%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT305+2 : 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 11:46:44 AM UTC 2026
% Result : Theorem 3.22s 1.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 130 ( 21 unt; 8 def)
% Number of atoms : 531 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 688 ( 287 ~; 308 |; 62 &)
% ( 11 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 9 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 86 ( 0 sgn 80 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2318,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f2410,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f2415,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f2425,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f2908,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f2948,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))
=> ! [X3] :
( m2_filter_2(X3,X0)
=> ( r2_hidden(X1,X3)
=> ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_filter_2) ).
fof(f2956,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))
=> ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> r3_lattices(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_filter_2) ).
fof(f2958,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))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f2959,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))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2958]) ).
fof(f2990,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& 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,[],[f2959]) ).
fof(f2991,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& 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,[],[f2990]) ).
fof(f3069,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0) )
| ~ 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,[],[f2948]) ).
fof(f3070,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0) )
| ~ 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,[],[f3069]) ).
fof(f3137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> 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,[],[f2956]) ).
fof(f3138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X1,k18_filter_2(X0,X2))
<=> 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,[],[f3137]) ).
fof(f3141,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2908]) ).
fof(f3142,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3141]) ).
fof(f3756,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2415]) ).
fof(f3757,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f3756]) ).
fof(f3943,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f2425]) ).
fof(f3944,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f3943]) ).
fof(f3976,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2410]) ).
fof(f3993,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2318]) ).
fof(f3994,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3993]) ).
fof(f4048,plain,
( ( ~ r2_hidden(sK13,k18_filter_2(sK12,sK13))
| ~ r2_hidden(k4_lattices(sK12,sK13,sK14),k18_filter_2(sK12,sK13))
| ~ r2_hidden(k4_lattices(sK12,sK14,sK13),k18_filter_2(sK12,sK13)) )
& m1_subset_1(sK14,u1_struct_0(sK12))
& m1_subset_1(sK13,u1_struct_0(sK12))
& ~ v3_struct_0(sK12)
& v10_lattices(sK12)
& l3_lattices(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f2991]) ).
fof(f4133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ r3_lattices(X0,X1,X2) )
& ( r3_lattices(X0,X1,X2)
| ~ r2_hidden(X1,k18_filter_2(X0,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(nnf_transformation,[],[f3138]) ).
fof(f4425,plain,
l3_lattices(sK12),
inference(cnf_transformation,[],[f4048]) ).
fof(f4426,plain,
v10_lattices(sK12),
inference(cnf_transformation,[],[f4048]) ).
fof(f4427,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f4048]) ).
fof(f4428,plain,
m1_subset_1(sK13,u1_struct_0(sK12)),
inference(cnf_transformation,[],[f4048]) ).
fof(f4429,plain,
m1_subset_1(sK14,u1_struct_0(sK12)),
inference(cnf_transformation,[],[f4048]) ).
fof(f4430,plain,
( ~ r2_hidden(sK13,k18_filter_2(sK12,sK13))
| ~ r2_hidden(k4_lattices(sK12,sK13,sK14),k18_filter_2(sK12,sK13))
| ~ r2_hidden(k4_lattices(sK12,sK14,sK13),k18_filter_2(sK12,sK13)) ),
inference(cnf_transformation,[],[f4048]) ).
fof(f4549,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_lattices(X0,X2,X1),X3)
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0)
| ~ 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,[],[f3070]) ).
fof(f4550,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_lattices(X0,X1,X2),X3)
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0)
| ~ 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,[],[f3070]) ).
fof(f4643,plain,
! [X2,X0,X1] :
( r2_hidden(X1,k18_filter_2(X0,X2))
| ~ 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,[],[f4133]) ).
fof(f4645,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3142]) ).
fof(f5567,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f3757]) ).
fof(f5766,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f3944]) ).
fof(f5810,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f3976]) ).
fof(f5860,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3994]) ).
fof(f5861,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3994]) ).
fof(f5863,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3994]) ).
fof(f6298,definition,
( spl253_1
<=> r2_hidden(k4_lattices(sK12,sK14,sK13),k18_filter_2(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl253_1])],[avatar_definition]) ).
fof(f6300,plain,
( ~ r2_hidden(k4_lattices(sK12,sK14,sK13),k18_filter_2(sK12,sK13))
| spl253_1 ),
inference(avatar_component_clause,[],[f6298]) ).
fof(f6302,definition,
( spl253_2
<=> r2_hidden(k4_lattices(sK12,sK13,sK14),k18_filter_2(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl253_2])],[avatar_definition]) ).
fof(f6304,plain,
( ~ r2_hidden(k4_lattices(sK12,sK13,sK14),k18_filter_2(sK12,sK13))
| spl253_2 ),
inference(avatar_component_clause,[],[f6302]) ).
fof(f6306,definition,
( spl253_3
<=> r2_hidden(sK13,k18_filter_2(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl253_3])],[avatar_definition]) ).
fof(f6307,plain,
( r2_hidden(sK13,k18_filter_2(sK12,sK13))
| ~ spl253_3 ),
inference(avatar_component_clause,[],[f6306]) ).
fof(f6308,plain,
( ~ r2_hidden(sK13,k18_filter_2(sK12,sK13))
| spl253_3 ),
inference(avatar_component_clause,[],[f6306]) ).
fof(f6309,plain,
( ~ spl253_1
| ~ spl253_2
| ~ spl253_3 ),
inference(avatar_split_clause,[],[f4430,f6306,f6302,f6298]) ).
fof(f6311,plain,
l1_lattices(sK12),
inference(resolution,[],[f4425,f5810]) ).
fof(f6338,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_3 ),
inference(resolution,[],[f6308,f4643]) ).
fof(f6340,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_3 ),
inference(duplicate_literal_removal,[],[f6338]) ).
fof(f6358,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6340,f4428]) ).
fof(f6359,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6358,f4427]) ).
fof(f6360,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| ~ l3_lattices(sK12)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6359,f4426]) ).
fof(f6361,plain,
( ~ r3_lattices(sK12,sK13,sK13)
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6360,f4425]) ).
fof(f6366,plain,
( ~ r2_hidden(sK13,k18_filter_2(sK12,sK13))
| ~ m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1 ),
inference(resolution,[],[f6300,f4549]) ).
fof(f6425,definition,
( spl253_18
<=> m2_filter_2(k18_filter_2(sK12,sK13),sK12) ),
introduced(definition,[new_symbols(definition,[spl253_18])],[avatar_definition]) ).
fof(f6426,plain,
( m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| ~ spl253_18 ),
inference(avatar_component_clause,[],[f6425]) ).
fof(f6427,plain,
( ~ m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| spl253_18 ),
inference(avatar_component_clause,[],[f6425]) ).
fof(f6454,plain,
( ~ r2_hidden(sK13,k18_filter_2(sK12,sK13))
| ~ m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2 ),
inference(resolution,[],[f6304,f4550]) ).
fof(f6503,plain,
( ! [X0] :
( v3_struct_0(sK12)
| ~ v6_lattices(sK12)
| ~ v8_lattices(sK12)
| ~ v9_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12)) )
| spl253_3 ),
inference(resolution,[],[f6361,f5567]) ).
fof(f6507,plain,
( ! [X0] :
( ~ v6_lattices(sK12)
| ~ v8_lattices(sK12)
| ~ v9_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12)) )
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6503,f4427]) ).
fof(f6509,plain,
( ! [X0] :
( ~ v6_lattices(sK12)
| ~ v8_lattices(sK12)
| ~ v9_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12)) )
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6507,f4425]) ).
fof(f6511,plain,
( ! [X0] :
( ~ v6_lattices(sK12)
| ~ v8_lattices(sK12)
| ~ v9_lattices(sK12)
| ~ m1_subset_1(X0,u1_struct_0(sK12)) )
| spl253_3 ),
inference(forward_subsumption_resolution,[],[f6509,f4428]) ).
fof(f6513,definition,
( spl253_26
<=> v9_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl253_26])],[avatar_definition]) ).
fof(f6515,plain,
( ~ v9_lattices(sK12)
| spl253_26 ),
inference(avatar_component_clause,[],[f6513]) ).
fof(f6517,definition,
( spl253_27
<=> v8_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl253_27])],[avatar_definition]) ).
fof(f6519,plain,
( ~ v8_lattices(sK12)
| spl253_27 ),
inference(avatar_component_clause,[],[f6517]) ).
fof(f6521,definition,
( spl253_28
<=> v6_lattices(sK12) ),
introduced(definition,[new_symbols(definition,[spl253_28])],[avatar_definition]) ).
fof(f6523,plain,
( ~ v6_lattices(sK12)
| spl253_28 ),
inference(avatar_component_clause,[],[f6521]) ).
fof(f6530,definition,
( spl253_30
<=> ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK12)) ),
introduced(definition,[new_symbols(definition,[spl253_30])],[avatar_definition]) ).
fof(f6531,plain,
( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ spl253_30 ),
inference(avatar_component_clause,[],[f6530]) ).
fof(f6532,plain,
( spl253_30
| ~ spl253_26
| ~ spl253_27
| ~ spl253_28
| spl253_3 ),
inference(avatar_split_clause,[],[f6511,f6306,f6521,f6517,f6513,f6530]) ).
fof(f6533,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_26 ),
inference(resolution,[],[f6515,f5860]) ).
fof(f6536,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_26 ),
inference(forward_subsumption_resolution,[],[f6533,f4427]) ).
fof(f6538,plain,
( ~ l3_lattices(sK12)
| spl253_26 ),
inference(forward_subsumption_resolution,[],[f6536,f4426]) ).
fof(f6541,plain,
( $false
| spl253_26 ),
inference(forward_subsumption_resolution,[],[f6538,f4425]) ).
fof(f6542,plain,
spl253_26,
inference(avatar_contradiction_clause,[],[f6541]) ).
fof(f6546,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_27 ),
inference(resolution,[],[f6519,f5861]) ).
fof(f6549,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_27 ),
inference(forward_subsumption_resolution,[],[f6546,f4427]) ).
fof(f6551,plain,
( ~ l3_lattices(sK12)
| spl253_27 ),
inference(forward_subsumption_resolution,[],[f6549,f4426]) ).
fof(f6554,plain,
( $false
| spl253_27 ),
inference(forward_subsumption_resolution,[],[f6551,f4425]) ).
fof(f6555,plain,
spl253_27,
inference(avatar_contradiction_clause,[],[f6554]) ).
fof(f6563,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| spl253_18 ),
inference(resolution,[],[f6427,f4645]) ).
fof(f6564,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| spl253_18 ),
inference(forward_subsumption_resolution,[],[f6563,f4427]) ).
fof(f6565,plain,
( ~ l3_lattices(sK12)
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| spl253_18 ),
inference(forward_subsumption_resolution,[],[f6564,f4426]) ).
fof(f6566,plain,
( ~ m1_subset_1(sK13,u1_struct_0(sK12))
| spl253_18 ),
inference(forward_subsumption_resolution,[],[f6565,f4425]) ).
fof(f6567,plain,
( $false
| spl253_18 ),
inference(forward_subsumption_resolution,[],[f6566,f4428]) ).
fof(f6568,plain,
spl253_18,
inference(avatar_contradiction_clause,[],[f6567]) ).
fof(f6569,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_28 ),
inference(resolution,[],[f6523,f5863]) ).
fof(f6572,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_28 ),
inference(forward_subsumption_resolution,[],[f6569,f4427]) ).
fof(f6574,plain,
( ~ l3_lattices(sK12)
| spl253_28 ),
inference(forward_subsumption_resolution,[],[f6572,f4426]) ).
fof(f6577,plain,
( $false
| spl253_28 ),
inference(forward_subsumption_resolution,[],[f6574,f4425]) ).
fof(f6578,plain,
spl253_28,
inference(avatar_contradiction_clause,[],[f6577]) ).
fof(f6579,plain,
( ~ m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3 ),
inference(forward_subsumption_resolution,[],[f6366,f6307]) ).
fof(f6581,plain,
( ~ m2_filter_2(k18_filter_2(sK12,sK13),sK12)
| ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3 ),
inference(forward_subsumption_resolution,[],[f6454,f6307]) ).
fof(f6582,plain,
( ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6579,f6426]) ).
fof(f6584,plain,
( ~ m1_subset_1(sK14,u1_struct_0(sK12))
| ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6581,f6426]) ).
fof(f6585,plain,
( ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6582,f4429]) ).
fof(f6587,plain,
( ~ m1_subset_1(sK13,u1_struct_0(sK12))
| v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6584,f4429]) ).
fof(f6588,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6585,f4428]) ).
fof(f6590,plain,
( v3_struct_0(sK12)
| ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6587,f4428]) ).
fof(f6591,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6588,f4427]) ).
fof(f6593,plain,
( ~ v10_lattices(sK12)
| ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6590,f4427]) ).
fof(f6594,plain,
( ~ l3_lattices(sK12)
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6591,f4426]) ).
fof(f6596,plain,
( ~ l3_lattices(sK12)
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6593,f4426]) ).
fof(f6597,plain,
( $false
| spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6594,f4425]) ).
fof(f6598,plain,
( spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(avatar_contradiction_clause,[],[f6597]) ).
fof(f6599,plain,
( $false
| spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(forward_subsumption_resolution,[],[f6596,f4425]) ).
fof(f6600,plain,
( spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(avatar_contradiction_clause,[],[f6599]) ).
fof(f6631,plain,
( v3_struct_0(sK12)
| ~ l1_lattices(sK12)
| ~ spl253_30 ),
inference(resolution,[],[f6531,f5766]) ).
fof(f6769,plain,
( ~ l1_lattices(sK12)
| ~ spl253_30 ),
inference(forward_subsumption_resolution,[],[f6631,f4427]) ).
fof(f6809,plain,
( $false
| ~ spl253_30 ),
inference(forward_subsumption_resolution,[],[f6769,f6311]) ).
fof(f6810,plain,
~ spl253_30,
inference(avatar_contradiction_clause,[],[f6809]) ).
cnf(s1,plain,
( ~ spl253_1
| ~ spl253_2
| ~ spl253_3 ),
inference(sat_conversion,[],[f6309]) ).
cnf(s16,plain,
( spl253_3
| ~ spl253_26
| ~ spl253_27
| ~ spl253_28
| spl253_30 ),
inference(sat_conversion,[],[f6532]) ).
cnf(s18,plain,
spl253_26,
inference(sat_conversion,[],[f6542]) ).
cnf(s20,plain,
spl253_27,
inference(sat_conversion,[],[f6555]) ).
cnf(s21,plain,
spl253_18,
inference(sat_conversion,[],[f6568]) ).
cnf(s23,plain,
spl253_28,
inference(sat_conversion,[],[f6578]) ).
cnf(s24,plain,
( spl253_1
| ~ spl253_3
| ~ spl253_18 ),
inference(sat_conversion,[],[f6598]) ).
cnf(s25,plain,
( spl253_2
| ~ spl253_3
| ~ spl253_18 ),
inference(sat_conversion,[],[f6600]) ).
cnf(s30,plain,
~ spl253_30,
inference(sat_conversion,[],[f6810]) ).
cnf(s38,plain,
spl253_3,
inference(rat,[],[s16,s30,s23,s20,s18]) ).
cnf(s39,plain,
spl253_2,
inference(rat,[],[s25,s21,s38]) ).
cnf(s40,plain,
spl253_1,
inference(rat,[],[s24,s21,s38]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s38,s39,s40]) ).
fof(f6854,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT305+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:26:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.22/1.51 % (3426591)Detected formulas, will run a generic FOF schedule.
% 3.22/1.51 % (3426601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4254018088:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.22/1.51 % (3426600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1065016551:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.22/1.51 % (3426599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=373007314:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.22/1.51 % (3426597)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=4018999658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.22/1.51 % (3426602)dis-21_1_sil=8000:lcm=predicate:random_seed=3761846302: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)
% 3.22/1.51 % (3426596)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=3825925134:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.22/1.51 % (3426598)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=2096713237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.22/1.51 % (3426599)Refutation not found, incomplete strategy
% 3.22/1.51 % (3426599)------------------------------
% 3.22/1.51 % (3426599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426599)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426599)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.51 % (3426599)Time elapsed: 0.012 s
% 3.22/1.51 % (3426599)Peak memory usage: 91 MB
% 3.22/1.51 % (3426599)Instructions burned: 13 (million)
% 3.22/1.51 % (3426601)Instruction limit reached!
% 3.22/1.51 % (3426601)------------------------------
% 3.22/1.51 % (3426601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426601)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426601)Termination reason: Instruction limit
% 3.22/1.51 % (3426601)Termination phase: Property scanning
% 3.22/1.51 % (3426601)Time elapsed: 0.049 s
% 3.22/1.51 % (3426601)Peak memory usage: 94 MB
% 3.22/1.51 % (3426601)Instructions burned: 144 (million)
% 3.22/1.51 % (3426600)Instruction limit reached!
% 3.22/1.51 % (3426600)------------------------------
% 3.22/1.51 % (3426600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426600)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426600)Termination reason: Instruction limit
% 3.22/1.51 % (3426600)Termination phase: Saturation
% 3.22/1.51 % (3426600)Time elapsed: 0.076 s
% 3.22/1.51 % (3426600)Peak memory usage: 92 MB
% 3.22/1.51 % (3426600)Instructions burned: 119 (million)
% 3.22/1.51 % (3426602)Instruction limit reached!
% 3.22/1.51 % (3426602)------------------------------
% 3.22/1.51 % (3426602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426602)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426602)Termination reason: Instruction limit
% 3.22/1.51 % (3426602)Termination phase: Function definition elimination
% 3.22/1.51 % (3426602)Time elapsed: 0.079 s
% 3.22/1.51 % (3426602)Peak memory usage: 92 MB
% 3.22/1.51 % (3426602)Instructions burned: 130 (million)
% 3.22/1.51 % (3426610)lrs+10_1_sil=8000:sp=occurrence:random_seed=2708862457:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.22/1.51 % (3426611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4239632157:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.22/1.51 % (3426610)Instruction limit reached!
% 3.22/1.51 % (3426610)------------------------------
% 3.22/1.51 % (3426610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426610)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426610)Termination reason: Instruction limit
% 3.22/1.51 % (3426610)Termination phase: Saturation
% 3.22/1.51 % (3426610)Time elapsed: 0.093 s
% 3.22/1.51 % (3426610)Peak memory usage: 95 MB
% 3.22/1.51 % (3426610)Instructions burned: 288 (million)
% 3.22/1.51 % (3426612)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2752816633:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.22/1.51 % (3426611)Refutation not found, incomplete strategy
% 3.22/1.51 % (3426611)------------------------------
% 3.22/1.51 % (3426611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426611)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426611)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.51 % (3426611)Time elapsed: 0.025 s
% 3.22/1.51 % (3426611)Peak memory usage: 92 MB
% 3.22/1.51 % (3426611)Instructions burned: 42 (million)
% 3.22/1.51 % (3426599)------------------------------
% 3.22/1.51 % (3426599)------------------------------
% 3.22/1.51 % (3426612)Refutation not found, incomplete strategy
% 3.22/1.51 % (3426612)------------------------------
% 3.22/1.51 % (3426612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426612)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426612)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.51 % (3426612)Time elapsed: 0.042 s
% 3.22/1.51 % (3426612)Peak memory usage: 92 MB
% 3.22/1.51 % (3426612)Instructions burned: 61 (million)
% 3.22/1.51 % (3426615)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=726787265:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.22/1.51 % (3426615)Instruction limit reached!
% 3.22/1.51 % (3426615)------------------------------
% 3.22/1.51 % (3426615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426615)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426615)Termination reason: Instruction limit
% 3.22/1.51 % (3426615)Termination phase: Saturation
% 3.22/1.51 % (3426615)Time elapsed: 0.078 s
% 3.22/1.51 % (3426615)Peak memory usage: 98 MB
% 3.22/1.51 % (3426615)Instructions burned: 248 (million)
% 3.22/1.51 % (3426617)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2562758603:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.22/1.51 % (3426617)First to succeed.
% 3.22/1.51 % (3426617)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3426591"
% 3.22/1.51 % (3426619)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=76654303:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 3.22/1.51 % (3426611)------------------------------
% 3.22/1.51 % (3426611)------------------------------
% 3.22/1.51 % (3426612)------------------------------
% 3.22/1.51 % (3426612)------------------------------
% 3.22/1.51 % (3426622)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2529896301:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 3.22/1.51 % (3426623)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3810843968:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 3.22/1.51 % (3426622)Instruction limit reached!
% 3.22/1.51 % (3426622)------------------------------
% 3.22/1.51 % (3426622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.51 % (3426622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.51 % (3426622)CaDiCaL version: 2.1.3
% 3.22/1.51 % (3426622)Termination reason: Instruction limit
% 3.22/1.51 % (3426622)Termination phase: Saturation
% 3.22/1.51 % (3426622)Time elapsed: 0.066 s
% 3.22/1.51 % (3426622)Peak memory usage: 93 MB
% 3.22/1.51 % (3426622)Instructions burned: 114 (million)
% 3.22/1.51 % (3426617)Refutation found. Thanks to Tanya!
% 3.22/1.51 % SZS status Theorem for theBenchmark
% 3.22/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.71 % (3426617)------------------------------
% 0.15/1.71 % (3426617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.71 % (3426617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.71 % (3426617)CaDiCaL version: 2.1.3
% 0.15/1.71 % (3426617)Termination reason: Refutation
% 0.15/1.71 % (3426617)Time elapsed: 0.078 s
% 0.15/1.71 % (3426617)Peak memory usage: 95 MB
% 0.15/1.71 % (3426617)Instructions burned: 130 (million)
% 0.15/1.71 % (3426617)------------------------------
% 0.15/1.71 % (3426617)------------------------------
% 0.15/1.71 % (3426591)Success in time 0.907 s
% 0.15/1.71 % Vampire exiting
%------------------------------------------------------------------------------