TSTP Solution File: SWC323-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC323-1 : 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 : n013.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 20:58:26 EDT 2023
% Result : Unsatisfiable 0.24s 0.45s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 67 ( 9 unt; 0 def)
% Number of atoms : 176 ( 47 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 222 ( 113 ~; 101 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 16 (; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f988,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f258,f263,f268,f328,f393,f638,f987]) ).
fof(f987,plain,
( ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f986,plain,
( $false
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f985,f248]) ).
fof(f248,plain,
( ssList(sk6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl3_3
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f985,plain,
( ~ ssList(sk6)
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f984,f750]) ).
fof(f750,plain,
( sk3 = app(sk6,sF0)
| ~ spl3_6 ),
inference(backward_demodulation,[],[f226,f262]) ).
fof(f262,plain,
( sk3 = sF1
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl3_6
<=> sk3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f226,plain,
app(sk6,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f984,plain,
( sk3 != app(sk6,sF0)
| ~ ssList(sk6)
| ~ spl3_7
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f979,f312]) ).
fof(f312,plain,
( ssList(sF0)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl3_10
<=> ssList(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f979,plain,
( ~ ssList(sF0)
| sk3 != app(sk6,sF0)
| ~ ssList(sk6)
| ~ spl3_7 ),
inference(trivial_inequality_removal,[],[f976]) ).
fof(f976,plain,
( sk4 != sk4
| ~ ssList(sF0)
| sk3 != app(sk6,sF0)
| ~ ssList(sk6)
| ~ spl3_7 ),
inference(superposition,[],[f200,f746]) ).
fof(f746,plain,
( sk4 = app(sF0,sk6)
| ~ spl3_7 ),
inference(backward_demodulation,[],[f228,f267]) ).
fof(f267,plain,
( sk4 = sF2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl3_7
<=> sk4 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f228,plain,
app(sF0,sk6) = sF2,
introduced(function_definition,[]) ).
fof(f200,plain,
! [X6,X7] :
( sk4 != app(X6,X7)
| ~ ssList(X6)
| sk3 != app(X7,X6)
| ~ ssList(X7) ),
inference(definition_unfolding,[],[f192,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_6) ).
fof(f192,axiom,
! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| sk1 != app(X7,X6)
| sk2 != app(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_7) ).
fof(f638,plain,
( ~ spl3_4
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f633,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',clause8) ).
fof(f633,plain,
( ~ ssList(nil)
| ~ spl3_4
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f632]) ).
fof(f632,plain,
( nil != nil
| ~ ssList(nil)
| ~ spl3_4
| ~ spl3_5 ),
inference(superposition,[],[f630,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',clause73) ).
fof(f630,plain,
( nil != app(nil,nil)
| ~ spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f629,f8]) ).
fof(f629,plain,
( nil != app(nil,nil)
| ~ ssList(nil)
| ~ spl3_4
| ~ spl3_5 ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
( ! [X0] :
( nil != X0
| nil != app(nil,X0)
| ~ ssList(X0) )
| ~ spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f582,f8]) ).
fof(f582,plain,
( ! [X0] :
( nil != X0
| nil != app(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl3_4
| ~ spl3_5 ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f575,plain,
( ! [X0] :
( nil != X0
| nil != app(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl3_4
| ~ spl3_5 ),
inference(superposition,[],[f397,f73]) ).
fof(f397,plain,
( ! [X6,X7] :
( nil != app(X7,X6)
| nil != app(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6) )
| ~ spl3_4
| ~ spl3_5 ),
inference(backward_demodulation,[],[f395,f253]) ).
fof(f253,plain,
( nil = sk3
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl3_4
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f395,plain,
( ! [X6,X7] :
( nil != app(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| sk3 != app(X7,X6) )
| ~ spl3_5 ),
inference(backward_demodulation,[],[f200,f256]) ).
fof(f256,plain,
( nil = sk4
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl3_5
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f393,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f392,f237,f255]) ).
fof(f237,plain,
( spl3_1
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f392,plain,
( nil = sk4
| spl3_1 ),
inference(subsumption_resolution,[],[f388,f199]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_2) ).
fof(f388,plain,
( nil = sk4
| ~ ssList(sk4)
| spl3_1 ),
inference(subsumption_resolution,[],[f383,f8]) ).
fof(f383,plain,
( ~ ssList(nil)
| nil = sk4
| ~ ssList(sk4)
| spl3_1 ),
inference(resolution,[],[f100,f239]) ).
fof(f239,plain,
( ~ neq(sk4,nil)
| spl3_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',clause100) ).
fof(f328,plain,
( ~ spl3_2
| spl3_10 ),
inference(avatar_split_clause,[],[f325,f311,f241]) ).
fof(f241,plain,
( spl3_2
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f325,plain,
( ssList(sF0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f324,f8]) ).
fof(f324,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f225]) ).
fof(f225,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',clause86) ).
fof(f268,plain,
( spl3_7
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f229,f237,f265]) ).
fof(f229,plain,
( ~ neq(sk4,nil)
| sk4 = sF2 ),
inference(definition_folding,[],[f196,f228,f225]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_11) ).
fof(f263,plain,
( spl3_6
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f227,f237,f260]) ).
fof(f227,plain,
( ~ neq(sk4,nil)
| sk3 = sF1 ),
inference(definition_folding,[],[f197,f226,f225]) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_12) ).
fof(f258,plain,
( spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f193,f255,f251]) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_8) ).
fof(f249,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f195,f246,f237]) ).
fof(f195,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_10) ).
fof(f244,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f194,f241,f237]) ).
fof(f194,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n013.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon Aug 28 17:33:32 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.kDJOLam7Rb/Vampire---4.8_8559
% 0.17/0.38 % (8758)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.42 % (8760)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.42 % (8762)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.42 % (8763)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)
% 0.24/0.44 % (8761)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)
% 0.24/0.44 % (8759)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)
% 0.24/0.44 % (8765)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)
% 0.24/0.44 % (8766)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.44 % (8762)First to succeed.
% 0.24/0.45 % (8762)Refutation found. Thanks to Tanya!
% 0.24/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.45 % (8762)------------------------------
% 0.24/0.45 % (8762)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.45 % (8762)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.45 % (8762)Termination reason: Refutation
% 0.24/0.45
% 0.24/0.45 % (8762)Memory used [KB]: 6140
% 0.24/0.45 % (8762)Time elapsed: 0.024 s
% 0.24/0.45 % (8762)------------------------------
% 0.24/0.45 % (8762)------------------------------
% 0.24/0.45 % (8758)Success in time 0.066 s
% 0.24/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------