference(resolution,[],[f454,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause75) ).
fof(f454,plain,
( ~ ssList(tl(sk3))
| spl0_23 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f465,plain,
( ~ spl0_3
| spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f462,f448,f444,f251]) ).
fof(f462,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_22 ),
inference(resolution,[],[f450,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause76) ).
fof(f450,plain,
( ~ ssItem(hd(sk3))
| spl0_22 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f461,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( nil != nil
| ~ spl0_21 ),
inference(superposition,[],[f201,f446]) ).
fof(f446,plain,
( nil = sk3
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f201,plain,
nil != sk3,
inference(definition_unfolding,[],[f193,f191]) ).
fof(f193,axiom,
nil != sk1,
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',co1_8) ).
fof(f350,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f331,f291,f255,f348]) ).
fof(f291,plain,
( spl0_9
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f331,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f330,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_9 ),
inference(resolution,[],[f86,f292]) ).
fof(f292,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f293,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f282,f291,f255]) ).
fof(f282,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| memberP(nil,sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f203,f74]) ).
fof(f203,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f195,axiom,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',co1_10) ).
fof(f280,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f257,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',clause8) ).
fof(f257,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f278,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f253,f199]) ).
fof(f199,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.h5mw1b196k/Vampire---4.8_3532',co1_1) ).
fof(f253,plain,
( ~ ssList(sk3)
| spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC243-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % 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 : n029.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 : Tue Apr 30 18:40:05 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.37 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.h5mw1b196k/Vampire---4.8_3532
% 0.66/0.83 % (3738)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)
% 0.66/0.83 % (3735)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)
% 0.66/0.83 % (3737)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.83 % (3736)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)
% 0.66/0.83 % (3739)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)
% 0.66/0.83 % (3740)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)
% 0.66/0.83 % (3742)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)
% 0.66/0.83 % (3741)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)
% 0.66/0.83 % (3742)Refutation not found, incomplete strategy% (3742)------------------------------
% 0.66/0.83 % (3742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83 % (3742)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83
% 0.66/0.83 % (3742)Memory used [KB]: 1181
% 0.66/0.83 % (3742)Time elapsed: 0.005 s
% 0.66/0.83 % (3742)Instructions burned: 5 (million)
% 0.66/0.83 % (3742)------------------------------
% 0.66/0.83 % (3742)------------------------------
% 0.66/0.84 % (3735)Refutation not found, incomplete strategy% (3735)------------------------------
% 0.66/0.84 % (3735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84 % (3735)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84
% 0.66/0.84 % (3735)Memory used [KB]: 1200
% 0.66/0.84 % (3735)Time elapsed: 0.007 s
% 0.66/0.84 % (3735)Instructions burned: 10 (million)
% 0.66/0.84 % (3735)------------------------------
% 0.66/0.84 % (3735)------------------------------
% 0.66/0.84 % (3744)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 (2995ds/55Mi)
% 0.66/0.84 % (3745)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 (2995ds/50Mi)
% 0.66/0.84 % (3736)First to succeed.
% 0.66/0.85 % (3736)Refutation found. Thanks to Tanya!
% 0.66/0.85 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.85 % (3736)------------------------------
% 0.66/0.85 % (3736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.85 % (3736)Termination reason: Refutation
% 0.66/0.85
% 0.66/0.85 % (3736)Memory used [KB]: 1310
% 0.66/0.85 % (3736)Time elapsed: 0.015 s
% 0.66/0.85 % (3736)Instructions burned: 22 (million)
% 0.66/0.85 % (3736)------------------------------
% 0.66/0.85 % (3736)------------------------------
% 0.66/0.85 % (3696)Success in time 0.46 s
% 0.66/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------