%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT333+3 : 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 : n007.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 11:47:03 AM UTC 2026
% Result : Theorem 11.95s 4.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 236 ( 33 unt; 16 def)
% Number of atoms : 947 ( 47 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1149 ( 438 ~; 518 |; 131 &)
% ( 28 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 162 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8645,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v14_lattices(X0)
=> v14_lattices(k8_filter_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9438,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(f9439,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f9463,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(f10310,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_nat_lat(X1,X0)
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(f12317,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(f13529,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f13531,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(f13532,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(f13552,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> k10_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_filter_2) ).
fof(f13572,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f13574,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_nat_lat(X1,X0) )
=> k24_filter_2(X0,X1) = k1_lattice2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k24_filter_2) ).
fof(f13600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f13601,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(f13667,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f13668,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> k8_filter_0(X0,X1) = k23_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_filter_2) ).
fof(f13669,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> k23_filter_2(X0,X1) = k24_filter_2(k1_lattice2(X0),k23_filter_2(k1_lattice2(X0),k10_filter_2(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_filter_2) ).
fof(f13674,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> v13_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_filter_2) ).
fof(f13675,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> v13_lattices(k23_filter_2(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f13674]) ).
fof(f13701,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13529]) ).
fof(f13702,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13701]) ).
fof(f13705,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,[],[f13531]) ).
fof(f13706,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,[],[f13705]) ).
fof(f13707,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,[],[f13532]) ).
fof(f13708,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,[],[f13707]) ).
fof(f13747,plain,
! [X0,X1] :
( k10_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f13552]) ).
fof(f13748,plain,
! [X0,X1] :
( k10_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f13747]) ).
fof(f13787,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f13572]) ).
fof(f13788,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f13787]) ).
fof(f13791,plain,
! [X0,X1] :
( k24_filter_2(X0,X1) = k1_lattice2(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_nat_lat(X1,X0) ),
inference(ennf_transformation,[],[f13574]) ).
fof(f13792,plain,
! [X0,X1] :
( k24_filter_2(X0,X1) = k1_lattice2(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_nat_lat(X1,X0) ),
inference(flattening,[],[f13791]) ).
fof(f13840,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13600]) ).
fof(f13841,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13840]) ).
fof(f13842,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,[],[f13601]) ).
fof(f13843,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,[],[f13842]) ).
fof(f13974,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f13667]) ).
fof(f13975,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f13974]) ).
fof(f13976,plain,
! [X0] :
( ! [X1] :
( k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13668]) ).
fof(f13977,plain,
! [X0] :
( ! [X1] :
( k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13976]) ).
fof(f13978,plain,
! [X0] :
( ! [X1] :
( k23_filter_2(X0,X1) = k24_filter_2(k1_lattice2(X0),k23_filter_2(k1_lattice2(X0),k10_filter_2(X0,X1)))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13669]) ).
fof(f13979,plain,
! [X0] :
( ! [X1] :
( k23_filter_2(X0,X1) = k24_filter_2(k1_lattice2(X0),k23_filter_2(k1_lattice2(X0),k10_filter_2(X0,X1)))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13978]) ).
fof(f13988,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(k23_filter_2(X0,X1))
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13675]) ).
fof(f13989,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(k23_filter_2(X0,X1))
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13988]) ).
fof(f14000,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,[],[f12317]) ).
fof(f14001,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,[],[f14000]) ).
fof(f14108,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9439]) ).
fof(f14109,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14108]) ).
fof(f14110,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9438]) ).
fof(f14111,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14110]) ).
fof(f14123,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
| ~ m2_nat_lat(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10310]) ).
fof(f14124,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
| ~ m2_nat_lat(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14123]) ).
fof(f14131,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14134,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9363]) ).
fof(f14135,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,[],[f14134]) ).
fof(f14136,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14137,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14136]) ).
fof(f14555,plain,
! [X0] :
( ! [X1] :
( v14_lattices(k8_filter_0(X0,X1))
| ~ v14_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8645]) ).
fof(f14556,plain,
! [X0] :
( ! [X1] :
( v14_lattices(k8_filter_0(X0,X1))
| ~ v14_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14555]) ).
fof(f16050,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,[],[f13706]) ).
fof(f16070,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13841]) ).
fof(f16118,plain,
( ~ v13_lattices(k23_filter_2(sK37,sK38))
& v13_lattices(sK37)
& m2_filter_2(sK38,sK37)
& ~ v3_struct_0(sK37)
& v10_lattices(sK37)
& l3_lattices(sK37) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X0,sK37),skolemize(X1,sK38)],[f13989]) ).
fof(f16152,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f14109]) ).
fof(f16153,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,[],[f14111]) ).
fof(f16911,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f13702]) ).
fof(f16914,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16050]) ).
fof(f16916,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f13708]) ).
fof(f16917,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13708]) ).
fof(f16939,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| k7_filter_2(X0,X1) = k10_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f13748]) ).
fof(f16961,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f13788]) ).
fof(f16964,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k1_lattice2(X1) = k24_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f13792]) ).
fof(f17027,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_filter_2(X1,k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f16070]) ).
fof(f17029,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13843]) ).
fof(f17229,plain,
! [X0,X1] :
( v10_lattices(k23_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f13975]) ).
fof(f17237,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ v3_struct_0(k23_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f13975]) ).
fof(f17238,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| k8_filter_0(X0,X1) = k23_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13977]) ).
fof(f17239,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| k23_filter_2(X0,X1) = k24_filter_2(k1_lattice2(X0),k23_filter_2(k1_lattice2(X0),k10_filter_2(X0,X1)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13979]) ).
fof(f17249,plain,
l3_lattices(sK37),
inference(cnf_transformation,[],[f16118]) ).
fof(f17250,plain,
v10_lattices(sK37),
inference(cnf_transformation,[],[f16118]) ).
fof(f17251,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f16118]) ).
fof(f17252,plain,
m2_filter_2(sK38,sK37),
inference(cnf_transformation,[],[f16118]) ).
fof(f17253,plain,
v13_lattices(sK37),
inference(cnf_transformation,[],[f16118]) ).
fof(f17254,plain,
~ v13_lattices(k23_filter_2(sK37,sK38)),
inference(cnf_transformation,[],[f16118]) ).
fof(f17273,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14001]) ).
fof(f17374,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16152]) ).
fof(f17376,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f16153]) ).
fof(f17387,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_nat_lat(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f14124]) ).
fof(f17405,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14131]) ).
fof(f17408,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14135]) ).
fof(f17418,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14137]) ).
fof(f18107,plain,
! [X0,X1] :
( ~ v14_lattices(X0)
| v14_lattices(k8_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14556]) ).
fof(f21885,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| m1_filter_2(X0,k1_lattice2(sK37)) ),
inference(resolution,[],[f17027,f17249]) ).
fof(f21886,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| ~ v10_lattices(sK37)
| m1_filter_2(X0,k1_lattice2(sK37)) ),
inference(forward_subsumption_resolution,[],[f21885,f17251]) ).
fof(f21887,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| m1_filter_2(X0,k1_lattice2(sK37)) ),
inference(forward_subsumption_resolution,[],[f21886,f17250]) ).
fof(f21888,plain,
m1_filter_2(sK38,k1_lattice2(sK37)),
inference(resolution,[],[f21887,f17252]) ).
fof(f21889,plain,
( k8_filter_0(k1_lattice2(sK37),sK38) = k23_filter_2(k1_lattice2(sK37),sK38)
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) ),
inference(resolution,[],[f21888,f17238]) ).
fof(f21890,plain,
( m1_filter_0(sK38,k1_lattice2(sK37))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37)) ),
inference(resolution,[],[f21888,f16914]) ).
fof(f21892,definition,
( spl527_13
<=> l3_lattices(k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_13])],[avatar_definition]) ).
fof(f21893,plain,
( ~ l3_lattices(k1_lattice2(sK37))
| spl527_13 ),
inference(avatar_component_clause,[],[f21892]) ).
fof(f21895,definition,
( spl527_14
<=> v10_lattices(k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_14])],[avatar_definition]) ).
fof(f21896,plain,
( ~ v10_lattices(k1_lattice2(sK37))
| spl527_14 ),
inference(avatar_component_clause,[],[f21895]) ).
fof(f21898,definition,
( spl527_15
<=> v3_struct_0(k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_15])],[avatar_definition]) ).
fof(f21899,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ spl527_15 ),
inference(avatar_component_clause,[],[f21898]) ).
fof(f21901,definition,
( spl527_16
<=> m1_filter_0(sK38,k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_16])],[avatar_definition]) ).
fof(f21902,plain,
( m1_filter_0(sK38,k1_lattice2(sK37))
| ~ spl527_16 ),
inference(avatar_component_clause,[],[f21901]) ).
fof(f21903,plain,
( ~ spl527_13
| ~ spl527_14
| spl527_15
| spl527_16 ),
inference(avatar_split_clause,[],[f21890,f21901,f21898,f21895,f21892]) ).
fof(f21905,definition,
( spl527_17
<=> k8_filter_0(k1_lattice2(sK37),sK38) = k23_filter_2(k1_lattice2(sK37),sK38) ),
introduced(definition,[new_symbols(definition,[spl527_17])],[avatar_definition]) ).
fof(f21906,plain,
( k8_filter_0(k1_lattice2(sK37),sK38) = k23_filter_2(k1_lattice2(sK37),sK38)
| ~ spl527_17 ),
inference(avatar_component_clause,[],[f21905]) ).
fof(f21907,plain,
( ~ spl527_13
| ~ spl527_14
| spl527_15
| spl527_17 ),
inference(avatar_split_clause,[],[f21889,f21905,f21898,f21895,f21892]) ).
fof(f21911,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| m2_lattice4(X0,sK37) ),
inference(resolution,[],[f16916,f17249]) ).
fof(f21912,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| ~ v10_lattices(sK37)
| m2_lattice4(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f21911,f17251]) ).
fof(f21913,plain,
! [X0] :
( ~ m2_filter_2(X0,sK37)
| m2_lattice4(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f21912,f17250]) ).
fof(f21914,plain,
m2_lattice4(sK38,sK37),
inference(resolution,[],[f21913,f17252]) ).
fof(f21916,plain,
l3_lattices(k1_lattice2(sK37)),
inference(resolution,[],[f17405,f17249]) ).
fof(f21917,plain,
( $false
| spl527_13 ),
inference(forward_subsumption_resolution,[],[f21916,f21893]) ).
fof(f21918,plain,
spl527_13,
inference(avatar_contradiction_clause,[],[f21917]) ).
fof(f21931,definition,
( spl527_19
<=> v1_xboole_0(sK38) ),
introduced(definition,[new_symbols(definition,[spl527_19])],[avatar_definition]) ).
fof(f21932,plain,
( v1_xboole_0(sK38)
| ~ spl527_19 ),
inference(avatar_component_clause,[],[f21931]) ).
fof(f21943,plain,
( v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37)
| spl527_14 ),
inference(resolution,[],[f17408,f21896]) ).
fof(f21945,plain,
( ~ v10_lattices(sK37)
| ~ l3_lattices(sK37)
| spl527_14 ),
inference(forward_subsumption_resolution,[],[f21943,f17251]) ).
fof(f21946,plain,
( ~ l3_lattices(sK37)
| spl527_14 ),
inference(forward_subsumption_resolution,[],[f21945,f17250]) ).
fof(f21947,plain,
( $false
| spl527_14 ),
inference(forward_subsumption_resolution,[],[f21946,f17249]) ).
fof(f21948,plain,
spl527_14,
inference(avatar_contradiction_clause,[],[f21947]) ).
fof(f21950,plain,
( v3_struct_0(sK37)
| ~ l3_lattices(sK37)
| ~ spl527_15 ),
inference(resolution,[],[f17418,f21899]) ).
fof(f21952,plain,
( ~ l3_lattices(sK37)
| ~ spl527_15 ),
inference(forward_subsumption_resolution,[],[f21950,f17251]) ).
fof(f21953,plain,
( $false
| ~ spl527_15 ),
inference(forward_subsumption_resolution,[],[f21952,f17249]) ).
fof(f21954,plain,
~ spl527_15,
inference(avatar_contradiction_clause,[],[f21953]) ).
fof(f21968,plain,
( m2_nat_lat(k8_filter_0(k1_lattice2(sK37),sK38),k1_lattice2(sK37))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ m2_lattice4(sK38,k1_lattice2(sK37))
| ~ spl527_17 ),
inference(superposition,[],[f16961,f21906]) ).
fof(f21969,plain,
( v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ m2_lattice4(sK38,k1_lattice2(sK37))
| ~ spl527_17 ),
inference(superposition,[],[f17229,f21906]) ).
fof(f21971,plain,
( $false
| ~ spl527_19 ),
inference(unit_resulting_resolution,[],[f16917,f17249,f17250,f17251,f17252,f21932]) ).
fof(f21973,plain,
~ spl527_19,
inference(avatar_contradiction_clause,[],[f21971]) ).
fof(f21974,plain,
( v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ m2_lattice4(sK38,k1_lattice2(sK37))
| ~ spl527_17 ),
inference(forward_subsumption_resolution,[],[f21969,f21916]) ).
fof(f21975,plain,
( m2_nat_lat(k8_filter_0(k1_lattice2(sK37),sK38),k1_lattice2(sK37))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ m2_lattice4(sK38,k1_lattice2(sK37))
| ~ spl527_17 ),
inference(forward_subsumption_resolution,[],[f21968,f21916]) ).
fof(f21978,definition,
( spl527_24
<=> m2_lattice4(sK38,k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_24])],[avatar_definition]) ).
fof(f21979,plain,
( ~ m2_lattice4(sK38,k1_lattice2(sK37))
| spl527_24 ),
inference(avatar_component_clause,[],[f21978]) ).
fof(f21981,definition,
( spl527_25
<=> v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38)) ),
introduced(definition,[new_symbols(definition,[spl527_25])],[avatar_definition]) ).
fof(f21982,plain,
( v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_25 ),
inference(avatar_component_clause,[],[f21981]) ).
fof(f21983,plain,
( ~ spl527_24
| spl527_19
| ~ spl527_14
| spl527_15
| spl527_25
| ~ spl527_17 ),
inference(avatar_split_clause,[],[f21974,f21905,f21981,f21898,f21895,f21931,f21978]) ).
fof(f21985,definition,
( spl527_26
<=> m2_nat_lat(k8_filter_0(k1_lattice2(sK37),sK38),k1_lattice2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl527_26])],[avatar_definition]) ).
fof(f21986,plain,
( m2_nat_lat(k8_filter_0(k1_lattice2(sK37),sK38),k1_lattice2(sK37))
| ~ spl527_26 ),
inference(avatar_component_clause,[],[f21985]) ).
fof(f21987,plain,
( ~ spl527_24
| spl527_19
| ~ spl527_14
| spl527_15
| spl527_26
| ~ spl527_17 ),
inference(avatar_split_clause,[],[f21975,f21905,f21985,f21898,f21895,f21931,f21978]) ).
fof(f22058,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK37))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| m2_lattice4(X0,k1_lattice2(sK37)) ),
inference(resolution,[],[f16911,f21916]) ).
fof(f22060,definition,
( spl527_40
<=> ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK37))
| m2_lattice4(X0,k1_lattice2(sK37)) ) ),
introduced(definition,[new_symbols(definition,[spl527_40])],[avatar_definition]) ).
fof(f22061,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK37))
| m2_lattice4(X0,k1_lattice2(sK37)) )
| ~ spl527_40 ),
inference(avatar_component_clause,[],[f22060]) ).
fof(f22062,plain,
( ~ spl527_14
| spl527_15
| spl527_40 ),
inference(avatar_split_clause,[],[f22058,f22060,f21898,f21895]) ).
fof(f22126,plain,
( m1_subset_1(sK38,k1_zfmisc_1(u1_struct_0(sK37)))
| v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f17273,f21914]) ).
fof(f22127,plain,
( m1_subset_1(sK38,k1_zfmisc_1(u1_struct_0(sK37)))
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22126,f17251]) ).
fof(f22128,plain,
( m1_subset_1(sK38,k1_zfmisc_1(u1_struct_0(sK37)))
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22127,f17250]) ).
fof(f22129,plain,
m1_subset_1(sK38,k1_zfmisc_1(u1_struct_0(sK37))),
inference(forward_subsumption_resolution,[],[f22128,f17249]) ).
fof(f22130,plain,
( sK38 = k7_filter_2(sK37,sK38)
| v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f22129,f17029]) ).
fof(f22131,plain,
( sK38 = k7_filter_2(sK37,sK38)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22130,f17251]) ).
fof(f22132,plain,
( sK38 = k7_filter_2(sK37,sK38)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22131,f17250]) ).
fof(f22133,plain,
sK38 = k7_filter_2(sK37,sK38),
inference(forward_subsumption_resolution,[],[f22132,f17249]) ).
fof(f22167,plain,
( v1_xboole_0(sK38)
| k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38)))
| v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(resolution,[],[f17239,f21914]) ).
fof(f22168,plain,
( v1_xboole_0(sK38)
| k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38)))
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22167,f17251]) ).
fof(f22169,plain,
( v1_xboole_0(sK38)
| k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38)))
| ~ l3_lattices(sK37) ),
inference(forward_subsumption_resolution,[],[f22168,f17250]) ).
fof(f22170,plain,
( v1_xboole_0(sK38)
| k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38))) ),
inference(forward_subsumption_resolution,[],[f22169,f17249]) ).
fof(f22172,definition,
( spl527_50
<=> k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38))) ),
introduced(definition,[new_symbols(definition,[spl527_50])],[avatar_definition]) ).
fof(f22173,plain,
( k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),k10_filter_2(sK37,sK38)))
| ~ spl527_50 ),
inference(avatar_component_clause,[],[f22172]) ).
fof(f22174,plain,
( spl527_50
| spl527_19 ),
inference(avatar_split_clause,[],[f22170,f21931,f22172]) ).
fof(f23301,plain,
( v3_struct_0(sK37)
| ~ v10_lattices(sK37)
| ~ l3_lattices(sK37)
| v1_xboole_0(sK38)
| k7_filter_2(sK37,sK38) = k10_filter_2(sK37,sK38) ),
inference(resolution,[],[f16939,f21914]) ).
fof(f23306,plain,
( ~ v10_lattices(sK37)
| ~ l3_lattices(sK37)
| v1_xboole_0(sK38)
| k7_filter_2(sK37,sK38) = k10_filter_2(sK37,sK38) ),
inference(forward_subsumption_resolution,[],[f23301,f17251]) ).
fof(f23309,plain,
( ~ l3_lattices(sK37)
| v1_xboole_0(sK38)
| k7_filter_2(sK37,sK38) = k10_filter_2(sK37,sK38) ),
inference(forward_subsumption_resolution,[],[f23306,f17250]) ).
fof(f23312,plain,
( v1_xboole_0(sK38)
| k7_filter_2(sK37,sK38) = k10_filter_2(sK37,sK38) ),
inference(forward_subsumption_resolution,[],[f23309,f17249]) ).
fof(f23315,plain,
( sK38 = k10_filter_2(sK37,sK38)
| v1_xboole_0(sK38) ),
inference(forward_demodulation,[],[f23312,f22133]) ).
fof(f23325,definition,
( spl527_186
<=> sK38 = k10_filter_2(sK37,sK38) ),
introduced(definition,[new_symbols(definition,[spl527_186])],[avatar_definition]) ).
fof(f23326,plain,
( sK38 = k10_filter_2(sK37,sK38)
| ~ spl527_186 ),
inference(avatar_component_clause,[],[f23325]) ).
fof(f23327,plain,
( spl527_19
| spl527_186 ),
inference(avatar_split_clause,[],[f23315,f23325,f21931]) ).
fof(f23328,plain,
( k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k23_filter_2(k1_lattice2(sK37),sK38))
| ~ spl527_50
| ~ spl527_186 ),
inference(superposition,[],[f22173,f23326]) ).
fof(f23329,plain,
( k23_filter_2(sK37,sK38) = k24_filter_2(k1_lattice2(sK37),k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_17
| ~ spl527_50
| ~ spl527_186 ),
inference(forward_demodulation,[],[f23328,f21906]) ).
fof(f23347,plain,
( m2_lattice4(sK38,k1_lattice2(sK37))
| ~ spl527_40 ),
inference(resolution,[],[f22061,f21888]) ).
fof(f23357,plain,
( $false
| spl527_24
| ~ spl527_40 ),
inference(forward_subsumption_resolution,[],[f23347,f21979]) ).
fof(f23358,plain,
( spl527_24
| ~ spl527_40 ),
inference(avatar_contradiction_clause,[],[f23357]) ).
fof(f23398,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ v3_struct_0(k23_filter_2(k1_lattice2(sK37),sK38))
| ~ spl527_40 ),
inference(resolution,[],[f23347,f17237]) ).
fof(f23411,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ v3_struct_0(k23_filter_2(k1_lattice2(sK37),sK38))
| ~ spl527_40 ),
inference(forward_subsumption_resolution,[],[f23398,f21916]) ).
fof(f23421,plain,
( ~ v3_struct_0(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| v1_xboole_0(sK38)
| ~ spl527_17
| ~ spl527_40 ),
inference(forward_demodulation,[],[f23411,f21906]) ).
fof(f23437,definition,
( spl527_192
<=> v3_struct_0(k8_filter_0(k1_lattice2(sK37),sK38)) ),
introduced(definition,[new_symbols(definition,[spl527_192])],[avatar_definition]) ).
fof(f23438,plain,
( ~ v3_struct_0(k8_filter_0(k1_lattice2(sK37),sK38))
| spl527_192 ),
inference(avatar_component_clause,[],[f23437]) ).
fof(f23439,plain,
( spl527_19
| ~ spl527_14
| spl527_15
| ~ spl527_192
| ~ spl527_17
| ~ spl527_40 ),
inference(avatar_split_clause,[],[f23421,f22060,f21905,f23437,f21898,f21895,f21931]) ).
fof(f23477,definition,
( spl527_199
<=> l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38)) ),
introduced(definition,[new_symbols(definition,[spl527_199])],[avatar_definition]) ).
fof(f23478,plain,
( ~ l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| spl527_199 ),
inference(avatar_component_clause,[],[f23477]) ).
fof(f25471,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ l3_lattices(k1_lattice2(sK37))
| k24_filter_2(k1_lattice2(sK37),k8_filter_0(k1_lattice2(sK37),sK38)) = k1_lattice2(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_26 ),
inference(resolution,[],[f21986,f16964]) ).
fof(f25475,plain,
( v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| k24_filter_2(k1_lattice2(sK37),k8_filter_0(k1_lattice2(sK37),sK38)) = k1_lattice2(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_26 ),
inference(forward_subsumption_resolution,[],[f25471,f21916]) ).
fof(f25477,plain,
( k23_filter_2(sK37,sK38) = k1_lattice2(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k1_lattice2(sK37))
| ~ v10_lattices(k1_lattice2(sK37))
| ~ spl527_17
| ~ spl527_26
| ~ spl527_50
| ~ spl527_186 ),
inference(forward_demodulation,[],[f25475,f23329]) ).
fof(f25480,definition,
( spl527_381
<=> k23_filter_2(sK37,sK38) = k1_lattice2(k8_filter_0(k1_lattice2(sK37),sK38)) ),
introduced(definition,[new_symbols(definition,[spl527_381])],[avatar_definition]) ).
fof(f25481,plain,
( k23_filter_2(sK37,sK38) = k1_lattice2(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_381 ),
inference(avatar_component_clause,[],[f25480]) ).
fof(f25482,plain,
( ~ spl527_14
| spl527_15
| spl527_381
| ~ spl527_17
| ~ spl527_26
| ~ spl527_50
| ~ spl527_186 ),
inference(avatar_split_clause,[],[f25477,f23325,f22172,f21985,f21905,f25480,f21898,f21895]) ).
fof(f25487,plain,
( v13_lattices(k23_filter_2(sK37,sK38))
| ~ v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_381 ),
inference(superposition,[],[f17374,f25481]) ).
fof(f26514,plain,
! [X0,X1] :
( v14_lattices(k8_filter_0(k1_lattice2(X0),X1))
| ~ m1_filter_0(X1,k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f18107,f17376]) ).
fof(f26517,plain,
! [X0,X1] :
( v14_lattices(k8_filter_0(k1_lattice2(X0),X1))
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f26514,f17418]) ).
fof(f26522,plain,
! [X0,X1] :
( v14_lattices(k8_filter_0(k1_lattice2(X0),X1))
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f26517,f17408]) ).
fof(f26523,plain,
! [X0,X1] :
( ~ v13_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| v14_lattices(k8_filter_0(k1_lattice2(X0),X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f26522,f17405]) ).
fof(f26729,plain,
( ~ v3_struct_0(k1_lattice2(sK37))
| spl527_15 ),
inference(avatar_component_clause,[],[f21898]) ).
fof(f26751,plain,
( v10_lattices(k1_lattice2(sK37))
| ~ spl527_14 ),
inference(avatar_component_clause,[],[f21895]) ).
fof(f26863,plain,
( $false
| ~ spl527_14
| spl527_15
| ~ spl527_26
| spl527_199 ),
inference(unit_resulting_resolution,[],[f17387,f21916,f26751,f23478,f21986,f26729]) ).
fof(f26864,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_26
| spl527_199 ),
inference(avatar_contradiction_clause,[],[f26863]) ).
fof(f26891,plain,
( ~ v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| v3_struct_0(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_381 ),
inference(forward_subsumption_resolution,[],[f25487,f17254]) ).
fof(f26950,plain,
( ~ v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ v10_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| spl527_192
| ~ spl527_381 ),
inference(forward_subsumption_resolution,[],[f26891,f23438]) ).
fof(f27022,plain,
( ~ v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ l3_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| ~ spl527_25
| spl527_192
| ~ spl527_381 ),
inference(forward_subsumption_resolution,[],[f26950,f21982]) ).
fof(f27058,definition,
( spl527_523
<=> v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38)) ),
introduced(definition,[new_symbols(definition,[spl527_523])],[avatar_definition]) ).
fof(f27059,plain,
( ~ v14_lattices(k8_filter_0(k1_lattice2(sK37),sK38))
| spl527_523 ),
inference(avatar_component_clause,[],[f27058]) ).
fof(f27060,plain,
( ~ spl527_199
| ~ spl527_523
| ~ spl527_25
| spl527_192
| ~ spl527_381 ),
inference(avatar_split_clause,[],[f27022,f25480,f23437,f21981,f27058,f23477]) ).
fof(f27165,plain,
( $false
| ~ spl527_16
| spl527_523 ),
inference(unit_resulting_resolution,[],[f26523,f17249,f17250,f17251,f17253,f21902,f27059]) ).
fof(f27167,plain,
( ~ spl527_16
| spl527_523 ),
inference(avatar_contradiction_clause,[],[f27165]) ).
cnf(s9,plain,
( ~ spl527_13
| ~ spl527_14
| spl527_15
| spl527_16 ),
inference(sat_conversion,[],[f21903]) ).
cnf(s10,plain,
( ~ spl527_13
| ~ spl527_14
| spl527_15
| spl527_17 ),
inference(sat_conversion,[],[f21907]) ).
cnf(s11,plain,
spl527_13,
inference(sat_conversion,[],[f21918]) ).
cnf(s15,plain,
spl527_14,
inference(sat_conversion,[],[f21948]) ).
cnf(s17,plain,
~ spl527_15,
inference(sat_conversion,[],[f21954]) ).
cnf(s21,plain,
~ spl527_19,
inference(sat_conversion,[],[f21973]) ).
cnf(s22,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_17
| spl527_19
| ~ spl527_24
| spl527_25 ),
inference(sat_conversion,[],[f21983]) ).
cnf(s23,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_17
| spl527_19
| ~ spl527_24
| spl527_26 ),
inference(sat_conversion,[],[f21987]) ).
cnf(s31,plain,
( ~ spl527_14
| spl527_15
| spl527_40 ),
inference(sat_conversion,[],[f22062]) ).
cnf(s41,plain,
( spl527_19
| spl527_50 ),
inference(sat_conversion,[],[f22174]) ).
cnf(s177,plain,
( spl527_19
| spl527_186 ),
inference(sat_conversion,[],[f23327]) ).
cnf(s183,plain,
( spl527_24
| ~ spl527_40 ),
inference(sat_conversion,[],[f23358]) ).
cnf(s192,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_17
| spl527_19
| ~ spl527_40
| ~ spl527_192 ),
inference(sat_conversion,[],[f23439]) ).
cnf(s389,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_17
| ~ spl527_26
| ~ spl527_50
| ~ spl527_186
| spl527_381 ),
inference(sat_conversion,[],[f25482]) ).
cnf(s498,plain,
( ~ spl527_14
| spl527_15
| ~ spl527_26
| spl527_199 ),
inference(sat_conversion,[],[f26864]) ).
cnf(s528,plain,
( ~ spl527_25
| spl527_192
| ~ spl527_199
| ~ spl527_381
| ~ spl527_523 ),
inference(sat_conversion,[],[f27060]) ).
cnf(s536,plain,
( ~ spl527_16
| spl527_523 ),
inference(sat_conversion,[],[f27167]) ).
cnf(s638,plain,
spl527_186,
inference(rat,[],[s177,s21]) ).
cnf(s643,plain,
spl527_50,
inference(rat,[],[s41,s21]) ).
cnf(s790,plain,
spl527_40,
inference(rat,[],[s31,s17,s15]) ).
cnf(s832,plain,
spl527_24,
inference(rat,[],[s183,s790]) ).
cnf(s887,plain,
spl527_17,
inference(rat,[],[s10,s17,s15,s11]) ).
cnf(s892,plain,
~ spl527_192,
inference(rat,[],[s192,s790,s15,s21,s17,s887]) ).
cnf(s896,plain,
spl527_26,
inference(rat,[],[s23,s832,s15,s21,s17,s887]) ).
cnf(s897,plain,
spl527_25,
inference(rat,[],[s22,s832,s15,s21,s17,s887]) ).
cnf(s898,plain,
spl527_199,
inference(rat,[],[s498,s15,s17,s896]) ).
cnf(s900,plain,
spl527_381,
inference(rat,[],[s389,s887,s638,s643,s15,s17,s896]) ).
cnf(s904,plain,
~ spl527_523,
inference(rat,[],[s528,s897,s900,s892,s898]) ).
cnf(s936,plain,
~ spl527_16,
inference(rat,[],[s536,s904]) ).
cnf(s938,plain,
$false,
inference(rat,[],[s9,s936,s17,s15,s11]) ).
fof(f27169,plain,
$false,
inference(avatar_sat_refutation,[],[s938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT333+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 14:41:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 15.69/3.74 % (1494715)Detected formulas, will run a generic FOF schedule.
% 15.69/3.74 % (1494723)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=1608682633:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 15.69/3.74 % (1494722)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=4255829510:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 15.69/3.74 % (1494721)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=3904948921:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 15.69/3.74 % (1494724)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2362824742:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 15.69/3.74 % (1494725)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=241157202:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 15.69/3.74 % (1494727)dis-21_1_sil=8000:lcm=predicate:random_seed=1967128000:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 15.69/3.74 % (1494726)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2754863605:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 15.69/3.74 % (1494724)Refutation not found, incomplete strategy
% 15.69/3.74 % (1494724)------------------------------
% 15.69/3.74 % (1494724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.74 % (1494724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.74 % (1494724)CaDiCaL version: 2.1.3
% 15.69/3.74 % (1494724)Termination reason: Refutation not found, incomplete strategy
% 15.69/3.74 % (1494724)Time elapsed: 0.062 s
% 15.69/3.74 % (1494724)Peak memory usage: 107 MB
% 15.69/3.74 % (1494724)Instructions burned: 80 (million)
% 15.69/3.74 % (1494725)Instruction limit reached!
% 15.69/3.74 % (1494725)------------------------------
% 15.69/3.74 % (1494725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.74 % (1494725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.74 % (1494725)CaDiCaL version: 2.1.3
% 15.69/3.74 % (1494725)Termination reason: Instruction limit
% 15.69/3.74 % (1494725)Termination phase: Function definition elimination
% 15.69/3.74 % (1494725)Time elapsed: 0.087 s
% 15.69/3.74 % (1494725)Peak memory usage: 105 MB
% 15.69/3.74 % (1494725)Instructions burned: 120 (million)
% 15.69/3.74 % (1494726)Instruction limit reached!
% 15.69/3.74 % (1494726)------------------------------
% 15.69/3.74 % (1494726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.74 % (1494726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.74 % (1494726)CaDiCaL version: 2.1.3
% 15.69/3.74 % (1494726)Termination reason: Instruction limit
% 15.69/3.74 % (1494726)Termination phase: Property scanning
% 15.69/3.74 % (1494726)Time elapsed: 0.088 s
% 15.69/3.74 % (1494726)Peak memory usage: 102 MB
% 15.69/3.74 % (1494726)Instructions burned: 140 (million)
% 15.69/3.74 % (1494727)Instruction limit reached!
% 15.69/3.74 % (1494727)------------------------------
% 15.69/3.74 % (1494727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.74 % (1494727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.74 % (1494727)CaDiCaL version: 2.1.3
% 15.69/3.74 % (1494727)Termination reason: Instruction limit
% 15.69/3.74 % (1494727)Termination phase: Preprocessing 1
% 15.69/3.74 % (1494727)Time elapsed: 0.093 s
% 15.69/3.74 % (1494727)Peak memory usage: 103 MB
% 15.69/3.74 % (1494727)Instructions burned: 129 (million)
% 15.69/3.74 % (1494736)lrs+10_1_sil=32000:urr=on:br=off:random_seed=455116939:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 15.69/3.74 % (1494737)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3354975334:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 15.69/3.74 % (1494735)lrs+10_1_sil=8000:sp=occurrence:random_seed=90608813:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 15.69/3.74 % (1494724)------------------------------
% 15.69/3.74 % (1494724)------------------------------
% 15.69/3.74 % (1494737)Refutation not found, incomplete strategy
% 15.69/3.74 % (1494737)------------------------------
% 15.69/3.74 % (1494737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494737)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494737)Termination reason: Refutation not found, incomplete strategy
% 11.95/4.30 % (1494737)Time elapsed: 0.067 s
% 11.95/4.30 % (1494737)Peak memory usage: 107 MB
% 11.95/4.30 % (1494737)Instructions burned: 77 (million)
% 11.95/4.30 % (1494736)Instruction limit reached!
% 11.95/4.30 % (1494736)------------------------------
% 11.95/4.30 % (1494736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494736)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494736)Termination reason: Instruction limit
% 11.95/4.30 % (1494736)Termination phase: Property scanning
% 11.95/4.30 % (1494736)Time elapsed: 0.068 s
% 11.95/4.30 % (1494736)Peak memory usage: 102 MB
% 11.95/4.30 % (1494736)Instructions burned: 159 (million)
% 11.95/4.30 % (1494735)Instruction limit reached!
% 11.95/4.30 % (1494735)------------------------------
% 11.95/4.30 % (1494735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494735)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494735)Termination reason: Instruction limit
% 11.95/4.30 % (1494735)Termination phase: Saturation
% 11.95/4.30 % (1494735)Time elapsed: 0.200 s
% 11.95/4.30 % (1494735)Peak memory usage: 110 MB
% 11.95/4.30 % (1494735)Instructions burned: 285 (million)
% 11.95/4.30 % (1494741)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=2819263079:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 11.95/4.30 % (1494742)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1414303163:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 11.95/4.30 % (1494737)------------------------------
% 11.95/4.30 % (1494737)------------------------------
% 11.95/4.30 % (1494741)Instruction limit reached!
% 11.95/4.30 % (1494741)------------------------------
% 11.95/4.30 % (1494741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494741)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494741)Termination reason: Instruction limit
% 11.95/4.30 % (1494741)Termination phase: SInE selection
% 11.95/4.30 % (1494741)Time elapsed: 0.125 s
% 11.95/4.30 % (1494741)Peak memory usage: 103 MB
% 11.95/4.30 % (1494741)Instructions burned: 248 (million)
% 11.95/4.30 % (1494743)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2692288124:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 11.95/4.30 % (1494742)Instruction limit reached!
% 11.95/4.30 % (1494742)------------------------------
% 11.95/4.30 % (1494742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494742)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494742)Termination reason: Instruction limit
% 11.95/4.30 % (1494742)Termination phase: Saturation
% 11.95/4.30 % (1494742)Time elapsed: 0.190 s
% 11.95/4.30 % (1494742)Peak memory usage: 110 MB
% 11.95/4.30 % (1494742)Instructions burned: 295 (million)
% 11.95/4.30 % (1494746)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3452529704:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 11.95/4.30 % (1494747)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3981389565:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 11.95/4.30 % (1494746)Instruction limit reached!
% 11.95/4.30 % (1494746)------------------------------
% 11.95/4.30 % (1494746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494746)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494746)Termination reason: Instruction limit
% 11.95/4.30 % (1494746)Termination phase: Preprocessing 3
% 11.95/4.30 % (1494746)Time elapsed: 0.093 s
% 11.95/4.30 % (1494746)Peak memory usage: 105 MB
% 11.95/4.30 % (1494746)Instructions burned: 113 (million)
% 11.95/4.30 % (1494747)Instruction limit reached!
% 11.95/4.30 % (1494747)------------------------------
% 11.95/4.30 % (1494747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494747)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494747)Termination reason: Instruction limit
% 11.95/4.30 % (1494747)Termination phase: Preprocessing 2
% 11.95/4.30 % (1494747)Time elapsed: 0.100 s
% 11.95/4.30 % (1494747)Peak memory usage: 106 MB
% 11.95/4.30 % (1494747)Instructions burned: 127 (million)
% 11.95/4.30 % (1494749)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=153775209:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 11.95/4.30 % (1494749)Instruction limit reached!
% 11.95/4.30 % (1494749)------------------------------
% 11.95/4.30 % (1494749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494749)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494749)Termination reason: Instruction limit
% 11.95/4.30 % (1494749)Termination phase: Property scanning
% 11.95/4.30 % (1494749)Time elapsed: 0.051 s
% 11.95/4.30 % (1494749)Peak memory usage: 102 MB
% 11.95/4.30 % (1494749)Instructions burned: 116 (million)
% 11.95/4.30 % (1494752)lrs+10_1_sil=8000:sp=occurrence:random_seed=3227906824:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 11.95/4.30 % (1494754)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3657811736:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 11.95/4.30 % (1494755)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2534593784:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 11.95/4.30 % (1494754)Refutation not found, incomplete strategy
% 11.95/4.30 % (1494754)------------------------------
% 11.95/4.30 % (1494754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494754)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494754)Termination reason: Refutation not found, incomplete strategy
% 11.95/4.30 % (1494754)Time elapsed: 0.130 s
% 11.95/4.30 % (1494754)Peak memory usage: 109 MB
% 11.95/4.30 % (1494754)Instructions burned: 185 (million)
% 11.95/4.30 % (1494754)------------------------------
% 11.95/4.30 % (1494754)------------------------------
% 11.95/4.30 % (1494752)Instruction limit reached!
% 11.95/4.30 % (1494752)------------------------------
% 11.95/4.30 % (1494752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494752)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494752)Termination reason: Instruction limit
% 11.95/4.30 % (1494752)Termination phase: Saturation
% 11.95/4.30 % (1494752)Time elapsed: 0.518 s
% 11.95/4.30 % (1494752)Peak memory usage: 121 MB
% 11.95/4.30 % (1494752)Instructions burned: 907 (million)
% 11.95/4.30 % (1494759)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3132351590:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 11.95/4.30 % (1494759)Instruction limit reached!
% 11.95/4.30 % (1494759)------------------------------
% 11.95/4.30 % (1494759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494759)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494759)Termination reason: Instruction limit
% 11.95/4.30 % (1494759)Termination phase: Property scanning
% 11.95/4.30 % (1494759)Time elapsed: 0.101 s
% 11.95/4.30 % (1494759)Peak memory usage: 106 MB
% 11.95/4.30 % (1494759)Instructions burned: 135 (million)
% 11.95/4.30 % (1494760)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3297696623:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 11.95/4.30 % (1494763)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=135320933:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 11.95/4.30 % (1494760)Instruction limit reached!
% 11.95/4.30 % (1494760)------------------------------
% 11.95/4.30 % (1494760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494760)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494760)Termination reason: Instruction limit
% 11.95/4.30 % (1494760)Termination phase: Property scanning
% 11.95/4.30 % (1494760)Time elapsed: 0.383 s
% 11.95/4.30 % (1494760)Peak memory usage: 122 MB
% 11.95/4.30 % (1494760)Instructions burned: 594 (million)
% 11.95/4.30 % (1494743)Instruction limit reached!
% 11.95/4.30 % (1494743)------------------------------
% 11.95/4.30 % (1494743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494743)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494743)Termination reason: Instruction limit
% 11.95/4.30 % (1494743)Termination phase: Saturation
% 11.95/4.30 % (1494743)Time elapsed: 1.427 s
% 11.95/4.30 % (1494743)Peak memory usage: 240 MB
% 11.95/4.30 % (1494743)Instructions burned: 2350 (million)
% 11.95/4.30 % (1494765)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=3830905007:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 11.95/4.30 % (1494766)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2004785838:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 11.95/4.30 % (1494765)Instruction limit reached!
% 11.95/4.30 % (1494765)------------------------------
% 11.95/4.30 % (1494765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494765)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494765)Termination reason: Instruction limit
% 11.95/4.30 % (1494765)Termination phase: Property scanning
% 11.95/4.30 % (1494765)Time elapsed: 0.055 s
% 11.95/4.30 % (1494765)Peak memory usage: 102 MB
% 11.95/4.30 % (1494765)Instructions burned: 126 (million)
% 11.95/4.30 % (1494722)First to succeed.
% 11.95/4.30 % (1494722)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1494715"
% 11.95/4.30 % (1494766)Instruction limit reached!
% 11.95/4.30 % (1494766)------------------------------
% 11.95/4.30 % (1494766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494766)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494766)Termination reason: Instruction limit
% 11.95/4.30 % (1494766)Termination phase: Property scanning
% 11.95/4.30 % (1494766)Time elapsed: 0.059 s
% 11.95/4.30 % (1494766)Peak memory usage: 102 MB
% 11.95/4.30 % (1494766)Instructions burned: 136 (million)
% 11.95/4.30 % (1494769)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2599267049:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 11.95/4.30 % (1494770)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2951621985:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 11.95/4.30 % (1494769)Refutation not found, incomplete strategy
% 11.95/4.30 % (1494769)------------------------------
% 11.95/4.30 % (1494769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/4.30 % (1494769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/4.30 % (1494769)CaDiCaL version: 2.1.3
% 11.95/4.30 % (1494769)Termination reason: Refutation not found, incomplete strategy
% 11.95/4.30 % (1494769)Time elapsed: 0.066 s
% 11.95/4.30 % (1494769)Peak memory usage: 107 MB
% 11.95/4.30 % (1494769)Instructions burned: 77 (million)
% 11.95/4.30 % (1494722)Refutation found. Thanks to Tanya!
% 11.95/4.30 % SZS status Theorem for theBenchmark
% 11.95/4.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/4.50 % (1494722)------------------------------
% 0.17/4.50 % (1494722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/4.50 % (1494722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/4.50 % (1494722)CaDiCaL version: 2.1.3
% 0.17/4.50 % (1494722)Termination reason: Refutation
% 0.17/4.50 % (1494722)Time elapsed: 2.295 s
% 0.17/4.50 % (1494722)Peak memory usage: 208 MB
% 0.17/4.50 % (1494722)Instructions burned: 3503 (million)
% 0.17/4.50 % (1494722)------------------------------
% 0.17/4.50 % (1494722)------------------------------
% 0.17/4.50 % (1494715)Success in time 3.465 s
% 0.17/4.50 % Vampire exiting
%------------------------------------------------------------------------------