TSTP Solution File: LAT347+3 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LAT347+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 10:34:54 EDT 2024
% Result : Theorem 9.15s 2.26s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 118 ( 17 unt; 0 def)
% Number of atoms : 424 ( 17 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 519 ( 213 ~; 212 |; 59 &)
% ( 20 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38490,plain,
$false,
inference(avatar_sat_refutation,[],[f34753,f35054,f35218,f35221,f35304,f35327,f35329,f35334,f35338,f35345,f35464,f35909,f36183,f36196,f36206,f37801,f38489]) ).
fof(f38489,plain,
( spl1277_24
| spl1277_1
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_6 ),
inference(avatar_split_clause,[],[f38488,f34755,f34746,f34742,f34738,f34734,f34853]) ).
fof(f34853,plain,
( spl1277_24
<=> m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_24])]) ).
fof(f34734,plain,
( spl1277_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_1])]) ).
fof(f34738,plain,
( spl1277_2
<=> l1_orders_2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_2])]) ).
fof(f34742,plain,
( spl1277_3
<=> v3_orders_2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_3])]) ).
fof(f34746,plain,
( spl1277_4
<=> v2_orders_2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_4])]) ).
fof(f34755,plain,
( spl1277_6
<=> m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_6])]) ).
fof(f38488,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| spl1277_1
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_6 ),
inference(subsumption_resolution,[],[f38487,f34735]) ).
fof(f34735,plain,
( ~ v3_struct_0(sK0)
| spl1277_1 ),
inference(avatar_component_clause,[],[f34734]) ).
fof(f38487,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| v3_struct_0(sK0)
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_6 ),
inference(subsumption_resolution,[],[f38486,f34739]) ).
fof(f34739,plain,
( l1_orders_2(sK0)
| ~ spl1277_2 ),
inference(avatar_component_clause,[],[f34738]) ).
fof(f38486,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_6 ),
inference(subsumption_resolution,[],[f38485,f34743]) ).
fof(f34743,plain,
( v3_orders_2(sK0)
| ~ spl1277_3 ),
inference(avatar_component_clause,[],[f34742]) ).
fof(f38485,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_4
| ~ spl1277_6 ),
inference(subsumption_resolution,[],[f38056,f34747]) ).
fof(f34747,plain,
( v2_orders_2(sK0)
| ~ spl1277_4 ),
inference(avatar_component_clause,[],[f34746]) ).
fof(f38056,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_6 ),
inference(superposition,[],[f34756,f24841]) ).
fof(f24841,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f18560]) ).
fof(f18560,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f18559]) ).
fof(f18559,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17262]) ).
fof(f17262,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f34756,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK0)))))
| ~ spl1277_6 ),
inference(avatar_component_clause,[],[f34755]) ).
fof(f37801,plain,
( spl1277_52
| spl1277_1
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_14 ),
inference(avatar_split_clause,[],[f37800,f34794,f34746,f34742,f34738,f34734,f35070]) ).
fof(f35070,plain,
( spl1277_52
<=> v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_52])]) ).
fof(f34794,plain,
( spl1277_14
<=> v1_waybel_0(sK1,k2_yellow_1(k9_waybel_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_14])]) ).
fof(f37800,plain,
( v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| spl1277_1
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_14 ),
inference(subsumption_resolution,[],[f37799,f34735]) ).
fof(f37799,plain,
( v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| v3_struct_0(sK0)
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_14 ),
inference(subsumption_resolution,[],[f37798,f34739]) ).
fof(f37798,plain,
( v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_14 ),
inference(subsumption_resolution,[],[f37797,f34743]) ).
fof(f37797,plain,
( v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_4
| ~ spl1277_14 ),
inference(subsumption_resolution,[],[f37790,f34747]) ).
fof(f37790,plain,
( v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0)
| ~ spl1277_14 ),
inference(superposition,[],[f34795,f24841]) ).
fof(f34795,plain,
( v1_waybel_0(sK1,k2_yellow_1(k9_waybel_0(sK0)))
| ~ spl1277_14 ),
inference(avatar_component_clause,[],[f34794]) ).
fof(f36206,plain,
( ~ spl1277_51
| ~ spl1277_24
| ~ spl1277_52
| ~ spl1277_53
| ~ spl1277_54
| ~ spl1277_55
| ~ spl1277_56
| ~ spl1277_57
| spl1277_5 ),
inference(avatar_split_clause,[],[f36205,f34750,f35090,f35086,f35082,f35078,f35074,f35070,f34853,f35066]) ).
fof(f35066,plain,
( spl1277_51
<=> v2_orders_2(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_51])]) ).
fof(f35074,plain,
( spl1277_53
<=> l1_orders_2(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_53])]) ).
fof(f35078,plain,
( spl1277_54
<=> v1_yellow_0(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_54])]) ).
fof(f35082,plain,
( spl1277_55
<=> v1_lattice3(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_55])]) ).
fof(f35086,plain,
( spl1277_56
<=> v4_orders_2(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_56])]) ).
fof(f35090,plain,
( spl1277_57
<=> v3_orders_2(k7_lattice3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_57])]) ).
fof(f34750,plain,
( spl1277_5
<=> k3_tarski(sK1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_5])]) ).
fof(f36205,plain,
( ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v1_yellow_0(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v2_orders_2(k7_lattice3(sK0))
| spl1277_5 ),
inference(subsumption_resolution,[],[f36204,f23786]) ).
fof(f23786,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f18112]) ).
fof(f18112,plain,
? [X0] :
( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(flattening,[],[f18111]) ).
fof(f18111,plain,
? [X0] :
( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f17784]) ).
fof(f17784,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) ) ),
inference(negated_conjecture,[],[f17783]) ).
fof(f17783,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f36204,plain,
( ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v1_yellow_0(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| v1_xboole_0(sK1)
| ~ v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v2_orders_2(k7_lattice3(sK0))
| spl1277_5 ),
inference(trivial_inequality_removal,[],[f36197]) ).
fof(f36197,plain,
( k3_tarski(sK1) != k3_tarski(sK1)
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v1_yellow_0(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| v1_xboole_0(sK1)
| ~ v1_waybel_0(sK1,k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))))))
| ~ v2_orders_2(k7_lattice3(sK0))
| spl1277_5 ),
inference(superposition,[],[f34752,f23898]) ).
fof(f23898,plain,
! [X0,X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f18160]) ).
fof(f18160,plain,
! [X0] :
( ! [X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f18159]) ).
fof(f18159,plain,
! [X0] :
( ! [X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f16830]) ).
fof(f16830,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f34752,plain,
( k3_tarski(sK1) != k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),sK1)
| spl1277_5 ),
inference(avatar_component_clause,[],[f34750]) ).
fof(f36196,plain,
spl1277_6,
inference(avatar_split_clause,[],[f23788,f34755]) ).
fof(f23788,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK0))))),
inference(cnf_transformation,[],[f18112]) ).
fof(f36183,plain,
( ~ spl1277_1
| ~ spl1277_2 ),
inference(avatar_split_clause,[],[f36182,f34738,f34734]) ).
fof(f36182,plain,
( ~ v3_struct_0(sK0)
| ~ spl1277_2 ),
inference(subsumption_resolution,[],[f35289,f34739]) ).
fof(f35289,plain,
( ~ l1_orders_2(sK0)
| ~ v3_struct_0(sK0) ),
inference(resolution,[],[f23794,f24024]) ).
fof(f24024,plain,
! [X0] :
( ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f18243]) ).
fof(f18243,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18242]) ).
fof(f18242,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f23794,plain,
v2_lattice3(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f35909,plain,
spl1277_14,
inference(avatar_split_clause,[],[f23787,f34794]) ).
fof(f23787,plain,
v1_waybel_0(sK1,k2_yellow_1(k9_waybel_0(sK0))),
inference(cnf_transformation,[],[f18112]) ).
fof(f35464,plain,
( ~ spl1277_3
| ~ spl1277_2
| spl1277_57 ),
inference(avatar_split_clause,[],[f35450,f35090,f34738,f34742]) ).
fof(f35450,plain,
( ~ l1_orders_2(sK0)
| ~ v3_orders_2(sK0)
| spl1277_57 ),
inference(resolution,[],[f35092,f30199]) ).
fof(f30199,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f21611]) ).
fof(f21611,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(flattening,[],[f21610]) ).
fof(f21610,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(ennf_transformation,[],[f16205]) ).
fof(f16205,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0) )
=> ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35092,plain,
( ~ v3_orders_2(k7_lattice3(sK0))
| spl1277_57 ),
inference(avatar_component_clause,[],[f35090]) ).
fof(f35345,plain,
( ~ spl1277_4
| ~ spl1277_2
| spl1277_51 ),
inference(avatar_split_clause,[],[f35223,f35066,f34738,f34746]) ).
fof(f35223,plain,
( ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK0)
| spl1277_51 ),
inference(resolution,[],[f35068,f31996]) ).
fof(f31996,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f22488]) ).
fof(f22488,plain,
! [X0] :
( ( v2_orders_2(X0)
<=> v2_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16222]) ).
fof(f16222,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_orders_2(X0)
<=> v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35068,plain,
( ~ v2_orders_2(k7_lattice3(sK0))
| spl1277_51 ),
inference(avatar_component_clause,[],[f35066]) ).
fof(f35338,plain,
( ~ spl1277_2
| spl1277_53 ),
inference(avatar_split_clause,[],[f35251,f35074,f34738]) ).
fof(f35251,plain,
( ~ l1_orders_2(sK0)
| spl1277_53 ),
inference(resolution,[],[f35076,f30236]) ).
fof(f30236,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f21637]) ).
fof(f21637,plain,
! [X0] :
( ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11637]) ).
fof(f11637,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35076,plain,
( ~ l1_orders_2(k7_lattice3(sK0))
| spl1277_53 ),
inference(avatar_component_clause,[],[f35074]) ).
fof(f35334,plain,
( ~ spl1277_2
| spl1277_54 ),
inference(avatar_split_clause,[],[f35333,f35078,f34738]) ).
fof(f35333,plain,
( ~ l1_orders_2(sK0)
| spl1277_54 ),
inference(subsumption_resolution,[],[f35256,f23793]) ).
fof(f23793,plain,
v2_yellow_0(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f35256,plain,
( ~ l1_orders_2(sK0)
| ~ v2_yellow_0(sK0)
| spl1277_54 ),
inference(resolution,[],[f35080,f24203]) ).
fof(f24203,plain,
! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(cnf_transformation,[],[f18270]) ).
fof(f18270,plain,
! [X0] :
( ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(flattening,[],[f18269]) ).
fof(f18269,plain,
! [X0] :
( ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(ennf_transformation,[],[f16213]) ).
fof(f16213,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_yellow_0(X0) )
=> ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35080,plain,
( ~ v1_yellow_0(k7_lattice3(sK0))
| spl1277_54 ),
inference(avatar_component_clause,[],[f35078]) ).
fof(f35329,plain,
( ~ spl1277_2
| spl1277_55 ),
inference(avatar_split_clause,[],[f35328,f35082,f34738]) ).
fof(f35328,plain,
( ~ l1_orders_2(sK0)
| spl1277_55 ),
inference(subsumption_resolution,[],[f35270,f23794]) ).
fof(f35270,plain,
( ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| spl1277_55 ),
inference(resolution,[],[f35084,f30209]) ).
fof(f30209,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f21619]) ).
fof(f21619,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(flattening,[],[f21618]) ).
fof(f21618,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(ennf_transformation,[],[f16208]) ).
fof(f16208,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0) )
=> ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35084,plain,
( ~ v1_lattice3(k7_lattice3(sK0))
| spl1277_55 ),
inference(avatar_component_clause,[],[f35082]) ).
fof(f35327,plain,
( ~ spl1277_32
| ~ spl1277_2
| spl1277_56 ),
inference(avatar_split_clause,[],[f35290,f35086,f34738,f34904]) ).
fof(f34904,plain,
( spl1277_32
<=> v4_orders_2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1277_32])]) ).
fof(f35290,plain,
( ~ l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| spl1277_56 ),
inference(resolution,[],[f35088,f32000]) ).
fof(f32000,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f22490]) ).
fof(f22490,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> v4_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16223]) ).
fof(f16223,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v4_orders_2(X0)
<=> v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f35088,plain,
( ~ v4_orders_2(k7_lattice3(sK0))
| spl1277_56 ),
inference(avatar_component_clause,[],[f35086]) ).
fof(f35304,plain,
spl1277_2,
inference(avatar_split_clause,[],[f23795,f34738]) ).
fof(f23795,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f35221,plain,
spl1277_32,
inference(avatar_split_clause,[],[f23792,f34904]) ).
fof(f23792,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f35218,plain,
spl1277_3,
inference(avatar_split_clause,[],[f23791,f34742]) ).
fof(f23791,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f35054,plain,
spl1277_4,
inference(avatar_split_clause,[],[f23790,f34746]) ).
fof(f23790,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f18112]) ).
fof(f34753,plain,
( spl1277_1
| ~ spl1277_2
| ~ spl1277_3
| ~ spl1277_4
| ~ spl1277_5 ),
inference(avatar_split_clause,[],[f34726,f34750,f34746,f34742,f34738,f34734]) ).
fof(f34726,plain,
( k3_tarski(sK1) != k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK0))),sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[],[f23789,f24841]) ).
fof(f23789,plain,
k3_tarski(sK1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK0)),sK1),
inference(cnf_transformation,[],[f18112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT347+3 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jun 22 00:19:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.08 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.08 % (23896)lrs-1011_8:1_plsq=on:urr=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=235504:sd=2:ss=axioms:sil=256000:kws=inv_frequency:gsp=on_0 on theBenchmark for (2998ds/235504Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23901)lrs+1011_1:1_sil=8000:nicw=on:i=1004:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2998ds/1004Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23895)lrs-1002_12164383:1048576_anc=all_dependent:bsr=on:sil=256000:i=187735:bs=unit_only:awrs=decay:awrsf=132:ep=R:amm=off:uhcvi=on:abs=on_0 on theBenchmark for (2998ds/187735Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23898)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=886:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on theBenchmark for (2998ds/886Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23900)ott-1010_16:1_bsr=unit_only:sil=64000:sos=on:urr=on:sac=on:i=3480:sd=2:kws=inv_frequency:ins=4:ss=axioms:br=off_0 on theBenchmark for (2998ds/3480Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23899)lrs+1010_1:1_to=lpo:sil=8000:sos=on:spb=goal:rp=on:i=1785:nm=6:ss=included:sd=1_0 on theBenchmark for (2998ds/1785Mi)
% 1.14/1.09 % (23894)Running in auto input_syntax mode. Trying TPTP
% 1.14/1.09 % (23897)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1102:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/1102Mi)
% 4.41/1.58 % (23898)Instruction limit reached!
% 4.41/1.58 % (23898)------------------------------
% 4.41/1.58 % (23898)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.41/1.58 % (23898)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.41/1.58 % (23898)Termination reason: Time limit
% 4.41/1.58 % (23898)Termination phase: NewCNF
% 4.41/1.58
% 4.41/1.58 % (23898)Memory used [KB]: 62003
% 4.41/1.58 % (23898)Time elapsed: 0.496 s
% 4.41/1.58 % (23898)Instructions burned: 887 (million)
% 4.41/1.63 % (23901)Instruction limit reached!
% 4.41/1.63 % (23901)------------------------------
% 4.41/1.63 % (23901)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.41/1.63 % (23901)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.41/1.63 % (23901)Termination reason: Time limit
% 4.41/1.63 % (23901)Termination phase: Saturation
% 4.41/1.63
% 4.41/1.63 % (23901)Memory used [KB]: 33945
% 4.41/1.63 % (23901)Time elapsed: 0.541 s
% 4.41/1.63 % (23901)Instructions burned: 1004 (million)
% 4.96/1.64 % (23894)Running in auto input_syntax mode. Trying TPTP
% 4.96/1.64 % (23902)lrs+1002_1:4_sil=2000:fde=unused:plsq=on:plsqr=32,1:sos=on:bce=on:i=307:sd=1:ss=included:rawr=on_0 on theBenchmark for (2993ds/307Mi)
% 4.96/1.67 % (23897)Instruction limit reached!
% 4.96/1.67 % (23897)------------------------------
% 4.96/1.67 % (23897)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.96/1.67 % (23897)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.96/1.67 % (23897)Termination reason: Time limit
% 4.96/1.67 % (23897)Termination phase: Saturation
% 4.96/1.67
% 4.96/1.67 % (23897)Memory used [KB]: 31559
% 4.96/1.67 % (23897)Time elapsed: 0.582 s
% 4.96/1.67 % (23897)Instructions burned: 1102 (million)
% 5.29/1.68 % (23894)Running in auto input_syntax mode. Trying TPTP
% 5.29/1.68 % (23903)dis-1010_1:1_bsr=unit_only:to=lpo:sil=256000:fde=none:plsq=on:plsqr=205,29:sp=occurrence:sos=on:abs=on:newcnf=on:st=6.0:i=5784:sd=2:bd=off:amm=off:ss=axioms:rawr=on_0 on theBenchmark for (2993ds/5784Mi)
% 5.29/1.71 % (23894)Running in auto input_syntax mode. Trying TPTP
% 5.29/1.71 % (23904)lrs+2_1:1_sil=256000:plsq=on:plsqr=17685,131072:sos=on:lcm=reverse:i=311:av=off:ss=axioms:ep=RST:sd=2_0 on theBenchmark for (2992ds/311Mi)
% 5.74/1.78 % (23902)Instruction limit reached!
% 5.74/1.78 % (23902)------------------------------
% 5.74/1.78 % (23902)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.74/1.78 % (23902)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.74/1.78 % (23902)Termination reason: Time limit
% 5.74/1.78 % (23902)Termination phase: Saturation
% 5.74/1.78
% 5.74/1.78 % (23902)Memory used [KB]: 26501
% 5.74/1.78 % (23902)Time elapsed: 0.170 s
% 5.74/1.78 % (23902)Instructions burned: 309 (million)
% 5.97/1.82 % (23894)Running in auto input_syntax mode. Trying TPTP
% 5.97/1.82 % (23905)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=1126:ss=axioms:sgt=8_0 on theBenchmark for (2991ds/1126Mi)
% 6.01/1.89 % (23904)Instruction limit reached!
% 6.01/1.89 % (23904)------------------------------
% 6.01/1.89 % (23904)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.01/1.89 % (23904)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.01/1.89 % (23904)Termination reason: Time limit
% 6.01/1.89 % (23904)Termination phase: Saturation
% 6.01/1.89
% 6.01/1.89 % (23904)Memory used [KB]: 27149
% 6.01/1.89 % (23904)Time elapsed: 0.209 s
% 6.01/1.89 % (23904)Instructions burned: 311 (million)
% 6.55/1.93 % (23899)Instruction limit reached!
% 6.55/1.93 % (23899)------------------------------
% 6.55/1.93 % (23899)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.55/1.93 % (23899)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.55/1.93 % (23899)Termination reason: Time limit
% 6.55/1.93 % (23899)Termination phase: Saturation
% 6.55/1.93
% 6.55/1.93 % (23899)Memory used [KB]: 37355
% 6.55/1.93 % (23899)Time elapsed: 0.845 s
% 6.55/1.93 % (23899)Instructions burned: 1786 (million)
% 6.55/1.95 % (23894)Running in auto input_syntax mode. Trying TPTP
% 6.55/1.95 % (23906)ott-1011_11873131:1048576_drc=encompass:fde=unused:plsq=on:plsqr=3,59:sp=frequency:urr=on:nwc=13.753829265569435:sac=on:st=1.5:s2a=on:i=14494:sd=3:afp=10:bd=preordered:afq=2.759712924428805:ss=axioms:bs=on:sil=256000:kws=inv_frequency:bce=on:s2agt=8:sgt=8:awrs=decay:awrsf=80:nm=32:rawr=on_0 on theBenchmark for (2990ds/14494Mi)
% 6.78/1.99 % (23894)Running in auto input_syntax mode. Trying TPTP
% 6.78/1.99 % (23907)lrs+2_1:1_sil=2000:tgt=ground:sos=on:i=867:sd=1:ss=included:to=lpo:plsq=on:plsqr=32,1_0 on theBenchmark for (2989ds/867Mi)
% 9.15/2.25 % (23903)First to succeed.
% 9.15/2.25 % (23903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23894"
% 9.15/2.26 % (23894)Running in auto input_syntax mode. Trying TPTP
% 9.15/2.26 % (23903)Refutation found. Thanks to Tanya!
% 9.15/2.26 % SZS status Theorem for theBenchmark
% 9.15/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/2.26 % (23903)------------------------------
% 9.15/2.26 % (23903)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.15/2.26 % (23903)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.15/2.26 % (23903)Termination reason: Refutation
% 9.15/2.26
% 9.15/2.26 % (23903)Memory used [KB]: 42078
% 9.15/2.26 % (23903)Time elapsed: 0.591 s
% 9.15/2.26 % (23903)Instructions burned: 1152 (million)
% 9.15/2.26 % (23903)------------------------------
% 9.15/2.26 % (23903)------------------------------
% 9.15/2.26 % (23894)Success in time 1.338 s
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