TSTP Solution File: SET012-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET012-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n006.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 15:34:04 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 89 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 85 ( 37 ~; 44 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f957,plain,
$false,
inference(avatar_sat_refutation,[],[f600,f811,f829,f884,f948,f950,f956]) ).
fof(f956,plain,
( ~ spl0_12
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| ~ spl0_12
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f953,f810]) ).
fof(f810,plain,
( member(f1(as,cs),bs)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl0_25
<=> member(f1(as,cs),bs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f953,plain,
( ~ member(f1(as,cs),bs)
| ~ spl0_12 ),
inference(resolution,[],[f598,f191]) ).
fof(f191,plain,
! [X1] :
( ~ member(X1,cs)
| ~ member(X1,bs) ),
inference(superposition,[],[f31,f143]) ).
fof(f143,axiom,
complement(bs) = cs,
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',complement_of_b_is_c) ).
fof(f31,axiom,
! [X3,X0] :
( ~ member(X3,complement(X0))
| ~ member(X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',complement1) ).
fof(f598,plain,
( member(f1(as,cs),cs)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl0_12
<=> member(f1(as,cs),cs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f950,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f949,f597,f593]) ).
fof(f593,plain,
( spl0_11
<=> member(f1(as,cs),as) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f949,plain,
( member(f1(as,cs),as)
| spl0_12 ),
inference(subsumption_resolution,[],[f868,f144]) ).
fof(f144,axiom,
as != cs,
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',prove_a_equals_c) ).
fof(f868,plain,
( as = cs
| member(f1(as,cs),as)
| spl0_12 ),
inference(resolution,[],[f599,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| X0 = X1
| member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',extensionality2) ).
fof(f599,plain,
( ~ member(f1(as,cs),cs)
| spl0_12 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f948,plain,
( ~ spl0_11
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f944,f808,f593]) ).
fof(f944,plain,
( ~ member(f1(as,cs),as)
| ~ spl0_25 ),
inference(resolution,[],[f810,f190]) ).
fof(f190,plain,
! [X0] :
( ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[],[f31,f142]) ).
fof(f142,axiom,
complement(as) = bs,
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',complement_of_a_is_b) ).
fof(f884,plain,
( spl0_25
| spl0_12
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f883,f804,f597,f808]) ).
fof(f804,plain,
( spl0_24
<=> little_set(f1(as,cs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f883,plain,
( member(f1(as,cs),bs)
| spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f876,f805]) ).
fof(f805,plain,
( little_set(f1(as,cs))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f876,plain,
( member(f1(as,cs),bs)
| ~ little_set(f1(as,cs))
| spl0_12 ),
inference(resolution,[],[f234,f599]) ).
fof(f234,plain,
! [X1] :
( member(X1,cs)
| member(X1,bs)
| ~ little_set(X1) ),
inference(superposition,[],[f32,f143]) ).
fof(f32,axiom,
! [X3,X0] :
( member(X3,complement(X0))
| member(X3,X0)
| ~ little_set(X3) ),
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',complement2) ).
fof(f829,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| spl0_24 ),
inference(subsumption_resolution,[],[f824,f144]) ).
fof(f824,plain,
( as = cs
| spl0_24 ),
inference(resolution,[],[f806,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( little_set(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',extensionality1) ).
fof(f806,plain,
( ~ little_set(f1(as,cs))
| spl0_24 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f811,plain,
( ~ spl0_24
| spl0_25
| spl0_11 ),
inference(avatar_split_clause,[],[f794,f593,f808,f804]) ).
fof(f794,plain,
( member(f1(as,cs),bs)
| ~ little_set(f1(as,cs))
| spl0_11 ),
inference(resolution,[],[f233,f595]) ).
fof(f595,plain,
( ~ member(f1(as,cs),as)
| spl0_11 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f233,plain,
! [X0] :
( member(X0,as)
| member(X0,bs)
| ~ little_set(X0) ),
inference(superposition,[],[f32,f142]) ).
fof(f600,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f576,f597,f593]) ).
fof(f576,plain,
( ~ member(f1(as,cs),cs)
| ~ member(f1(as,cs),as) ),
inference(extensionality_resolution,[],[f4,f144]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| X0 = X1
| ~ member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206',extensionality3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n006.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 : Sat Aug 26 12:58:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.LOmaFzhnwH/Vampire---4.8_14206
% 0.21/0.37 % (14339)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (14341)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)
% 0.21/0.43 % (14351)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)
% 0.21/0.44 % (14347)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.44 % (14343)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.47 % (14345)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)
% 0.21/0.47 % (14350)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)
% 0.21/0.48 % (14347)First to succeed.
% 0.21/0.48 % (14347)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (14347)------------------------------
% 0.21/0.48 % (14347)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (14347)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (14347)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (14347)Memory used [KB]: 6396
% 0.21/0.48 % (14347)Time elapsed: 0.043 s
% 0.21/0.48 % (14347)------------------------------
% 0.21/0.48 % (14347)------------------------------
% 0.21/0.48 % (14339)Success in time 0.112 s
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------