TSTP Solution File: SWC416-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.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 : Thu Aug 31 20:59:49 EDT 2023
% Result : Unsatisfiable 0.24s 0.47s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 88 ( 9 unt; 0 def)
% Number of atoms : 264 ( 47 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 339 ( 163 ~; 166 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f715,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f256,f257,f279,f336,f423,f477,f694,f701,f708,f714]) ).
fof(f714,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f712,f241]) ).
fof(f241,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f712,plain,
( ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(forward_demodulation,[],[f278,f518]) ).
fof(f518,plain,
( hd(sk2) = sk5
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f517,f241]) ).
fof(f517,plain,
( hd(sk2) = sk5
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f480,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_1) ).
fof(f480,plain,
( hd(sk2) = sk5
| ~ ssList(sk1)
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f97,f319]) ).
fof(f319,plain,
( sk2 = cons(sk5,sk1)
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f318,f241]) ).
fof(f318,plain,
( sk2 = cons(sk5,sk1)
| ~ ssItem(sk5)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f296,f186]) ).
fof(f296,plain,
( sk2 = cons(sk5,sk1)
| ~ ssList(sk1)
| ~ ssItem(sk5)
| ~ spl0_3 ),
inference(superposition,[],[f255,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause120) ).
fof(f255,plain,
( sk2 = app(cons(sk5,nil),sk1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_3
<=> sk2 = app(cons(sk5,nil),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause97) ).
fof(f278,plain,
( ~ ssItem(hd(sk2))
| spl0_7 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_7
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f708,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f707,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f706,f330]) ).
fof(f330,plain,
( ssList(cons(sk5,nil))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_11
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f706,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(forward_demodulation,[],[f274,f518]) ).
fof(f274,plain,
( ~ ssList(cons(hd(sk2),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl0_6
<=> ssList(cons(hd(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f701,plain,
( spl0_5
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| spl0_5
| spl0_12 ),
inference(subsumption_resolution,[],[f699,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause8) ).
fof(f699,plain,
( ~ ssList(nil)
| spl0_5
| spl0_12 ),
inference(subsumption_resolution,[],[f698,f335]) ).
fof(f335,plain,
( nil != sk2
| spl0_12 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl0_12
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f698,plain,
( nil = sk2
| ~ ssList(nil)
| spl0_5 ),
inference(subsumption_resolution,[],[f696,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_2) ).
fof(f696,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil)
| spl0_5 ),
inference(resolution,[],[f270,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause100) ).
fof(f270,plain,
( ~ neq(nil,sk2)
| spl0_5 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl0_5
<=> neq(nil,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f694,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f692,f241]) ).
fof(f692,plain,
( ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f691,f518]) ).
fof(f691,plain,
( ~ ssItem(hd(sk2))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f690,f319]) ).
fof(f690,plain,
( sk2 != cons(sk5,sk1)
| ~ ssItem(hd(sk2))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f452,f518]) ).
fof(f452,plain,
( sk2 != cons(hd(sk2),sk1)
| ~ ssItem(hd(sk2))
| spl0_4 ),
inference(subsumption_resolution,[],[f450,f186]) ).
fof(f450,plain,
( sk2 != cons(hd(sk2),sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk2))
| spl0_4 ),
inference(superposition,[],[f266,f120]) ).
fof(f266,plain,
( sk2 != app(cons(hd(sk2),nil),sk1)
| spl0_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl0_4
<=> sk2 = app(cons(hd(sk2),nil),sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f477,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f475,f11]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause11) ).
fof(f475,plain,
( singletonP(nil)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f474,f327]) ).
fof(f327,plain,
( nil = cons(sk5,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl0_10
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f474,plain,
( singletonP(cons(sk5,nil))
| ~ spl0_1
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f472,f241]) ).
fof(f472,plain,
( ~ ssItem(sk5)
| singletonP(cons(sk5,nil))
| ~ spl0_11 ),
inference(resolution,[],[f330,f211]) ).
fof(f211,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause116) ).
fof(f423,plain,
( ~ spl0_1
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl0_1
| spl0_11 ),
inference(subsumption_resolution,[],[f421,f241]) ).
fof(f421,plain,
( ~ ssItem(sk5)
| spl0_11 ),
inference(subsumption_resolution,[],[f420,f8]) ).
fof(f420,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_11 ),
inference(resolution,[],[f331,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause86) ).
fof(f331,plain,
( ~ ssList(cons(sk5,nil))
| spl0_11 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f336,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f323,f253,f333,f329,f325]) ).
fof(f323,plain,
( nil != sk2
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f301,f186]) ).
fof(f301,plain,
( nil != sk2
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ ssList(sk1)
| ~ spl0_3 ),
inference(superposition,[],[f118,f255]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',clause118) ).
fof(f279,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f262,f243,f276,f272,f268,f264]) ).
fof(f243,plain,
( spl0_2
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f262,plain,
( ~ neq(sk2,nil)
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(forward_demodulation,[],[f261,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_5) ).
fof(f261,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(subsumption_resolution,[],[f202,f187]) ).
fof(f202,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X7] :
( ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk2 != app(X7,sk1)
| cons(hd(sk2),nil) != X7 ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X8,X7] :
( ~ ssItem(X8)
| ~ ssList(sk2)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X8
| sk2 != app(X7,sk1)
| cons(X8,nil) != X7 ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X8)
| ~ ssList(X6)
| ~ ssList(X7)
| sk2 != X6
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X8
| app(X7,sk1) != X6
| cons(X8,nil) != X7 ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_12) ).
fof(f257,plain,
spl0_2,
inference(avatar_split_clause,[],[f236,f243]) ).
fof(f236,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_7) ).
fof(f256,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f251,f253,f243]) ).
fof(f251,plain,
( sk2 = app(cons(sk5,nil),sk1)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f250,f190]) ).
fof(f250,plain,
( sk4 = app(cons(sk5,nil),sk1)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f249,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_6) ).
fof(f249,plain,
( ~ neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_14) ).
fof(f246,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f237,f243,f239]) ).
fof(f237,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% 0.16/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38 % Computer : n010.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon Aug 28 15:25:19 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.39 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ArzzjnsgIu/Vampire---4.8_19498
% 0.17/0.39 % (19607)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (19611)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.45 % (19609)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.45 % (19610)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.24/0.45 % (19613)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.24/0.45 % (19612)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.45 % (19608)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.24/0.45 % (19614)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.47 % (19614)First to succeed.
% 0.24/0.47 % (19614)Refutation found. Thanks to Tanya!
% 0.24/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.47 % (19614)------------------------------
% 0.24/0.47 % (19614)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.47 % (19614)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.47 % (19614)Termination reason: Refutation
% 0.24/0.47
% 0.24/0.47 % (19614)Memory used [KB]: 6012
% 0.24/0.47 % (19614)Time elapsed: 0.014 s
% 0.24/0.47 % (19614)------------------------------
% 0.24/0.47 % (19614)------------------------------
% 0.24/0.47 % (19607)Success in time 0.078 s
% 0.24/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------