%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT305+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 6.27s 1.94s
% Output : Refutation 0.16s
% 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(f6650,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(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6747,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(f6757,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(f13567,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(f13607,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(f13615,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(f13617,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(f13618,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)],[f13617]) ).
fof(f13659,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,[],[f13618]) ).
fof(f13660,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,[],[f13659]) ).
fof(f13706,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,[],[f13607]) ).
fof(f13707,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,[],[f13706]) ).
fof(f13778,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,[],[f13615]) ).
fof(f13779,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,[],[f13778]) ).
fof(f13782,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,[],[f13567]) ).
fof(f13783,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,[],[f13782]) ).
fof(f14211,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,[],[f6747]) ).
fof(f14212,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,[],[f14211]) ).
fof(f14433,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f6757]) ).
fof(f14434,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f14433]) ).
fof(f14467,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f14488,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,[],[f6650]) ).
fof(f14489,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,[],[f14488]) ).
fof(f14584,plain,
( ( ~ r2_hidden(sK15,k18_filter_2(sK14,sK15))
| ~ r2_hidden(k4_lattices(sK14,sK15,sK16),k18_filter_2(sK14,sK15))
| ~ r2_hidden(k4_lattices(sK14,sK16,sK15),k18_filter_2(sK14,sK15)) )
& m1_subset_1(sK16,u1_struct_0(sK14))
& m1_subset_1(sK15,u1_struct_0(sK14))
& ~ v3_struct_0(sK14)
& v10_lattices(sK14)
& l3_lattices(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16)],[f13660]) ).
fof(f14648,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,[],[f13779]) ).
fof(f14913,plain,
l3_lattices(sK14),
inference(cnf_transformation,[],[f14584]) ).
fof(f14914,plain,
v10_lattices(sK14),
inference(cnf_transformation,[],[f14584]) ).
fof(f14915,plain,
~ v3_struct_0(sK14),
inference(cnf_transformation,[],[f14584]) ).
fof(f14916,plain,
m1_subset_1(sK15,u1_struct_0(sK14)),
inference(cnf_transformation,[],[f14584]) ).
fof(f14917,plain,
m1_subset_1(sK16,u1_struct_0(sK14)),
inference(cnf_transformation,[],[f14584]) ).
fof(f14918,plain,
( ~ r2_hidden(sK15,k18_filter_2(sK14,sK15))
| ~ r2_hidden(k4_lattices(sK14,sK15,sK16),k18_filter_2(sK14,sK15))
| ~ r2_hidden(k4_lattices(sK14,sK16,sK15),k18_filter_2(sK14,sK15)) ),
inference(cnf_transformation,[],[f14584]) ).
fof(f14996,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,[],[f13707]) ).
fof(f14997,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,[],[f13707]) ).
fof(f15091,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,[],[f14648]) ).
fof(f15093,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,[],[f13783]) ).
fof(f15671,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,[],[f14212]) ).
fof(f16054,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f14434]) ).
fof(f16092,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f14467]) ).
fof(f16180,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14489]) ).
fof(f16181,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14489]) ).
fof(f16183,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14489]) ).
fof(f16581,definition,
( spl231_1
<=> r2_hidden(k4_lattices(sK14,sK16,sK15),k18_filter_2(sK14,sK15)) ),
introduced(definition,[new_symbols(definition,[spl231_1])],[avatar_definition]) ).
fof(f16583,plain,
( ~ r2_hidden(k4_lattices(sK14,sK16,sK15),k18_filter_2(sK14,sK15))
| spl231_1 ),
inference(avatar_component_clause,[],[f16581]) ).
fof(f16585,definition,
( spl231_2
<=> r2_hidden(k4_lattices(sK14,sK15,sK16),k18_filter_2(sK14,sK15)) ),
introduced(definition,[new_symbols(definition,[spl231_2])],[avatar_definition]) ).
fof(f16587,plain,
( ~ r2_hidden(k4_lattices(sK14,sK15,sK16),k18_filter_2(sK14,sK15))
| spl231_2 ),
inference(avatar_component_clause,[],[f16585]) ).
fof(f16589,definition,
( spl231_3
<=> r2_hidden(sK15,k18_filter_2(sK14,sK15)) ),
introduced(definition,[new_symbols(definition,[spl231_3])],[avatar_definition]) ).
fof(f16590,plain,
( r2_hidden(sK15,k18_filter_2(sK14,sK15))
| ~ spl231_3 ),
inference(avatar_component_clause,[],[f16589]) ).
fof(f16591,plain,
( ~ r2_hidden(sK15,k18_filter_2(sK14,sK15))
| spl231_3 ),
inference(avatar_component_clause,[],[f16589]) ).
fof(f16592,plain,
( ~ spl231_1
| ~ spl231_2
| ~ spl231_3 ),
inference(avatar_split_clause,[],[f14918,f16589,f16585,f16581]) ).
fof(f16594,plain,
l1_lattices(sK14),
inference(resolution,[],[f14913,f16092]) ).
fof(f16618,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_3 ),
inference(resolution,[],[f16591,f15091]) ).
fof(f16619,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_3 ),
inference(duplicate_literal_removal,[],[f16618]) ).
fof(f16620,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16619,f14916]) ).
fof(f16621,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16620,f14915]) ).
fof(f16622,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| ~ l3_lattices(sK14)
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16621,f14914]) ).
fof(f16623,plain,
( ~ r3_lattices(sK14,sK15,sK15)
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16622,f14913]) ).
fof(f16628,plain,
( ~ r2_hidden(sK15,k18_filter_2(sK14,sK15))
| ~ m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1 ),
inference(resolution,[],[f16583,f14996]) ).
fof(f16671,definition,
( spl231_12
<=> m2_filter_2(k18_filter_2(sK14,sK15),sK14) ),
introduced(definition,[new_symbols(definition,[spl231_12])],[avatar_definition]) ).
fof(f16672,plain,
( m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| ~ spl231_12 ),
inference(avatar_component_clause,[],[f16671]) ).
fof(f16673,plain,
( ~ m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| spl231_12 ),
inference(avatar_component_clause,[],[f16671]) ).
fof(f16704,plain,
( ~ r2_hidden(sK15,k18_filter_2(sK14,sK15))
| ~ m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2 ),
inference(resolution,[],[f16587,f14997]) ).
fof(f16748,plain,
( ! [X0] :
( v3_struct_0(sK14)
| ~ v6_lattices(sK14)
| ~ v8_lattices(sK14)
| ~ v9_lattices(sK14)
| ~ l3_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| ~ m1_subset_1(X0,u1_struct_0(sK14)) )
| spl231_3 ),
inference(resolution,[],[f16623,f15671]) ).
fof(f16752,plain,
( ! [X0] :
( ~ v6_lattices(sK14)
| ~ v8_lattices(sK14)
| ~ v9_lattices(sK14)
| ~ l3_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| ~ m1_subset_1(X0,u1_struct_0(sK14)) )
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16748,f14915]) ).
fof(f16754,plain,
( ! [X0] :
( ~ v6_lattices(sK14)
| ~ v8_lattices(sK14)
| ~ v9_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| ~ m1_subset_1(X0,u1_struct_0(sK14)) )
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16752,f14913]) ).
fof(f16756,plain,
( ! [X0] :
( ~ v6_lattices(sK14)
| ~ v8_lattices(sK14)
| ~ v9_lattices(sK14)
| ~ m1_subset_1(X0,u1_struct_0(sK14)) )
| spl231_3 ),
inference(forward_subsumption_resolution,[],[f16754,f14916]) ).
fof(f16758,definition,
( spl231_21
<=> v9_lattices(sK14) ),
introduced(definition,[new_symbols(definition,[spl231_21])],[avatar_definition]) ).
fof(f16760,plain,
( ~ v9_lattices(sK14)
| spl231_21 ),
inference(avatar_component_clause,[],[f16758]) ).
fof(f16762,definition,
( spl231_22
<=> v8_lattices(sK14) ),
introduced(definition,[new_symbols(definition,[spl231_22])],[avatar_definition]) ).
fof(f16764,plain,
( ~ v8_lattices(sK14)
| spl231_22 ),
inference(avatar_component_clause,[],[f16762]) ).
fof(f16766,definition,
( spl231_23
<=> v6_lattices(sK14) ),
introduced(definition,[new_symbols(definition,[spl231_23])],[avatar_definition]) ).
fof(f16768,plain,
( ~ v6_lattices(sK14)
| spl231_23 ),
inference(avatar_component_clause,[],[f16766]) ).
fof(f16775,definition,
( spl231_25
<=> ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK14)) ),
introduced(definition,[new_symbols(definition,[spl231_25])],[avatar_definition]) ).
fof(f16776,plain,
( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sK14))
| ~ spl231_25 ),
inference(avatar_component_clause,[],[f16775]) ).
fof(f16777,plain,
( spl231_25
| ~ spl231_21
| ~ spl231_22
| ~ spl231_23
| spl231_3 ),
inference(avatar_split_clause,[],[f16756,f16589,f16766,f16762,f16758,f16775]) ).
fof(f16778,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_21 ),
inference(resolution,[],[f16760,f16180]) ).
fof(f16781,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_21 ),
inference(forward_subsumption_resolution,[],[f16778,f14915]) ).
fof(f16783,plain,
( ~ l3_lattices(sK14)
| spl231_21 ),
inference(forward_subsumption_resolution,[],[f16781,f14914]) ).
fof(f16786,plain,
( $false
| spl231_21 ),
inference(forward_subsumption_resolution,[],[f16783,f14913]) ).
fof(f16787,plain,
spl231_21,
inference(avatar_contradiction_clause,[],[f16786]) ).
fof(f16788,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| spl231_12 ),
inference(resolution,[],[f16673,f15093]) ).
fof(f16789,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| spl231_12 ),
inference(forward_subsumption_resolution,[],[f16788,f14915]) ).
fof(f16790,plain,
( ~ l3_lattices(sK14)
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| spl231_12 ),
inference(forward_subsumption_resolution,[],[f16789,f14914]) ).
fof(f16791,plain,
( ~ m1_subset_1(sK15,u1_struct_0(sK14))
| spl231_12 ),
inference(forward_subsumption_resolution,[],[f16790,f14913]) ).
fof(f16792,plain,
( $false
| spl231_12 ),
inference(forward_subsumption_resolution,[],[f16791,f14916]) ).
fof(f16793,plain,
spl231_12,
inference(avatar_contradiction_clause,[],[f16792]) ).
fof(f16804,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_22 ),
inference(resolution,[],[f16764,f16181]) ).
fof(f16807,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_22 ),
inference(forward_subsumption_resolution,[],[f16804,f14915]) ).
fof(f16809,plain,
( ~ l3_lattices(sK14)
| spl231_22 ),
inference(forward_subsumption_resolution,[],[f16807,f14914]) ).
fof(f16812,plain,
( $false
| spl231_22 ),
inference(forward_subsumption_resolution,[],[f16809,f14913]) ).
fof(f16813,plain,
spl231_22,
inference(avatar_contradiction_clause,[],[f16812]) ).
fof(f16821,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_23 ),
inference(resolution,[],[f16768,f16183]) ).
fof(f16824,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_23 ),
inference(forward_subsumption_resolution,[],[f16821,f14915]) ).
fof(f16826,plain,
( ~ l3_lattices(sK14)
| spl231_23 ),
inference(forward_subsumption_resolution,[],[f16824,f14914]) ).
fof(f16829,plain,
( $false
| spl231_23 ),
inference(forward_subsumption_resolution,[],[f16826,f14913]) ).
fof(f16830,plain,
spl231_23,
inference(avatar_contradiction_clause,[],[f16829]) ).
fof(f16832,plain,
( ~ m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3 ),
inference(forward_subsumption_resolution,[],[f16628,f16590]) ).
fof(f16833,plain,
( ~ m2_filter_2(k18_filter_2(sK14,sK15),sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3 ),
inference(forward_subsumption_resolution,[],[f16704,f16590]) ).
fof(f16835,plain,
( ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16832,f16672]) ).
fof(f16836,plain,
( ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16833,f16672]) ).
fof(f16838,plain,
( ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16835,f14917]) ).
fof(f16839,plain,
( ~ m1_subset_1(sK15,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16836,f14917]) ).
fof(f16841,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16838,f14916]) ).
fof(f16842,plain,
( v3_struct_0(sK14)
| ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16839,f14916]) ).
fof(f16844,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16841,f14915]) ).
fof(f16845,plain,
( ~ v10_lattices(sK14)
| ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16842,f14915]) ).
fof(f16847,plain,
( ~ l3_lattices(sK14)
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16844,f14914]) ).
fof(f16848,plain,
( ~ l3_lattices(sK14)
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16845,f14914]) ).
fof(f16858,plain,
( $false
| spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16847,f14913]) ).
fof(f16859,plain,
( spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(avatar_contradiction_clause,[],[f16858]) ).
fof(f16860,plain,
( $false
| spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(forward_subsumption_resolution,[],[f16848,f14913]) ).
fof(f16861,plain,
( spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(avatar_contradiction_clause,[],[f16860]) ).
fof(f16897,plain,
( v3_struct_0(sK14)
| ~ l1_lattices(sK14)
| ~ spl231_25 ),
inference(resolution,[],[f16776,f16054]) ).
fof(f17038,plain,
( ~ l1_lattices(sK14)
| ~ spl231_25 ),
inference(forward_subsumption_resolution,[],[f16897,f14915]) ).
fof(f17077,plain,
( $false
| ~ spl231_25 ),
inference(forward_subsumption_resolution,[],[f17038,f16594]) ).
fof(f17078,plain,
~ spl231_25,
inference(avatar_contradiction_clause,[],[f17077]) ).
cnf(s1,plain,
( ~ spl231_1
| ~ spl231_2
| ~ spl231_3 ),
inference(sat_conversion,[],[f16592]) ).
cnf(s14,plain,
( spl231_3
| ~ spl231_21
| ~ spl231_22
| ~ spl231_23
| spl231_25 ),
inference(sat_conversion,[],[f16777]) ).
cnf(s16,plain,
spl231_21,
inference(sat_conversion,[],[f16787]) ).
cnf(s17,plain,
spl231_12,
inference(sat_conversion,[],[f16793]) ).
cnf(s19,plain,
spl231_22,
inference(sat_conversion,[],[f16813]) ).
cnf(s21,plain,
spl231_23,
inference(sat_conversion,[],[f16830]) ).
cnf(s23,plain,
( spl231_1
| ~ spl231_3
| ~ spl231_12 ),
inference(sat_conversion,[],[f16859]) ).
cnf(s24,plain,
( spl231_2
| ~ spl231_3
| ~ spl231_12 ),
inference(sat_conversion,[],[f16861]) ).
cnf(s29,plain,
~ spl231_25,
inference(sat_conversion,[],[f17078]) ).
cnf(s36,plain,
spl231_3,
inference(rat,[],[s14,s29,s21,s19,s16]) ).
cnf(s37,plain,
spl231_2,
inference(rat,[],[s24,s17,s36]) ).
cnf(s38,plain,
spl231_1,
inference(rat,[],[s23,s17,s36]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s1,s36,s37,s38]) ).
fof(f17119,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT305+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:26:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 6.27/1.94 % (1013407)Detected formulas, will run a generic FOF schedule.
% 6.27/1.94 % (1013417)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3817718148:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 6.27/1.94 % (1013418)dis-21_1_sil=8000:lcm=predicate:random_seed=1351401291:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 6.27/1.94 % (1013416)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=926937609:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 6.27/1.94 % (1013415)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1289257654:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 6.27/1.94 % (1013413)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=3560966227:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 6.27/1.94 % (1013414)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=2324084416:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 6.27/1.94 % (1013412)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=471412757:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 6.27/1.94 % (1013417)Instruction limit reached!
% 6.27/1.94 % (1013417)------------------------------
% 6.27/1.94 % (1013417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013417)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013417)Termination reason: Instruction limit
% 6.27/1.94 % (1013417)Termination phase: Property scanning
% 6.27/1.94 % (1013417)Time elapsed: 0.031 s
% 6.27/1.94 % (1013417)Peak memory usage: 102 MB
% 6.27/1.94 % (1013417)Instructions burned: 144 (million)
% 6.27/1.94 % (1013415)Refutation not found, incomplete strategy
% 6.27/1.94 % (1013415)------------------------------
% 6.27/1.94 % (1013415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013415)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013415)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.94 % (1013415)Time elapsed: 0.065 s
% 6.27/1.94 % (1013415)Peak memory usage: 107 MB
% 6.27/1.94 % (1013415)Instructions burned: 80 (million)
% 6.27/1.94 % (1013416)Instruction limit reached!
% 6.27/1.94 % (1013416)------------------------------
% 6.27/1.94 % (1013416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013416)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013416)Termination reason: Instruction limit
% 6.27/1.94 % (1013416)Termination phase: Function definition elimination
% 6.27/1.94 % (1013416)Time elapsed: 0.091 s
% 6.27/1.94 % (1013416)Peak memory usage: 105 MB
% 6.27/1.94 % (1013416)Instructions burned: 119 (million)
% 6.27/1.94 % (1013418)Instruction limit reached!
% 6.27/1.94 % (1013418)------------------------------
% 6.27/1.94 % (1013418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013418)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013418)Termination reason: Instruction limit
% 6.27/1.94 % (1013418)Termination phase: Preprocessing 1
% 6.27/1.94 % (1013418)Time elapsed: 0.094 s
% 6.27/1.94 % (1013418)Peak memory usage: 104 MB
% 6.27/1.94 % (1013418)Instructions burned: 129 (million)
% 6.27/1.94 % (1013426)lrs+10_1_sil=8000:sp=occurrence:random_seed=2065224:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.27/1.94 % (1013427)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1710553425:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 6.27/1.94 % (1013428)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2444191089:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.27/1.94 % (1013426)Instruction limit reached!
% 6.27/1.94 % (1013426)------------------------------
% 6.27/1.94 % (1013426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013426)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013426)Termination reason: Instruction limit
% 6.27/1.94 % (1013426)Termination phase: Saturation
% 6.27/1.94 % (1013426)Time elapsed: 0.109 s
% 6.27/1.94 % (1013426)Peak memory usage: 109 MB
% 6.27/1.94 % (1013426)Instructions burned: 286 (million)
% 6.27/1.94 % (1013415)------------------------------
% 6.27/1.94 % (1013415)------------------------------
% 6.27/1.94 % (1013427)Instruction limit reached!
% 6.27/1.94 % (1013427)------------------------------
% 6.27/1.94 % (1013427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013427)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013427)Termination reason: Instruction limit
% 6.27/1.94 % (1013427)Termination phase: Property scanning
% 6.27/1.94 % (1013427)Time elapsed: 0.067 s
% 6.27/1.94 % (1013427)Peak memory usage: 102 MB
% 6.27/1.94 % (1013427)Instructions burned: 157 (million)
% 6.27/1.94 % (1013428)Refutation not found, incomplete strategy
% 6.27/1.94 % (1013428)------------------------------
% 6.27/1.94 % (1013428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013428)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013428)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.94 % (1013428)Time elapsed: 0.101 s
% 6.27/1.94 % (1013428)Peak memory usage: 107 MB
% 6.27/1.94 % (1013428)Instructions burned: 128 (million)
% 6.27/1.94 % (1013432)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=4165234136:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.27/1.94 % (1013432)Instruction limit reached!
% 6.27/1.94 % (1013432)------------------------------
% 6.27/1.94 % (1013432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013432)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013432)Termination reason: Instruction limit
% 6.27/1.94 % (1013432)Termination phase: SInE selection
% 6.27/1.94 % (1013432)Time elapsed: 0.071 s
% 6.27/1.94 % (1013432)Peak memory usage: 103 MB
% 6.27/1.94 % (1013432)Instructions burned: 248 (million)
% 6.27/1.94 % (1013433)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2408149420:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 6.27/1.94 % (1013434)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3423700128:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.27/1.94 % (1013436)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=668899617:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 6.27/1.94 % (1013428)------------------------------
% 6.27/1.94 % (1013428)------------------------------
% 6.27/1.94 % (1013433)First to succeed.
% 6.27/1.94 % (1013433)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1013407"
% 6.27/1.94 % (1013436)Instruction limit reached!
% 6.27/1.94 % (1013436)------------------------------
% 6.27/1.94 % (1013436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013436)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013436)Termination reason: Instruction limit
% 6.27/1.94 % (1013436)Termination phase: Preprocessing 3
% 6.27/1.94 % (1013436)Time elapsed: 0.055 s
% 6.27/1.94 % (1013436)Peak memory usage: 105 MB
% 6.27/1.94 % (1013436)Instructions burned: 115 (million)
% 6.27/1.94 % (1013440)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3397150523:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 6.27/1.94 % (1013441)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=934788886:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 6.27/1.94 % (1013441)Instruction limit reached!
% 6.27/1.94 % (1013441)------------------------------
% 6.27/1.94 % (1013441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013441)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013441)Termination reason: Instruction limit
% 6.27/1.94 % (1013441)Termination phase: Property scanning
% 6.27/1.94 % (1013441)Time elapsed: 0.027 s
% 6.27/1.94 % (1013441)Peak memory usage: 102 MB
% 6.27/1.94 % (1013441)Instructions burned: 117 (million)
% 6.27/1.94 % (1013440)Instruction limit reached!
% 6.27/1.94 % (1013440)------------------------------
% 6.27/1.94 % (1013440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.94 % (1013440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.94 % (1013440)CaDiCaL version: 2.1.3
% 6.27/1.94 % (1013440)Termination reason: Instruction limit
% 6.27/1.94 % (1013440)Termination phase: Preprocessing 2
% 6.27/1.94 % (1013440)Time elapsed: 0.100 s
% 6.27/1.94 % (1013440)Peak memory usage: 106 MB
% 6.27/1.94 % (1013440)Instructions burned: 127 (million)
% 6.27/1.94 % (1013433)Refutation found. Thanks to Tanya!
% 6.27/1.94 % SZS status Theorem for theBenchmark
% 6.27/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.15 % (1013433)------------------------------
% 0.16/2.15 % (1013433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.15 % (1013433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.15 % (1013433)CaDiCaL version: 2.1.3
% 0.16/2.15 % (1013433)Termination reason: Refutation
% 0.16/2.15 % (1013433)Time elapsed: 0.139 s
% 0.16/2.15 % (1013433)Peak memory usage: 110 MB
% 0.16/2.15 % (1013433)Instructions burned: 205 (million)
% 0.16/2.15 % (1013433)------------------------------
% 0.16/2.15 % (1013433)------------------------------
% 0.16/2.15 % (1013407)Success in time 1.324 s
% 0.16/2.15 % Vampire exiting
%------------------------------------------------------------------------------