%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT313+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:49 AM UTC 2026
% Result : Theorem 9.17s 2.31s
% Output : Refutation 10.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 185 ( 27 unt; 13 def)
% Number of atoms : 874 ( 35 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1197 ( 508 ~; 591 |; 59 &)
% ( 16 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 14 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 91 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f12317,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f13532,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f13534,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f13536,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f13611,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f13612,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f13626,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f13630,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_filter_2) ).
fof(f13631,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& X1 = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_filter_2) ).
fof(f13632,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& X1 = u1_struct_0(X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13631]) ).
fof(f13722,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13532]) ).
fof(f13723,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13722]) ).
fof(f13726,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f13534]) ).
fof(f13727,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f13726]) ).
fof(f13730,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f13536]) ).
fof(f13731,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f13730]) ).
fof(f13867,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13611]) ).
fof(f13868,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13867]) ).
fof(f13869,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13612]) ).
fof(f13870,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13869]) ).
fof(f13897,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13626]) ).
fof(f13898,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13897]) ).
fof(f13905,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13630]) ).
fof(f13906,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13905]) ).
fof(f13907,plain,
? [X0] :
( ? [X1] :
( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
| u1_struct_0(X0) != X1 )
& v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13632]) ).
fof(f13908,plain,
? [X0] :
( ? [X1] :
( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
| u1_struct_0(X0) != X1 )
& v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13907]) ).
fof(f13916,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f13919,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12317]) ).
fof(f13920,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13919]) ).
fof(f13933,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f13934,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13933]) ).
fof(f13935,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f13936,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13935]) ).
fof(f14287,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f13731]) ).
fof(f14323,plain,
( ( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
| sK21 != u1_struct_0(sK20) )
& v14_lattices(sK20)
& r2_hidden(k6_lattices(sK20),sK21)
& m2_filter_2(sK21,sK20)
& ~ v3_struct_0(sK20)
& v10_lattices(sK20)
& l3_lattices(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X1,sK21)],[f13908]) ).
fof(f14455,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13723]) ).
fof(f14456,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13723]) ).
fof(f14458,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f13727]) ).
fof(f14460,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14287]) ).
fof(f14596,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13868]) ).
fof(f14597,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13870]) ).
fof(f14633,plain,
! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13898]) ).
fof(f14638,plain,
! [X0,X1] :
( u1_struct_0(X0) = k19_filter_2(X0,X1)
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13906]) ).
fof(f14640,plain,
l3_lattices(sK20),
inference(cnf_transformation,[],[f14323]) ).
fof(f14641,plain,
v10_lattices(sK20),
inference(cnf_transformation,[],[f14323]) ).
fof(f14642,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f14323]) ).
fof(f14643,plain,
m2_filter_2(sK21,sK20),
inference(cnf_transformation,[],[f14323]) ).
fof(f14644,plain,
r2_hidden(k6_lattices(sK20),sK21),
inference(cnf_transformation,[],[f14323]) ).
fof(f14645,plain,
v14_lattices(sK20),
inference(cnf_transformation,[],[f14323]) ).
fof(f14646,plain,
( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
| sK21 != u1_struct_0(sK20) ),
inference(cnf_transformation,[],[f14323]) ).
fof(f14660,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13916]) ).
fof(f14665,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13920]) ).
fof(f14679,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13934]) ).
fof(f14681,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13936]) ).
fof(f15343,definition,
( spl137_1
<=> v3_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl137_1])],[avatar_definition]) ).
fof(f15345,plain,
( ~ v3_struct_0(sK20)
| spl137_1 ),
inference(avatar_component_clause,[],[f15343]) ).
fof(f15346,plain,
~ spl137_1,
inference(avatar_split_clause,[],[f14642,f15343]) ).
fof(f15348,definition,
( spl137_2
<=> m2_filter_2(sK21,sK20) ),
introduced(definition,[new_symbols(definition,[spl137_2])],[avatar_definition]) ).
fof(f15350,plain,
( m2_filter_2(sK21,sK20)
| ~ spl137_2 ),
inference(avatar_component_clause,[],[f15348]) ).
fof(f15351,plain,
spl137_2,
inference(avatar_split_clause,[],[f14643,f15348]) ).
fof(f15352,plain,
( m2_lattice4(sK21,sK20)
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_2 ),
inference(resolution,[],[f15350,f14455]) ).
fof(f15353,plain,
( ~ v1_xboole_0(sK21)
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_2 ),
inference(resolution,[],[f15350,f14456]) ).
fof(f15386,plain,
( r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21)
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_2 ),
inference(resolution,[],[f15350,f14633]) ).
fof(f15389,plain,
( r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15386,f15345]) ).
fof(f15422,plain,
( ~ v1_xboole_0(sK21)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15353,f15345]) ).
fof(f15423,plain,
( m2_lattice4(sK21,sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15352,f15345]) ).
fof(f15425,plain,
( r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15389,f14641]) ).
fof(f15458,plain,
( ~ v1_xboole_0(sK21)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15422,f14641]) ).
fof(f15459,plain,
( m2_lattice4(sK21,sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15423,f14641]) ).
fof(f15461,plain,
( r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15425,f14640]) ).
fof(f15494,plain,
( ~ v1_xboole_0(sK21)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15458,f14640]) ).
fof(f15495,plain,
( m2_lattice4(sK21,sK20)
| spl137_1
| ~ spl137_2 ),
inference(forward_subsumption_resolution,[],[f15459,f14640]) ).
fof(f15513,definition,
( spl137_3
<=> sK21 = u1_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl137_3])],[avatar_definition]) ).
fof(f15515,plain,
( sK21 != u1_struct_0(sK20)
| spl137_3 ),
inference(avatar_component_clause,[],[f15513]) ).
fof(f15517,definition,
( spl137_4
<=> r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20)) ),
introduced(definition,[new_symbols(definition,[spl137_4])],[avatar_definition]) ).
fof(f15519,plain,
( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
| spl137_4 ),
inference(avatar_component_clause,[],[f15517]) ).
fof(f15520,plain,
( ~ spl137_3
| ~ spl137_4 ),
inference(avatar_split_clause,[],[f14646,f15517,f15513]) ).
fof(f15530,definition,
( spl137_5
<=> l3_lattices(sK20) ),
introduced(definition,[new_symbols(definition,[spl137_5])],[avatar_definition]) ).
fof(f15532,plain,
( l3_lattices(sK20)
| ~ spl137_5 ),
inference(avatar_component_clause,[],[f15530]) ).
fof(f15533,plain,
spl137_5,
inference(avatar_split_clause,[],[f14640,f15530]) ).
fof(f15535,definition,
( spl137_6
<=> v14_lattices(sK20) ),
introduced(definition,[new_symbols(definition,[spl137_6])],[avatar_definition]) ).
fof(f15537,plain,
( v14_lattices(sK20)
| ~ spl137_6 ),
inference(avatar_component_clause,[],[f15535]) ).
fof(f15538,plain,
spl137_6,
inference(avatar_split_clause,[],[f14645,f15535]) ).
fof(f15540,definition,
( spl137_7
<=> v10_lattices(sK20) ),
introduced(definition,[new_symbols(definition,[spl137_7])],[avatar_definition]) ).
fof(f15542,plain,
( v10_lattices(sK20)
| ~ spl137_7 ),
inference(avatar_component_clause,[],[f15540]) ).
fof(f15543,plain,
spl137_7,
inference(avatar_split_clause,[],[f14641,f15540]) ).
fof(f15545,definition,
( spl137_8
<=> r2_hidden(k6_lattices(sK20),sK21) ),
introduced(definition,[new_symbols(definition,[spl137_8])],[avatar_definition]) ).
fof(f15547,plain,
( r2_hidden(k6_lattices(sK20),sK21)
| ~ spl137_8 ),
inference(avatar_component_clause,[],[f15545]) ).
fof(f15548,plain,
spl137_8,
inference(avatar_split_clause,[],[f14644,f15545]) ).
fof(f15673,plain,
( m2_filter_2(u1_struct_0(sK20),sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1 ),
inference(resolution,[],[f15345,f14596]) ).
fof(f15674,plain,
( u1_struct_0(sK20) = k17_filter_2(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1 ),
inference(resolution,[],[f15345,f14597]) ).
fof(f15722,plain,
( m1_filter_0(u1_struct_0(sK20),sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1 ),
inference(resolution,[],[f15345,f14681]) ).
fof(f16455,plain,
( m1_filter_0(u1_struct_0(sK20),sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f15722,f15542]) ).
fof(f16503,plain,
( u1_struct_0(sK20) = k17_filter_2(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f15674,f15542]) ).
fof(f16504,plain,
( m2_filter_2(u1_struct_0(sK20),sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f15673,f15542]) ).
fof(f16911,plain,
( m1_filter_0(u1_struct_0(sK20),sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f16455,f15532]) ).
fof(f16959,plain,
( u1_struct_0(sK20) = k17_filter_2(sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f16503,f15532]) ).
fof(f16960,plain,
( m2_filter_2(u1_struct_0(sK20),sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_7 ),
inference(forward_subsumption_resolution,[],[f16504,f15532]) ).
fof(f17354,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| ~ v14_lattices(sK20)
| v1_xboole_0(sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_8 ),
inference(resolution,[],[f15547,f14638]) ).
fof(f17455,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| v1_xboole_0(sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_6
| ~ spl137_8 ),
inference(forward_subsumption_resolution,[],[f17354,f15537]) ).
fof(f17486,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| ~ spl137_6
| ~ spl137_8 ),
inference(forward_subsumption_resolution,[],[f17455,f15494]) ).
fof(f17512,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| ~ spl137_6
| ~ spl137_8 ),
inference(forward_subsumption_resolution,[],[f17486,f15345]) ).
fof(f17527,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8 ),
inference(forward_subsumption_resolution,[],[f17512,f15542]) ).
fof(f17531,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8 ),
inference(forward_subsumption_resolution,[],[f17527,f15532]) ).
fof(f18795,definition,
( spl137_9
<=> r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21) ),
introduced(definition,[new_symbols(definition,[spl137_9])],[avatar_definition]) ).
fof(f18797,plain,
( r1_filter_2(u1_struct_0(sK20),k19_filter_2(sK20,sK21),sK21)
| ~ spl137_9 ),
inference(avatar_component_clause,[],[f18795]) ).
fof(f18798,plain,
( spl137_9
| spl137_1
| ~ spl137_2 ),
inference(avatar_split_clause,[],[f15461,f15348,f15343,f18795]) ).
fof(f18801,plain,
( sK21 = k19_filter_2(sK20,sK21)
| v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(k19_filter_2(sK20,sK21),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ spl137_9 ),
inference(resolution,[],[f18797,f14460]) ).
fof(f18823,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ v14_lattices(sK20)
| ~ r2_hidden(k6_lattices(sK20),sK21)
| v1_xboole_0(sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_9 ),
inference(superposition,[],[f18797,f14638]) ).
fof(f18834,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ v14_lattices(sK20)
| ~ r2_hidden(k6_lattices(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18823,f14660]) ).
fof(f18862,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ r2_hidden(k6_lattices(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_6
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18834,f15537]) ).
fof(f18888,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_6
| ~ spl137_8
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18862,f15547]) ).
fof(f18914,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_6
| ~ spl137_8
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18888,f15345]) ).
fof(f18920,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18914,f15542]) ).
fof(f18921,plain,
( r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9 ),
inference(forward_subsumption_resolution,[],[f18920,f15532]) ).
fof(f18926,plain,
( ~ r1_filter_2(u1_struct_0(sK20),sK21,u1_struct_0(sK20))
| spl137_1
| spl137_4
| ~ spl137_5
| ~ spl137_7 ),
inference(forward_demodulation,[],[f15519,f16959]) ).
fof(f21924,definition,
( spl137_14
<=> r1_filter_2(u1_struct_0(sK20),sK21,u1_struct_0(sK20)) ),
introduced(definition,[new_symbols(definition,[spl137_14])],[avatar_definition]) ).
fof(f21926,plain,
( ~ r1_filter_2(u1_struct_0(sK20),sK21,u1_struct_0(sK20))
| spl137_14 ),
inference(avatar_component_clause,[],[f21924]) ).
fof(f21927,plain,
( ~ spl137_14
| spl137_1
| spl137_4
| ~ spl137_5
| ~ spl137_7 ),
inference(avatar_split_clause,[],[f18926,f15540,f15530,f15517,f15343,f21924]) ).
fof(f21932,plain,
( ~ r1_filter_2(u1_struct_0(sK20),u1_struct_0(sK20),sK21)
| v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_14 ),
inference(resolution,[],[f21926,f14458]) ).
fof(f21973,plain,
( v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14 ),
inference(forward_subsumption_resolution,[],[f21932,f18921]) ).
fof(f25229,definition,
( spl137_17
<=> m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(definition,[new_symbols(definition,[spl137_17])],[avatar_definition]) ).
fof(f25230,plain,
( m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ spl137_17 ),
inference(avatar_component_clause,[],[f25229]) ).
fof(f25231,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_17 ),
inference(avatar_component_clause,[],[f25229]) ).
fof(f31686,plain,
( ~ m2_lattice4(sK21,sK20)
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_17 ),
inference(resolution,[],[f25231,f14665]) ).
fof(f31745,plain,
( v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| spl137_17 ),
inference(forward_subsumption_resolution,[],[f31686,f15495]) ).
fof(f31774,plain,
( ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| spl137_17 ),
inference(forward_subsumption_resolution,[],[f31745,f15345]) ).
fof(f31798,plain,
( ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| ~ spl137_7
| spl137_17 ),
inference(forward_subsumption_resolution,[],[f31774,f15542]) ).
fof(f31808,plain,
( $false
| spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_7
| spl137_17 ),
inference(forward_subsumption_resolution,[],[f31798,f15532]) ).
fof(f31809,plain,
( spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_7
| spl137_17 ),
inference(avatar_contradiction_clause,[],[f31808]) ).
fof(f31826,plain,
( u1_struct_0(sK20) = k19_filter_2(sK20,sK21)
| spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_17 ),
inference(backward_subsumption_resolution,[],[f17531,f25230]) ).
fof(f31828,plain,
( sK21 = k19_filter_2(sK20,sK21)
| v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(k19_filter_2(sK20,sK21),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ spl137_9
| ~ spl137_17 ),
inference(backward_subsumption_resolution,[],[f18801,f25230]) ).
fof(f31839,plain,
( v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17 ),
inference(backward_subsumption_resolution,[],[f21973,f25230]) ).
fof(f31850,plain,
( sK21 = u1_struct_0(sK20)
| v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(k19_filter_2(sK20,sK21),k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17 ),
inference(forward_demodulation,[],[f31828,f31826]) ).
fof(f31854,plain,
( v1_xboole_0(u1_struct_0(sK20))
| ~ m1_subset_1(k19_filter_2(sK20,sK21),k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17 ),
inference(forward_subsumption_resolution,[],[f31850,f15515]) ).
fof(f31858,plain,
( ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| v1_xboole_0(u1_struct_0(sK20))
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17 ),
inference(forward_demodulation,[],[f31854,f31826]) ).
fof(f32579,definition,
( spl137_35
<=> m2_filter_2(u1_struct_0(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl137_35])],[avatar_definition]) ).
fof(f32581,plain,
( m2_filter_2(u1_struct_0(sK20),sK20)
| ~ spl137_35 ),
inference(avatar_component_clause,[],[f32579]) ).
fof(f32582,plain,
( spl137_35
| spl137_1
| ~ spl137_5
| ~ spl137_7 ),
inference(avatar_split_clause,[],[f16960,f15540,f15530,f15343,f32579]) ).
fof(f32585,plain,
( ~ v1_xboole_0(u1_struct_0(sK20))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_35 ),
inference(resolution,[],[f32581,f14456]) ).
fof(f32674,plain,
( ~ v1_xboole_0(u1_struct_0(sK20))
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_35 ),
inference(forward_subsumption_resolution,[],[f32585,f15345]) ).
fof(f32708,plain,
( ~ v1_xboole_0(u1_struct_0(sK20))
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_7
| ~ spl137_35 ),
inference(forward_subsumption_resolution,[],[f32674,f15542]) ).
fof(f32741,plain,
( ~ v1_xboole_0(u1_struct_0(sK20))
| spl137_1
| ~ spl137_5
| ~ spl137_7
| ~ spl137_35 ),
inference(forward_subsumption_resolution,[],[f32708,f15532]) ).
fof(f32754,plain,
( ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35 ),
inference(backward_subsumption_resolution,[],[f31839,f32741]) ).
fof(f34365,definition,
( spl137_43
<=> m1_filter_0(u1_struct_0(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl137_43])],[avatar_definition]) ).
fof(f34367,plain,
( m1_filter_0(u1_struct_0(sK20),sK20)
| ~ spl137_43 ),
inference(avatar_component_clause,[],[f34365]) ).
fof(f34368,plain,
( spl137_43
| spl137_1
| ~ spl137_5
| ~ spl137_7 ),
inference(avatar_split_clause,[],[f16911,f15540,f15530,f15343,f34365]) ).
fof(f34381,plain,
( m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| ~ spl137_43 ),
inference(resolution,[],[f34367,f14679]) ).
fof(f34470,plain,
( v3_struct_0(sK20)
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34381,f32754]) ).
fof(f34506,plain,
( ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34470,f15345]) ).
fof(f34540,plain,
( ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34506,f15542]) ).
fof(f34560,plain,
( $false
| spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34540,f15532]) ).
fof(f34561,plain,
( spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(avatar_contradiction_clause,[],[f34560]) ).
fof(f34565,plain,
( ~ m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35 ),
inference(forward_subsumption_resolution,[],[f31858,f32741]) ).
fof(f34573,plain,
( m1_subset_1(u1_struct_0(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34381,f15345]) ).
fof(f34576,plain,
( ~ v10_lattices(sK20)
| ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34573,f34565]) ).
fof(f34577,plain,
( ~ l3_lattices(sK20)
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34576,f15542]) ).
fof(f34578,plain,
( $false
| spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(forward_subsumption_resolution,[],[f34577,f15532]) ).
fof(f34579,plain,
( spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(avatar_contradiction_clause,[],[f34578]) ).
cnf(s1,plain,
~ spl137_1,
inference(sat_conversion,[],[f15346]) ).
cnf(s2,plain,
spl137_2,
inference(sat_conversion,[],[f15351]) ).
cnf(s3,plain,
( ~ spl137_3
| ~ spl137_4 ),
inference(sat_conversion,[],[f15520]) ).
cnf(s4,plain,
spl137_5,
inference(sat_conversion,[],[f15533]) ).
cnf(s5,plain,
spl137_6,
inference(sat_conversion,[],[f15538]) ).
cnf(s6,plain,
spl137_7,
inference(sat_conversion,[],[f15543]) ).
cnf(s7,plain,
spl137_8,
inference(sat_conversion,[],[f15548]) ).
cnf(s8,plain,
( spl137_1
| ~ spl137_2
| spl137_9 ),
inference(sat_conversion,[],[f18798]) ).
cnf(s13,plain,
( spl137_1
| spl137_4
| ~ spl137_5
| ~ spl137_7
| ~ spl137_14 ),
inference(sat_conversion,[],[f21927]) ).
cnf(s23,plain,
( spl137_1
| ~ spl137_2
| ~ spl137_5
| ~ spl137_7
| spl137_17 ),
inference(sat_conversion,[],[f31809]) ).
cnf(s36,plain,
( spl137_1
| ~ spl137_5
| ~ spl137_7
| spl137_35 ),
inference(sat_conversion,[],[f32582]) ).
cnf(s44,plain,
( spl137_1
| ~ spl137_5
| ~ spl137_7
| spl137_43 ),
inference(sat_conversion,[],[f34368]) ).
cnf(s45,plain,
( spl137_1
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| spl137_14
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(sat_conversion,[],[f34561]) ).
cnf(s46,plain,
( spl137_1
| ~ spl137_2
| spl137_3
| ~ spl137_5
| ~ spl137_6
| ~ spl137_7
| ~ spl137_8
| ~ spl137_9
| ~ spl137_17
| ~ spl137_35
| ~ spl137_43 ),
inference(sat_conversion,[],[f34579]) ).
cnf(s47,plain,
spl137_43,
inference(rat,[],[s44,s4,s6,s1]) ).
cnf(s51,plain,
spl137_35,
inference(rat,[],[s36,s4,s6,s1]) ).
cnf(s55,plain,
spl137_17,
inference(rat,[],[s23,s2,s6,s4,s1]) ).
cnf(s56,plain,
spl137_9,
inference(rat,[],[s8,s2,s1]) ).
cnf(s61,plain,
spl137_14,
inference(rat,[],[s45,s47,s51,s55,s1,s4,s7,s6,s5,s56]) ).
cnf(s63,plain,
spl137_3,
inference(rat,[],[s46,s47,s51,s55,s1,s7,s6,s5,s4,s2,s56]) ).
cnf(s64,plain,
spl137_4,
inference(rat,[],[s13,s1,s6,s4,s61]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s3,s64,s63]) ).
fof(f34580,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT313+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 14:29:51 UTC 2026
% 0.07/0.32 % CPUTime :
% 0.07/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.09/2.23 % (2436883)Detected formulas, will run a generic FOF schedule.
% 10.09/2.23 % (2436889)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2363208746:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.09/2.23 % (2436891)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=249143037:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.09/2.23 % (2436890)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=367712530:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.09/2.23 % (2436894)dis-21_1_sil=8000:lcm=predicate:random_seed=1199500024:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.09/2.23 % (2436892)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=175702623:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.09/2.23 % (2436888)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=931048206:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.09/2.23 % (2436893)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1045169443:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.09/2.23 % (2436893)Instruction limit reached!
% 10.09/2.23 % (2436893)------------------------------
% 10.09/2.23 % (2436893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.23 % (2436893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.23 % (2436893)CaDiCaL version: 2.1.3
% 10.09/2.23 % (2436893)Termination reason: Instruction limit
% 10.09/2.23 % (2436893)Termination phase: Property scanning
% 10.09/2.23 % (2436893)Time elapsed: 0.030 s
% 10.09/2.23 % (2436893)Peak memory usage: 102 MB
% 10.09/2.23 % (2436893)Instructions burned: 139 (million)
% 10.09/2.23 % (2436891)Instruction limit reached!
% 10.09/2.23 % (2436891)------------------------------
% 10.09/2.23 % (2436891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.23 % (2436891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.23 % (2436891)CaDiCaL version: 2.1.3
% 10.09/2.23 % (2436891)Termination reason: Instruction limit
% 10.09/2.23 % (2436891)Termination phase: Saturation
% 10.09/2.23 % (2436891)Time elapsed: 0.048 s
% 10.09/2.23 % (2436891)Peak memory usage: 107 MB
% 10.09/2.23 % (2436891)Instructions burned: 109 (million)
% 10.09/2.23 % (2436894)Instruction limit reached!
% 10.09/2.23 % (2436894)------------------------------
% 10.09/2.23 % (2436894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.23 % (2436894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.23 % (2436894)CaDiCaL version: 2.1.3
% 10.09/2.23 % (2436894)Termination reason: Instruction limit
% 10.09/2.23 % (2436894)Termination phase: Preprocessing 1
% 10.09/2.23 % (2436894)Time elapsed: 0.053 s
% 10.09/2.23 % (2436894)Peak memory usage: 103 MB
% 10.09/2.23 % (2436894)Instructions burned: 129 (million)
% 10.09/2.23 % (2436892)Instruction limit reached!
% 10.09/2.23 % (2436892)------------------------------
% 10.09/2.23 % (2436892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.23 % (2436892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.23 % (2436892)CaDiCaL version: 2.1.3
% 10.09/2.23 % (2436892)Termination reason: Instruction limit
% 10.09/2.23 % (2436892)Termination phase: Function definition elimination
% 10.09/2.23 % (2436892)Time elapsed: 0.053 s
% 10.09/2.23 % (2436892)Peak memory usage: 105 MB
% 10.09/2.23 % (2436892)Instructions burned: 119 (million)
% 10.09/2.23 % (2436902)lrs+10_1_sil=8000:sp=occurrence:random_seed=2219763937:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.09/2.23 % (2436903)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1473455527:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.09/2.23 % (2436904)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4208299659:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.09/2.23 % (2436905)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3760844769:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.17/2.31 % (2436903)Instruction limit reached!
% 9.17/2.31 % (2436903)------------------------------
% 9.17/2.31 % (2436903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436903)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436903)Termination reason: Instruction limit
% 9.17/2.31 % (2436903)Termination phase: Property scanning
% 9.17/2.31 % (2436903)Time elapsed: 0.036 s
% 9.17/2.31 % (2436903)Peak memory usage: 102 MB
% 9.17/2.31 % (2436903)Instructions burned: 159 (million)
% 9.17/2.31 % (2436905)Instruction limit reached!
% 9.17/2.31 % (2436905)------------------------------
% 9.17/2.31 % (2436905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436905)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436905)Termination reason: Instruction limit
% 9.17/2.31 % (2436905)Termination phase: SInE selection
% 9.17/2.31 % (2436905)Time elapsed: 0.070 s
% 9.17/2.31 % (2436905)Peak memory usage: 103 MB
% 9.17/2.31 % (2436905)Instructions burned: 251 (million)
% 9.17/2.31 % (2436902)Instruction limit reached!
% 9.17/2.31 % (2436902)------------------------------
% 9.17/2.31 % (2436902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436902)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436902)Termination reason: Instruction limit
% 9.17/2.31 % (2436902)Termination phase: Saturation
% 9.17/2.31 % (2436902)Time elapsed: 0.112 s
% 9.17/2.31 % (2436902)Peak memory usage: 109 MB
% 9.17/2.31 % (2436902)Instructions burned: 286 (million)
% 9.17/2.31 % (2436904)Instruction limit reached!
% 9.17/2.31 % (2436904)------------------------------
% 9.17/2.31 % (2436904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436904)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436904)Termination reason: Instruction limit
% 9.17/2.31 % (2436904)Termination phase: Saturation
% 9.17/2.31 % (2436904)Time elapsed: 0.128 s
% 9.17/2.31 % (2436904)Peak memory usage: 109 MB
% 9.17/2.31 % (2436904)Instructions burned: 325 (million)
% 9.17/2.31 % (2436910)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1683066110:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.17/2.31 % (2436911)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=994889290:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.17/2.31 % (2436912)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1997968504:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.17/2.31 % (2436913)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1372762428:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.17/2.31 % (2436910)Instruction limit reached!
% 9.17/2.31 % (2436910)------------------------------
% 9.17/2.31 % (2436910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436910)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436910)Termination reason: Instruction limit
% 9.17/2.31 % (2436910)Termination phase: Saturation
% 9.17/2.31 % (2436910)Time elapsed: 0.109 s
% 9.17/2.31 % (2436910)Peak memory usage: 110 MB
% 9.17/2.31 % (2436910)Instructions burned: 297 (million)
% 9.17/2.31 % (2436912)Instruction limit reached!
% 9.17/2.31 % (2436912)------------------------------
% 9.17/2.31 % (2436912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436912)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436912)Termination reason: Instruction limit
% 9.17/2.31 % (2436912)Termination phase: Preprocessing 3
% 9.17/2.31 % (2436912)Time elapsed: 0.059 s
% 9.17/2.31 % (2436912)Peak memory usage: 105 MB
% 9.17/2.31 % (2436912)Instructions burned: 113 (million)
% 9.17/2.31 % (2436913)Instruction limit reached!
% 9.17/2.31 % (2436913)------------------------------
% 9.17/2.31 % (2436913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436913)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436913)Termination reason: Instruction limit
% 9.17/2.31 % (2436913)Termination phase: Preprocessing 2
% 9.17/2.31 % (2436913)Time elapsed: 0.062 s
% 9.17/2.31 % (2436913)Peak memory usage: 106 MB
% 9.17/2.31 % (2436913)Instructions burned: 128 (million)
% 9.17/2.31 % (2436918)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2706775225:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.17/2.31 % (2436919)lrs+10_1_sil=8000:sp=occurrence:random_seed=118132517:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.17/2.31 % (2436918)Instruction limit reached!
% 9.17/2.31 % (2436918)------------------------------
% 9.17/2.31 % (2436918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436918)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436918)Termination reason: Instruction limit
% 9.17/2.31 % (2436918)Termination phase: Property scanning
% 9.17/2.31 % (2436918)Time elapsed: 0.028 s
% 9.17/2.31 % (2436918)Peak memory usage: 102 MB
% 9.17/2.31 % (2436918)Instructions burned: 116 (million)
% 9.17/2.31 % (2436920)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=124103684:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.17/2.31 % (2436923)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=145127875:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.17/2.31 % (2436920)Instruction limit reached!
% 9.17/2.31 % (2436920)------------------------------
% 9.17/2.31 % (2436920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436920)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436920)Termination reason: Instruction limit
% 9.17/2.31 % (2436920)Termination phase: Saturation
% 9.17/2.31 % (2436920)Time elapsed: 0.150 s
% 9.17/2.31 % (2436920)Peak memory usage: 109 MB
% 9.17/2.31 % (2436920)Instructions burned: 440 (million)
% 9.17/2.31 % (2436926)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1600493497:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.17/2.31 % (2436919)Instruction limit reached!
% 9.17/2.31 % (2436919)------------------------------
% 9.17/2.31 % (2436919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436919)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436919)Termination reason: Instruction limit
% 9.17/2.31 % (2436919)Termination phase: Saturation
% 9.17/2.31 % (2436919)Time elapsed: 0.337 s
% 9.17/2.31 % (2436919)Peak memory usage: 122 MB
% 9.17/2.31 % (2436919)Instructions burned: 909 (million)
% 9.17/2.31 % (2436926)Instruction limit reached!
% 9.17/2.31 % (2436926)------------------------------
% 9.17/2.31 % (2436926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436926)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436926)Termination reason: Instruction limit
% 9.17/2.31 % (2436926)Termination phase: Property scanning
% 9.17/2.31 % (2436926)Time elapsed: 0.059 s
% 9.17/2.31 % (2436926)Peak memory usage: 106 MB
% 9.17/2.31 % (2436926)Instructions burned: 137 (million)
% 9.17/2.31 % (2436928)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3316329668:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 9.17/2.31 % (2436929)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1883459237:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.17/2.31 % (2436890)First to succeed.
% 9.17/2.31 % (2436890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2436883"
% 9.17/2.31 % (2436911)Instruction limit reached!
% 9.17/2.31 % (2436911)------------------------------
% 9.17/2.31 % (2436911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436911)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436911)Termination reason: Instruction limit
% 9.17/2.31 % (2436911)Termination phase: Saturation
% 9.17/2.31 % (2436911)Time elapsed: 0.838 s
% 9.17/2.31 % (2436911)Peak memory usage: 240 MB
% 9.17/2.31 % (2436911)Instructions burned: 2350 (million)
% 9.17/2.31 % (2436928)Instruction limit reached!
% 9.17/2.31 % (2436928)------------------------------
% 9.17/2.31 % (2436928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.31 % (2436928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.31 % (2436928)CaDiCaL version: 2.1.3
% 9.17/2.31 % (2436928)Termination reason: Instruction limit
% 9.17/2.31 % (2436928)Termination phase: Property scanning
% 9.17/2.31 % (2436928)Time elapsed: 0.245 s
% 9.17/2.31 % (2436928)Peak memory usage: 124 MB
% 9.17/2.31 % (2436928)Instructions burned: 596 (million)
% 9.17/2.31 % (2436890)Refutation found. Thanks to Tanya!
% 9.17/2.31 % SZS status Theorem for theBenchmark
% 9.17/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 10.88/2.41 % (2436890)------------------------------
% 10.88/2.41 % (2436890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.41 % (2436890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.41 % (2436890)CaDiCaL version: 2.1.3
% 10.88/2.41 % (2436890)Termination reason: Refutation
% 10.88/2.41 % (2436890)Time elapsed: 1.158 s
% 10.88/2.41 % (2436890)Peak memory usage: 169 MB
% 10.88/2.41 % (2436890)Instructions burned: 3437 (million)
% 10.88/2.41 % (2436890)------------------------------
% 10.88/2.41 % (2436890)------------------------------
% 10.88/2.41 % (2436883)Success in time 1.769 s
% 10.88/2.41 % Vampire exiting
%------------------------------------------------------------------------------