%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT302+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:46:42 AM UTC 2026
% Result : Theorem 9.92s 2.39s
% Output : Refutation 10.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 115 ( 19 unt; 7 def)
% Number of atoms : 493 ( 20 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 615 ( 237 ~; 268 |; 79 &)
% ( 16 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2453,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2644,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f2659,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2941,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f2950,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f2951,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
inference(negated_conjecture,[status(cth)],[f2950]) ).
fof(f2975,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f2569]) ).
fof(f2997,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2872]) ).
fof(f2998,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f2997]) ).
fof(f3132,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2941]) ).
fof(f3133,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3132]) ).
fof(f3150,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2951]) ).
fof(f3151,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3150]) ).
fof(f3274,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3277,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2975]) ).
fof(f3278,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3277]) ).
fof(f3279,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f3280,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3279]) ).
fof(f3412,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f3413,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3412]) ).
fof(f3444,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2644]) ).
fof(f3445,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3444]) ).
fof(f3448,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2659]) ).
fof(f3449,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3448]) ).
fof(f3532,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2453]) ).
fof(f3533,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3532]) ).
fof(f3539,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f2998]) ).
fof(f3559,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3133]) ).
fof(f3565,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16)
& v13_lattices(sK16)
& ~ v3_struct_0(sK16)
& v10_lattices(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f3151]) ).
fof(f3708,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3445]) ).
fof(f3740,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3539]) ).
fof(f3853,plain,
! [X0,X1] :
( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3559]) ).
fof(f3890,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f3565]) ).
fof(f3891,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f3565]) ).
fof(f3892,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f3565]) ).
fof(f3893,plain,
v13_lattices(sK16),
inference(cnf_transformation,[],[f3565]) ).
fof(f3894,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16),
inference(cnf_transformation,[],[f3565]) ).
fof(f4043,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3274]) ).
fof(f4046,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3278]) ).
fof(f4055,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3280]) ).
fof(f4252,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3413]) ).
fof(f4289,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3708]) ).
fof(f4292,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3449]) ).
fof(f4449,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3533]) ).
fof(f4582,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f4449]) ).
fof(f4584,definition,
( spl156_1
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_1])],[avatar_definition]) ).
fof(f4586,plain,
( ~ v3_struct_0(sK16)
| spl156_1 ),
inference(avatar_component_clause,[],[f4584]) ).
fof(f4587,plain,
~ spl156_1,
inference(avatar_split_clause,[],[f3892,f4584]) ).
fof(f4589,definition,
( spl156_2
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_2])],[avatar_definition]) ).
fof(f4591,plain,
( l3_lattices(sK16)
| ~ spl156_2 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f4592,plain,
spl156_2,
inference(avatar_split_clause,[],[f3890,f4589]) ).
fof(f4594,definition,
( spl156_3
<=> v10_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_3])],[avatar_definition]) ).
fof(f4596,plain,
( v10_lattices(sK16)
| ~ spl156_3 ),
inference(avatar_component_clause,[],[f4594]) ).
fof(f4597,plain,
spl156_3,
inference(avatar_split_clause,[],[f3891,f4594]) ).
fof(f4599,definition,
( spl156_4
<=> m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16) ),
introduced(definition,[new_symbols(definition,[spl156_4])],[avatar_definition]) ).
fof(f4601,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16)
| spl156_4 ),
inference(avatar_component_clause,[],[f4599]) ).
fof(f4602,plain,
~ spl156_4,
inference(avatar_split_clause,[],[f3894,f4599]) ).
fof(f4787,definition,
( spl156_5
<=> v13_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl156_5])],[avatar_definition]) ).
fof(f4789,plain,
( v13_lattices(sK16)
| ~ spl156_5 ),
inference(avatar_component_clause,[],[f4787]) ).
fof(f4790,plain,
spl156_5,
inference(avatar_split_clause,[],[f3893,f4787]) ).
fof(f4876,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16) )
| spl156_1 ),
inference(resolution,[],[f4586,f3853]) ).
fof(f4997,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4586,f4046]) ).
fof(f5006,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4586,f4055]) ).
fof(f5021,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4586,f4252]) ).
fof(f5058,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ v13_lattices(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4586,f4289]) ).
fof(f5061,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ v13_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1 ),
inference(resolution,[],[f4586,f4292]) ).
fof(f5370,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ v13_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5061,f4596]) ).
fof(f5372,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl156_1
| ~ spl156_5 ),
inference(forward_subsumption_resolution,[],[f5058,f4789]) ).
fof(f5409,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2 ),
inference(forward_subsumption_resolution,[],[f5021,f4591]) ).
fof(f5423,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2 ),
inference(forward_subsumption_resolution,[],[f5006,f4591]) ).
fof(f5430,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f4997,f4596]) ).
fof(f5551,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16))
| ~ l3_lattices(sK16) )
| spl156_1
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f4876,f4596]) ).
fof(f5760,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1
| ~ spl156_3
| ~ spl156_5 ),
inference(forward_subsumption_resolution,[],[f5370,f4789]) ).
fof(f5762,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl156_1
| ~ spl156_3
| ~ spl156_5 ),
inference(forward_subsumption_resolution,[],[f5372,f4596]) ).
fof(f5786,plain,
( v10_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5430,f4591]) ).
fof(f5906,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_2
| ~ spl156_3 ),
inference(forward_subsumption_resolution,[],[f5551,f4591]) ).
fof(f6026,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5 ),
inference(forward_subsumption_resolution,[],[f5760,f4591]) ).
fof(f6027,plain,
( v14_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5 ),
inference(forward_subsumption_resolution,[],[f5762,f4591]) ).
fof(f6330,plain,
( l3_lattices(k1_lattice2(sK16))
| ~ spl156_2 ),
inference(resolution,[],[f4591,f4043]) ).
fof(f7283,definition,
( spl156_8
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_2(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl156_8])],[avatar_definition]) ).
fof(f7284,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl156_8 ),
inference(avatar_component_clause,[],[f7283]) ).
fof(f7285,plain,
( spl156_8
| spl156_1
| ~ spl156_2
| ~ spl156_3 ),
inference(avatar_split_clause,[],[f5906,f4594,f4589,f4584,f7283]) ).
fof(f7288,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| ~ spl156_8 ),
inference(resolution,[],[f7284,f3740]) ).
fof(f7307,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_2
| ~ spl156_8 ),
inference(forward_subsumption_resolution,[],[f7288,f5423]) ).
fof(f7318,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_8 ),
inference(forward_subsumption_resolution,[],[f7307,f5786]) ).
fof(f7327,plain,
( ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) )
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_8 ),
inference(forward_subsumption_resolution,[],[f7318,f6330]) ).
fof(f7990,definition,
( spl156_13
<=> ! [X0] :
( m2_filter_2(X0,sK16)
| ~ m1_filter_0(X0,k1_lattice2(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl156_13])],[avatar_definition]) ).
fof(f7991,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK16))
| m2_filter_2(X0,sK16) )
| ~ spl156_13 ),
inference(avatar_component_clause,[],[f7990]) ).
fof(f7992,plain,
( spl156_13
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_8 ),
inference(avatar_split_clause,[],[f7327,f7283,f4594,f4589,f4584,f7990]) ).
fof(f8024,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k6_lattices(k1_lattice2(sK16))),sK16)
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| ~ spl156_13 ),
inference(resolution,[],[f7991,f4582]) ).
fof(f8041,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k6_lattices(k1_lattice2(sK16))),sK16)
| ~ v10_lattices(k1_lattice2(sK16))
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f8024,f5423]) ).
fof(f8080,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k6_lattices(k1_lattice2(sK16))),sK16)
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f8041,f5786]) ).
fof(f8117,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k6_lattices(k1_lattice2(sK16))),sK16)
| ~ l3_lattices(k1_lattice2(sK16))
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f8080,f6027]) ).
fof(f8152,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k6_lattices(k1_lattice2(sK16))),sK16)
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f8117,f6330]) ).
fof(f8183,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),sK16)
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5
| ~ spl156_13 ),
inference(forward_demodulation,[],[f8152,f6026]) ).
fof(f8208,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16)
| spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_5
| ~ spl156_13 ),
inference(forward_demodulation,[],[f8183,f5409]) ).
fof(f8217,plain,
( $false
| spl156_1
| ~ spl156_2
| ~ spl156_3
| spl156_4
| ~ spl156_5
| ~ spl156_13 ),
inference(forward_subsumption_resolution,[],[f8208,f4601]) ).
fof(f8218,plain,
( spl156_1
| ~ spl156_2
| ~ spl156_3
| spl156_4
| ~ spl156_5
| ~ spl156_13 ),
inference(avatar_contradiction_clause,[],[f8217]) ).
cnf(s1,plain,
~ spl156_1,
inference(sat_conversion,[],[f4587]) ).
cnf(s2,plain,
spl156_2,
inference(sat_conversion,[],[f4592]) ).
cnf(s3,plain,
spl156_3,
inference(sat_conversion,[],[f4597]) ).
cnf(s4,plain,
~ spl156_4,
inference(sat_conversion,[],[f4602]) ).
cnf(s5,plain,
spl156_5,
inference(sat_conversion,[],[f4790]) ).
cnf(s8,plain,
( spl156_1
| ~ spl156_2
| ~ spl156_3
| spl156_8 ),
inference(sat_conversion,[],[f7285]) ).
cnf(s13,plain,
( spl156_1
| ~ spl156_2
| ~ spl156_3
| ~ spl156_8
| spl156_13 ),
inference(sat_conversion,[],[f7992]) ).
cnf(s14,plain,
( spl156_1
| ~ spl156_2
| ~ spl156_3
| spl156_4
| ~ spl156_5
| ~ spl156_13 ),
inference(sat_conversion,[],[f8218]) ).
cnf(s15,plain,
~ spl156_13,
inference(rat,[],[s14,s2,s5,s4,s3,s1]) ).
cnf(s16,plain,
~ spl156_8,
inference(rat,[],[s13,s15,s2,s3,s1]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s8,s2,s3,s16,s1]) ).
fof(f8219,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT302+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:23:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.92/2.39 % (2082581)Detected formulas, will run a generic FOF schedule.
% 9.92/2.39 % (2082586)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=1451342686:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.92/2.39 % (2082590)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4264428836:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.92/2.39 % (2082591)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3778858646:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.92/2.39 % (2082589)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1287927478:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.92/2.39 % (2082592)dis-21_1_sil=8000:lcm=predicate:random_seed=1624964683:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 9.92/2.39 % (2082587)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=1258810002:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.92/2.39 % (2082588)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=4206672067:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.92/2.39 % (2082589)Refutation not found, incomplete strategy
% 9.92/2.39 % (2082589)------------------------------
% 9.92/2.39 % (2082589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082589)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082589)Termination reason: Refutation not found, incomplete strategy
% 9.92/2.39 % (2082589)Time elapsed: 0.015 s
% 9.92/2.39 % (2082589)Peak memory usage: 91 MB
% 9.92/2.39 % (2082589)Instructions burned: 19 (million)
% 9.92/2.39 % (2082590)Instruction limit reached!
% 9.92/2.39 % (2082590)------------------------------
% 9.92/2.39 % (2082590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082590)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082590)Termination reason: Instruction limit
% 9.92/2.39 % (2082590)Termination phase: Saturation
% 9.92/2.39 % (2082590)Time elapsed: 0.076 s
% 9.92/2.39 % (2082590)Peak memory usage: 93 MB
% 9.92/2.39 % (2082590)Instructions burned: 120 (million)
% 9.92/2.39 % (2082592)Instruction limit reached!
% 9.92/2.39 % (2082592)------------------------------
% 9.92/2.39 % (2082592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082592)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082592)Termination reason: Instruction limit
% 9.92/2.39 % (2082592)Termination phase: Function definition elimination
% 9.92/2.39 % (2082592)Time elapsed: 0.078 s
% 9.92/2.39 % (2082592)Peak memory usage: 93 MB
% 9.92/2.39 % (2082592)Instructions burned: 131 (million)
% 9.92/2.39 % (2082591)Instruction limit reached!
% 9.92/2.39 % (2082591)------------------------------
% 9.92/2.39 % (2082591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082591)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082591)Termination reason: Instruction limit
% 9.92/2.39 % (2082591)Termination phase: Property scanning
% 9.92/2.39 % (2082591)Time elapsed: 0.084 s
% 9.92/2.39 % (2082591)Peak memory usage: 94 MB
% 9.92/2.39 % (2082591)Instructions burned: 139 (million)
% 9.92/2.39 % (2082600)lrs+10_1_sil=8000:sp=occurrence:random_seed=585605804:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.92/2.39 % (2082601)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1300326703:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.92/2.39 % (2082602)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3827234328:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.92/2.39 % (2082601)Refutation not found, incomplete strategy
% 9.92/2.39 % (2082601)------------------------------
% 9.92/2.39 % (2082601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082601)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082601)Termination reason: Refutation not found, incomplete strategy
% 9.92/2.39 % (2082601)Time elapsed: 0.026 s
% 9.92/2.39 % (2082601)Peak memory usage: 92 MB
% 9.92/2.39 % (2082601)Instructions burned: 46 (million)
% 9.92/2.39 % (2082602)Refutation not found, incomplete strategy
% 9.92/2.39 % (2082602)------------------------------
% 9.92/2.39 % (2082602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082602)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082602)Termination reason: Refutation not found, incomplete strategy
% 9.92/2.39 % (2082602)Time elapsed: 0.029 s
% 9.92/2.39 % (2082602)Peak memory usage: 92 MB
% 9.92/2.39 % (2082602)Instructions burned: 38 (million)
% 9.92/2.39 % (2082589)------------------------------
% 9.92/2.39 % (2082589)------------------------------
% 9.92/2.39 % (2082606)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=4241634253:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 9.92/2.39 % (2082600)Instruction limit reached!
% 9.92/2.39 % (2082600)------------------------------
% 9.92/2.39 % (2082600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082600)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082600)Termination reason: Instruction limit
% 9.92/2.39 % (2082600)Termination phase: Saturation
% 9.92/2.39 % (2082600)Time elapsed: 0.188 s
% 9.92/2.39 % (2082600)Peak memory usage: 95 MB
% 9.92/2.39 % (2082600)Instructions burned: 286 (million)
% 9.92/2.39 % (2082602)------------------------------
% 9.92/2.39 % (2082602)------------------------------
% 9.92/2.39 % (2082601)------------------------------
% 9.92/2.39 % (2082601)------------------------------
% 9.92/2.39 % (2082608)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1995607828:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.92/2.39 % (2082606)Instruction limit reached!
% 9.92/2.39 % (2082606)------------------------------
% 9.92/2.39 % (2082606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082606)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082606)Termination reason: Instruction limit
% 9.92/2.39 % (2082606)Termination phase: Saturation
% 9.92/2.39 % (2082606)Time elapsed: 0.142 s
% 9.92/2.39 % (2082606)Peak memory usage: 97 MB
% 9.92/2.39 % (2082606)Instructions burned: 248 (million)
% 9.92/2.39 % (2082609)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1702041794:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.92/2.39 % (2082610)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=594683324:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.92/2.39 % (2082612)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4285357421:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.92/2.39 % (2082608)Instruction limit reached!
% 9.92/2.39 % (2082608)------------------------------
% 9.92/2.39 % (2082608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082608)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082608)Termination reason: Instruction limit
% 9.92/2.39 % (2082608)Termination phase: Saturation
% 9.92/2.39 % (2082608)Time elapsed: 0.163 s
% 9.92/2.39 % (2082608)Peak memory usage: 94 MB
% 9.92/2.39 % (2082608)Instructions burned: 294 (million)
% 9.92/2.39 % (2082610)Instruction limit reached!
% 9.92/2.39 % (2082610)------------------------------
% 9.92/2.39 % (2082610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082610)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082610)Termination reason: Instruction limit
% 9.92/2.39 % (2082610)Termination phase: Saturation
% 9.92/2.39 % (2082610)Time elapsed: 0.064 s
% 9.92/2.39 % (2082610)Peak memory usage: 93 MB
% 9.92/2.39 % (2082610)Instructions burned: 115 (million)
% 9.92/2.39 % (2082612)Instruction limit reached!
% 9.92/2.39 % (2082612)------------------------------
% 9.92/2.39 % (2082612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082612)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082612)Termination reason: Instruction limit
% 9.92/2.39 % (2082612)Termination phase: Property scanning
% 9.92/2.39 % (2082612)Time elapsed: 0.074 s
% 9.92/2.39 % (2082612)Peak memory usage: 94 MB
% 9.92/2.39 % (2082612)Instructions burned: 127 (million)
% 9.92/2.39 % (2082616)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1833207616:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.92/2.39 % (2082617)lrs+10_1_sil=8000:sp=occurrence:random_seed=2620357521:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.92/2.39 % (2082618)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=72648241:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.92/2.39 % (2082616)Instruction limit reached!
% 9.92/2.39 % (2082616)------------------------------
% 9.92/2.39 % (2082616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082616)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082616)Termination reason: Instruction limit
% 9.92/2.39 % (2082616)Termination phase: Property scanning
% 9.92/2.39 % (2082616)Time elapsed: 0.056 s
% 9.92/2.39 % (2082616)Peak memory usage: 91 MB
% 9.92/2.39 % (2082616)Instructions burned: 115 (million)
% 9.92/2.39 % (2082618)Refutation not found, incomplete strategy
% 9.92/2.39 % (2082618)------------------------------
% 9.92/2.39 % (2082618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.39 % (2082618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.39 % (2082618)CaDiCaL version: 2.1.3
% 9.92/2.39 % (2082618)Termination reason: Refutation not found, incomplete strategy
% 9.92/2.39 % (2082618)Time elapsed: 0.039 s
% 9.92/2.39 % (2082618)Peak memory usage: 93 MB
% 9.92/2.39 % (2082618)Instructions burned: 68 (million)
% 9.92/2.39 % (2082622)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2124290626:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 9.92/2.39 % (2082588)First to succeed.
% 9.92/2.39 % (2082588)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2082581"
% 9.92/2.39 % (2082586)Also succeeded, but the first one will report.
% 9.92/2.39 % (2082618)------------------------------
% 9.92/2.39 % (2082618)------------------------------
% 9.92/2.39 % (2082588)Refutation found. Thanks to Tanya!
% 9.92/2.39 % SZS status Theorem for theBenchmark
% 9.92/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 10.72/2.59 % (2082588)------------------------------
% 10.72/2.59 % (2082588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (2082588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (2082588)CaDiCaL version: 2.1.3
% 10.72/2.59 % (2082588)Termination reason: Refutation
% 10.72/2.59 % (2082588)Time elapsed: 1.014 s
% 10.72/2.59 % (2082588)Peak memory usage: 144 MB
% 10.72/2.59 % (2082588)Instructions burned: 1628 (million)
% 10.72/2.59 % (2082588)------------------------------
% 10.72/2.59 % (2082588)------------------------------
% 10.72/2.59 % (2082581)Success in time 1.529 s
% 10.72/2.59 % Vampire exiting
%------------------------------------------------------------------------------