TSTP Solution File: LAT300+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT300+2 : TPTP v8.1.2. Released v3.4.0.
% 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 : n017.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 : Sun May 5 07:23:15 EDT 2024
% Result : Theorem 0.66s 0.84s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 13 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 238 ( 96 ~; 82 |; 41 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3802,plain,
$false,
inference(avatar_sat_refutation,[],[f3403,f3801]) ).
fof(f3801,plain,
~ spl51_1,
inference(avatar_contradiction_clause,[],[f3800]) ).
fof(f3800,plain,
( $false
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f3799,f3184]) ).
fof(f3184,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f3065]) ).
fof(f3065,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f553,f3064]) ).
fof(f3064,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f553,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',existence_m1_subset_1) ).
fof(f3799,plain,
( ~ m1_subset_1(sK6(sK3),sK3)
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f3797,f3423]) ).
fof(f3423,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f3422,f3169]) ).
fof(f3169,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f3058]) ).
fof(f3058,plain,
( ! [X2] :
( ~ r2_hidden(X2,sK3)
| ~ m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_filter_2(sK3,sK2)
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f2962,f3057,f3056]) ).
fof(f3056,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_filter_2(X1,sK2) )
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f3057,plain,
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_filter_2(X1,sK2) )
=> ( ! [X2] :
( ~ r2_hidden(X2,sK3)
| ~ m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_filter_2(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f2962,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f2961]) ).
fof(f2961,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2949]) ).
fof(f2949,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f2948]) ).
fof(f2948,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',t24_filter_2) ).
fof(f3422,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f3421,f3170]) ).
fof(f3170,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f3058]) ).
fof(f3421,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl51_1 ),
inference(subsumption_resolution,[],[f3420,f3171]) ).
fof(f3171,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f3058]) ).
fof(f3420,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl51_1 ),
inference(resolution,[],[f3385,f3321]) ).
fof(f3321,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f3043]) ).
fof(f3043,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f3042]) ).
fof(f3042,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f2857,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',dt_m2_lattice4) ).
fof(f3385,plain,
( m2_lattice4(sK3,sK2)
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f3384]) ).
fof(f3384,plain,
( spl51_1
<=> m2_lattice4(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f3797,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK6(sK3),sK3) ),
inference(resolution,[],[f3499,f3473]) ).
fof(f3473,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,sK3) ),
inference(resolution,[],[f3405,f3239]) ).
fof(f3239,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f2994]) ).
fof(f2994,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f2993]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f584]) ).
fof(f584,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',t4_subset) ).
fof(f3405,plain,
! [X0] :
( r2_hidden(X0,sK3)
| ~ m1_subset_1(X0,sK3) ),
inference(resolution,[],[f3399,f3230]) ).
fof(f3230,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f3104]) ).
fof(f3104,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f2989]) ).
fof(f2989,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f480,axiom,
! [X0,X1] :
( ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) )
& ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',d2_subset_1) ).
fof(f3399,plain,
~ v1_xboole_0(sK3),
inference(subsumption_resolution,[],[f3398,f3169]) ).
fof(f3398,plain,
( ~ v1_xboole_0(sK3)
| v3_struct_0(sK2) ),
inference(subsumption_resolution,[],[f3397,f3170]) ).
fof(f3397,plain,
( ~ v1_xboole_0(sK3)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(subsumption_resolution,[],[f3376,f3171]) ).
fof(f3376,plain,
( ~ v1_xboole_0(sK3)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f3172,f3216]) ).
fof(f3216,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f2984,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f2983]) ).
fof(f2983,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2873]) ).
fof(f2873,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OzXFVfRwmN/Vampire---4.8_17054',dt_m2_filter_2) ).
fof(f3172,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f3058]) ).
fof(f3499,plain,
~ m1_subset_1(sK6(sK3),u1_struct_0(sK2)),
inference(resolution,[],[f3450,f3184]) ).
fof(f3450,plain,
! [X0] :
( ~ m1_subset_1(X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(resolution,[],[f3405,f3173]) ).
fof(f3173,plain,
! [X2] :
( ~ r2_hidden(X2,sK3)
| ~ m1_subset_1(X2,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f3058]) ).
fof(f3403,plain,
spl51_1,
inference(avatar_split_clause,[],[f3402,f3384]) ).
fof(f3402,plain,
m2_lattice4(sK3,sK2),
inference(subsumption_resolution,[],[f3401,f3169]) ).
fof(f3401,plain,
( m2_lattice4(sK3,sK2)
| v3_struct_0(sK2) ),
inference(subsumption_resolution,[],[f3400,f3170]) ).
fof(f3400,plain,
( m2_lattice4(sK3,sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(subsumption_resolution,[],[f3377,f3171]) ).
fof(f3377,plain,
( m2_lattice4(sK3,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f3172,f3217]) ).
fof(f3217,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f2984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT300+2 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 11:42:52 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.OzXFVfRwmN/Vampire---4.8_17054
% 0.58/0.82 % (17169)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)
% 0.58/0.82 % (17162)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)
% 0.58/0.82 % (17164)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.82 % (17163)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)
% 0.58/0.83 % (17167)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 % (17166)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 % (17165)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)
% 0.66/0.84 % (17169)First to succeed.
% 0.66/0.84 % (17169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17161"
% 0.66/0.84 % (17169)Refutation found. Thanks to Tanya!
% 0.66/0.84 % SZS status Theorem for Vampire---4
% 0.66/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.84 % (17169)------------------------------
% 0.66/0.84 % (17169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84 % (17169)Termination reason: Refutation
% 0.66/0.84
% 0.66/0.84 % (17169)Memory used [KB]: 4458
% 0.66/0.84 % (17169)Time elapsed: 0.018 s
% 0.66/0.84 % (17169)Instructions burned: 49 (million)
% 0.66/0.84 % (17161)Success in time 0.462 s
% 0.66/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------