%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT327+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:48:26 AM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 16 unt; 2 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 453 ( 181 ~; 193 |; 58 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X1,k22_filter_2(X0,X1,X2))
& r2_hidden(X2,k22_filter_2(X0,X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f44,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] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k22_filter_2(X0,X1,X2))
| ~ r2_hidden(X2,k22_filter_2(X0,X1,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,[],[f2]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k22_filter_2(X0,X1,X2))
| ~ r2_hidden(X2,k22_filter_2(X0,X1,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,[],[f48]) ).
fof(f74,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,[],[f33]) ).
fof(f75,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,[],[f74]) ).
fof(f81,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,[],[f41]) ).
fof(f82,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,[],[f81]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(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,[],[f44]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(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,[],[f85]) ).
fof(f87,plain,
( ( ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK2))
| ~ r2_hidden(sK2,k22_filter_2(sK0,sK1,sK2)) )
& r3_lattices(sK0,sK1,sK2)
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f49]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(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(nnf_transformation,[],[f86]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(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,[],[f102]) ).
fof(f104,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f105,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f106,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f107,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f87]) ).
fof(f108,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f87]) ).
fof(f109,plain,
r3_lattices(sK0,sK1,sK2),
inference(cnf_transformation,[],[f87]) ).
fof(f110,plain,
( ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK2))
| ~ r2_hidden(sK2,k22_filter_2(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f152,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f153,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f155,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(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,[],[f103]) ).
fof(f165,definition,
( spl16_1
<=> r2_hidden(sK2,k22_filter_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f167,plain,
( ~ r2_hidden(sK2,k22_filter_2(sK0,sK1,sK2))
| spl16_1 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl16_2
<=> r2_hidden(sK1,k22_filter_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f171,plain,
( ~ r2_hidden(sK1,k22_filter_2(sK0,sK1,sK2))
| spl16_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f110,f169,f165]) ).
fof(f220,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(resolution,[],[f152,f104]) ).
fof(f235,plain,
( ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f220,f106]) ).
fof(f236,plain,
v9_lattices(sK0),
inference(forward_subsumption_resolution,[],[f235,f105]) ).
fof(f237,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(resolution,[],[f153,f104]) ).
fof(f244,plain,
( ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f237,f106]) ).
fof(f245,plain,
v8_lattices(sK0),
inference(forward_subsumption_resolution,[],[f244,f105]) ).
fof(f255,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(resolution,[],[f155,f104]) ).
fof(f262,plain,
( ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f255,f106]) ).
fof(f263,plain,
v6_lattices(sK0),
inference(forward_subsumption_resolution,[],[f262,f105]) ).
fof(f333,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(resolution,[],[f143,f108]) ).
fof(f335,plain,
! [X0] :
( ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f333,f106]) ).
fof(f337,plain,
! [X0] :
( ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f335,f263]) ).
fof(f339,plain,
! [X0] :
( ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f337,f245]) ).
fof(f341,plain,
! [X0] :
( ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f339,f236]) ).
fof(f343,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r3_lattices(sK0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f341,f104]) ).
fof(f345,plain,
r3_lattices(sK0,sK1,sK1),
inference(resolution,[],[f343,f107]) ).
fof(f375,plain,
( ~ r3_lattices(sK0,sK1,sK2)
| ~ r3_lattices(sK0,sK2,sK2)
| ~ r3_lattices(sK0,sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(resolution,[],[f163,f167]) ).
fof(f383,plain,
( ~ r3_lattices(sK0,sK1,sK2)
| ~ r3_lattices(sK0,sK2,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(duplicate_literal_removal,[],[f375]) ).
fof(f384,plain,
( ~ r3_lattices(sK0,sK2,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f383,f109]) ).
fof(f385,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f384,f343]) ).
fof(f386,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f385,f108]) ).
fof(f387,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f386,f107]) ).
fof(f388,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f387,f106]) ).
fof(f389,plain,
( ~ l3_lattices(sK0)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f388,f105]) ).
fof(f390,plain,
( $false
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f389,f104]) ).
fof(f391,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f401,plain,
( ~ r3_lattices(sK0,sK1,sK1)
| ~ r3_lattices(sK0,sK1,sK2)
| ~ r3_lattices(sK0,sK1,sK2)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(resolution,[],[f171,f163]) ).
fof(f402,plain,
( ~ r3_lattices(sK0,sK1,sK1)
| ~ r3_lattices(sK0,sK1,sK2)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f403,plain,
( ~ r3_lattices(sK0,sK1,sK2)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f402,f345]) ).
fof(f404,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f403,f109]) ).
fof(f405,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f404,f107]) ).
fof(f406,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f405,f108]) ).
fof(f407,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f406,f106]) ).
fof(f408,plain,
( ~ l3_lattices(sK0)
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f407,f105]) ).
fof(f409,plain,
( $false
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f408,f104]) ).
fof(f410,plain,
spl16_2,
inference(avatar_contradiction_clause,[],[f409]) ).
cnf(s1,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s16,plain,
spl16_1,
inference(sat_conversion,[],[f391]) ).
cnf(s17,plain,
spl16_2,
inference(sat_conversion,[],[f410]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s17,s16]) ).
fof(f411,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT327+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n015.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
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 14:42:57 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.49 % (1728702)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (1728707)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=316208781_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (1728708)% WARNING: option uhcvi not known.
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (1728709)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=293461567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (1728708)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=613830998:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (1728710)dis+10_1_sil=32000:sp=arity:random_seed=4171858965:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (1728711)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2595451796:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (1728712)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1628027231:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (1728713)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3530684556:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [5]
% 0.17/0.49 % (1728710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1728702-1728710"...
% 0.17/0.49 % (1728710)...printing done.
% 0.17/0.49 % (1728710)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (1728710)------------------------------
% 0.17/0.49 % (1728710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (1728710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (1728710)CaDiCaL version: 2.1.3
% 0.17/0.49 % (1728710)Termination reason: Refutation
% 0.17/0.49 % (1728710)Time elapsed: 0.008 s
% 0.17/0.49 % (1728710)Peak memory usage: 12 MB
% 0.17/0.49 % (1728710)Instructions burned: 10 (million)
% 0.17/0.49 % (1728702)Success in time 0.052 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------