%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT337+1 : 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 : n020.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 11:47:04 AM UTC 2026
% Result : Theorem 2.66s 1.27s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 9
% Syntax : Number of formulae : 103 ( 9 unt; 1 def)
% Number of atoms : 811 ( 0 equ)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 1224 ( 516 ~; 505 |; 179 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 86 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f14,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_lattices) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f50,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f81,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v11_lattices(X0)
=> v11_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_filter_2) ).
fof(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0)
& v12_lattices(X0)
& r3_lattices(X0,X1,X2) )
=> ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
fof(f87,plain,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f93,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f94,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& r3_lattices(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f104,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f106,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f105]) ).
fof(f109,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f110,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f109]) ).
fof(f126,definition,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f127,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f110,f126]) ).
fof(f128,plain,
( ( v3_struct_0(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v10_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) )
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& v17_lattices(sK1)
& l3_lattices(sK1)
& r3_lattices(sK1,sK2,sK3)
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f94]) ).
fof(f134,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& v10_lattices(X0)
& v12_lattices(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f145,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f146,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f147,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f148,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f128]) ).
fof(f149,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f128]) ).
fof(f150,plain,
r3_lattices(sK1,sK2,sK3),
inference(cnf_transformation,[],[f128]) ).
fof(f152,plain,
v17_lattices(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f155,plain,
( v3_struct_0(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v10_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(cnf_transformation,[],[f128]) ).
fof(f156,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f157,plain,
! [X2,X0,X1] :
( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f158,plain,
! [X2,X0,X1] :
( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f161,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f163,plain,
! [X0,X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f164,plain,
! [X0,X1] :
( v10_lattices(k23_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f171,plain,
! [X0,X1] :
( ~ v3_struct_0(k23_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f189,plain,
! [X0] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f191,plain,
! [X0] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f192,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f195,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f224,plain,
! [X0] :
( v12_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f233,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f283,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f284,plain,
! [X2,X0,X1] :
( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f285,plain,
! [X2,X0,X1] :
( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f289,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v10_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(resolution,[],[f171,f155]) ).
fof(f290,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f289,f164]) ).
fof(f291,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f290,f147]) ).
fof(f292,plain,
( ~ l3_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f291,f146]) ).
fof(f293,plain,
( ~ v17_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f292,f145]) ).
fof(f294,plain,
( ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v3_struct_0(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(resolution,[],[f293,f189]) ).
fof(f295,plain,
( v3_struct_0(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f296,plain,
( v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1) ),
inference(resolution,[],[f295,f171]) ).
fof(f297,plain,
( v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f298,plain,
( v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f297,f147]) ).
fof(f299,plain,
( v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f298,f146]) ).
fof(f300,plain,
( ~ v16_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f299,f145]) ).
fof(f303,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3)) ),
inference(resolution,[],[f284,f300]) ).
fof(f304,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f303,f283]) ).
fof(f305,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f304,f161]) ).
fof(f306,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f305,f162]) ).
fof(f307,plain,
( ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f306,f147]) ).
fof(f308,plain,
( ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f307,f146]) ).
fof(f309,plain,
( ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f308,f145]) ).
fof(f310,plain,
( ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f309,f150]) ).
fof(f311,plain,
( ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f310,f149]) ).
fof(f312,plain,
( ~ v11_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3))) ),
inference(forward_subsumption_resolution,[],[f311,f148]) ).
fof(f313,plain,
( ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f312,f163]) ).
fof(f316,plain,
( ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f313,f147]) ).
fof(f317,plain,
( ~ v16_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f316,f146]) ).
fof(f318,plain,
( ~ v15_lattices(k23_filter_2(sK1,k22_filter_2(sK1,sK2,sK3)))
| ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1) ),
inference(forward_subsumption_resolution,[],[f317,f145]) ).
fof(f319,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v12_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(resolution,[],[f318,f285]) ).
fof(f322,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| v1_xboole_0(k22_filter_2(sK1,sK2,sK3))
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f323,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ m2_lattice4(k22_filter_2(sK1,sK2,sK3),sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f322,f162]) ).
fof(f324,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f323,f161]) ).
fof(f325,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f324,f147]) ).
fof(f326,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f325,f146]) ).
fof(f327,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ r3_lattices(sK1,sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f326,f145]) ).
fof(f328,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f327,f150]) ).
fof(f329,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f328,f149]) ).
fof(f330,plain,
( ~ v12_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f329,f148]) ).
fof(f331,plain,
( ~ sP0(sK1)
| ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1) ),
inference(resolution,[],[f330,f224]) ).
fof(f332,plain,
( ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f331,f233]) ).
fof(f333,plain,
( ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f334,plain,
( ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f333,f147]) ).
fof(f335,plain,
( ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f334,f146]) ).
fof(f336,plain,
( ~ v16_lattices(sK1)
| ~ v11_lattices(sK1)
| ~ v15_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f335,f145]) ).
fof(f358,plain,
( ~ v11_lattices(sK1)
| ~ v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f336,f191]) ).
fof(f359,plain,
( ~ v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f358,f195]) ).
fof(f360,plain,
( v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f359,f192]) ).
fof(f361,plain,
( ~ v17_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f360,f147]) ).
fof(f362,plain,
~ l3_lattices(sK1),
inference(forward_subsumption_resolution,[],[f361,f152]) ).
fof(f363,plain,
$false,
inference(forward_subsumption_resolution,[],[f362,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT337+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:47:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.66/1.27 % (3454961)Detected formulas, will run a generic FOF schedule.
% 2.66/1.27 % (3454972)dis-21_1_sil=8000:lcm=predicate:random_seed=4206969153:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.66/1.27 % (3454966)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=1550240736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.27 % (3454968)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=2837456960:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.27 % (3454970)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=362654373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.27 % (3454967)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=129078694:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.27 % (3454969)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1281817871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.27 % (3454971)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1996295752:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.27 % (3454972)Instruction limit reached!
% 2.66/1.27 % (3454972)------------------------------
% 2.66/1.27 % (3454972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (3454972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (3454972)CaDiCaL version: 2.1.3
% 2.66/1.27 % (3454972)Termination reason: Instruction limit
% 2.66/1.27 % (3454972)Termination phase: Saturation
% 2.66/1.27 % (3454972)Time elapsed: 0.043 s
% 2.66/1.27 % (3454972)Peak memory usage: 91 MB
% 2.66/1.27 % (3454972)Instructions burned: 136 (million)
% 2.66/1.27 % (3454969)Refutation not found, incomplete strategy
% 2.66/1.27 % (3454969)------------------------------
% 2.66/1.27 % (3454969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (3454969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (3454969)CaDiCaL version: 2.1.3
% 2.66/1.27 % (3454969)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27 % (3454969)Time elapsed: 0.002 s
% 2.66/1.27 % (3454969)Peak memory usage: 88 MB
% 2.66/1.27 % (3454969)Instructions burned: 2 (million)
% 2.66/1.27 % (3454970)First to succeed.
% 2.66/1.27 % (3454970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3454961"
% 2.66/1.27 % (3454971)Also succeeded, but the first one will report.
% 2.66/1.27 % (3454980)lrs+10_1_sil=8000:sp=occurrence:random_seed=692923291:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.66/1.27 % (3454980)Also succeeded, but the first one will report.
% 2.66/1.27 % (3454969)------------------------------
% 2.66/1.27 % (3454969)------------------------------
% 2.66/1.27 % (3454970)Refutation found. Thanks to Tanya!
% 2.66/1.27 % SZS status Theorem for theBenchmark
% 2.66/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.47 % (3454970)------------------------------
% 3.53/1.47 % (3454970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.47 % (3454970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.47 % (3454970)CaDiCaL version: 2.1.3
% 3.53/1.47 % (3454970)Termination reason: Refutation
% 3.53/1.47 % (3454970)Time elapsed: 0.007 s
% 3.53/1.47 % (3454970)Peak memory usage: 88 MB
% 3.53/1.47 % (3454970)Instructions burned: 12 (million)
% 3.53/1.47 % (3454970)------------------------------
% 3.53/1.47 % (3454970)------------------------------
% 3.53/1.47 % (3454961)Success in time 0.421 s
% 3.53/1.47 % Vampire exiting
%------------------------------------------------------------------------------