%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT308+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:46 AM UTC 2026
% Result : Theorem 18.09s 4.61s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 140 ( 32 unt; 4 def)
% Number of atoms : 529 ( 126 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 650 ( 261 ~; 273 |; 86 &)
% ( 4 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 141 ( 0 sgn 135 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8589,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f8598,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))
=> k4_lattices(X0,X1,X2) = X1 )
& k2_filter_0(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,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/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9427,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(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X1 = X3
& X2 = X4 )
=> ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f13541,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f13596,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f13613,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f13616,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f13622,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))
=> k3_lattices(X0,X1,X2) = X1 )
& k18_filter_2(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_filter_2) ).
fof(f13623,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))
=> k3_lattices(X0,X1,X2) = X1 )
& k18_filter_2(X0,X1) = u1_struct_0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f13622]) ).
fof(f13690,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13541]) ).
fof(f13691,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f13690]) ).
fof(f13797,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13596]) ).
fof(f13798,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13797]) ).
fof(f13831,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13613]) ).
fof(f13832,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13831]) ).
fof(f13837,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13616]) ).
fof(f13838,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13837]) ).
fof(f13849,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(X0,X1,X2) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& k18_filter_2(X0,X1) = 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,[],[f13623]) ).
fof(f13850,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(X0,X1,X2) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& k18_filter_2(X0,X1) = u1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13849]) ).
fof(f13911,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8589]) ).
fof(f13912,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13911]) ).
fof(f13917,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8598]) ).
fof(f13918,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13917]) ).
fof(f13975,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(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,[],[f9427]) ).
fof(f13976,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4)
& k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(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,[],[f13975]) ).
fof(f13977,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,[],[f9391]) ).
fof(f13978,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,[],[f13977]) ).
fof(f13990,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f13993,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9363]) ).
fof(f13994,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13993]) ).
fof(f13995,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f13996,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13995]) ).
fof(f18218,plain,
( sK38 != k3_lattices(sK37,sK38,sK39)
& m1_subset_1(sK39,u1_struct_0(sK37))
& u1_struct_0(sK37) = k18_filter_2(sK37,sK38)
& m1_subset_1(sK38,u1_struct_0(sK37))
& ~ v3_struct_0(sK37)
& v10_lattices(sK37)
& l3_lattices(sK37) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39]),skolemize(X0,sK37),skolemize(X1,sK38),skolemize(X2,sK39)],[f13850]) ).
fof(f19672,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13691]) ).
fof(f19761,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k5_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13798]) ).
fof(f19800,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13832]) ).
fof(f19805,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13838]) ).
fof(f19821,plain,
l3_lattices(sK37),
inference(cnf_transformation,[],[f18218]) ).
fof(f19822,plain,
v10_lattices(sK37),
inference(cnf_transformation,[],[f18218]) ).
fof(f19823,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f18218]) ).
fof(f19824,plain,
m1_subset_1(sK38,u1_struct_0(sK37)),
inference(cnf_transformation,[],[f18218]) ).
fof(f19825,plain,
u1_struct_0(sK37) = k18_filter_2(sK37,sK38),
inference(cnf_transformation,[],[f18218]) ).
fof(f19826,plain,
m1_subset_1(sK39,u1_struct_0(sK37)),
inference(cnf_transformation,[],[f18218]) ).
fof(f19827,plain,
sK38 != k3_lattices(sK37,sK38,sK39),
inference(cnf_transformation,[],[f18218]) ).
fof(f19896,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13912]) ).
fof(f19899,plain,
! [X2,X0,X1] :
( u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13918]) ).
fof(f19955,plain,
! [X2,X3,X0,X1,X4] :
( k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4)
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(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,[],[f13976]) ).
fof(f19959,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f13978]) ).
fof(f19981,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13990]) ).
fof(f19984,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13994]) ).
fof(f19994,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13996]) ).
fof(f27068,plain,
! [X2,X3,X0,X4] :
( k3_lattices(X0,X3,X2) = k4_lattices(k1_lattice2(X0),X3,X4)
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f19955]) ).
fof(f27069,plain,
! [X3,X0,X4] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| k4_lattices(k1_lattice2(X0),X3,X4) = k3_lattices(X0,X3,X4)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f27068]) ).
fof(f28549,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| v3_struct_0(sK37)
| k18_filter_2(sK37,X0) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,X0))
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f19805,f19822]) ).
fof(f28550,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| k18_filter_2(sK37,X0) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,X0))
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28549,f19823]) ).
fof(f28551,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| k18_filter_2(sK37,X0) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,X0)) ),
inference(forward_subsumption_resolution,[],[f28550,f19821]) ).
fof(f28552,plain,
( v3_struct_0(sK37)
| u1_struct_0(sK37) = k17_filter_2(sK37)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f19800,f19822]) ).
fof(f28553,plain,
( u1_struct_0(sK37) = k17_filter_2(sK37)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28552,f19823]) ).
fof(f28554,plain,
u1_struct_0(sK37) = k17_filter_2(sK37),
inference(forward_subsumption_resolution,[],[f28553,f19821]) ).
fof(f28567,plain,
k18_filter_2(sK37,sK38) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,sK38)),
inference(resolution,[],[f28551,f19824]) ).
fof(f28569,plain,
u1_struct_0(sK37) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,sK38)),
inference(forward_demodulation,[],[f28567,f19825]) ).
fof(f28571,plain,
k17_filter_2(sK37) = k2_filter_2(k1_lattice2(sK37),k5_filter_2(sK37,sK38)),
inference(forward_demodulation,[],[f28569,f28554]) ).
fof(f28577,plain,
( v3_struct_0(sK37)
| u1_struct_0(sK37) = k1_filter_0(sK37)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f19896,f19822]) ).
fof(f28578,plain,
( u1_struct_0(sK37) = k1_filter_0(sK37)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28577,f19823]) ).
fof(f28579,plain,
u1_struct_0(sK37) = k1_filter_0(sK37),
inference(forward_subsumption_resolution,[],[f28578,f19821]) ).
fof(f28583,plain,
k17_filter_2(sK37) = k1_filter_0(sK37),
inference(superposition,[],[f28554,f28579]) ).
fof(f28584,plain,
m1_subset_1(sK38,k1_filter_0(sK37)),
inference(superposition,[],[f19824,f28579]) ).
fof(f28585,plain,
m1_subset_1(sK39,k1_filter_0(sK37)),
inference(superposition,[],[f19826,f28579]) ).
fof(f28586,plain,
( v3_struct_0(sK37)
| u1_struct_0(sK37) = u1_struct_0(k1_lattice2(sK37)) ),
inference(resolution,[],[f19959,f19821]) ).
fof(f28587,plain,
u1_struct_0(sK37) = u1_struct_0(k1_lattice2(sK37)),
inference(forward_subsumption_resolution,[],[f28586,f19823]) ).
fof(f28588,plain,
k17_filter_2(sK37) = u1_struct_0(k1_lattice2(sK37)),
inference(forward_demodulation,[],[f28587,f28554]) ).
fof(f28589,plain,
k1_filter_0(sK37) = u1_struct_0(k1_lattice2(sK37)),
inference(forward_demodulation,[],[f28588,f28583]) ).
fof(f28627,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| v3_struct_0(sK37)
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f27069,f19822]) ).
fof(f28628,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28627,f19823]) ).
fof(f28629,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_subsumption_resolution,[],[f28628,f19821]) ).
fof(f28630,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK37)))
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28629,f28589]) ).
fof(f28631,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28630,f28589]) ).
fof(f28632,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k17_filter_2(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28631,f28554]) ).
fof(f28633,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28632,f28583]) ).
fof(f28634,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| ~ m1_subset_1(X1,u1_struct_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(duplicate_literal_removal,[],[f28633]) ).
fof(f28635,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k17_filter_2(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28634,f28554]) ).
fof(f28636,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(forward_demodulation,[],[f28635,f28583]) ).
fof(f28637,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| ~ m1_subset_1(X1,k1_filter_0(sK37))
| k4_lattices(k1_lattice2(sK37),X1,X0) = k3_lattices(sK37,X1,X0) ),
inference(duplicate_literal_removal,[],[f28636]) ).
fof(f28639,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| k4_lattices(k1_lattice2(sK37),X0,sK39) = k3_lattices(sK37,X0,sK39) ),
inference(resolution,[],[f28637,f28585]) ).
fof(f28640,plain,
k3_lattices(sK37,sK38,sK39) = k4_lattices(k1_lattice2(sK37),sK38,sK39),
inference(resolution,[],[f28639,f28584]) ).
fof(f28664,plain,
( v3_struct_0(sK37)
| v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f19984,f19822]) ).
fof(f28665,plain,
( v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28664,f19823]) ).
fof(f28666,plain,
v10_lattices(k1_lattice2(sK37)),
inference(forward_subsumption_resolution,[],[f28665,f19821]) ).
fof(f28667,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK37))
| k2_filter_0(k1_lattice2(sK37),X0) = k2_filter_2(k1_lattice2(sK37),X0)
| ~ l3_lattices(k1_lattice2(sK37))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37))) ),
inference(resolution,[],[f28666,f19672]) ).
fof(f28682,definition,
( spl867_41
<=> l3_lattices(k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl867_41])],[avatar_definition]) ).
fof(f28683,plain,
( ~ l3_lattices(k1_lattice2(sK37))
| spl867_41 ),
inference(avatar_component_clause,[],[f28682]) ).
fof(f28688,definition,
( spl867_43
<=> v3_struct_0(k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl867_43])],[avatar_definition]) ).
fof(f28689,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ spl867_43 ),
inference(avatar_component_clause,[],[f28688]) ).
fof(f28701,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| v3_struct_0(k1_lattice2(sK37))
| k2_filter_0(k1_lattice2(sK37),X0) = k2_filter_2(k1_lattice2(sK37),X0)
| ~ l3_lattices(k1_lattice2(sK37)) ),
inference(forward_demodulation,[],[f28667,f28589]) ).
fof(f28732,definition,
( spl867_50
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| k2_filter_0(k1_lattice2(sK37),X0) = k2_filter_2(k1_lattice2(sK37),X0) ) ),
introduced(definition,[new_symbols(definition,[spl867_50])],[avatar_definition]) ).
fof(f28733,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| k2_filter_0(k1_lattice2(sK37),X0) = k2_filter_2(k1_lattice2(sK37),X0) )
| ~ spl867_50 ),
inference(avatar_component_clause,[],[f28732]) ).
fof(f28734,plain,
( ~ spl867_41
| spl867_43
| spl867_50 ),
inference(avatar_split_clause,[],[f28701,f28732,f28688,f28682]) ).
fof(f28773,plain,
( ~ l3_lattices(sK37)
| spl867_41 ),
inference(resolution,[],[f28683,f19981]) ).
fof(f28775,plain,
( $false
| spl867_41 ),
inference(forward_subsumption_resolution,[],[f28773,f19821]) ).
fof(f28776,plain,
spl867_41,
inference(avatar_contradiction_clause,[],[f28775]) ).
fof(f28778,plain,
( v3_struct_0(sK37)
| ~ l3_lattices(sK37)
| ~ spl867_43 ),
inference(resolution,[],[f28689,f19994]) ).
fof(f28780,plain,
( ~ l3_lattices(sK37)
| ~ spl867_43 ),
inference(forward_subsumption_resolution,[],[f28778,f19823]) ).
fof(f28781,plain,
( $false
| ~ spl867_43 ),
inference(forward_subsumption_resolution,[],[f28780,f19821]) ).
fof(f28782,plain,
~ spl867_43,
inference(avatar_contradiction_clause,[],[f28781]) ).
fof(f28847,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| v3_struct_0(sK37)
| k5_filter_2(sK37,X0) = X0
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f19761,f19822]) ).
fof(f28850,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| k5_filter_2(sK37,X0) = X0
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f28847,f19823]) ).
fof(f28851,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| k5_filter_2(sK37,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f28850,f19821]) ).
fof(f28852,plain,
! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK37))
| k5_filter_2(sK37,X0) = X0 ),
inference(forward_demodulation,[],[f28851,f28554]) ).
fof(f28853,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| k5_filter_2(sK37,X0) = X0 ),
inference(forward_demodulation,[],[f28852,f28583]) ).
fof(f28880,plain,
( k2_filter_0(k1_lattice2(sK37),sK38) = k2_filter_2(k1_lattice2(sK37),sK38)
| ~ spl867_50 ),
inference(resolution,[],[f28733,f28584]) ).
fof(f28951,plain,
sK38 = k5_filter_2(sK37,sK38),
inference(resolution,[],[f28853,f28584]) ).
fof(f28953,plain,
k17_filter_2(sK37) = k2_filter_2(k1_lattice2(sK37),sK38),
inference(superposition,[],[f28571,f28951]) ).
fof(f28954,plain,
k1_filter_0(sK37) = k2_filter_2(k1_lattice2(sK37),sK38),
inference(forward_demodulation,[],[f28953,f28583]) ).
fof(f29012,plain,
( k1_filter_0(sK37) = k2_filter_0(k1_lattice2(sK37),sK38)
| ~ spl867_50 ),
inference(superposition,[],[f28880,f28954]) ).
fof(f29068,plain,
( ! [X0] :
( k1_filter_0(sK37) != u1_struct_0(k1_lattice2(sK37))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| ~ m1_subset_1(sK38,u1_struct_0(k1_lattice2(sK37)))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(superposition,[],[f19899,f29012]) ).
fof(f29069,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| ~ m1_subset_1(sK38,u1_struct_0(k1_lattice2(sK37)))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(forward_subsumption_resolution,[],[f29068,f28589]) ).
fof(f29071,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK37)))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| ~ m1_subset_1(sK38,u1_struct_0(k1_lattice2(sK37)))
| v3_struct_0(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(forward_subsumption_resolution,[],[f29069,f28666]) ).
fof(f29073,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| ~ m1_subset_1(sK38,u1_struct_0(k1_lattice2(sK37)))
| v3_struct_0(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(forward_demodulation,[],[f29071,f28589]) ).
fof(f29074,plain,
( ! [X0] :
( ~ m1_subset_1(sK38,k1_filter_0(sK37))
| ~ m1_subset_1(X0,k1_filter_0(sK37))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| v3_struct_0(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(forward_demodulation,[],[f29073,f28589]) ).
fof(f29075,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0)
| v3_struct_0(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) )
| ~ spl867_50 ),
inference(forward_subsumption_resolution,[],[f29074,f28584]) ).
fof(f29077,definition,
( spl867_76
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0) ) ),
introduced(definition,[new_symbols(definition,[spl867_76])],[avatar_definition]) ).
fof(f29078,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK37))
| sK38 = k4_lattices(k1_lattice2(sK37),sK38,X0) )
| ~ spl867_76 ),
inference(avatar_component_clause,[],[f29077]) ).
fof(f29079,plain,
( ~ spl867_41
| spl867_43
| spl867_76
| ~ spl867_50 ),
inference(avatar_split_clause,[],[f29075,f28732,f29077,f28688,f28682]) ).
fof(f29306,plain,
( sK38 = k4_lattices(k1_lattice2(sK37),sK38,sK39)
| ~ spl867_76 ),
inference(resolution,[],[f29078,f28585]) ).
fof(f29307,plain,
( sK38 = k3_lattices(sK37,sK38,sK39)
| ~ spl867_76 ),
inference(superposition,[],[f29306,f28640]) ).
fof(f29311,plain,
( $false
| ~ spl867_76 ),
inference(forward_subsumption_resolution,[],[f29307,f19827]) ).
fof(f29312,plain,
~ spl867_76,
inference(avatar_contradiction_clause,[],[f29311]) ).
cnf(s42,plain,
( ~ spl867_41
| spl867_43
| spl867_50 ),
inference(sat_conversion,[],[f28734]) ).
cnf(s49,plain,
spl867_41,
inference(sat_conversion,[],[f28776]) ).
cnf(s51,plain,
~ spl867_43,
inference(sat_conversion,[],[f28782]) ).
cnf(s76,plain,
( ~ spl867_41
| spl867_43
| ~ spl867_50
| spl867_76 ),
inference(sat_conversion,[],[f29079]) ).
cnf(s90,plain,
~ spl867_76,
inference(sat_conversion,[],[f29312]) ).
cnf(s91,plain,
( ~ spl867_41
| spl867_43
| ~ spl867_50 ),
inference(rat,[],[s76,s90]) ).
cnf(s100,plain,
~ spl867_50,
inference(rat,[],[s91,s51,s49]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s42,s100,s51,s49]) ).
fof(f29313,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT308+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:28:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.84/3.30 % (3437415)Detected formulas, will run a generic FOF schedule.
% 12.84/3.30 % (3437423)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3518201371:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 12.84/3.30 % (3437423)Refutation not found, incomplete strategy
% 12.84/3.30 % (3437423)------------------------------
% 12.84/3.30 % (3437423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/3.30 % (3437423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/3.30 % (3437423)CaDiCaL version: 2.1.3
% 12.84/3.30 % (3437423)Termination reason: Refutation not found, incomplete strategy
% 12.84/3.30 % (3437423)Time elapsed: 0.044 s
% 12.84/3.30 % (3437423)Peak memory usage: 107 MB
% 12.84/3.30 % (3437423)Instructions burned: 94 (million)
% 12.84/3.30 % (3437425)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=617864402:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 12.84/3.30 % (3437426)dis-21_1_sil=8000:lcm=predicate:random_seed=188967788:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 12.84/3.30 % (3437424)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1752372046:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 12.84/3.30 % (3437420)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=2387019337:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 12.84/3.30 % (3437421)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=2909611868:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 12.84/3.30 % (3437422)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=2304345222:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 12.84/3.30 % (3437425)Instruction limit reached!
% 12.84/3.30 % (3437425)------------------------------
% 12.84/3.30 % (3437425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/3.30 % (3437425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/3.30 % (3437425)CaDiCaL version: 2.1.3
% 12.84/3.30 % (3437425)Termination reason: Instruction limit
% 12.84/3.30 % (3437425)Termination phase: Property scanning
% 12.84/3.30 % (3437425)Time elapsed: 0.063 s
% 12.84/3.30 % (3437425)Peak memory usage: 102 MB
% 12.84/3.30 % (3437425)Instructions burned: 139 (million)
% 12.84/3.30 % (3437424)Instruction limit reached!
% 12.84/3.30 % (3437424)------------------------------
% 12.84/3.30 % (3437424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/3.30 % (3437424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/3.30 % (3437424)CaDiCaL version: 2.1.3
% 12.84/3.30 % (3437424)Termination reason: Instruction limit
% 12.84/3.30 % (3437424)Termination phase: Function definition elimination
% 12.84/3.30 % (3437424)Time elapsed: 0.094 s
% 12.84/3.30 % (3437424)Peak memory usage: 105 MB
% 12.84/3.30 % (3437424)Instructions burned: 120 (million)
% 12.84/3.30 % (3437426)Instruction limit reached!
% 12.84/3.30 % (3437426)------------------------------
% 12.84/3.30 % (3437426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/3.30 % (3437426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/3.30 % (3437426)CaDiCaL version: 2.1.3
% 12.84/3.30 % (3437426)Termination reason: Instruction limit
% 12.84/3.30 % (3437426)Termination phase: Preprocessing 1
% 12.84/3.30 % (3437426)Time elapsed: 0.096 s
% 12.84/3.30 % (3437426)Peak memory usage: 103 MB
% 12.84/3.30 % (3437426)Instructions burned: 129 (million)
% 12.84/3.30 % (3437423)------------------------------
% 12.84/3.30 % (3437423)------------------------------
% 12.84/3.30 % (3437434)lrs+10_1_sil=8000:sp=occurrence:random_seed=53265321:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 12.84/3.30 % (3437435)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2595522028:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 12.84/3.30 % (3437436)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1528363:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 12.84/3.30 % (3437437)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=1861896981:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 19.84/4.26 % (3437435)Instruction limit reached!
% 19.84/4.26 % (3437435)------------------------------
% 19.84/4.26 % (3437435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437435)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437435)Termination reason: Instruction limit
% 19.84/4.26 % (3437435)Termination phase: Property scanning
% 19.84/4.26 % (3437435)Time elapsed: 0.066 s
% 19.84/4.26 % (3437435)Peak memory usage: 102 MB
% 19.84/4.26 % (3437435)Instructions burned: 158 (million)
% 19.84/4.26 % (3437436)Refutation not found, incomplete strategy
% 19.84/4.26 % (3437436)------------------------------
% 19.84/4.26 % (3437436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437436)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437436)Termination reason: Refutation not found, incomplete strategy
% 19.84/4.26 % (3437436)Time elapsed: 0.068 s
% 19.84/4.26 % (3437436)Peak memory usage: 107 MB
% 19.84/4.26 % (3437436)Instructions burned: 81 (million)
% 19.84/4.26 % (3437437)Instruction limit reached!
% 19.84/4.26 % (3437437)------------------------------
% 19.84/4.26 % (3437437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437437)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437437)Termination reason: Instruction limit
% 19.84/4.26 % (3437437)Termination phase: SInE selection
% 19.84/4.26 % (3437437)Time elapsed: 0.067 s
% 19.84/4.26 % (3437437)Peak memory usage: 103 MB
% 19.84/4.26 % (3437437)Instructions burned: 248 (million)
% 19.84/4.26 % (3437434)Instruction limit reached!
% 19.84/4.26 % (3437434)------------------------------
% 19.84/4.26 % (3437434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437434)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437434)Termination reason: Instruction limit
% 19.84/4.26 % (3437434)Termination phase: Saturation
% 19.84/4.26 % (3437434)Time elapsed: 0.191 s
% 19.84/4.26 % (3437434)Peak memory usage: 109 MB
% 19.84/4.26 % (3437434)Instructions burned: 285 (million)
% 19.84/4.26 % (3437443)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2563322998:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 19.84/4.26 % (3437442)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1556986055:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 19.84/4.26 % (3437436)------------------------------
% 19.84/4.26 % (3437436)------------------------------
% 19.84/4.26 % (3437444)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2395775714:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 19.84/4.26 % (3437442)Instruction limit reached!
% 19.84/4.26 % (3437442)------------------------------
% 19.84/4.26 % (3437442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437442)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437442)Termination reason: Instruction limit
% 19.84/4.26 % (3437442)Termination phase: Saturation
% 19.84/4.26 % (3437442)Time elapsed: 0.183 s
% 19.84/4.26 % (3437442)Peak memory usage: 109 MB
% 19.84/4.26 % (3437442)Instructions burned: 295 (million)
% 19.84/4.26 % (3437444)Instruction limit reached!
% 19.84/4.26 % (3437444)------------------------------
% 19.84/4.26 % (3437444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.26 % (3437444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.26 % (3437444)CaDiCaL version: 2.1.3
% 19.84/4.26 % (3437444)Termination reason: Instruction limit
% 19.84/4.26 % (3437444)Termination phase: Preprocessing 3
% 19.84/4.26 % (3437444)Time elapsed: 0.098 s
% 19.84/4.26 % (3437444)Peak memory usage: 105 MB
% 19.84/4.26 % (3437444)Instructions burned: 114 (million)
% 19.84/4.26 % (3437447)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1609879725:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 19.84/4.26 % (3437449)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=806841093:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 18.09/4.61 % (3437447)Instruction limit reached!
% 18.09/4.61 % (3437447)------------------------------
% 18.09/4.61 % (3437447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437447)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437447)Termination reason: Instruction limit
% 18.09/4.61 % (3437447)Termination phase: Preprocessing 2
% 18.09/4.61 % (3437447)Time elapsed: 0.101 s
% 18.09/4.61 % (3437447)Peak memory usage: 106 MB
% 18.09/4.61 % (3437447)Instructions burned: 127 (million)
% 18.09/4.61 % (3437449)Instruction limit reached!
% 18.09/4.61 % (3437449)------------------------------
% 18.09/4.61 % (3437449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437449)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437449)Termination reason: Instruction limit
% 18.09/4.61 % (3437449)Termination phase: Property scanning
% 18.09/4.61 % (3437449)Time elapsed: 0.049 s
% 18.09/4.61 % (3437449)Peak memory usage: 102 MB
% 18.09/4.61 % (3437449)Instructions burned: 115 (million)
% 18.09/4.61 % (3437450)lrs+10_1_sil=8000:sp=occurrence:random_seed=3343540396:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 18.09/4.61 % (3437453)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2915059328:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 18.09/4.61 % (3437454)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3713991345:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 18.09/4.61 % (3437443)Instruction limit reached!
% 18.09/4.61 % (3437443)------------------------------
% 18.09/4.61 % (3437443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437443)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437443)Termination reason: Instruction limit
% 18.09/4.61 % (3437443)Termination phase: Saturation
% 18.09/4.61 % (3437443)Time elapsed: 0.814 s
% 18.09/4.61 % (3437443)Peak memory usage: 240 MB
% 18.09/4.61 % (3437443)Instructions burned: 2351 (million)
% 18.09/4.61 % (3437453)Instruction limit reached!
% 18.09/4.61 % (3437453)------------------------------
% 18.09/4.61 % (3437453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437453)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437453)Termination reason: Instruction limit
% 18.09/4.61 % (3437453)Termination phase: Saturation
% 18.09/4.61 % (3437453)Time elapsed: 0.268 s
% 18.09/4.61 % (3437453)Peak memory usage: 109 MB
% 18.09/4.61 % (3437453)Instructions burned: 439 (million)
% 18.09/4.61 % (3437458)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1776943363:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 18.09/4.61 % (3437450)Instruction limit reached!
% 18.09/4.61 % (3437450)------------------------------
% 18.09/4.61 % (3437450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437450)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437450)Termination reason: Instruction limit
% 18.09/4.61 % (3437450)Termination phase: Saturation
% 18.09/4.61 % (3437450)Time elapsed: 0.583 s
% 18.09/4.61 % (3437450)Peak memory usage: 121 MB
% 18.09/4.61 % (3437450)Instructions burned: 907 (million)
% 18.09/4.61 % (3437459)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2178915037:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 18.09/4.61 % (3437458)Instruction limit reached!
% 18.09/4.61 % (3437458)------------------------------
% 18.09/4.61 % (3437458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437458)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437458)Termination reason: Instruction limit
% 18.09/4.61 % (3437458)Termination phase: Property scanning
% 18.09/4.61 % (3437458)Time elapsed: 0.058 s
% 18.09/4.61 % (3437458)Peak memory usage: 106 MB
% 18.09/4.61 % (3437458)Instructions burned: 137 (million)
% 18.09/4.61 % (3437463)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2777998648:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 18.09/4.61 % (3437462)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1549254343:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 18.09/4.61 % (3437463)Instruction limit reached!
% 18.09/4.61 % (3437463)------------------------------
% 18.09/4.61 % (3437463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437463)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437463)Termination reason: Instruction limit
% 18.09/4.61 % (3437463)Termination phase: Property scanning
% 18.09/4.61 % (3437463)Time elapsed: 0.030 s
% 18.09/4.61 % (3437463)Peak memory usage: 102 MB
% 18.09/4.61 % (3437463)Instructions burned: 129 (million)
% 18.09/4.61 % (3437466)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=400581218:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 18.09/4.61 % (3437466)Instruction limit reached!
% 18.09/4.61 % (3437466)------------------------------
% 18.09/4.61 % (3437466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437466)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437466)Termination reason: Instruction limit
% 18.09/4.61 % (3437466)Termination phase: Property scanning
% 18.09/4.61 % (3437466)Time elapsed: 0.032 s
% 18.09/4.61 % (3437466)Peak memory usage: 102 MB
% 18.09/4.61 % (3437466)Instructions burned: 137 (million)
% 18.09/4.61 % (3437459)Instruction limit reached!
% 18.09/4.61 % (3437459)------------------------------
% 18.09/4.61 % (3437459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437459)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437459)Termination reason: Instruction limit
% 18.09/4.61 % (3437459)Termination phase: Property scanning
% 18.09/4.61 % (3437459)Time elapsed: 0.379 s
% 18.09/4.61 % (3437459)Peak memory usage: 121 MB
% 18.09/4.61 % (3437459)Instructions burned: 594 (million)
% 18.09/4.61 % (3437468)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3951406742:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 18.09/4.61 % (3437468)Refutation not found, incomplete strategy
% 18.09/4.61 % (3437468)------------------------------
% 18.09/4.61 % (3437468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437468)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437468)Termination reason: Refutation not found, incomplete strategy
% 18.09/4.61 % (3437468)Time elapsed: 0.045 s
% 18.09/4.61 % (3437468)Peak memory usage: 107 MB
% 18.09/4.61 % (3437468)Instructions burned: 101 (million)
% 18.09/4.61 % (3437469)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3596648772:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 18.09/4.61 % (3437469)Refutation not found, incomplete strategy
% 18.09/4.61 % (3437469)------------------------------
% 18.09/4.61 % (3437469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437469)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437469)Termination reason: Refutation not found, incomplete strategy
% 18.09/4.61 % (3437469)Time elapsed: 0.068 s
% 18.09/4.61 % (3437469)Peak memory usage: 107 MB
% 18.09/4.61 % (3437469)Instructions burned: 77 (million)
% 18.09/4.61 % (3437468)------------------------------
% 18.09/4.61 % (3437468)------------------------------
% 18.09/4.61 % (3437472)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=686433923:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 18.09/4.61 % (3437469)------------------------------
% 18.09/4.61 % (3437469)------------------------------
% 18.09/4.61 % (3437474)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1505662185:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 18.09/4.61 % (3437421)First to succeed.
% 18.09/4.61 % (3437421)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3437415"
% 18.09/4.61 % (3437474)Instruction limit reached!
% 18.09/4.61 % (3437474)------------------------------
% 18.09/4.61 % (3437474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/4.61 % (3437474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/4.61 % (3437474)CaDiCaL version: 2.1.3
% 18.09/4.61 % (3437474)Termination reason: Instruction limit
% 18.09/4.61 % (3437474)Termination phase: Preprocessing 1
% 18.09/4.61 % (3437474)Time elapsed: 0.113 s
% 18.09/4.61 % (3437474)Peak memory usage: 103 MB
% 18.09/4.61 % (3437474)Instructions burned: 151 (million)
% 18.09/4.61 % (3437476)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2732865187:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 18.09/4.61 % (3437421)Refutation found. Thanks to Tanya!
% 18.09/4.61 % SZS status Theorem for theBenchmark
% 18.09/4.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/4.81 % (3437421)------------------------------
% 0.16/4.81 % (3437421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/4.81 % (3437421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/4.81 % (3437421)CaDiCaL version: 2.1.3
% 0.16/4.81 % (3437421)Termination reason: Refutation
% 0.16/4.81 % (3437421)Time elapsed: 2.557 s
% 0.16/4.81 % (3437421)Peak memory usage: 239 MB
% 0.16/4.81 % (3437421)Instructions burned: 4089 (million)
% 0.16/4.81 % (3437421)------------------------------
% 0.16/4.81 % (3437421)------------------------------
% 0.16/4.81 % (3437415)Success in time 3.75 s
% 0.16/4.81 % Vampire exiting
%------------------------------------------------------------------------------