TSTP Solution File: SWC313-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC313-1 : 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 : n004.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 04:01:20 EDT 2024
% Result : Unsatisfiable 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 68 ( 8 unt; 0 def)
% Number of atoms : 188 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 228 ( 108 ~; 109 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f494,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f258,f259,f287,f293,f295,f414,f418,f446,f449,f476,f493]) ).
fof(f493,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f492,f473,f395,f256,f375,f379]) ).
fof(f379,plain,
( spl0_13
<=> ssList(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f375,plain,
( spl0_12
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f256,plain,
( spl0_6
<=> ! [X6,X7] :
( sk3 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(cons(X6,nil),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f395,plain,
( spl0_15
<=> sk4 = app(cons(hd(sk4),nil),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f473,plain,
( spl0_23
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f492,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f491]) ).
fof(f491,plain,
( sk3 != sk3
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ spl0_6
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f489,f475]) ).
fof(f475,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f489,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| sk3 != app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
( sk4 != sk4
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| sk3 != app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f257,f396]) ).
fof(f396,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f257,plain,
( ! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,nil)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f476,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_23
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f471,f395,f473,f379,f375]) ).
fof(f471,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f467]) ).
fof(f467,plain,
( sk4 != sk4
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ spl0_15 ),
inference(superposition,[],[f192,f396]) ).
fof(f192,axiom,
! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| sk3 = app(X7,cons(X6,nil))
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_7) ).
fof(f449,plain,
( ~ spl0_8
| spl0_4
| spl0_20 ),
inference(avatar_split_clause,[],[f448,f443,f246,f269]) ).
fof(f269,plain,
( spl0_8
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f246,plain,
( spl0_4
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f443,plain,
( spl0_20
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f448,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_20 ),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f447,plain,
( sk4 != sk4
| nil = sk4
| ~ ssList(sk4)
| spl0_20 ),
inference(superposition,[],[f445,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause104) ).
fof(f445,plain,
( sk4 != cons(hd(sk4),tl(sk4))
| spl0_20 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_15 ),
inference(avatar_split_clause,[],[f441,f395,f443,f379,f375]) ).
fof(f441,plain,
( sk4 != cons(hd(sk4),tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| spl0_15 ),
inference(superposition,[],[f397,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause120) ).
fof(f397,plain,
( sk4 != app(cons(hd(sk4),nil),tl(sk4))
| spl0_15 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f418,plain,
( ~ spl0_8
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f415,f375,f246,f269]) ).
fof(f415,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_12 ),
inference(resolution,[],[f377,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause76) ).
fof(f377,plain,
( ~ ssItem(hd(sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f414,plain,
( ~ spl0_8
| spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f413,f379,f246,f269]) ).
fof(f413,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_13 ),
inference(resolution,[],[f381,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause75) ).
fof(f381,plain,
( ~ ssList(tl(sk4))
| spl0_13 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f295,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f279,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause8) ).
fof(f279,plain,
( ~ ssList(nil)
| spl0_10 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_10
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f293,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f291,f251,f246,f277]) ).
fof(f251,plain,
( spl0_5
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f291,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f289,f232]) ).
fof(f232,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',clause115) ).
fof(f289,plain,
( neq(nil,nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f253,f247]) ).
fof(f247,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f253,plain,
( neq(sk4,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f287,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f271,f199]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_2) ).
fof(f271,plain,
( ~ ssList(sk4)
| spl0_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f259,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f202,f251,f242]) ).
fof(f242,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f202,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f196,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_6) ).
fof(f196,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_11) ).
fof(f258,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f256,f246]) ).
fof(f201,plain,
! [X6,X7] :
( sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sk4 ),
inference(definition_unfolding,[],[f195,f191,f190,f190]) ).
fof(f195,axiom,
! [X6,X7] :
( sk1 != app(X7,cons(X6,nil))
| sk2 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sk2 ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_10) ).
fof(f249,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f193,f246,f242]) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.rpGiYtncFX/Vampire---4.8_18015',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC313-1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.15/0.36 % Computer : n004.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 18:12:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 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.rpGiYtncFX/Vampire---4.8_18015
% 0.60/0.76 % (18200)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)
% 0.60/0.76 % (18195)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (18196)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)
% 0.60/0.76 % (18198)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)
% 0.60/0.76 % (18197)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)
% 0.60/0.76 % (18199)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 % (18194)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)
% 0.60/0.76 % (18200)Refutation not found, incomplete strategy% (18200)------------------------------
% 0.60/0.76 % (18200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (18200)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (18200)Memory used [KB]: 1161
% 0.60/0.76 % (18200)Time elapsed: 0.002 s
% 0.60/0.76 % (18200)Instructions burned: 3 (million)
% 0.60/0.76 % (18200)------------------------------
% 0.60/0.76 % (18200)------------------------------
% 0.60/0.76 % (18198)Refutation not found, incomplete strategy% (18198)------------------------------
% 0.60/0.76 % (18198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (18198)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (18198)Memory used [KB]: 1159
% 0.60/0.76 % (18198)Time elapsed: 0.003 s
% 0.60/0.76 % (18198)Instructions burned: 3 (million)
% 0.60/0.76 % (18198)------------------------------
% 0.60/0.76 % (18198)------------------------------
% 0.60/0.76 % (18193)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)
% 0.60/0.76 % (18203)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 (2996ds/55Mi)
% 0.60/0.76 % (18193)Refutation not found, incomplete strategy% (18193)------------------------------
% 0.60/0.76 % (18193)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (18193)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (18193)Memory used [KB]: 1194
% 0.60/0.76 % (18193)Time elapsed: 0.003 s
% 0.60/0.76 % (18193)Instructions burned: 6 (million)
% 0.60/0.76 % (18193)------------------------------
% 0.60/0.76 % (18193)------------------------------
% 0.61/0.76 % (18205)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 (2996ds/50Mi)
% 0.61/0.76 % (18207)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.77 % (18194)First to succeed.
% 0.61/0.77 % (18194)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (18194)------------------------------
% 0.61/0.77 % (18194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (18194)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (18194)Memory used [KB]: 1307
% 0.61/0.77 % (18194)Time elapsed: 0.015 s
% 0.61/0.77 % (18194)Instructions burned: 20 (million)
% 0.61/0.77 % (18194)------------------------------
% 0.61/0.77 % (18194)------------------------------
% 0.61/0.77 % (18178)Success in time 0.402 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------