%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT308+2 : 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 : n014.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 14.03s 3.18s
% Output : Refutation 14.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 139 ( 32 unt; 4 def)
% Number of atoms : 527 ( 125 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 648 ( 260 ~; 272 |; 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 : 139 ( 0 sgn 133 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f2465,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(f2564,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(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f2633,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(f2669,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(f2882,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(f2937,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(f2954,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(f2957,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(f2963,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(f2964,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)],[f2963]) ).
fof(f3008,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,[],[f2882]) ).
fof(f3009,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,[],[f3008]) ).
fof(f3115,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,[],[f2937]) ).
fof(f3116,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,[],[f3115]) ).
fof(f3149,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2954]) ).
fof(f3150,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3149]) ).
fof(f3155,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,[],[f2957]) ).
fof(f3156,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,[],[f3155]) ).
fof(f3167,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,[],[f2964]) ).
fof(f3168,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,[],[f3167]) ).
fof(f3241,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(f3242,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3241]) ).
fof(f3257,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,[],[f2465]) ).
fof(f3258,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,[],[f3257]) ).
fof(f3311,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2669]) ).
fof(f3314,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(f3315,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,[],[f3314]) ).
fof(f3316,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(f3317,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f3316]) ).
fof(f3475,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(f3476,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,[],[f3475]) ).
fof(f3603,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,[],[f2633]) ).
fof(f3604,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,[],[f3603]) ).
fof(f4849,plain,
( sK22 != k3_lattices(sK21,sK22,sK23)
& m1_subset_1(sK23,u1_struct_0(sK21))
& u1_struct_0(sK21) = k18_filter_2(sK21,sK22)
& m1_subset_1(sK22,u1_struct_0(sK21))
& ~ v3_struct_0(sK21)
& v10_lattices(sK21)
& l3_lattices(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X0,sK21),skolemize(X1,sK22),skolemize(X2,sK23)],[f3168]) ).
fof(f5495,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,[],[f3009]) ).
fof(f5584,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,[],[f3116]) ).
fof(f5623,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3150]) ).
fof(f5628,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,[],[f3156]) ).
fof(f5644,plain,
l3_lattices(sK21),
inference(cnf_transformation,[],[f4849]) ).
fof(f5645,plain,
v10_lattices(sK21),
inference(cnf_transformation,[],[f4849]) ).
fof(f5646,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f4849]) ).
fof(f5647,plain,
m1_subset_1(sK22,u1_struct_0(sK21)),
inference(cnf_transformation,[],[f4849]) ).
fof(f5648,plain,
u1_struct_0(sK21) = k18_filter_2(sK21,sK22),
inference(cnf_transformation,[],[f4849]) ).
fof(f5649,plain,
m1_subset_1(sK23,u1_struct_0(sK21)),
inference(cnf_transformation,[],[f4849]) ).
fof(f5650,plain,
sK22 != k3_lattices(sK21,sK22,sK23),
inference(cnf_transformation,[],[f4849]) ).
fof(f5756,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3242]) ).
fof(f5767,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,[],[f3258]) ).
fof(f5833,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3311]) ).
fof(f5836,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3315]) ).
fof(f5846,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f3317]) ).
fof(f6087,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f3476]) ).
fof(f6278,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,[],[f3604]) ).
fof(f8613,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,[],[f6278]) ).
fof(f8614,plain,
! [X3,X0,X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| k4_lattices(k1_lattice2(X0),X3,X4) = k3_lattices(X0,X3,X4)
| ~ 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)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f8613]) ).
fof(f9131,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| v3_struct_0(sK21)
| k18_filter_2(sK21,X0) = k2_filter_2(k1_lattice2(sK21),k5_filter_2(sK21,X0))
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5628,f5645]) ).
fof(f9132,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| k18_filter_2(sK21,X0) = k2_filter_2(k1_lattice2(sK21),k5_filter_2(sK21,X0))
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9131,f5646]) ).
fof(f9133,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| k18_filter_2(sK21,X0) = k2_filter_2(k1_lattice2(sK21),k5_filter_2(sK21,X0)) ),
inference(forward_subsumption_resolution,[],[f9132,f5644]) ).
fof(f9150,plain,
k18_filter_2(sK21,sK22) = k2_filter_2(k1_lattice2(sK21),k5_filter_2(sK21,sK22)),
inference(resolution,[],[f9133,f5647]) ).
fof(f9153,plain,
u1_struct_0(sK21) = k2_filter_2(k1_lattice2(sK21),k5_filter_2(sK21,sK22)),
inference(forward_demodulation,[],[f9150,f5648]) ).
fof(f9159,plain,
( v3_struct_0(sK21)
| u1_struct_0(sK21) = k17_filter_2(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5623,f5645]) ).
fof(f9160,plain,
( u1_struct_0(sK21) = k17_filter_2(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9159,f5646]) ).
fof(f9161,plain,
u1_struct_0(sK21) = k17_filter_2(sK21),
inference(forward_subsumption_resolution,[],[f9160,f5644]) ).
fof(f9167,plain,
( v3_struct_0(sK21)
| u1_struct_0(sK21) = k1_filter_0(sK21)
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5756,f5645]) ).
fof(f9168,plain,
( u1_struct_0(sK21) = k1_filter_0(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9167,f5646]) ).
fof(f9169,plain,
u1_struct_0(sK21) = k1_filter_0(sK21),
inference(forward_subsumption_resolution,[],[f9168,f5644]) ).
fof(f9171,plain,
m1_subset_1(sK22,k1_filter_0(sK21)),
inference(superposition,[],[f5647,f9169]) ).
fof(f9172,plain,
m1_subset_1(sK23,k1_filter_0(sK21)),
inference(superposition,[],[f5649,f9169]) ).
fof(f9176,plain,
k17_filter_2(sK21) = k1_filter_0(sK21),
inference(superposition,[],[f9161,f9169]) ).
fof(f9177,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| v3_struct_0(sK21)
| k5_filter_2(sK21,X0) = X0
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5584,f5645]) ).
fof(f9178,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| k5_filter_2(sK21,X0) = X0
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9177,f5646]) ).
fof(f9179,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK21))
| k5_filter_2(sK21,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f9178,f5644]) ).
fof(f9180,plain,
! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK21))
| k5_filter_2(sK21,X0) = X0 ),
inference(forward_demodulation,[],[f9179,f9161]) ).
fof(f9181,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k5_filter_2(sK21,X0) = X0 ),
inference(forward_demodulation,[],[f9180,f9176]) ).
fof(f9193,plain,
sK22 = k5_filter_2(sK21,sK22),
inference(resolution,[],[f9181,f9171]) ).
fof(f9195,plain,
u1_struct_0(sK21) = k2_filter_2(k1_lattice2(sK21),sK22),
inference(superposition,[],[f9153,f9193]) ).
fof(f9196,plain,
k17_filter_2(sK21) = k2_filter_2(k1_lattice2(sK21),sK22),
inference(forward_demodulation,[],[f9195,f9161]) ).
fof(f9197,plain,
k1_filter_0(sK21) = k2_filter_2(k1_lattice2(sK21),sK22),
inference(forward_demodulation,[],[f9196,f9176]) ).
fof(f9250,plain,
( v3_struct_0(sK21)
| u1_struct_0(sK21) = u1_struct_0(k1_lattice2(sK21)) ),
inference(resolution,[],[f6087,f5644]) ).
fof(f9251,plain,
u1_struct_0(sK21) = u1_struct_0(k1_lattice2(sK21)),
inference(forward_subsumption_resolution,[],[f9250,f5646]) ).
fof(f9252,plain,
k17_filter_2(sK21) = u1_struct_0(k1_lattice2(sK21)),
inference(forward_demodulation,[],[f9251,f9161]) ).
fof(f9253,plain,
k1_filter_0(sK21) = u1_struct_0(k1_lattice2(sK21)),
inference(forward_demodulation,[],[f9252,f9176]) ).
fof(f9254,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(superposition,[],[f8614,f9253]) ).
fof(f9255,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21))
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9254,f5646]) ).
fof(f9256,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21))
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9255,f5645]) ).
fof(f9257,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X0,u1_struct_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21)) ),
inference(forward_subsumption_resolution,[],[f9256,f5644]) ).
fof(f9258,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k17_filter_2(sK21))
| ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21)) ),
inference(forward_demodulation,[],[f9257,f9161]) ).
fof(f9259,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21)) ),
inference(forward_demodulation,[],[f9258,f9176]) ).
fof(f9260,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X1,u1_struct_0(sK21)) ),
inference(duplicate_literal_removal,[],[f9259]) ).
fof(f9261,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k17_filter_2(sK21))
| ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21)) ),
inference(forward_demodulation,[],[f9260,f9161]) ).
fof(f9262,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_0(sK21))
| ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0)
| ~ m1_subset_1(X1,k1_filter_0(sK21)) ),
inference(forward_demodulation,[],[f9261,f9176]) ).
fof(f9263,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| ~ m1_subset_1(X1,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X1,X0) = k3_lattices(sK21,X1,X0) ),
inference(duplicate_literal_removal,[],[f9262]) ).
fof(f9265,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k4_lattices(k1_lattice2(sK21),X0,sK23) = k3_lattices(sK21,X0,sK23) ),
inference(resolution,[],[f9263,f9172]) ).
fof(f9266,plain,
k3_lattices(sK21,sK22,sK23) = k4_lattices(k1_lattice2(sK21),sK22,sK23),
inference(resolution,[],[f9265,f9171]) ).
fof(f9476,plain,
( v3_struct_0(sK21)
| v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(sK21) ),
inference(resolution,[],[f5836,f5645]) ).
fof(f9477,plain,
( v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(sK21) ),
inference(forward_subsumption_resolution,[],[f9476,f5646]) ).
fof(f9478,plain,
v10_lattices(k1_lattice2(sK21)),
inference(forward_subsumption_resolution,[],[f9477,f5644]) ).
fof(f9481,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK21))
| k2_filter_2(k1_lattice2(sK21),X0) = k2_filter_0(k1_lattice2(sK21),X0)
| ~ l3_lattices(k1_lattice2(sK21))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK21))) ),
inference(resolution,[],[f9478,f5495]) ).
fof(f9525,definition,
( spl406_12
<=> l3_lattices(k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl406_12])],[avatar_definition]) ).
fof(f9526,plain,
( ~ l3_lattices(k1_lattice2(sK21))
| spl406_12 ),
inference(avatar_component_clause,[],[f9525]) ).
fof(f9531,definition,
( spl406_14
<=> v3_struct_0(k1_lattice2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl406_14])],[avatar_definition]) ).
fof(f9532,plain,
( v3_struct_0(k1_lattice2(sK21))
| ~ spl406_14 ),
inference(avatar_component_clause,[],[f9531]) ).
fof(f9557,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| v3_struct_0(k1_lattice2(sK21))
| k2_filter_2(k1_lattice2(sK21),X0) = k2_filter_0(k1_lattice2(sK21),X0)
| ~ l3_lattices(k1_lattice2(sK21)) ),
inference(forward_demodulation,[],[f9481,f9253]) ).
fof(f9618,definition,
( spl406_27
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k2_filter_2(k1_lattice2(sK21),X0) = k2_filter_0(k1_lattice2(sK21),X0) ) ),
introduced(definition,[new_symbols(definition,[spl406_27])],[avatar_definition]) ).
fof(f9619,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| k2_filter_2(k1_lattice2(sK21),X0) = k2_filter_0(k1_lattice2(sK21),X0) )
| ~ spl406_27 ),
inference(avatar_component_clause,[],[f9618]) ).
fof(f9620,plain,
( ~ spl406_12
| spl406_14
| spl406_27 ),
inference(avatar_split_clause,[],[f9557,f9618,f9531,f9525]) ).
fof(f9712,plain,
( ~ l3_lattices(sK21)
| spl406_12 ),
inference(resolution,[],[f9526,f5833]) ).
fof(f9714,plain,
( $false
| spl406_12 ),
inference(forward_subsumption_resolution,[],[f9712,f5644]) ).
fof(f9715,plain,
spl406_12,
inference(avatar_contradiction_clause,[],[f9714]) ).
fof(f9717,plain,
( v3_struct_0(sK21)
| ~ l3_lattices(sK21)
| ~ spl406_14 ),
inference(resolution,[],[f9532,f5846]) ).
fof(f9719,plain,
( ~ l3_lattices(sK21)
| ~ spl406_14 ),
inference(forward_subsumption_resolution,[],[f9717,f5646]) ).
fof(f9720,plain,
( $false
| ~ spl406_14 ),
inference(forward_subsumption_resolution,[],[f9719,f5644]) ).
fof(f9721,plain,
~ spl406_14,
inference(avatar_contradiction_clause,[],[f9720]) ).
fof(f9855,plain,
( k2_filter_2(k1_lattice2(sK21),sK22) = k2_filter_0(k1_lattice2(sK21),sK22)
| ~ spl406_27 ),
inference(resolution,[],[f9619,f9171]) ).
fof(f9858,plain,
( k1_filter_0(sK21) = k2_filter_0(k1_lattice2(sK21),sK22)
| ~ spl406_27 ),
inference(forward_demodulation,[],[f9855,f9197]) ).
fof(f9908,plain,
( ! [X0] :
( k1_filter_0(sK21) != u1_struct_0(k1_lattice2(sK21))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK21)))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| ~ m1_subset_1(sK22,u1_struct_0(k1_lattice2(sK21)))
| v3_struct_0(k1_lattice2(sK21))
| ~ v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(superposition,[],[f5767,f9858]) ).
fof(f9914,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK21)))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| ~ m1_subset_1(sK22,u1_struct_0(k1_lattice2(sK21)))
| v3_struct_0(k1_lattice2(sK21))
| ~ v10_lattices(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(forward_subsumption_resolution,[],[f9908,f9253]) ).
fof(f9918,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK21)))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| ~ m1_subset_1(sK22,u1_struct_0(k1_lattice2(sK21)))
| v3_struct_0(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(forward_subsumption_resolution,[],[f9914,f9478]) ).
fof(f9922,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| ~ m1_subset_1(sK22,u1_struct_0(k1_lattice2(sK21)))
| v3_struct_0(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(forward_demodulation,[],[f9918,f9253]) ).
fof(f9926,plain,
( ! [X0] :
( ~ m1_subset_1(sK22,k1_filter_0(sK21))
| ~ m1_subset_1(X0,k1_filter_0(sK21))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| v3_struct_0(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(forward_demodulation,[],[f9922,f9253]) ).
fof(f9936,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0)
| v3_struct_0(k1_lattice2(sK21))
| ~ l3_lattices(k1_lattice2(sK21)) )
| ~ spl406_27 ),
inference(forward_subsumption_resolution,[],[f9926,f9171]) ).
fof(f9942,definition,
( spl406_66
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0) ) ),
introduced(definition,[new_symbols(definition,[spl406_66])],[avatar_definition]) ).
fof(f9943,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK21))
| sK22 = k4_lattices(k1_lattice2(sK21),sK22,X0) )
| ~ spl406_66 ),
inference(avatar_component_clause,[],[f9942]) ).
fof(f9944,plain,
( ~ spl406_12
| spl406_14
| spl406_66
| ~ spl406_27 ),
inference(avatar_split_clause,[],[f9936,f9618,f9942,f9531,f9525]) ).
fof(f10417,plain,
( sK22 = k4_lattices(k1_lattice2(sK21),sK22,sK23)
| ~ spl406_66 ),
inference(resolution,[],[f9943,f9172]) ).
fof(f10418,plain,
( sK22 = k3_lattices(sK21,sK22,sK23)
| ~ spl406_66 ),
inference(superposition,[],[f10417,f9266]) ).
fof(f10422,plain,
( $false
| ~ spl406_66 ),
inference(forward_subsumption_resolution,[],[f10418,f5650]) ).
fof(f10423,plain,
~ spl406_66,
inference(avatar_contradiction_clause,[],[f10422]) ).
cnf(s24,plain,
( ~ spl406_12
| spl406_14
| spl406_27 ),
inference(sat_conversion,[],[f9620]) ).
cnf(s46,plain,
spl406_12,
inference(sat_conversion,[],[f9715]) ).
cnf(s48,plain,
~ spl406_14,
inference(sat_conversion,[],[f9721]) ).
cnf(s64,plain,
( ~ spl406_12
| spl406_14
| ~ spl406_27
| spl406_66 ),
inference(sat_conversion,[],[f9944]) ).
cnf(s96,plain,
~ spl406_66,
inference(sat_conversion,[],[f10423]) ).
cnf(s99,plain,
( ~ spl406_12
| spl406_14
| ~ spl406_27 ),
inference(rat,[],[s64,s96]) ).
cnf(s119,plain,
~ spl406_27,
inference(rat,[],[s99,s48,s46]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s24,s119,s48,s46]) ).
fof(f10424,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT308+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n014.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 14:27:17 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 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
% 13.30/3.05 % (867212)Detected formulas, will run a generic FOF schedule.
% 13.30/3.05 % (867222)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=504322405:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.30/3.05 % (867223)dis-21_1_sil=8000:lcm=predicate:random_seed=1312364408: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)
% 13.30/3.05 % (867220)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=683511216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.30/3.05 % (867218)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=1653723192:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.30/3.05 % (867219)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=3477748712:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.30/3.05 % (867217)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=177227426:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.30/3.05 % (867221)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3871343196:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.30/3.05 % (867222)Instruction limit reached!
% 13.30/3.05 % (867222)------------------------------
% 13.30/3.05 % (867222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/3.05 % (867222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/3.05 % (867222)CaDiCaL version: 2.1.3
% 13.30/3.05 % (867222)Termination reason: Instruction limit
% 13.30/3.05 % (867222)Termination phase: Property scanning
% 13.30/3.05 % (867222)Time elapsed: 0.050 s
% 13.30/3.05 % (867222)Peak memory usage: 94 MB
% 13.30/3.05 % (867222)Instructions burned: 140 (million)
% 13.30/3.05 % (867220)Refutation not found, incomplete strategy
% 13.30/3.05 % (867220)------------------------------
% 13.30/3.05 % (867220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/3.05 % (867220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/3.05 % (867220)CaDiCaL version: 2.1.3
% 13.30/3.05 % (867220)Termination reason: Refutation not found, incomplete strategy
% 13.30/3.05 % (867220)Time elapsed: 0.020 s
% 13.30/3.05 % (867220)Peak memory usage: 92 MB
% 13.30/3.05 % (867220)Instructions burned: 29 (million)
% 13.30/3.05 % (867223)Instruction limit reached!
% 13.30/3.05 % (867223)------------------------------
% 13.30/3.05 % (867223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/3.05 % (867223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/3.05 % (867223)CaDiCaL version: 2.1.3
% 13.30/3.05 % (867223)Termination reason: Instruction limit
% 13.30/3.05 % (867223)Termination phase: Property scanning
% 13.30/3.05 % (867223)Time elapsed: 0.076 s
% 13.30/3.05 % (867223)Peak memory usage: 92 MB
% 13.30/3.05 % (867223)Instructions burned: 129 (million)
% 13.30/3.05 % (867221)Instruction limit reached!
% 13.30/3.05 % (867221)------------------------------
% 13.30/3.05 % (867221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/3.05 % (867221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/3.05 % (867221)CaDiCaL version: 2.1.3
% 13.30/3.05 % (867221)Termination reason: Instruction limit
% 13.30/3.05 % (867221)Termination phase: Saturation
% 13.30/3.05 % (867221)Time elapsed: 0.077 s
% 13.30/3.05 % (867221)Peak memory usage: 92 MB
% 13.30/3.05 % (867221)Instructions burned: 119 (million)
% 13.30/3.05 % (867231)lrs+10_1_sil=8000:sp=occurrence:random_seed=806739587:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.30/3.05 % (867232)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2483087163:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.30/3.05 % (867233)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2802272040:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.30/3.05 % (867231)Instruction limit reached!
% 13.30/3.05 % (867231)------------------------------
% 13.30/3.05 % (867231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/3.05 % (867231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867231)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867231)Termination reason: Instruction limit
% 14.03/3.18 % (867231)Termination phase: Saturation
% 14.03/3.18 % (867231)Time elapsed: 0.092 s
% 14.03/3.18 % (867231)Peak memory usage: 94 MB
% 14.03/3.18 % (867231)Instructions burned: 285 (million)
% 14.03/3.18 % (867233)Refutation not found, incomplete strategy
% 14.03/3.18 % (867233)------------------------------
% 14.03/3.18 % (867233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867233)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867233)Termination reason: Refutation not found, incomplete strategy
% 14.03/3.18 % (867233)Time elapsed: 0.017 s
% 14.03/3.18 % (867233)Peak memory usage: 92 MB
% 14.03/3.18 % (867233)Instructions burned: 20 (million)
% 14.03/3.18 % (867220)------------------------------
% 14.03/3.18 % (867220)------------------------------
% 14.03/3.18 % (867232)Refutation not found, incomplete strategy
% 14.03/3.18 % (867232)------------------------------
% 14.03/3.18 % (867232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867232)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867232)Termination reason: Refutation not found, incomplete strategy
% 14.03/3.18 % (867232)Time elapsed: 0.035 s
% 14.03/3.18 % (867232)Peak memory usage: 92 MB
% 14.03/3.18 % (867232)Instructions burned: 63 (million)
% 14.03/3.18 % (867237)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=1365213979:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 14.03/3.18 % (867238)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2131963036:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 14.03/3.18 % (867237)Instruction limit reached!
% 14.03/3.18 % (867237)------------------------------
% 14.03/3.18 % (867237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867237)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867237)Termination reason: Instruction limit
% 14.03/3.18 % (867237)Termination phase: Saturation
% 14.03/3.18 % (867237)Time elapsed: 0.079 s
% 14.03/3.18 % (867237)Peak memory usage: 98 MB
% 14.03/3.18 % (867237)Instructions burned: 251 (million)
% 14.03/3.18 % (867233)------------------------------
% 14.03/3.18 % (867233)------------------------------
% 14.03/3.18 % (867232)------------------------------
% 14.03/3.18 % (867232)------------------------------
% 14.03/3.18 % (867241)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2737848315:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 14.03/3.18 % (867238)Instruction limit reached!
% 14.03/3.18 % (867238)------------------------------
% 14.03/3.18 % (867238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867238)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867238)Termination reason: Instruction limit
% 14.03/3.18 % (867238)Termination phase: Saturation
% 14.03/3.18 % (867238)Time elapsed: 0.164 s
% 14.03/3.18 % (867238)Peak memory usage: 94 MB
% 14.03/3.18 % (867238)Instructions burned: 294 (million)
% 14.03/3.18 % (867242)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1258948672:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.03/3.18 % (867243)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3307111400:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.03/3.18 % (867242)Instruction limit reached!
% 14.03/3.18 % (867242)------------------------------
% 14.03/3.18 % (867242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867242)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867242)Termination reason: Instruction limit
% 14.03/3.18 % (867242)Termination phase: Saturation
% 14.03/3.18 % (867242)Time elapsed: 0.065 s
% 14.03/3.18 % (867242)Peak memory usage: 93 MB
% 14.03/3.18 % (867242)Instructions burned: 113 (million)
% 14.03/3.18 % (867245)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2951863750:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 14.03/3.18 % (867243)Instruction limit reached!
% 14.03/3.18 % (867243)------------------------------
% 14.03/3.18 % (867243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867243)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867243)Termination reason: Instruction limit
% 14.03/3.18 % (867243)Termination phase: Property scanning
% 14.03/3.18 % (867243)Time elapsed: 0.079 s
% 14.03/3.18 % (867243)Peak memory usage: 94 MB
% 14.03/3.18 % (867243)Instructions burned: 127 (million)
% 14.03/3.18 % (867245)Instruction limit reached!
% 14.03/3.18 % (867245)------------------------------
% 14.03/3.18 % (867245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867245)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867245)Termination reason: Instruction limit
% 14.03/3.18 % (867245)Termination phase: Property scanning
% 14.03/3.18 % (867245)Time elapsed: 0.059 s
% 14.03/3.18 % (867245)Peak memory usage: 91 MB
% 14.03/3.18 % (867245)Instructions burned: 115 (million)
% 14.03/3.18 % (867248)lrs+10_1_sil=8000:sp=occurrence:random_seed=883462479:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 14.03/3.18 % (867250)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2259766729:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 14.03/3.18 % (867251)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4293688699:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.03/3.18 % (867250)Instruction limit reached!
% 14.03/3.18 % (867250)------------------------------
% 14.03/3.18 % (867250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867250)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867250)Termination reason: Instruction limit
% 14.03/3.18 % (867250)Termination phase: Saturation
% 14.03/3.18 % (867250)Time elapsed: 0.255 s
% 14.03/3.18 % (867250)Peak memory usage: 95 MB
% 14.03/3.18 % (867250)Instructions burned: 439 (million)
% 14.03/3.18 % (867255)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3171622653:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 14.03/3.18 % (867241)Instruction limit reached!
% 14.03/3.18 % (867241)------------------------------
% 14.03/3.18 % (867241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867241)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867241)Termination reason: Instruction limit
% 14.03/3.18 % (867241)Termination phase: Saturation
% 14.03/3.18 % (867241)Time elapsed: 0.816 s
% 14.03/3.18 % (867241)Peak memory usage: 214 MB
% 14.03/3.18 % (867241)Instructions burned: 2352 (million)
% 14.03/3.18 % (867255)Instruction limit reached!
% 14.03/3.18 % (867255)------------------------------
% 14.03/3.18 % (867255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867255)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867255)Termination reason: Instruction limit
% 14.03/3.18 % (867255)Termination phase: Saturation
% 14.03/3.18 % (867255)Time elapsed: 0.081 s
% 14.03/3.18 % (867255)Peak memory usage: 94 MB
% 14.03/3.18 % (867255)Instructions burned: 134 (million)
% 14.03/3.18 % (867218)First to succeed.
% 14.03/3.18 % (867248)Instruction limit reached!
% 14.03/3.18 % (867248)------------------------------
% 14.03/3.18 % (867248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867248)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867248)Termination reason: Instruction limit
% 14.03/3.18 % (867248)Termination phase: Saturation
% 14.03/3.18 % (867248)Time elapsed: 0.588 s
% 14.03/3.18 % (867248)Peak memory usage: 103 MB
% 14.03/3.18 % (867248)Instructions burned: 907 (million)
% 14.03/3.18 % (867218)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-867212"
% 14.03/3.18 % (867257)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2294121325:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 14.03/3.18 % (867258)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2099706681:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 14.03/3.18 % (867259)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=3212898901:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 14.03/3.18 % (867257)Instruction limit reached!
% 14.03/3.18 % (867257)------------------------------
% 14.03/3.18 % (867257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867257)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867257)Termination reason: Instruction limit
% 14.03/3.18 % (867257)Termination phase: Saturation
% 14.03/3.18 % (867257)Time elapsed: 0.161 s
% 14.03/3.18 % (867257)Peak memory usage: 102 MB
% 14.03/3.18 % (867257)Instructions burned: 593 (million)
% 14.03/3.18 % (867259)Instruction limit reached!
% 14.03/3.18 % (867259)------------------------------
% 14.03/3.18 % (867259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.18 % (867259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.18 % (867259)CaDiCaL version: 2.1.3
% 14.03/3.18 % (867259)Termination reason: Instruction limit
% 14.03/3.18 % (867259)Termination phase: Saturation
% 14.03/3.18 % (867259)Time elapsed: 0.069 s
% 14.03/3.18 % (867259)Peak memory usage: 93 MB
% 14.03/3.18 % (867259)Instructions burned: 125 (million)
% 14.03/3.18 % (867218)Refutation found. Thanks to Tanya!
% 14.03/3.18 % SZS status Theorem for theBenchmark
% 14.03/3.18 % SZS output start Proof for theBenchmark
% See solution above
% 14.37/3.28 % (867218)------------------------------
% 14.37/3.28 % (867218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.28 % (867218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.28 % (867218)CaDiCaL version: 2.1.3
% 14.37/3.28 % (867218)Termination reason: Refutation
% 14.37/3.28 % (867218)Time elapsed: 1.470 s
% 14.37/3.28 % (867218)Peak memory usage: 162 MB
% 14.37/3.28 % (867218)Instructions burned: 2373 (million)
% 14.37/3.28 % (867218)------------------------------
% 14.37/3.28 % (867218)------------------------------
% 14.37/3.28 % (867212)Success in time 2.035 s
% 14.37/3.28 % Vampire exiting
%------------------------------------------------------------------------------