%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT303+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:42 AM UTC 2026
% Result : Theorem 8.12s 2.71s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 139 ( 26 unt; 4 def)
% Number of atoms : 490 ( 38 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 569 ( 218 ~; 234 |; 83 &)
% ( 10 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 111 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2454,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
=> v14_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_filter_0) ).
fof(f2456,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f2564,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2569,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2597,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2644,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f2669,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2857,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2872,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f2873,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2902,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f2903,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f2942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f2951,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
=> v13_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_filter_2) ).
fof(f2952,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
=> v13_lattices(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f2951]) ).
fof(f2976,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2872]) ).
fof(f2977,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f2976]) ).
fof(f2978,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2873]) ).
fof(f2979,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f2978]) ).
fof(f3036,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2902]) ).
fof(f3037,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3036]) ).
fof(f3038,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f2903]) ).
fof(f3039,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f3038]) ).
fof(f3113,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2942]) ).
fof(f3114,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3113]) ).
fof(f3131,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(X0)
& m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2952]) ).
fof(f3132,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(X0)
& m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f3131]) ).
fof(f3142,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f3143,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3142]) ).
fof(f3189,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2456]) ).
fof(f3190,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3189]) ).
fof(f3259,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3262,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,[],[f2569]) ).
fof(f3263,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,[],[f3262]) ).
fof(f3264,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2564]) ).
fof(f3265,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3264]) ).
fof(f3431,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2597]) ).
fof(f3432,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,[],[f3431]) ).
fof(f3497,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2644]) ).
fof(f3498,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3497]) ).
fof(f3587,plain,
! [X0] :
( ! [X1] :
( v14_lattices(X0)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2454]) ).
fof(f3588,plain,
! [X0] :
( ! [X1] :
( v14_lattices(X0)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3587]) ).
fof(f4774,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f2977]) ).
fof(f4803,plain,
( ~ v13_lattices(sK18)
& m2_filter_2(k6_domain_1(u1_struct_0(sK18),sK19),sK18)
& m1_subset_1(sK19,u1_struct_0(sK18))
& ~ v3_struct_0(sK18)
& v10_lattices(sK18)
& l3_lattices(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f3132]) ).
fof(f4983,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f3498]) ).
fof(f5433,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4774]) ).
fof(f5435,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f2979]) ).
fof(f5468,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3037]) ).
fof(f5469,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f3039]) ).
fof(f5548,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3114]) ).
fof(f5571,plain,
l3_lattices(sK18),
inference(cnf_transformation,[],[f4803]) ).
fof(f5572,plain,
v10_lattices(sK18),
inference(cnf_transformation,[],[f4803]) ).
fof(f5573,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f4803]) ).
fof(f5574,plain,
m1_subset_1(sK19,u1_struct_0(sK18)),
inference(cnf_transformation,[],[f4803]) ).
fof(f5575,plain,
m2_filter_2(k6_domain_1(u1_struct_0(sK18),sK19),sK18),
inference(cnf_transformation,[],[f4803]) ).
fof(f5576,plain,
~ v13_lattices(sK18),
inference(cnf_transformation,[],[f4803]) ).
fof(f5597,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3143]) ).
fof(f5654,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3190]) ).
fof(f5731,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3259]) ).
fof(f5734,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3263]) ).
fof(f5744,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3265]) ).
fof(f5995,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3432]) ).
fof(f6079,plain,
! [X0] :
( ~ v14_lattices(k1_lattice2(X0))
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f4983]) ).
fof(f6228,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3588]) ).
fof(f9047,plain,
( v3_struct_0(sK18)
| u1_struct_0(sK18) = k1_filter_0(sK18)
| ~ l3_lattices(sK18) ),
inference(resolution,[],[f5654,f5572]) ).
fof(f9048,plain,
( u1_struct_0(sK18) = k1_filter_0(sK18)
| ~ l3_lattices(sK18) ),
inference(forward_subsumption_resolution,[],[f9047,f5573]) ).
fof(f9049,plain,
u1_struct_0(sK18) = k1_filter_0(sK18),
inference(forward_subsumption_resolution,[],[f9048,f5571]) ).
fof(f9050,plain,
m1_subset_1(sK19,k1_filter_0(sK18)),
inference(superposition,[],[f5574,f9049]) ).
fof(f9051,plain,
m2_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),sK18),
inference(superposition,[],[f5575,f9049]) ).
fof(f9065,plain,
( v3_struct_0(sK18)
| u1_struct_0(sK18) = u1_struct_0(k1_lattice2(sK18)) ),
inference(resolution,[],[f5995,f5571]) ).
fof(f9066,plain,
u1_struct_0(sK18) = u1_struct_0(k1_lattice2(sK18)),
inference(forward_subsumption_resolution,[],[f9065,f5573]) ).
fof(f9067,plain,
k1_filter_0(sK18) = u1_struct_0(k1_lattice2(sK18)),
inference(forward_demodulation,[],[f9066,f9049]) ).
fof(f9076,definition,
( spl402_9
<=> v3_struct_0(k1_lattice2(sK18)) ),
introduced(definition,[new_symbols(definition,[spl402_9])],[avatar_definition]) ).
fof(f9077,plain,
( v3_struct_0(k1_lattice2(sK18))
| ~ spl402_9 ),
inference(avatar_component_clause,[],[f9076]) ).
fof(f9082,plain,
! [X0] :
( ~ m2_filter_2(X0,sK18)
| v3_struct_0(sK18)
| m2_lattice4(X0,sK18)
| ~ l3_lattices(sK18) ),
inference(resolution,[],[f5435,f5572]) ).
fof(f9083,plain,
! [X0] :
( ~ m2_filter_2(X0,sK18)
| m2_lattice4(X0,sK18)
| ~ l3_lattices(sK18) ),
inference(forward_subsumption_resolution,[],[f9082,f5573]) ).
fof(f9084,plain,
! [X0] :
( ~ m2_filter_2(X0,sK18)
| m2_lattice4(X0,sK18) ),
inference(forward_subsumption_resolution,[],[f9083,f5571]) ).
fof(f9086,plain,
m2_lattice4(k6_domain_1(k1_filter_0(sK18),sK19),sK18),
inference(resolution,[],[f9084,f9051]) ).
fof(f9104,plain,
! [X0] :
( v3_struct_0(sK18)
| k7_filter_2(sK18,X0) = k15_filter_2(sK18,X0)
| ~ l3_lattices(sK18)
| ~ m2_filter_2(X0,sK18) ),
inference(resolution,[],[f5469,f5572]) ).
fof(f9105,plain,
! [X0] :
( k7_filter_2(sK18,X0) = k15_filter_2(sK18,X0)
| ~ l3_lattices(sK18)
| ~ m2_filter_2(X0,sK18) ),
inference(forward_subsumption_resolution,[],[f9104,f5573]) ).
fof(f9106,plain,
! [X0] :
( ~ m2_filter_2(X0,sK18)
| k7_filter_2(sK18,X0) = k15_filter_2(sK18,X0) ),
inference(forward_subsumption_resolution,[],[f9105,f5571]) ).
fof(f9108,plain,
k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)) = k15_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),
inference(resolution,[],[f9106,f9051]) ).
fof(f9116,plain,
l3_lattices(k1_lattice2(sK18)),
inference(resolution,[],[f5731,f5571]) ).
fof(f9127,plain,
! [X0] :
( ~ m2_lattice4(X0,sK18)
| v3_struct_0(sK18)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l3_lattices(sK18) ),
inference(resolution,[],[f5597,f5572]) ).
fof(f9128,plain,
! [X0] :
( ~ m2_lattice4(X0,sK18)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l3_lattices(sK18) ),
inference(forward_subsumption_resolution,[],[f9127,f5573]) ).
fof(f9129,plain,
! [X0] :
( ~ m2_lattice4(X0,sK18)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(forward_subsumption_resolution,[],[f9128,f5571]) ).
fof(f9130,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK18)))
| ~ m2_lattice4(X0,sK18) ),
inference(forward_demodulation,[],[f9129,f9049]) ).
fof(f9136,plain,
( v3_struct_0(sK18)
| ~ l3_lattices(sK18)
| ~ spl402_9 ),
inference(resolution,[],[f5744,f9077]) ).
fof(f9138,plain,
( ~ l3_lattices(sK18)
| ~ spl402_9 ),
inference(forward_subsumption_resolution,[],[f9136,f5573]) ).
fof(f9139,plain,
( $false
| ~ spl402_9 ),
inference(forward_subsumption_resolution,[],[f9138,f5571]) ).
fof(f9140,plain,
~ spl402_9,
inference(avatar_contradiction_clause,[],[f9139]) ).
fof(f9142,plain,
( v3_struct_0(sK18)
| v10_lattices(k1_lattice2(sK18))
| ~ l3_lattices(sK18) ),
inference(resolution,[],[f5734,f5572]) ).
fof(f9144,plain,
( v10_lattices(k1_lattice2(sK18))
| ~ l3_lattices(sK18) ),
inference(forward_subsumption_resolution,[],[f9142,f5573]) ).
fof(f9148,plain,
v10_lattices(k1_lattice2(sK18)),
inference(forward_subsumption_resolution,[],[f9144,f5571]) ).
fof(f9149,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK18))
| v3_struct_0(k1_lattice2(sK18))
| m1_filter_0(X0,k1_lattice2(sK18))
| ~ l3_lattices(k1_lattice2(sK18)) ),
inference(resolution,[],[f9148,f5433]) ).
fof(f9158,plain,
! [X0] :
( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK18)),X0),k1_lattice2(sK18))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK18)))
| v3_struct_0(k1_lattice2(sK18))
| v14_lattices(k1_lattice2(sK18))
| ~ l3_lattices(k1_lattice2(sK18)) ),
inference(resolution,[],[f9148,f6228]) ).
fof(f9161,plain,
! [X0] :
( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK18)),X0),k1_lattice2(sK18))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK18)))
| v3_struct_0(k1_lattice2(sK18))
| v14_lattices(k1_lattice2(sK18)) ),
inference(forward_subsumption_resolution,[],[f9158,f9116]) ).
fof(f9170,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK18))
| v3_struct_0(k1_lattice2(sK18))
| m1_filter_0(X0,k1_lattice2(sK18)) ),
inference(forward_subsumption_resolution,[],[f9149,f9116]) ).
fof(f9172,plain,
! [X0] :
( ~ m1_filter_0(k6_domain_1(k1_filter_0(sK18),X0),k1_lattice2(sK18))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK18)))
| v3_struct_0(k1_lattice2(sK18))
| v14_lattices(k1_lattice2(sK18)) ),
inference(forward_demodulation,[],[f9161,f9067]) ).
fof(f9194,definition,
( spl402_18
<=> ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK18))
| m1_filter_0(X0,k1_lattice2(sK18)) ) ),
introduced(definition,[new_symbols(definition,[spl402_18])],[avatar_definition]) ).
fof(f9195,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK18))
| m1_filter_0(X0,k1_lattice2(sK18)) )
| ~ spl402_18 ),
inference(avatar_component_clause,[],[f9194]) ).
fof(f9196,plain,
( spl402_9
| spl402_18 ),
inference(avatar_split_clause,[],[f9170,f9194,f9076]) ).
fof(f9198,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK18))
| ~ m1_filter_0(k6_domain_1(k1_filter_0(sK18),X0),k1_lattice2(sK18))
| v3_struct_0(k1_lattice2(sK18))
| v14_lattices(k1_lattice2(sK18)) ),
inference(forward_demodulation,[],[f9172,f9067]) ).
fof(f9217,definition,
( spl402_23
<=> v14_lattices(k1_lattice2(sK18)) ),
introduced(definition,[new_symbols(definition,[spl402_23])],[avatar_definition]) ).
fof(f9218,plain,
( v14_lattices(k1_lattice2(sK18))
| ~ spl402_23 ),
inference(avatar_component_clause,[],[f9217]) ).
fof(f9220,definition,
( spl402_24
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK18))
| ~ m1_filter_0(k6_domain_1(k1_filter_0(sK18),X0),k1_lattice2(sK18)) ) ),
introduced(definition,[new_symbols(definition,[spl402_24])],[avatar_definition]) ).
fof(f9221,plain,
( ! [X0] :
( ~ m1_filter_0(k6_domain_1(k1_filter_0(sK18),X0),k1_lattice2(sK18))
| ~ m1_subset_1(X0,k1_filter_0(sK18)) )
| ~ spl402_24 ),
inference(avatar_component_clause,[],[f9220]) ).
fof(f9222,plain,
( spl402_23
| spl402_9
| spl402_24 ),
inference(avatar_split_clause,[],[f9198,f9220,f9076,f9217]) ).
fof(f9237,plain,
( v13_lattices(sK18)
| v3_struct_0(sK18)
| ~ v10_lattices(sK18)
| ~ l3_lattices(sK18)
| ~ spl402_23 ),
inference(resolution,[],[f9218,f6079]) ).
fof(f9239,plain,
( v3_struct_0(sK18)
| ~ v10_lattices(sK18)
| ~ l3_lattices(sK18)
| ~ spl402_23 ),
inference(forward_subsumption_resolution,[],[f9237,f5576]) ).
fof(f9240,plain,
( ~ v10_lattices(sK18)
| ~ l3_lattices(sK18)
| ~ spl402_23 ),
inference(forward_subsumption_resolution,[],[f9239,f5573]) ).
fof(f9241,plain,
( ~ l3_lattices(sK18)
| ~ spl402_23 ),
inference(forward_subsumption_resolution,[],[f9240,f5572]) ).
fof(f9242,plain,
( $false
| ~ spl402_23 ),
inference(forward_subsumption_resolution,[],[f9241,f5571]) ).
fof(f9243,plain,
~ spl402_23,
inference(avatar_contradiction_clause,[],[f9242]) ).
fof(f9344,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v3_struct_0(sK18)
| k7_filter_2(sK18,X0) = X0
| ~ l3_lattices(sK18) ),
inference(resolution,[],[f5548,f5572]) ).
fof(f9347,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k7_filter_2(sK18,X0) = X0
| ~ l3_lattices(sK18) ),
inference(forward_subsumption_resolution,[],[f9344,f5573]) ).
fof(f9349,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k7_filter_2(sK18,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9347,f5571]) ).
fof(f9354,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK18)))
| k7_filter_2(sK18,X0) = X0 ),
inference(forward_demodulation,[],[f9349,f9049]) ).
fof(f9358,plain,
! [X0] :
( ~ m2_lattice4(X0,sK18)
| k7_filter_2(sK18,X0) = X0 ),
inference(resolution,[],[f9354,f9130]) ).
fof(f9379,plain,
k6_domain_1(k1_filter_0(sK18),sK19) = k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),
inference(resolution,[],[f9358,f9086]) ).
fof(f9431,plain,
( m1_filter_2(k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),k1_lattice2(sK18))
| v3_struct_0(sK18)
| ~ v10_lattices(sK18)
| ~ l3_lattices(sK18)
| ~ m2_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),sK18) ),
inference(superposition,[],[f5468,f9108]) ).
fof(f9432,plain,
( m1_filter_2(k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),k1_lattice2(sK18))
| ~ v10_lattices(sK18)
| ~ l3_lattices(sK18)
| ~ m2_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),sK18) ),
inference(forward_subsumption_resolution,[],[f9431,f5573]) ).
fof(f9433,plain,
( m1_filter_2(k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),k1_lattice2(sK18))
| ~ l3_lattices(sK18)
| ~ m2_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),sK18) ),
inference(forward_subsumption_resolution,[],[f9432,f5572]) ).
fof(f9434,plain,
( m1_filter_2(k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),k1_lattice2(sK18))
| ~ m2_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),sK18) ),
inference(forward_subsumption_resolution,[],[f9433,f5571]) ).
fof(f9435,plain,
m1_filter_2(k7_filter_2(sK18,k6_domain_1(k1_filter_0(sK18),sK19)),k1_lattice2(sK18)),
inference(forward_subsumption_resolution,[],[f9434,f9051]) ).
fof(f9436,plain,
m1_filter_2(k6_domain_1(k1_filter_0(sK18),sK19),k1_lattice2(sK18)),
inference(forward_demodulation,[],[f9435,f9379]) ).
fof(f9438,plain,
( m1_filter_0(k6_domain_1(k1_filter_0(sK18),sK19),k1_lattice2(sK18))
| ~ spl402_18 ),
inference(resolution,[],[f9436,f9195]) ).
fof(f9439,plain,
( $false
| ~ spl402_18
| ~ spl402_24 ),
inference(unit_resulting_resolution,[],[f9221,f9050,f9438]) ).
fof(f9441,plain,
( ~ spl402_18
| ~ spl402_24 ),
inference(avatar_contradiction_clause,[],[f9439]) ).
cnf(s10,plain,
~ spl402_9,
inference(sat_conversion,[],[f9140]) ).
cnf(s17,plain,
( spl402_9
| spl402_18 ),
inference(sat_conversion,[],[f9196]) ).
cnf(s22,plain,
( spl402_9
| spl402_23
| spl402_24 ),
inference(sat_conversion,[],[f9222]) ).
cnf(s25,plain,
~ spl402_23,
inference(sat_conversion,[],[f9243]) ).
cnf(s37,plain,
( ~ spl402_18
| ~ spl402_24 ),
inference(sat_conversion,[],[f9441]) ).
cnf(s41,plain,
( spl402_9
| spl402_24 ),
inference(rat,[],[s22,s25]) ).
cnf(s49,plain,
spl402_24,
inference(rat,[],[s41,s10]) ).
cnf(s54,plain,
spl402_18,
inference(rat,[],[s17,s10]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s37,s49,s54]) ).
fof(f9444,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT303+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:24:40 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.32/2.55 % (1274047)Detected formulas, will run a generic FOF schedule.
% 11.32/2.55 % (1274058)dis-21_1_sil=8000:lcm=predicate:random_seed=1179667565:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.32/2.55 % (1274055)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2789620108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.32/2.55 % (1274054)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=4121298902:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.32/2.55 % (1274053)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=913987094:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.32/2.55 % (1274052)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=753582333:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.32/2.55 % (1274056)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=532922818:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.32/2.55 % (1274055)Refutation not found, incomplete strategy
% 11.32/2.55 % (1274055)------------------------------
% 11.32/2.55 % (1274055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.55 % (1274055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.55 % (1274055)CaDiCaL version: 2.1.3
% 11.32/2.55 % (1274055)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.55 % (1274055)Time elapsed: 0.015 s
% 11.32/2.55 % (1274055)Peak memory usage: 91 MB
% 11.32/2.55 % (1274055)Instructions burned: 18 (million)
% 11.32/2.55 % (1274057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2687580673:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.32/2.55 % (1274058)Instruction limit reached!
% 11.32/2.55 % (1274058)------------------------------
% 11.32/2.55 % (1274058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.55 % (1274058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.55 % (1274058)CaDiCaL version: 2.1.3
% 11.32/2.55 % (1274058)Termination reason: Instruction limit
% 11.32/2.55 % (1274058)Termination phase: Function definition elimination
% 11.32/2.55 % (1274058)Time elapsed: 0.049 s
% 11.32/2.55 % (1274058)Peak memory usage: 93 MB
% 11.32/2.55 % (1274058)Instructions burned: 131 (million)
% 11.32/2.55 % (1274056)Instruction limit reached!
% 11.32/2.55 % (1274056)------------------------------
% 11.32/2.55 % (1274056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.55 % (1274056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.55 % (1274056)CaDiCaL version: 2.1.3
% 11.32/2.55 % (1274056)Termination reason: Instruction limit
% 11.32/2.55 % (1274056)Termination phase: Saturation
% 11.32/2.55 % (1274056)Time elapsed: 0.077 s
% 11.32/2.55 % (1274056)Peak memory usage: 93 MB
% 11.32/2.55 % (1274056)Instructions burned: 120 (million)
% 11.32/2.55 % (1274057)Instruction limit reached!
% 11.32/2.55 % (1274057)------------------------------
% 11.32/2.55 % (1274057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.55 % (1274057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.55 % (1274057)CaDiCaL version: 2.1.3
% 11.32/2.55 % (1274057)Termination reason: Instruction limit
% 11.32/2.55 % (1274057)Termination phase: Property scanning
% 11.32/2.55 % (1274057)Time elapsed: 0.089 s
% 11.32/2.55 % (1274057)Peak memory usage: 94 MB
% 11.32/2.55 % (1274057)Instructions burned: 141 (million)
% 11.32/2.55 % (1274066)lrs+10_1_sil=8000:sp=occurrence:random_seed=1986964665:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.32/2.55 % (1274067)lrs+10_1_sil=32000:urr=on:br=off:random_seed=838143883:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.32/2.55 % (1274066)Instruction limit reached!
% 11.32/2.55 % (1274066)------------------------------
% 11.32/2.55 % (1274066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.55 % (1274066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.55 % (1274066)CaDiCaL version: 2.1.3
% 11.32/2.55 % (1274066)Termination reason: Instruction limit
% 8.12/2.71 % (1274066)Termination phase: Saturation
% 8.12/2.71 % (1274066)Time elapsed: 0.104 s
% 8.12/2.71 % (1274066)Peak memory usage: 95 MB
% 8.12/2.71 % (1274066)Instructions burned: 287 (million)
% 8.12/2.71 % (1274067)Refutation not found, incomplete strategy
% 8.12/2.71 % (1274067)------------------------------
% 8.12/2.71 % (1274067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274067)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274067)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.71 % (1274067)Time elapsed: 0.029 s
% 8.12/2.71 % (1274067)Peak memory usage: 92 MB
% 8.12/2.71 % (1274067)Instructions burned: 50 (million)
% 8.12/2.71 % (1274068)lrs+1011_1_sil=32000:sp=occurrence:random_seed=668485977:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.12/2.71 % (1274055)------------------------------
% 8.12/2.71 % (1274055)------------------------------
% 8.12/2.71 % (1274068)Refutation not found, incomplete strategy
% 8.12/2.71 % (1274068)------------------------------
% 8.12/2.71 % (1274068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274068)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274068)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.71 % (1274068)Time elapsed: 0.019 s
% 8.12/2.71 % (1274068)Peak memory usage: 92 MB
% 8.12/2.71 % (1274068)Instructions burned: 23 (million)
% 8.12/2.71 % (1274071)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=443274351:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.12/2.71 % (1274073)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3753426446:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.12/2.71 % (1274071)Instruction limit reached!
% 8.12/2.71 % (1274071)------------------------------
% 8.12/2.71 % (1274071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274071)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274071)Termination reason: Instruction limit
% 8.12/2.71 % (1274071)Termination phase: Saturation
% 8.12/2.71 % (1274071)Time elapsed: 0.076 s
% 8.12/2.71 % (1274071)Peak memory usage: 97 MB
% 8.12/2.71 % (1274071)Instructions burned: 248 (million)
% 8.12/2.71 % (1274067)------------------------------
% 8.12/2.71 % (1274067)------------------------------
% 8.12/2.71 % (1274076)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1262792341:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.12/2.71 % (1274068)------------------------------
% 8.12/2.71 % (1274068)------------------------------
% 8.12/2.71 % (1274073)Instruction limit reached!
% 8.12/2.71 % (1274073)------------------------------
% 8.12/2.71 % (1274073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274073)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274073)Termination reason: Instruction limit
% 8.12/2.71 % (1274073)Termination phase: Saturation
% 8.12/2.71 % (1274073)Time elapsed: 0.163 s
% 8.12/2.71 % (1274073)Peak memory usage: 94 MB
% 8.12/2.71 % (1274073)Instructions burned: 295 (million)
% 8.12/2.71 % (1274077)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2595870205:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.12/2.71 % (1274079)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1380933110:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.12/2.71 % (1274080)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2972604623:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.12/2.71 % (1274077)Instruction limit reached!
% 8.12/2.71 % (1274077)------------------------------
% 8.12/2.71 % (1274077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274077)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274077)Termination reason: Instruction limit
% 8.12/2.71 % (1274077)Termination phase: Saturation
% 8.12/2.71 % (1274077)Time elapsed: 0.066 s
% 8.12/2.71 % (1274077)Peak memory usage: 93 MB
% 8.12/2.71 % (1274077)Instructions burned: 113 (million)
% 8.12/2.71 % (1274079)Instruction limit reached!
% 8.12/2.71 % (1274079)------------------------------
% 8.12/2.71 % (1274079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274079)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274079)Termination reason: Instruction limit
% 8.12/2.71 % (1274079)Termination phase: Property scanning
% 8.12/2.71 % (1274079)Time elapsed: 0.077 s
% 8.12/2.71 % (1274079)Peak memory usage: 94 MB
% 8.12/2.71 % (1274079)Instructions burned: 129 (million)
% 8.12/2.71 % (1274080)Instruction limit reached!
% 8.12/2.71 % (1274080)------------------------------
% 8.12/2.71 % (1274080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274080)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274080)Termination reason: Instruction limit
% 8.12/2.71 % (1274080)Termination phase: Property scanning
% 8.12/2.71 % (1274080)Time elapsed: 0.057 s
% 8.12/2.71 % (1274080)Peak memory usage: 91 MB
% 8.12/2.71 % (1274080)Instructions burned: 115 (million)
% 8.12/2.71 % (1274084)lrs+10_1_sil=8000:sp=occurrence:random_seed=1955193870:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.12/2.71 % (1274085)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2773495958:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.12/2.71 % (1274086)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4044716894:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.12/2.71 % (1274085)Refutation not found, incomplete strategy
% 8.12/2.71 % (1274085)------------------------------
% 8.12/2.71 % (1274085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274085)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274085)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.71 % (1274085)Time elapsed: 0.042 s
% 8.12/2.71 % (1274085)Peak memory usage: 93 MB
% 8.12/2.71 % (1274085)Instructions burned: 68 (million)
% 8.12/2.71 % (1274085)------------------------------
% 8.12/2.71 % (1274085)------------------------------
% 8.12/2.71 % (1274090)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3260845716:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 8.12/2.71 % (1274076)Instruction limit reached!
% 8.12/2.71 % (1274076)------------------------------
% 8.12/2.71 % (1274076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274076)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274076)Termination reason: Instruction limit
% 8.12/2.71 % (1274076)Termination phase: Saturation
% 8.12/2.71 % (1274076)Time elapsed: 0.831 s
% 8.12/2.71 % (1274076)Peak memory usage: 232 MB
% 8.12/2.71 % (1274076)Instructions burned: 2352 (million)
% 8.12/2.71 % (1274053)First to succeed.
% 8.12/2.71 % (1274053)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1274047"
% 8.12/2.71 % (1274090)Instruction limit reached!
% 8.12/2.71 % (1274090)------------------------------
% 8.12/2.71 % (1274090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274090)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274090)Termination reason: Instruction limit
% 8.12/2.71 % (1274090)Termination phase: Saturation
% 8.12/2.71 % (1274090)Time elapsed: 0.082 s
% 8.12/2.71 % (1274090)Peak memory usage: 94 MB
% 8.12/2.71 % (1274090)Instructions burned: 134 (million)
% 8.12/2.71 % (1274092)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3152906103:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 8.12/2.71 % (1274084)Instruction limit reached!
% 8.12/2.71 % (1274084)------------------------------
% 8.12/2.71 % (1274084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274084)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274084)Termination reason: Instruction limit
% 8.12/2.71 % (1274084)Termination phase: Saturation
% 8.12/2.71 % (1274084)Time elapsed: 0.608 s
% 8.12/2.71 % (1274084)Peak memory usage: 104 MB
% 8.12/2.71 % (1274084)Instructions burned: 908 (million)
% 8.12/2.71 % (1274093)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=723306777:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 8.12/2.71 % (1274095)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=1943204272:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 8.12/2.71 % (1274092)Instruction limit reached!
% 8.12/2.71 % (1274092)------------------------------
% 8.12/2.71 % (1274092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.71 % (1274092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.71 % (1274092)CaDiCaL version: 2.1.3
% 8.12/2.71 % (1274092)Termination reason: Instruction limit
% 8.12/2.71 % (1274092)Termination phase: Saturation
% 8.12/2.71 % (1274092)Time elapsed: 0.165 s
% 8.12/2.71 % (1274092)Peak memory usage: 102 MB
% 8.12/2.71 % (1274092)Instructions burned: 593 (million)
% 8.12/2.71 % (1274053)Refutation found. Thanks to Tanya!
% 8.12/2.71 % SZS status Theorem for theBenchmark
% 8.12/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.91 % (1274053)------------------------------
% 0.18/2.91 % (1274053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.91 % (1274053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.91 % (1274053)CaDiCaL version: 2.1.3
% 0.18/2.91 % (1274053)Termination reason: Refutation
% 0.18/2.91 % (1274053)Time elapsed: 1.332 s
% 0.18/2.91 % (1274053)Peak memory usage: 173 MB
% 0.18/2.91 % (1274053)Instructions burned: 2163 (million)
% 0.18/2.91 % (1274053)------------------------------
% 0.18/2.91 % (1274053)------------------------------
% 0.18/2.91 % (1274047)Success in time 1.849 s
% 0.18/2.91 % Vampire exiting
%------------------------------------------------------------------------------