%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT291+4 : 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 : n018.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 11:46:35 AM UTC 2026
% Result : Theorem 31.41s 7.86s
% Output : Refutation 36.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 92 ( 23 unt; 0 def)
% Number of atoms : 349 ( 50 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 420 ( 163 ~; 180 |; 62 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 65 ( 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f18128,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f18227,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(f21512,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> r2_hidden(k6_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_0) ).
fof(f21515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f31966,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_lattice4) ).
fof(f31967,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_lattice4) ).
fof(f32159,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_lopclset) ).
fof(f32170,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_lopclset) ).
fof(f32171,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_lopclset) ).
fof(f32172,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
inference(negated_conjecture,[status(cth)],[f32171]) ).
fof(f32369,plain,
! [X0] :
( ! [X1] :
( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32159]) ).
fof(f32370,plain,
! [X0] :
( ! [X1] :
( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32369]) ).
fof(f32385,plain,
! [X0] :
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32170]) ).
fof(f32386,plain,
! [X0] :
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32385]) ).
fof(f32387,plain,
? [X0] :
( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f32172]) ).
fof(f32388,plain,
? [X0] :
( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f32387]) ).
fof(f32393,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f32403,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f32404,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32403]) ).
fof(f32869,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18128]) ).
fof(f32870,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32869]) ).
fof(f33053,plain,
! [X0] :
( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31967]) ).
fof(f33054,plain,
! [X0] :
( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f33053]) ).
fof(f33055,plain,
! [X0] :
( k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31966]) ).
fof(f33056,plain,
! [X0] :
( k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f33055]) ).
fof(f33061,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f18227]) ).
fof(f33062,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f33061]) ).
fof(f33266,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21512]) ).
fof(f33267,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f33266]) ).
fof(f38306,plain,
( k7_lopclset(sK46) != k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k6_lattices(sK46))
& ~ v3_struct_0(sK46)
& v10_lattices(sK46)
& v17_lattices(sK46)
& ~ v3_realset2(sK46)
& l3_lattices(sK46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X0,sK46)],[f32388]) ).
fof(f40100,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32370]) ).
fof(f40115,plain,
! [X0] :
( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32386]) ).
fof(f40116,plain,
l3_lattices(sK46),
inference(cnf_transformation,[],[f38306]) ).
fof(f40117,plain,
~ v3_realset2(sK46),
inference(cnf_transformation,[],[f38306]) ).
fof(f40118,plain,
v17_lattices(sK46),
inference(cnf_transformation,[],[f38306]) ).
fof(f40119,plain,
v10_lattices(sK46),
inference(cnf_transformation,[],[f38306]) ).
fof(f40120,plain,
~ v3_struct_0(sK46),
inference(cnf_transformation,[],[f38306]) ).
fof(f40121,plain,
k7_lopclset(sK46) != k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k6_lattices(sK46)),
inference(cnf_transformation,[],[f38306]) ).
fof(f40126,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f32393]) ).
fof(f40137,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32404]) ).
fof(f40992,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32870]) ).
fof(f41349,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f41356,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f33054]) ).
fof(f41357,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = k7_lattices(X0,k6_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f33056]) ).
fof(f41362,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f33062]) ).
fof(f41631,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f41668,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f33267]) ).
fof(f48326,plain,
! [X0] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| np__0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
| ~ l3_lattices(X0) ),
inference(definition_unfolding,[],[f40115,f41631]) ).
fof(f48532,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f41349,f41631]) ).
fof(f50718,plain,
! [X0,X1] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r2_hidden(k6_lattices(X0),X1)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f41668]) ).
fof(f51487,plain,
( v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| ~ v17_lattices(sK46)
| np__0 = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f48326,f40117]) ).
fof(f51488,plain,
( ~ v10_lattices(sK46)
| ~ v17_lattices(sK46)
| np__0 = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51487,f40120]) ).
fof(f51489,plain,
( ~ v17_lattices(sK46)
| np__0 = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51488,f40119]) ).
fof(f51490,plain,
( np__0 = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51489,f40118]) ).
fof(f51491,plain,
np__0 = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46)),
inference(forward_subsumption_resolution,[],[f51490,f40116]) ).
fof(f51594,plain,
( v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| k6_lattices(sK46) = k7_lattices(sK46,k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f41356,f40118]) ).
fof(f51595,plain,
( ~ v10_lattices(sK46)
| k6_lattices(sK46) = k7_lattices(sK46,k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51594,f40120]) ).
fof(f51596,plain,
( k6_lattices(sK46) = k7_lattices(sK46,k5_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51595,f40119]) ).
fof(f51597,plain,
k6_lattices(sK46) = k7_lattices(sK46,k5_lattices(sK46)),
inference(forward_subsumption_resolution,[],[f51596,f40116]) ).
fof(f51603,plain,
( v3_struct_0(sK46)
| v14_lattices(sK46)
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f40992,f40118]) ).
fof(f51604,plain,
( v14_lattices(sK46)
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51603,f40120]) ).
fof(f51605,plain,
v14_lattices(sK46),
inference(forward_subsumption_resolution,[],[f51604,f40116]) ).
fof(f51606,plain,
! [X0] :
( v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| r2_hidden(k6_lattices(sK46),X0)
| ~ l3_lattices(sK46)
| ~ m1_filter_0(X0,sK46) ),
inference(resolution,[],[f51605,f50718]) ).
fof(f51607,plain,
! [X0] :
( ~ v10_lattices(sK46)
| r2_hidden(k6_lattices(sK46),X0)
| ~ l3_lattices(sK46)
| ~ m1_filter_0(X0,sK46) ),
inference(forward_subsumption_resolution,[],[f51606,f40120]) ).
fof(f51608,plain,
! [X0] :
( r2_hidden(k6_lattices(sK46),X0)
| ~ l3_lattices(sK46)
| ~ m1_filter_0(X0,sK46) ),
inference(forward_subsumption_resolution,[],[f51607,f40119]) ).
fof(f51609,plain,
! [X0] :
( r2_hidden(k6_lattices(sK46),X0)
| ~ m1_filter_0(X0,sK46) ),
inference(forward_subsumption_resolution,[],[f51608,f40116]) ).
fof(f51707,plain,
( v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| k5_lattices(sK46) = k7_lattices(sK46,k6_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f41357,f40118]) ).
fof(f51708,plain,
( ~ v10_lattices(sK46)
| k5_lattices(sK46) = k7_lattices(sK46,k6_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51707,f40120]) ).
fof(f51709,plain,
( k5_lattices(sK46) = k7_lattices(sK46,k6_lattices(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51708,f40119]) ).
fof(f51710,plain,
k5_lattices(sK46) = k7_lattices(sK46,k6_lattices(sK46)),
inference(forward_subsumption_resolution,[],[f51709,f40116]) ).
fof(f51772,plain,
! [X0] :
( ~ m1_filter_0(X0,sK46)
| m1_subset_1(k6_lattices(sK46),X0) ),
inference(resolution,[],[f40126,f51609]) ).
fof(f51774,plain,
( m1_subset_1(k6_lattices(sK46),u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f51772,f40137]) ).
fof(f51779,plain,
( m1_subset_1(k6_lattices(sK46),u1_struct_0(sK46))
| ~ v10_lattices(sK46)
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51774,f40120]) ).
fof(f51782,plain,
( m1_subset_1(k6_lattices(sK46),u1_struct_0(sK46))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f51779,f40119]) ).
fof(f51785,plain,
m1_subset_1(k6_lattices(sK46),u1_struct_0(sK46)),
inference(forward_subsumption_resolution,[],[f51782,f40116]) ).
fof(f52133,plain,
( v3_struct_0(sK46)
| ~ l3_lattices(sK46)
| m1_subset_1(k7_lattices(sK46,k6_lattices(sK46)),u1_struct_0(sK46)) ),
inference(resolution,[],[f41362,f51785]) ).
fof(f52135,plain,
( ~ l3_lattices(sK46)
| m1_subset_1(k7_lattices(sK46,k6_lattices(sK46)),u1_struct_0(sK46)) ),
inference(forward_subsumption_resolution,[],[f52133,f40120]) ).
fof(f52136,plain,
m1_subset_1(k7_lattices(sK46,k6_lattices(sK46)),u1_struct_0(sK46)),
inference(forward_subsumption_resolution,[],[f52135,f40116]) ).
fof(f52137,plain,
m1_subset_1(k5_lattices(sK46),u1_struct_0(sK46)),
inference(forward_demodulation,[],[f52136,f51710]) ).
fof(f52156,plain,
( k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46)))
| v3_struct_0(sK46)
| ~ v10_lattices(sK46)
| ~ v17_lattices(sK46)
| v3_realset2(sK46)
| ~ l3_lattices(sK46) ),
inference(resolution,[],[f52137,f40100]) ).
fof(f52157,plain,
( k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46)))
| ~ v10_lattices(sK46)
| ~ v17_lattices(sK46)
| v3_realset2(sK46)
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f52156,f40120]) ).
fof(f52165,plain,
( k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46)))
| ~ v17_lattices(sK46)
| v3_realset2(sK46)
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f52157,f40119]) ).
fof(f52167,plain,
( k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46)))
| v3_realset2(sK46)
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f52165,f40118]) ).
fof(f52169,plain,
( k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46)))
| ~ l3_lattices(sK46) ),
inference(forward_subsumption_resolution,[],[f52167,f40117]) ).
fof(f52170,plain,
k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k7_lattices(sK46,k5_lattices(sK46))),
inference(forward_subsumption_resolution,[],[f52169,f40116]) ).
fof(f52171,plain,
k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k6_lattices(sK46)) = k4_xboole_0(k7_lopclset(sK46),k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k5_lattices(sK46))),
inference(forward_demodulation,[],[f52170,f51597]) ).
fof(f52172,plain,
k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k6_lattices(sK46)) = k4_xboole_0(k7_lopclset(sK46),np__0),
inference(forward_demodulation,[],[f52171,f51491]) ).
fof(f52173,plain,
k7_lopclset(sK46) = k8_funct_2(u1_struct_0(sK46),k1_zfmisc_1(k7_lopclset(sK46)),k9_lopclset(sK46),k6_lattices(sK46)),
inference(forward_demodulation,[],[f52172,f48532]) ).
fof(f52174,plain,
$false,
inference(forward_subsumption_resolution,[],[f52173,f40121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT291+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:18:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 21.43/5.88 % (2400066)Detected formulas, will run a generic FOF schedule.
% 21.43/5.88 % (2400112)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=484195874:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 21.43/5.88 % (2400116)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=654993031:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 21.43/5.88 % (2400111)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=3260145484:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 21.43/5.88 % (2400114)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2258293601:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 21.43/5.88 % (2400113)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=2274372020:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 21.43/5.88 % (2400116)Instruction limit reached!
% 21.43/5.88 % (2400116)------------------------------
% 21.43/5.88 % (2400116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.43/5.88 % (2400116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.43/5.88 % (2400116)CaDiCaL version: 2.1.3
% 21.43/5.88 % (2400116)Termination reason: Instruction limit
% 21.43/5.88 % (2400116)Termination phase: Property scanning
% 21.43/5.88 % (2400116)Time elapsed: 0.065 s
% 21.43/5.88 % (2400116)Peak memory usage: 132 MB
% 21.43/5.88 % (2400116)Instructions burned: 140 (million)
% 21.43/5.88 % (2400115)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1000543849:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 21.43/5.88 % (2400117)dis-21_1_sil=8000:lcm=predicate:random_seed=1295640196:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 21.43/5.88 % (2400114)Instruction limit reached!
% 21.43/5.88 % (2400114)------------------------------
% 21.43/5.88 % (2400114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.43/5.88 % (2400114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.43/5.88 % (2400114)CaDiCaL version: 2.1.3
% 21.43/5.88 % (2400114)Termination reason: Instruction limit
% 21.43/5.88 % (2400114)Termination phase: SInE selection
% 21.43/5.88 % (2400114)Time elapsed: 0.117 s
% 21.43/5.88 % (2400114)Peak memory usage: 131 MB
% 21.43/5.88 % (2400114)Instructions burned: 110 (million)
% 21.43/5.88 % (2400115)Instruction limit reached!
% 21.43/5.88 % (2400115)------------------------------
% 21.43/5.88 % (2400115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.43/5.88 % (2400115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.43/5.88 % (2400115)CaDiCaL version: 2.1.3
% 21.43/5.88 % (2400115)Termination reason: Instruction limit
% 21.43/5.88 % (2400115)Termination phase: SInE selection
% 21.43/5.88 % (2400115)Time elapsed: 0.122 s
% 21.43/5.88 % (2400115)Peak memory usage: 131 MB
% 21.43/5.88 % (2400115)Instructions burned: 120 (million)
% 21.43/5.88 % (2400117)Instruction limit reached!
% 21.43/5.88 % (2400117)------------------------------
% 21.43/5.88 % (2400117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.43/5.88 % (2400117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.43/5.88 % (2400117)CaDiCaL version: 2.1.3
% 21.43/5.88 % (2400117)Termination reason: Instruction limit
% 21.43/5.88 % (2400117)Termination phase: SInE selection
% 21.43/5.88 % (2400117)Time elapsed: 0.132 s
% 21.43/5.88 % (2400117)Peak memory usage: 132 MB
% 21.43/5.88 % (2400117)Instructions burned: 129 (million)
% 21.43/5.88 % (2400123)lrs+10_1_sil=8000:sp=occurrence:random_seed=3144264899:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 21.43/5.88 % (2400130)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=1800256904:s2a=on:i=248:s2at=1.23:gtg=position_2974 on theBenchmark for (2974ds/248Mi)
% 21.43/5.88 % (2400128)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2014774795:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/157Mi)
% 21.43/5.88 % (2400129)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3745494838:i=325:sd=1:ss=axioms:sgt=32_2974 on theBenchmark for (2974ds/325Mi)
% 21.43/5.88 % (2400130)Instruction limit reached!
% 34.54/7.66 % (2400130)------------------------------
% 34.54/7.66 % (2400130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400130)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400130)Termination reason: Instruction limit
% 34.54/7.66 % (2400130)Termination phase: Property scanning
% 34.54/7.66 % (2400130)Time elapsed: 0.113 s
% 34.54/7.66 % (2400130)Peak memory usage: 132 MB
% 34.54/7.66 % (2400130)Instructions burned: 249 (million)
% 34.54/7.66 % (2400128)Instruction limit reached!
% 34.54/7.66 % (2400128)------------------------------
% 34.54/7.66 % (2400128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400128)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400128)Termination reason: Instruction limit
% 34.54/7.66 % (2400128)Termination phase: Property scanning
% 34.54/7.66 % (2400128)Time elapsed: 0.133 s
% 34.54/7.66 % (2400128)Peak memory usage: 132 MB
% 34.54/7.66 % (2400128)Instructions burned: 157 (million)
% 34.54/7.66 % (2400123)Instruction limit reached!
% 34.54/7.66 % (2400123)------------------------------
% 34.54/7.66 % (2400123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400123)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400123)Termination reason: Instruction limit
% 34.54/7.66 % (2400123)Termination phase: Saturation
% 34.54/7.66 % (2400123)Time elapsed: 0.279 s
% 34.54/7.66 % (2400123)Peak memory usage: 137 MB
% 34.54/7.66 % (2400123)Instructions burned: 286 (million)
% 34.54/7.66 % (2400135)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=123335903:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2971 on theBenchmark for (2971ds/294Mi)
% 34.54/7.66 % (2400136)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=568669270:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 34.54/7.66 % (2400137)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1591341782:cts=off:i=113:fsr=off:ss=included:sgt=4_2971 on theBenchmark for (2971ds/113Mi)
% 34.54/7.66 % (2400129)Instruction limit reached!
% 34.54/7.66 % (2400129)------------------------------
% 34.54/7.66 % (2400129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400129)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400129)Termination reason: Instruction limit
% 34.54/7.66 % (2400129)Termination phase: Saturation
% 34.54/7.66 % (2400129)Time elapsed: 0.363 s
% 34.54/7.66 % (2400129)Peak memory usage: 137 MB
% 34.54/7.66 % (2400129)Instructions burned: 325 (million)
% 34.54/7.66 % (2400135)Instruction limit reached!
% 34.54/7.66 % (2400135)------------------------------
% 34.54/7.66 % (2400135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400135)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400135)Termination reason: Instruction limit
% 34.54/7.66 % (2400135)Termination phase: SInE selection
% 34.54/7.66 % (2400135)Time elapsed: 0.159 s
% 34.54/7.66 % (2400135)Peak memory usage: 132 MB
% 34.54/7.66 % (2400135)Instructions burned: 295 (million)
% 34.54/7.66 % (2400137)Instruction limit reached!
% 34.54/7.66 % (2400137)------------------------------
% 34.54/7.66 % (2400137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.54/7.66 % (2400137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.54/7.66 % (2400137)CaDiCaL version: 2.1.3
% 34.54/7.66 % (2400137)Termination reason: Instruction limit
% 34.54/7.66 % (2400137)Termination phase: SInE selection
% 34.54/7.66 % (2400137)Time elapsed: 0.119 s
% 34.54/7.66 % (2400137)Peak memory usage: 131 MB
% 34.54/7.66 % (2400137)Instructions burned: 113 (million)
% 34.54/7.66 % (2400142)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1653241926:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2968 on theBenchmark for (2968ds/114Mi)
% 34.54/7.66 % (2400141)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2881919124:i=127:av=off:fsr=off:sup=off_2968 on theBenchmark for (2968ds/127Mi)
% 34.54/7.66 % (2400142)Instruction limit reached!
% 34.54/7.66 % (2400142)------------------------------
% 34.54/7.66 % (2400142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400142)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400142)Termination reason: Instruction limit
% 31.41/7.86 % (2400142)Termination phase: Property scanning
% 31.41/7.86 % (2400142)Time elapsed: 0.053 s
% 31.41/7.86 % (2400142)Peak memory usage: 132 MB
% 31.41/7.86 % (2400142)Instructions burned: 115 (million)
% 31.41/7.86 % (2400141)Instruction limit reached!
% 31.41/7.86 % (2400141)------------------------------
% 31.41/7.86 % (2400141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400141)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400141)Termination reason: Instruction limit
% 31.41/7.86 % (2400141)Termination phase: Preprocessing 1
% 31.41/7.86 % (2400141)Time elapsed: 0.135 s
% 31.41/7.86 % (2400141)Peak memory usage: 133 MB
% 31.41/7.86 % (2400141)Instructions burned: 127 (million)
% 31.41/7.86 % (2400145)lrs+10_1_sil=8000:sp=occurrence:random_seed=2109408661:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2967 on theBenchmark for (2967ds/907Mi)
% 31.41/7.86 % (2400148)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=425496094:i=437:sd=1:aac=none:ss=included_2966 on theBenchmark for (2966ds/437Mi)
% 31.41/7.86 % (2400149)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3999584429:i=5202:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/5202Mi)
% 31.41/7.86 % (2400148)Refutation not found, incomplete strategy
% 31.41/7.86 % (2400148)------------------------------
% 31.41/7.86 % (2400148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400148)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400148)Termination reason: Refutation not found, incomplete strategy
% 31.41/7.86 % (2400148)Time elapsed: 0.258 s
% 31.41/7.86 % (2400148)Peak memory usage: 139 MB
% 31.41/7.86 % (2400148)Instructions burned: 323 (million)
% 31.41/7.86 % (2400148)------------------------------
% 31.41/7.86 % (2400148)------------------------------
% 31.41/7.86 % (2400153)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2628209164:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2959 on theBenchmark for (2959ds/134Mi)
% 31.41/7.86 % (2400153)Instruction limit reached!
% 31.41/7.86 % (2400153)------------------------------
% 31.41/7.86 % (2400153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400153)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400153)Termination reason: Instruction limit
% 31.41/7.86 % (2400153)Termination phase: SInE selection
% 31.41/7.86 % (2400153)Time elapsed: 0.086 s
% 31.41/7.86 % (2400153)Peak memory usage: 131 MB
% 31.41/7.86 % (2400153)Instructions burned: 135 (million)
% 31.41/7.86 % (2400145)Instruction limit reached!
% 31.41/7.86 % (2400145)------------------------------
% 31.41/7.86 % (2400145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400145)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400145)Termination reason: Instruction limit
% 31.41/7.86 % (2400145)Termination phase: Property scanning
% 31.41/7.86 % (2400145)Time elapsed: 0.900 s
% 31.41/7.86 % (2400145)Peak memory usage: 152 MB
% 31.41/7.86 % (2400145)Instructions burned: 908 (million)
% 31.41/7.86 % (2400155)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2197914033:st=8:i=592:sd=3:ep=RST:ss=axioms_2957 on theBenchmark for (2957ds/592Mi)
% 31.41/7.86 % (2400156)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3004486319:st=3:i=13193:sd=3:ss=axioms_2956 on theBenchmark for (2956ds/13193Mi)
% 31.41/7.86 % (2400155)Instruction limit reached!
% 31.41/7.86 % (2400155)------------------------------
% 31.41/7.86 % (2400155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400155)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400155)Termination reason: Instruction limit
% 31.41/7.86 % (2400155)Termination phase: Preprocessing 2
% 31.41/7.86 % (2400155)Time elapsed: 0.393 s
% 31.41/7.86 % (2400155)Peak memory usage: 148 MB
% 31.41/7.86 % (2400155)Instructions burned: 592 (million)
% 31.41/7.86 % (2400161)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=2377577849:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2951 on theBenchmark for (2951ds/125Mi)
% 31.41/7.86 % (2400161)Instruction limit reached!
% 31.41/7.86 % (2400161)------------------------------
% 31.41/7.86 % (2400161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400161)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400161)Termination reason: Instruction limit
% 31.41/7.86 % (2400161)Termination phase: Property scanning
% 31.41/7.86 % (2400161)Time elapsed: 0.104 s
% 31.41/7.86 % (2400161)Peak memory usage: 132 MB
% 31.41/7.86 % (2400161)Instructions burned: 126 (million)
% 31.41/7.86 % (2400163)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1753952532:i=134:gtgl=5:slsql=off:gtg=exists_sym_2948 on theBenchmark for (2948ds/134Mi)
% 31.41/7.86 % (2400163)Instruction limit reached!
% 31.41/7.86 % (2400163)------------------------------
% 31.41/7.86 % (2400163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400163)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400163)Termination reason: Instruction limit
% 31.41/7.86 % (2400163)Termination phase: Property scanning
% 31.41/7.86 % (2400163)Time elapsed: 0.114 s
% 31.41/7.86 % (2400163)Peak memory usage: 132 MB
% 31.41/7.86 % (2400163)Instructions burned: 134 (million)
% 31.41/7.86 % (2400136)Instruction limit reached!
% 31.41/7.86 % (2400136)------------------------------
% 31.41/7.86 % (2400136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400136)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400136)Termination reason: Instruction limit
% 31.41/7.86 % (2400136)Termination phase: Property scanning
% 31.41/7.86 % (2400136)Time elapsed: 2.420 s
% 31.41/7.86 % (2400136)Peak memory usage: 222 MB
% 31.41/7.86 % (2400136)Instructions burned: 2350 (million)
% 31.41/7.86 % (2400165)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4116398480:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2945 on theBenchmark for (2945ds/141Mi)
% 31.41/7.86 % (2400166)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3102016070:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2944 on theBenchmark for (2944ds/431Mi)
% 31.41/7.86 % (2400165)Instruction limit reached!
% 31.41/7.86 % (2400165)------------------------------
% 31.41/7.86 % (2400165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400165)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400165)Termination reason: Instruction limit
% 31.41/7.86 % (2400165)Termination phase: SInE selection
% 31.41/7.86 % (2400165)Time elapsed: 0.155 s
% 31.41/7.86 % (2400165)Peak memory usage: 132 MB
% 31.41/7.86 % (2400165)Instructions burned: 141 (million)
% 31.41/7.86 % (2400166)Refutation not found, incomplete strategy
% 31.41/7.86 % (2400166)------------------------------
% 31.41/7.86 % (2400166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400166)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400166)Termination reason: Refutation not found, incomplete strategy
% 31.41/7.86 % (2400166)Time elapsed: 0.251 s
% 31.41/7.86 % (2400166)Peak memory usage: 138 MB
% 31.41/7.86 % (2400166)Instructions burned: 225 (million)
% 31.41/7.86 % (2400169)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=2499275600:i=6060:aac=none:ins=25_2941 on theBenchmark for (2941ds/6060Mi)
% 31.41/7.86 % (2400166)------------------------------
% 31.41/7.86 % (2400166)------------------------------
% 31.41/7.86 % (2400171)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=4251526959:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2935 on theBenchmark for (2935ds/150Mi)
% 31.41/7.86 % (2400112)First to succeed.
% 31.41/7.86 % (2400112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2400066"
% 31.41/7.86 % (2400171)Instruction limit reached!
% 31.41/7.86 % (2400171)------------------------------
% 31.41/7.86 % (2400171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.41/7.86 % (2400171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.41/7.86 % (2400171)CaDiCaL version: 2.1.3
% 31.41/7.86 % (2400171)Termination reason: Instruction limit
% 31.41/7.86 % (2400171)Termination phase: SInE selection
% 31.41/7.86 % (2400171)Time elapsed: 0.162 s
% 31.41/7.86 % (2400171)Peak memory usage: 132 MB
% 31.41/7.86 % (2400171)Instructions burned: 150 (million)
% 31.41/7.86 % (2400112)Refutation found. Thanks to Tanya!
% 31.41/7.86 % SZS status Theorem for theBenchmark
% 31.41/7.86 % SZS output start Proof for theBenchmark
% See solution above
% 36.89/8.16 % (2400112)------------------------------
% 36.89/8.16 % (2400112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.89/8.16 % (2400112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/8.16 % (2400112)CaDiCaL version: 2.1.3
% 36.89/8.16 % (2400112)Termination reason: Refutation
% 36.89/8.16 % (2400112)Time elapsed: 4.357 s
% 36.89/8.16 % (2400112)Peak memory usage: 296 MB
% 36.89/8.16 % (2400112)Instructions burned: 5856 (million)
% 36.89/8.16 % (2400112)------------------------------
% 36.89/8.16 % (2400112)------------------------------
% 36.89/8.16 % (2400066)Success in time 7.005 s
% 36.89/8.16 % Vampire exiting
%------------------------------------------------------------------------------