%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT334+1 : 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 28.80s 5.03s
% Output : Refutation 30.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 38
% Syntax : Number of formulae : 388 ( 56 unt; 22 def)
% Number of atoms : 1946 ( 102 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 2722 (1164 ~;1369 |; 118 &)
% ( 30 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 22 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 388 ( 0 sgn 384 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v12_lattices(X0)
=> v12_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v12_lattices(X0)
=> v12_lattices(k23_filter_2(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v12_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(X0))
=> ( r1_lattices(X0,X1,X3)
=> k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_lattices) ).
fof(f26,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(f28,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattices) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f37,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f41,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(f66,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(f86,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f87,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f97,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_nat_lat(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_filter_2) ).
fof(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k3_lattices(X0,X2,X3) = k3_lattices(k23_filter_2(X0,X1),X4,X5)
& k4_lattices(X0,X2,X3) = k4_lattices(k23_filter_2(X0,X1),X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_filter_2) ).
fof(f100,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
=> ( ( X2 = X4
& X3 = X5 )
=> ( r3_lattices(X0,X2,X3)
<=> r3_lattices(k23_filter_2(X0,X1),X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_filter_2) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ~ v12_lattices(k23_filter_2(X0,X1))
& v12_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ~ v12_lattices(k23_filter_2(X0,X1))
& v12_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f122,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f123,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f134,plain,
! [X0] :
( ( v12_lattices(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k1_lattices(X0,X1,X2),X3)
| ~ r1_lattices(X0,X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f135,plain,
! [X0] :
( ( v12_lattices(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k1_lattices(X0,X1,X2),X3)
| ~ r1_lattices(X0,X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f134]) ).
fof(f146,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,[],[f26]) ).
fof(f147,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,[],[f146]) ).
fof(f150,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f151,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2] :
( m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f153,plain,
! [X0,X1,X2] :
( m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f155,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f154]) ).
fof(f158,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f161,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,[],[f41]) ).
fof(f162,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,[],[f161]) ).
fof(f182,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,[],[f66]) ).
fof(f183,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,[],[f182]) ).
fof(f197,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f198,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f200,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f199]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f201]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m2_nat_lat(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m2_nat_lat(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f212]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k3_lattices(X0,X2,X3) = k3_lattices(k23_filter_2(X0,X1),X4,X5)
& k4_lattices(X0,X2,X3) = k4_lattices(k23_filter_2(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k3_lattices(X0,X2,X3) = k3_lattices(k23_filter_2(X0,X1),X4,X5)
& k4_lattices(X0,X2,X3) = k4_lattices(k23_filter_2(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r3_lattices(X0,X2,X3)
<=> r3_lattices(k23_filter_2(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r3_lattices(X0,X2,X3)
<=> r3_lattices(k23_filter_2(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f217]) ).
fof(f221,plain,
m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f222,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f117]) ).
fof(f223,plain,
v12_lattices(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f224,plain,
~ v12_lattices(k23_filter_2(sK0,sK1)),
inference(cnf_transformation,[],[f117]) ).
fof(f225,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f226,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f227,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f231,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f232,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f234,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f236,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( k1_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k1_lattices(X0,X1,X2),X3)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r1_lattices(X0,X1,X3)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f244,plain,
! [X0] :
( m1_subset_1(sK4(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f245,plain,
! [X0] :
( r1_lattices(X0,sK2(X0),sK4(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f246,plain,
! [X0] :
( k1_lattices(X0,sK2(X0),k2_lattices(X0,sK3(X0),sK4(X0))) != k2_lattices(X0,k1_lattices(X0,sK2(X0),sK3(X0)),sK4(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f247,plain,
! [X0] :
( m1_subset_1(sK3(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f248,plain,
! [X0] :
( m1_subset_1(sK2(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f256,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f258,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f259,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f260,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f263,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f264,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f266,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f268,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f305,plain,
! [X0,X1] :
( v9_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f306,plain,
! [X0,X1] :
( v8_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f308,plain,
! [X0,X1] :
( v6_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f310,plain,
! [X0,X1] :
( v4_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f312,plain,
! [X0,X1] :
( ~ v3_struct_0(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f368,plain,
! [X2,X0,X1] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f369,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f372,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f373,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f213]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X3 != X5
| X2 != X4
| k4_lattices(X0,X2,X3) = k4_lattices(k23_filter_2(X0,X1),X4,X5) ),
inference(cnf_transformation,[],[f216]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X3 != X5
| X2 != X4
| k3_lattices(X0,X2,X3) = k3_lattices(k23_filter_2(X0,X1),X4,X5) ),
inference(cnf_transformation,[],[f216]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X3 != X5
| X2 != X4
| ~ r3_lattices(k23_filter_2(X0,X1),X4,X5)
| r3_lattices(X0,X2,X3) ),
inference(cnf_transformation,[],[f218]) ).
fof(f390,plain,
! [X2,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X2 != X4
| k3_lattices(k23_filter_2(X0,X1),X4,X5) = k3_lattices(X0,X2,X5) ),
inference(equality_resolution,[],[f384]) ).
fof(f391,plain,
! [X0,X1,X4,X5] :
( k3_lattices(k23_filter_2(X0,X1),X4,X5) = k3_lattices(X0,X4,X5)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f390]) ).
fof(f392,plain,
! [X2,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X2 != X4
| k4_lattices(k23_filter_2(X0,X1),X4,X5) = k4_lattices(X0,X2,X5) ),
inference(equality_resolution,[],[f383]) ).
fof(f393,plain,
! [X0,X1,X4,X5] :
( k4_lattices(k23_filter_2(X0,X1),X4,X5) = k4_lattices(X0,X4,X5)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f392]) ).
fof(f396,plain,
! [X2,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| X2 != X4
| ~ r3_lattices(k23_filter_2(X0,X1),X4,X5)
| r3_lattices(X0,X2,X5) ),
inference(equality_resolution,[],[f385]) ).
fof(f397,plain,
! [X0,X1,X4,X5] :
( ~ r3_lattices(k23_filter_2(X0,X1),X4,X5)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| ~ l3_lattices(X0)
| r3_lattices(X0,X4,X5) ),
inference(equality_resolution,[],[f396]) ).
fof(f398,definition,
sF30 = k23_filter_2(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f399,plain,
k23_filter_2(sK0,sK1) = sF30,
inference(reorient_equations,[],[f398]) ).
fof(f400,plain,
~ v12_lattices(sF30),
inference(definition_folding,[],[f224,f399]) ).
fof(f401,plain,
( m2_nat_lat(sF30,sK0)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f256,f399]) ).
fof(f402,plain,
( m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f401,f222]) ).
fof(f403,plain,
( m2_nat_lat(sF30,sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f402,f225]) ).
fof(f404,plain,
( m2_nat_lat(sF30,sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f403,f226]) ).
fof(f405,plain,
( m2_nat_lat(sF30,sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f404,f227]) ).
fof(f406,plain,
m2_nat_lat(sF30,sK0),
inference(forward_subsumption_resolution,[],[f405,f221]) ).
fof(f407,plain,
l2_lattices(sK0),
inference(resolution,[],[f263,f225]) ).
fof(f408,plain,
l1_lattices(sK0),
inference(resolution,[],[f264,f225]) ).
fof(f415,plain,
( ~ v3_struct_0(sF30)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f312,f399]) ).
fof(f416,plain,
( ~ v3_struct_0(sF30)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f415,f222]) ).
fof(f417,plain,
( ~ v3_struct_0(sF30)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f416,f225]) ).
fof(f418,plain,
( ~ v3_struct_0(sF30)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f417,f226]) ).
fof(f419,plain,
( ~ v3_struct_0(sF30)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f418,f227]) ).
fof(f420,plain,
~ v3_struct_0(sF30),
inference(forward_subsumption_resolution,[],[f419,f221]) ).
fof(f421,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X1) ),
inference(superposition,[],[f397,f399]) ).
fof(f422,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f421,f226]) ).
fof(f423,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f422,f227]) ).
fof(f424,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f423,f221]) ).
fof(f425,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0)
| r3_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f424,f222]) ).
fof(f426,plain,
! [X0,X1] :
( ~ r3_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| r3_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f425,f225]) ).
fof(f439,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK2(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(resolution,[],[f381,f248]) ).
fof(f440,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK3(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(resolution,[],[f381,f247]) ).
fof(f441,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK4(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(resolution,[],[f381,f244]) ).
fof(f442,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK4(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f441,f268]) ).
fof(f443,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK3(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f440,f268]) ).
fof(f444,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(sK2(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f439,f268]) ).
fof(f445,plain,
! [X0,X1] :
( m1_subset_1(sK4(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f442,f266]) ).
fof(f446,plain,
! [X0,X1] :
( m1_subset_1(sK3(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f443,f266]) ).
fof(f447,plain,
! [X0,X1] :
( m1_subset_1(sK2(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v12_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f444,f266]) ).
fof(f454,plain,
( v8_lattices(sF30)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f306,f399]) ).
fof(f455,plain,
( v8_lattices(sF30)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f454,f222]) ).
fof(f456,plain,
( v8_lattices(sF30)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f455,f225]) ).
fof(f457,plain,
( v8_lattices(sF30)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f456,f226]) ).
fof(f458,plain,
( v8_lattices(sF30)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f457,f227]) ).
fof(f459,plain,
v8_lattices(sF30),
inference(forward_subsumption_resolution,[],[f458,f221]) ).
fof(f460,plain,
( v4_lattices(sF30)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f310,f399]) ).
fof(f461,plain,
( v4_lattices(sF30)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f460,f222]) ).
fof(f462,plain,
( v4_lattices(sF30)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f461,f225]) ).
fof(f463,plain,
( v4_lattices(sF30)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f462,f226]) ).
fof(f464,plain,
( v4_lattices(sF30)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f463,f227]) ).
fof(f465,plain,
v4_lattices(sF30),
inference(forward_subsumption_resolution,[],[f464,f221]) ).
fof(f466,plain,
( v9_lattices(sF30)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f305,f399]) ).
fof(f467,plain,
( v9_lattices(sF30)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f466,f222]) ).
fof(f468,plain,
( v9_lattices(sF30)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f467,f225]) ).
fof(f469,plain,
( v9_lattices(sF30)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f468,f226]) ).
fof(f470,plain,
( v9_lattices(sF30)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f469,f227]) ).
fof(f471,plain,
v9_lattices(sF30),
inference(forward_subsumption_resolution,[],[f470,f221]) ).
fof(f472,plain,
( v6_lattices(sF30)
| v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(superposition,[],[f308,f399]) ).
fof(f473,plain,
( v6_lattices(sF30)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f472,f222]) ).
fof(f474,plain,
( v6_lattices(sF30)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f473,f225]) ).
fof(f475,plain,
( v6_lattices(sF30)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f474,f226]) ).
fof(f476,plain,
( v6_lattices(sF30)
| ~ m2_lattice4(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f475,f227]) ).
fof(f477,plain,
v6_lattices(sF30),
inference(forward_subsumption_resolution,[],[f476,f221]) ).
fof(f493,plain,
! [X0] :
( ~ m1_subset_1(sK2(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK4(X0),u1_struct_0(X0))
| r3_lattices(X0,sK2(X0),sK4(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(resolution,[],[f372,f245]) ).
fof(f494,plain,
! [X0] :
( ~ m1_subset_1(sK2(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK4(X0),u1_struct_0(X0))
| r3_lattices(X0,sK2(X0),sK4(X0))
| v12_lattices(X0) ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f495,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(sK4(X0),u1_struct_0(X0))
| r3_lattices(X0,sK2(X0),sK4(X0))
| v12_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f494,f248]) ).
fof(f496,plain,
! [X0] :
( r3_lattices(X0,sK2(X0),sK4(X0))
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v12_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f495,f244]) ).
fof(f500,plain,
( ~ v9_lattices(sF30)
| ~ v8_lattices(sF30)
| ~ v6_lattices(sF30)
| v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(resolution,[],[f496,f426]) ).
fof(f502,plain,
( ~ v8_lattices(sF30)
| ~ v6_lattices(sF30)
| v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(forward_subsumption_resolution,[],[f500,f471]) ).
fof(f504,plain,
( ~ v6_lattices(sF30)
| v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(forward_subsumption_resolution,[],[f502,f459]) ).
fof(f506,plain,
( v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(forward_subsumption_resolution,[],[f504,f477]) ).
fof(f508,plain,
( ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(forward_subsumption_resolution,[],[f506,f420]) ).
fof(f510,plain,
( ~ l3_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
inference(forward_subsumption_resolution,[],[f508,f400]) ).
fof(f512,definition,
( spl31_1
<=> r3_lattices(sK0,sK2(sF30),sK4(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f513,plain,
( r3_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,definition,
( spl31_2
<=> m1_subset_1(sK4(sF30),u1_struct_0(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f516,plain,
( ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| spl31_2 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,definition,
( spl31_3
<=> m1_subset_1(sK2(sF30),u1_struct_0(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f519,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| spl31_3 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl31_4
<=> m1_subset_1(sK4(sF30),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f522,plain,
( ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| spl31_4 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,definition,
( spl31_5
<=> m1_subset_1(sK2(sF30),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f525,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| spl31_5 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,definition,
( spl31_6
<=> l3_lattices(sF30) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f528,plain,
( ~ l3_lattices(sF30)
| spl31_6 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f529,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f510,f527,f524,f521,f518,f515,f512]) ).
fof(f530,plain,
( v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_2 ),
inference(resolution,[],[f516,f244]) ).
fof(f531,plain,
( ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f530,f420]) ).
fof(f532,plain,
( ~ l3_lattices(sF30)
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f531,f400]) ).
fof(f533,plain,
( ~ spl31_6
| spl31_2 ),
inference(avatar_split_clause,[],[f532,f515,f527]) ).
fof(f534,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f391,f399]) ).
fof(f535,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f534,f226]) ).
fof(f536,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f535,f227]) ).
fof(f537,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f536,f221]) ).
fof(f538,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f537,f222]) ).
fof(f539,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k3_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30)) ),
inference(forward_subsumption_resolution,[],[f538,f225]) ).
fof(f546,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f393,f399]) ).
fof(f547,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| v3_struct_0(sK0)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f546,f226]) ).
fof(f548,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| ~ m2_lattice4(sK1,sK0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f547,f227]) ).
fof(f549,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f548,f221]) ).
fof(f550,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f549,f222]) ).
fof(f551,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30)) ),
inference(forward_subsumption_resolution,[],[f550,f225]) ).
fof(f555,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| ~ v4_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30)) ),
inference(superposition,[],[f539,f368]) ).
fof(f556,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| ~ v4_lattices(sF30)
| v3_struct_0(sF30) ),
inference(duplicate_literal_removal,[],[f555]) ).
fof(f560,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| v3_struct_0(sF30) ),
inference(forward_subsumption_resolution,[],[f556,f465]) ).
fof(f564,plain,
! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l2_lattices(sF30) ),
inference(forward_subsumption_resolution,[],[f560,f420]) ).
fof(f672,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| v6_lattices(sK0) ),
inference(resolution,[],[f234,f225]) ).
fof(f673,plain,
( v3_struct_0(sK0)
| v6_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f672,f226]) ).
fof(f674,plain,
v6_lattices(sK0),
inference(forward_subsumption_resolution,[],[f673,f227]) ).
fof(f676,definition,
( spl31_7
<=> l2_lattices(sF30) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f677,plain,
( ~ l2_lattices(sF30)
| spl31_7 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f679,definition,
( spl31_8
<=> ! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f680,plain,
( ! [X0,X1] :
( k3_lattices(sK0,X0,X1) = k1_lattices(sF30,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ spl31_7
| spl31_8 ),
inference(avatar_split_clause,[],[f564,f679,f676]) ).
fof(f682,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| v9_lattices(sK0) ),
inference(resolution,[],[f231,f225]) ).
fof(f683,plain,
( v3_struct_0(sK0)
| v9_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f682,f226]) ).
fof(f684,plain,
v9_lattices(sK0),
inference(forward_subsumption_resolution,[],[f683,f227]) ).
fof(f706,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| v8_lattices(sK0) ),
inference(resolution,[],[f232,f225]) ).
fof(f707,plain,
( v3_struct_0(sK0)
| v8_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f706,f226]) ).
fof(f708,plain,
v8_lattices(sK0),
inference(forward_subsumption_resolution,[],[f707,f227]) ).
fof(f709,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| v4_lattices(sK0) ),
inference(resolution,[],[f236,f225]) ).
fof(f710,plain,
( v3_struct_0(sK0)
| v4_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f709,f226]) ).
fof(f711,plain,
v4_lattices(sK0),
inference(forward_subsumption_resolution,[],[f710,f227]) ).
fof(f717,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ l1_lattices(sF30)
| ~ v6_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30)) ),
inference(superposition,[],[f551,f369]) ).
fof(f722,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l1_lattices(sF30)
| ~ v6_lattices(sF30)
| v3_struct_0(sF30) ),
inference(duplicate_literal_removal,[],[f717]) ).
fof(f728,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l1_lattices(sF30)
| v3_struct_0(sF30) ),
inference(forward_subsumption_resolution,[],[f722,f477]) ).
fof(f732,plain,
! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ l1_lattices(sF30) ),
inference(forward_subsumption_resolution,[],[f728,f420]) ).
fof(f747,definition,
( spl31_9
<=> l1_lattices(sF30) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f748,plain,
( ~ l1_lattices(sF30)
| spl31_9 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,definition,
( spl31_10
<=> ! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f751,plain,
( ! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k2_lattices(sF30,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f752,plain,
( ~ spl31_9
| spl31_10 ),
inference(avatar_split_clause,[],[f732,f750,f747]) ).
fof(f831,plain,
! [X0,X1] :
( m1_subset_1(k3_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| ~ v4_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30)) ),
inference(superposition,[],[f259,f539]) ).
fof(f840,plain,
! [X0,X1] :
( m1_subset_1(k3_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| ~ v4_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f965,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| l3_lattices(sF30) ),
inference(resolution,[],[f266,f406]) ).
fof(f968,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| l3_lattices(sF30) ),
inference(forward_subsumption_resolution,[],[f965,f226]) ).
fof(f978,plain,
( ~ l3_lattices(sK0)
| l3_lattices(sF30) ),
inference(forward_subsumption_resolution,[],[f968,f227]) ).
fof(f979,plain,
l3_lattices(sF30),
inference(forward_subsumption_resolution,[],[f978,f225]) ).
fof(f980,plain,
( $false
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f979,f528]) ).
fof(f981,plain,
spl31_6,
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f993,plain,
l2_lattices(sF30),
inference(resolution,[],[f979,f263]) ).
fof(f994,plain,
l1_lattices(sF30),
inference(resolution,[],[f979,f264]) ).
fof(f997,plain,
( $false
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f994,f748]) ).
fof(f998,plain,
spl31_9,
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f999,plain,
( $false
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f993,f677]) ).
fof(f1000,plain,
spl31_7,
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1005,plain,
! [X0,X1] :
( m1_subset_1(k3_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ l2_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f840,f465]) ).
fof(f1010,plain,
! [X0,X1] :
( m1_subset_1(k3_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| v3_struct_0(sF30)
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1005,f993]) ).
fof(f1015,plain,
! [X0,X1] :
( m1_subset_1(k3_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1010,f420]) ).
fof(f1017,plain,
( v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_3 ),
inference(resolution,[],[f519,f248]) ).
fof(f1019,plain,
( ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f1017,f420]) ).
fof(f1020,plain,
( v12_lattices(sF30)
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f1019,f979]) ).
fof(f1021,plain,
( $false
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f1020,f400]) ).
fof(f1022,plain,
spl31_3,
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1028,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(superposition,[],[f259,f680]) ).
fof(f1032,plain,
( ! [X0,X1] :
( k1_lattices(sF30,X0,X1) = k1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(superposition,[],[f368,f680]) ).
fof(f1033,plain,
( ! [X0,X1] :
( k1_lattices(sF30,X0,X1) = k1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(duplicate_literal_removal,[],[f1032]) ).
fof(f1037,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(duplicate_literal_removal,[],[f1028]) ).
fof(f1042,plain,
( ! [X0,X1] :
( k1_lattices(sF30,X0,X1) = k1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1033,f407]) ).
fof(f1044,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1037,f407]) ).
fof(f1047,plain,
( ! [X0,X1] :
( k1_lattices(sF30,X0,X1) = k1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1042,f711]) ).
fof(f1049,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1044,f711]) ).
fof(f1052,plain,
( ! [X0,X1] :
( k1_lattices(sF30,X0,X1) = k1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1047,f227]) ).
fof(f1054,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1049,f227]) ).
fof(f1063,plain,
( ! [X0,X1] :
( m1_subset_1(k2_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_10 ),
inference(superposition,[],[f260,f751]) ).
fof(f1065,plain,
( ! [X0,X1] :
( k2_lattices(sF30,X0,X1) = k2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl31_10 ),
inference(superposition,[],[f369,f751]) ).
fof(f1070,plain,
( ! [X0,X1] :
( k2_lattices(sF30,X0,X1) = k2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(duplicate_literal_removal,[],[f1065]) ).
fof(f1072,plain,
( ! [X0,X1] :
( m1_subset_1(k2_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(duplicate_literal_removal,[],[f1063]) ).
fof(f1078,plain,
( ! [X0,X1] :
( k2_lattices(sF30,X0,X1) = k2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1070,f408]) ).
fof(f1080,plain,
( ! [X0,X1] :
( m1_subset_1(k2_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1072,f408]) ).
fof(f1084,plain,
( ! [X0,X1] :
( k2_lattices(sF30,X0,X1) = k2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1078,f674]) ).
fof(f1086,plain,
( ! [X0,X1] :
( m1_subset_1(k2_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1080,f674]) ).
fof(f1090,plain,
( ! [X0,X1] :
( k2_lattices(sF30,X0,X1) = k2_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1084,f227]) ).
fof(f1092,plain,
( ! [X0,X1] :
( m1_subset_1(k2_lattices(sF30,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1086,f227]) ).
fof(f1255,plain,
! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(superposition,[],[f1015,f368]) ).
fof(f1256,plain,
! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ v4_lattices(sK0)
| v3_struct_0(sK0) ),
inference(duplicate_literal_removal,[],[f1255]) ).
fof(f1264,plain,
! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v4_lattices(sK0)
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f1256,f407]) ).
fof(f1266,plain,
! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f1264,f711]) ).
fof(f1268,plain,
! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1266,f227]) ).
fof(f1341,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30)))
| v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8 ),
inference(superposition,[],[f246,f1052]) ).
fof(f1357,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30)))
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1341,f420]) ).
fof(f1358,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30)))
| v12_lattices(sF30)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1357,f979]) ).
fof(f1359,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30)))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1358,f400]) ).
fof(f1361,definition,
( spl31_14
<=> m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f1362,plain,
( ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sF30))
| spl31_14 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1364,definition,
( spl31_15
<=> m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).
fof(f1365,plain,
( ~ m1_subset_1(k2_lattices(sF30,sK3(sF30),sK4(sF30)),u1_struct_0(sK0))
| spl31_15 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1367,definition,
( spl31_16
<=> k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) = k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30))) ),
introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition]) ).
fof(f1368,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sF30,sK3(sF30),sK4(sF30)))
| spl31_16 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1369,plain,
( ~ spl31_3
| ~ spl31_14
| ~ spl31_15
| ~ spl31_5
| ~ spl31_16
| ~ spl31_8 ),
inference(avatar_split_clause,[],[f1359,f679,f1367,f524,f1364,f1361,f518]) ).
fof(f1461,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(superposition,[],[f1054,f1052]) ).
fof(f1472,plain,
( ! [X0,X1] :
( m1_subset_1(k1_lattices(sK0,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sF30))
| ~ m1_subset_1(X0,u1_struct_0(sF30)) )
| ~ spl31_8 ),
inference(duplicate_literal_removal,[],[f1461]) ).
fof(f3234,definition,
( spl31_17
<=> m1_subset_1(sK3(sF30),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f3235,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| spl31_17 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f4093,plain,
( v3_struct_0(sK0)
| ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_4 ),
inference(resolution,[],[f445,f522]) ).
fof(f4114,plain,
( ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f4093,f227]) ).
fof(f4121,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f4114,f406]) ).
fof(f4128,plain,
( ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f4121,f225]) ).
fof(f4129,plain,
( v12_lattices(sF30)
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f4128,f226]) ).
fof(f4130,plain,
( $false
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f4129,f400]) ).
fof(f4131,plain,
spl31_4,
inference(avatar_contradiction_clause,[],[f4130]) ).
fof(f4366,plain,
( v3_struct_0(sK0)
| ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_5 ),
inference(resolution,[],[f447,f525]) ).
fof(f4387,plain,
( ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f4366,f227]) ).
fof(f4394,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f4387,f406]) ).
fof(f4401,plain,
( ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f4394,f225]) ).
fof(f4402,plain,
( v12_lattices(sF30)
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f4401,f226]) ).
fof(f4403,plain,
( $false
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f4402,f400]) ).
fof(f4404,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f4423,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(resolution,[],[f513,f373]) ).
fof(f4424,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ v9_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f4423,f225]) ).
fof(f4425,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ v8_lattices(sK0)
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f4424,f684]) ).
fof(f4426,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| v3_struct_0(sK0)
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f4425,f708]) ).
fof(f4427,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| v3_struct_0(sK0)
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f4426,f674]) ).
fof(f4428,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f4427,f227]) ).
fof(f4430,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ l1_lattices(sF30)
| v3_struct_0(sF30)
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| spl31_14 ),
inference(resolution,[],[f1362,f258]) ).
fof(f4445,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| v3_struct_0(sF30)
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| spl31_14 ),
inference(forward_subsumption_resolution,[],[f4430,f994]) ).
fof(f4449,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| spl31_14 ),
inference(forward_subsumption_resolution,[],[f4445,f420]) ).
fof(f4470,definition,
( spl31_26
<=> r1_lattices(sK0,sK2(sF30),sK4(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).
fof(f4471,plain,
( r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f4470]) ).
fof(f4472,plain,
( ~ spl31_4
| spl31_26
| ~ spl31_5
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f4428,f512,f524,f4470,f521]) ).
fof(f4507,definition,
( spl31_30
<=> m1_subset_1(sK3(sF30),u1_struct_0(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).
fof(f4508,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| spl31_30 ),
inference(avatar_component_clause,[],[f4507]) ).
fof(f4509,plain,
( ~ spl31_2
| ~ spl31_30
| spl31_14 ),
inference(avatar_split_clause,[],[f4449,f1361,f4507,f515]) ).
fof(f4511,plain,
( v3_struct_0(sF30)
| ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_30 ),
inference(resolution,[],[f4508,f247]) ).
fof(f4515,plain,
( ~ l3_lattices(sF30)
| v12_lattices(sF30)
| spl31_30 ),
inference(forward_subsumption_resolution,[],[f4511,f420]) ).
fof(f4517,plain,
( v12_lattices(sF30)
| spl31_30 ),
inference(forward_subsumption_resolution,[],[f4515,f979]) ).
fof(f4519,plain,
( $false
| spl31_30 ),
inference(forward_subsumption_resolution,[],[f4517,f400]) ).
fof(f4520,plain,
spl31_30,
inference(avatar_contradiction_clause,[],[f4519]) ).
fof(f4521,plain,
( ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ spl31_10
| spl31_15 ),
inference(resolution,[],[f1365,f1092]) ).
fof(f6716,plain,
( v3_struct_0(sK0)
| ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_17 ),
inference(resolution,[],[f446,f3235]) ).
fof(f6737,plain,
( ~ m2_nat_lat(sF30,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f6716,f227]) ).
fof(f6744,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f6737,f406]) ).
fof(f6751,plain,
( ~ v10_lattices(sK0)
| v12_lattices(sF30)
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f6744,f225]) ).
fof(f6752,plain,
( v12_lattices(sF30)
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f6751,f226]) ).
fof(f6753,plain,
( $false
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f6752,f400]) ).
fof(f6754,plain,
spl31_17,
inference(avatar_contradiction_clause,[],[f6753]) ).
fof(f6772,plain,
( ~ spl31_30
| ~ spl31_2
| ~ spl31_4
| ~ spl31_17
| ~ spl31_10
| spl31_15 ),
inference(avatar_split_clause,[],[f4521,f1364,f750,f3234,f521,f515,f4507]) ).
fof(f6777,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sK0,sK3(sF30),sK4(sF30)))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ spl31_10
| spl31_16 ),
inference(superposition,[],[f1368,f1090]) ).
fof(f6830,definition,
( spl31_46
<=> k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) = k1_lattices(sK0,sK2(sF30),k2_lattices(sK0,sK3(sF30),sK4(sF30))) ),
introduced(definition,[new_symbols(definition,[spl31_46])],[avatar_definition]) ).
fof(f6831,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k1_lattices(sK0,sK2(sF30),k2_lattices(sK0,sK3(sF30),sK4(sF30)))
| spl31_46 ),
inference(avatar_component_clause,[],[f6830]) ).
fof(f6832,plain,
( ~ spl31_30
| ~ spl31_2
| ~ spl31_4
| ~ spl31_17
| ~ spl31_46
| ~ spl31_10
| spl31_16 ),
inference(avatar_split_clause,[],[f6777,f1367,f750,f6830,f3234,f521,f515,f4507]) ).
fof(f6932,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ l3_lattices(sK0)
| ~ v12_lattices(sK0)
| spl31_46 ),
inference(superposition,[],[f6831,f243]) ).
fof(f6933,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ r1_lattices(sK0,sK2(sF30),sK4(sF30))
| ~ l3_lattices(sK0)
| ~ v12_lattices(sK0)
| spl31_46 ),
inference(forward_subsumption_resolution,[],[f6932,f227]) ).
fof(f6935,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ v12_lattices(sK0)
| ~ spl31_26
| spl31_46 ),
inference(forward_subsumption_resolution,[],[f6933,f4471]) ).
fof(f6937,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ v12_lattices(sK0)
| ~ spl31_26
| spl31_46 ),
inference(forward_subsumption_resolution,[],[f6935,f225]) ).
fof(f6939,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ spl31_26
| spl31_46 ),
inference(forward_subsumption_resolution,[],[f6937,f223]) ).
fof(f6949,definition,
( spl31_57
<=> k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) = k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_57])],[avatar_definition]) ).
fof(f6950,plain,
( k2_lattices(sF30,k1_lattices(sF30,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| spl31_57 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f6951,plain,
( ~ spl31_4
| ~ spl31_17
| ~ spl31_5
| ~ spl31_57
| ~ spl31_26
| spl31_46 ),
inference(avatar_split_clause,[],[f6939,f6830,f4470,f6949,f524,f3234,f521]) ).
fof(f6953,plain,
( k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sF30,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8
| spl31_57 ),
inference(superposition,[],[f6950,f1052]) ).
fof(f6969,definition,
( spl31_58
<=> k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) = k2_lattices(sF30,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_58])],[avatar_definition]) ).
fof(f6970,plain,
( k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sF30,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| spl31_58 ),
inference(avatar_component_clause,[],[f6969]) ).
fof(f6971,plain,
( ~ spl31_3
| ~ spl31_30
| ~ spl31_17
| ~ spl31_5
| ~ spl31_58
| ~ spl31_8
| spl31_57 ),
inference(avatar_split_clause,[],[f6953,f6949,f679,f6969,f524,f3234,f4507,f518]) ).
fof(f7046,plain,
( k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30)) != k2_lattices(sK0,k1_lattices(sK0,sK2(sF30),sK3(sF30)),sK4(sF30))
| ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sF30))
| ~ spl31_10
| spl31_58 ),
inference(superposition,[],[f6970,f1090]) ).
fof(f7051,plain,
( ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK4(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sF30))
| ~ spl31_10
| spl31_58 ),
inference(trivial_inequality_removal,[],[f7046]) ).
fof(f7062,definition,
( spl31_65
<=> m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_65])],[avatar_definition]) ).
fof(f7063,plain,
( ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sF30))
| spl31_65 ),
inference(avatar_component_clause,[],[f7062]) ).
fof(f7065,definition,
( spl31_66
<=> m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_66])],[avatar_definition]) ).
fof(f7066,plain,
( ~ m1_subset_1(k1_lattices(sK0,sK2(sF30),sK3(sF30)),u1_struct_0(sK0))
| spl31_66 ),
inference(avatar_component_clause,[],[f7065]) ).
fof(f7067,plain,
( ~ spl31_65
| ~ spl31_2
| ~ spl31_4
| ~ spl31_66
| ~ spl31_10
| spl31_58 ),
inference(avatar_split_clause,[],[f7051,f6969,f750,f7065,f521,f515,f7062]) ).
fof(f7068,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| spl31_65 ),
inference(resolution,[],[f7063,f1268]) ).
fof(f7073,plain,
( ~ spl31_17
| ~ spl31_5
| ~ spl31_30
| ~ spl31_3
| spl31_65 ),
inference(avatar_split_clause,[],[f7068,f7062,f518,f4507,f524,f3234]) ).
fof(f7074,plain,
( ~ m1_subset_1(sK2(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sK0))
| ~ m1_subset_1(sK3(sF30),u1_struct_0(sF30))
| ~ m1_subset_1(sK2(sF30),u1_struct_0(sF30))
| ~ spl31_8
| spl31_66 ),
inference(resolution,[],[f7066,f1472]) ).
fof(f7082,plain,
( ~ spl31_3
| ~ spl31_30
| ~ spl31_17
| ~ spl31_5
| ~ spl31_8
| spl31_66 ),
inference(avatar_split_clause,[],[f7074,f7065,f679,f524,f3234,f4507,f518]) ).
cnf(s191,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5
| ~ spl31_6 ),
inference(sat_conversion,[],[f529]) ).
cnf(s194,plain,
( spl31_2
| ~ spl31_6 ),
inference(sat_conversion,[],[f533]) ).
cnf(s211,plain,
( ~ spl31_7
| spl31_8 ),
inference(sat_conversion,[],[f681]) ).
cnf(s223,plain,
( ~ spl31_9
| spl31_10 ),
inference(sat_conversion,[],[f752]) ).
cnf(s275,plain,
spl31_6,
inference(sat_conversion,[],[f981]) ).
cnf(s281,plain,
spl31_9,
inference(sat_conversion,[],[f998]) ).
cnf(s282,plain,
spl31_7,
inference(sat_conversion,[],[f1000]) ).
cnf(s294,plain,
spl31_3,
inference(sat_conversion,[],[f1022]) ).
cnf(s315,plain,
( ~ spl31_3
| ~ spl31_5
| ~ spl31_8
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s672,plain,
spl31_4,
inference(sat_conversion,[],[f4131]) ).
cnf(s724,plain,
spl31_5,
inference(sat_conversion,[],[f4404]) ).
cnf(s740,plain,
( ~ spl31_1
| ~ spl31_4
| ~ spl31_5
| spl31_26 ),
inference(sat_conversion,[],[f4472]) ).
cnf(s751,plain,
( ~ spl31_2
| spl31_14
| ~ spl31_30 ),
inference(sat_conversion,[],[f4509]) ).
cnf(s754,plain,
spl31_30,
inference(sat_conversion,[],[f4520]) ).
cnf(s995,plain,
spl31_17,
inference(sat_conversion,[],[f6754]) ).
cnf(s1000,plain,
( ~ spl31_2
| ~ spl31_4
| ~ spl31_10
| spl31_15
| ~ spl31_17
| ~ spl31_30 ),
inference(sat_conversion,[],[f6772]) ).
cnf(s1021,plain,
( ~ spl31_2
| ~ spl31_4
| ~ spl31_10
| spl31_16
| ~ spl31_17
| ~ spl31_30
| ~ spl31_46 ),
inference(sat_conversion,[],[f6832]) ).
cnf(s1055,plain,
( ~ spl31_4
| ~ spl31_5
| ~ spl31_17
| ~ spl31_26
| spl31_46
| ~ spl31_57 ),
inference(sat_conversion,[],[f6951]) ).
cnf(s1063,plain,
( ~ spl31_3
| ~ spl31_5
| ~ spl31_8
| ~ spl31_17
| ~ spl31_30
| spl31_57
| ~ spl31_58 ),
inference(sat_conversion,[],[f6971]) ).
cnf(s1086,plain,
( ~ spl31_2
| ~ spl31_4
| ~ spl31_10
| spl31_58
| ~ spl31_65
| ~ spl31_66 ),
inference(sat_conversion,[],[f7067]) ).
cnf(s1090,plain,
( ~ spl31_3
| ~ spl31_5
| ~ spl31_17
| ~ spl31_30
| spl31_65 ),
inference(sat_conversion,[],[f7073]) ).
cnf(s1095,plain,
( ~ spl31_3
| ~ spl31_5
| ~ spl31_8
| ~ spl31_17
| ~ spl31_30
| spl31_66 ),
inference(sat_conversion,[],[f7082]) ).
cnf(s1101,plain,
( ~ spl31_2
| spl31_14 ),
inference(rat,[],[s751,s754]) ).
cnf(s1105,plain,
( ~ spl31_3
| ~ spl31_8
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16 ),
inference(rat,[],[s315,s724]) ).
cnf(s1106,plain,
spl31_65,
inference(rat,[],[s1090,s724,s754,s995,s294]) ).
cnf(s1114,plain,
spl31_10,
inference(rat,[],[s223,s281]) ).
cnf(s1115,plain,
spl31_8,
inference(rat,[],[s211,s282]) ).
cnf(s1116,plain,
spl31_66,
inference(rat,[],[s1095,s294,s754,s995,s724,s1115]) ).
cnf(s1119,plain,
spl31_2,
inference(rat,[],[s194,s275]) ).
cnf(s1120,plain,
spl31_58,
inference(rat,[],[s1086,s1116,s1106,s1114,s672,s1119]) ).
cnf(s1126,plain,
spl31_15,
inference(rat,[],[s1000,s754,s995,s1114,s672,s1119]) ).
cnf(s1127,plain,
spl31_14,
inference(rat,[],[s1101,s1119]) ).
cnf(s1129,plain,
spl31_57,
inference(rat,[],[s1063,s1115,s294,s754,s995,s724,s1120]) ).
cnf(s1133,plain,
~ spl31_16,
inference(rat,[],[s1105,s1126,s1115,s294,s1127]) ).
cnf(s1139,plain,
~ spl31_46,
inference(rat,[],[s1021,s1119,s754,s995,s1114,s672,s1133]) ).
cnf(s1141,plain,
~ spl31_26,
inference(rat,[],[s1055,s1129,s672,s724,s995,s1139]) ).
cnf(s1142,plain,
~ spl31_1,
inference(rat,[],[s740,s672,s724,s1141]) ).
cnf(s1143,plain,
$false,
inference(rat,[],[s191,s275,s724,s672,s294,s1119,s1142]) ).
fof(f7083,plain,
$false,
inference(avatar_sat_refutation,[],[s1143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT334+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:42:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.39/2.50 % (1495152)Detected formulas, will run a generic FOF schedule.
% 11.39/2.50 % (1495163)dis-21_1_sil=8000:lcm=predicate:random_seed=398929330:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.39/2.50 % (1495163)Instruction limit reached!
% 11.39/2.50 % (1495163)------------------------------
% 11.39/2.50 % (1495163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.50 % (1495163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.50 % (1495163)CaDiCaL version: 2.1.3
% 11.39/2.50 % (1495163)Termination reason: Instruction limit
% 11.39/2.50 % (1495163)Termination phase: Saturation
% 11.39/2.50 % (1495163)Time elapsed: 0.040 s
% 11.39/2.50 % (1495163)Peak memory usage: 93 MB
% 11.39/2.50 % (1495163)Instructions burned: 130 (million)
% 11.39/2.50 % (1495160)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1248035089:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.39/2.50 % (1495159)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=2380452943:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.39/2.50 % (1495157)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=3800176996:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.39/2.50 % (1495161)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3964473799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.39/2.50 % (1495158)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=2884753348:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.39/2.50 % (1495162)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4101128456:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.39/2.50 % (1495160)Refutation not found, incomplete strategy
% 11.39/2.50 % (1495160)------------------------------
% 11.39/2.50 % (1495160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.50 % (1495160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.50 % (1495160)CaDiCaL version: 2.1.3
% 11.39/2.50 % (1495160)Termination reason: Refutation not found, incomplete strategy
% 11.39/2.50 % (1495160)Time elapsed: 0.002 s
% 11.39/2.50 % (1495160)Peak memory usage: 88 MB
% 11.39/2.50 % (1495160)Instructions burned: 1 (million)
% 11.39/2.50 % (1495161)Instruction limit reached!
% 11.39/2.50 % (1495161)------------------------------
% 11.39/2.50 % (1495161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.50 % (1495161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.50 % (1495161)CaDiCaL version: 2.1.3
% 11.39/2.50 % (1495161)Termination reason: Instruction limit
% 11.39/2.50 % (1495161)Termination phase: Saturation
% 11.39/2.50 % (1495161)Time elapsed: 0.059 s
% 11.39/2.50 % (1495161)Peak memory usage: 88 MB
% 11.39/2.50 % (1495161)Instructions burned: 120 (million)
% 11.39/2.50 % (1495162)Instruction limit reached!
% 11.39/2.50 % (1495162)------------------------------
% 11.39/2.50 % (1495162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.50 % (1495162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.50 % (1495162)CaDiCaL version: 2.1.3
% 11.39/2.50 % (1495162)Termination reason: Instruction limit
% 11.39/2.50 % (1495162)Termination phase: Saturation
% 11.39/2.50 % (1495162)Time elapsed: 0.077 s
% 11.39/2.50 % (1495162)Peak memory usage: 90 MB
% 11.39/2.50 % (1495162)Instructions burned: 141 (million)
% 11.39/2.50 % (1495171)lrs+10_1_sil=8000:sp=occurrence:random_seed=3802022595:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.39/2.50 % (1495172)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1096151520:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.39/2.50 % (1495172)Refutation not found, incomplete strategy
% 11.39/2.50 % (1495172)------------------------------
% 11.39/2.50 % (1495172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.50 % (1495172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.50 % (1495172)CaDiCaL version: 2.1.3
% 11.39/2.50 % (1495172)Termination reason: Refutation not found, incomplete strategy
% 18.08/3.48 % (1495172)Time elapsed: 0.004 s
% 18.08/3.48 % (1495172)Peak memory usage: 88 MB
% 18.08/3.48 % (1495172)Instructions burned: 5 (million)
% 18.08/3.48 % (1495171)Instruction limit reached!
% 18.08/3.48 % (1495171)------------------------------
% 18.08/3.48 % (1495171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.48 % (1495171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.48 % (1495171)CaDiCaL version: 2.1.3
% 18.08/3.48 % (1495171)Termination reason: Instruction limit
% 18.08/3.48 % (1495171)Termination phase: Saturation
% 18.08/3.48 % (1495171)Time elapsed: 0.079 s
% 18.08/3.48 % (1495171)Peak memory usage: 90 MB
% 18.08/3.48 % (1495171)Instructions burned: 286 (million)
% 18.08/3.48 % (1495173)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3552045268:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.08/3.48 % (1495160)------------------------------
% 18.08/3.48 % (1495160)------------------------------
% 18.08/3.48 % (1495173)Refutation not found, incomplete strategy
% 18.08/3.48 % (1495173)------------------------------
% 18.08/3.48 % (1495173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.48 % (1495173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.48 % (1495173)CaDiCaL version: 2.1.3
% 18.08/3.48 % (1495173)Termination reason: Refutation not found, incomplete strategy
% 18.08/3.48 % (1495173)Time elapsed: 0.007 s
% 18.08/3.48 % (1495173)Peak memory usage: 89 MB
% 18.08/3.48 % (1495173)Instructions burned: 9 (million)
% 18.08/3.48 % (1495176)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=3234062703:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.08/3.48 % (1495178)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=113905143:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.08/3.48 % (1495178)Refutation not found, incomplete strategy
% 18.08/3.48 % (1495178)------------------------------
% 18.08/3.48 % (1495178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.48 % (1495178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.48 % (1495178)CaDiCaL version: 2.1.3
% 18.08/3.48 % (1495178)Termination reason: Refutation not found, incomplete strategy
% 18.08/3.48 % (1495178)Time elapsed: 0.004 s
% 18.08/3.48 % (1495178)Peak memory usage: 88 MB
% 18.08/3.48 % (1495178)Instructions burned: 5 (million)
% 18.08/3.48 % (1495176)Instruction limit reached!
% 18.08/3.48 % (1495176)------------------------------
% 18.08/3.48 % (1495176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.48 % (1495176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.48 % (1495176)CaDiCaL version: 2.1.3
% 18.08/3.48 % (1495176)Termination reason: Instruction limit
% 18.08/3.48 % (1495176)Termination phase: Saturation
% 18.08/3.48 % (1495176)Time elapsed: 0.078 s
% 18.08/3.48 % (1495176)Peak memory usage: 92 MB
% 18.08/3.48 % (1495176)Instructions burned: 251 (million)
% 18.08/3.48 % (1495172)------------------------------
% 18.08/3.48 % (1495172)------------------------------
% 18.08/3.48 % (1495173)------------------------------
% 18.08/3.48 % (1495173)------------------------------
% 18.08/3.48 % (1495181)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4098782179:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.08/3.48 % (1495182)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=384807794:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.08/3.48 % (1495183)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4020707377:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.08/3.48 % (1495178)------------------------------
% 18.08/3.48 % (1495178)------------------------------
% 18.08/3.48 % (1495182)Instruction limit reached!
% 18.08/3.48 % (1495182)------------------------------
% 18.08/3.48 % (1495182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.48 % (1495182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.48 % (1495182)CaDiCaL version: 2.1.3
% 18.08/3.48 % (1495182)Termination reason: Instruction limit
% 18.08/3.48 % (1495182)Termination phase: Saturation
% 18.08/3.48 % (1495182)Time elapsed: 0.073 s
% 18.08/3.48 % (1495182)Peak memory usage: 91 MB
% 18.08/3.48 % (1495182)Instructions burned: 114 (million)
% 18.08/3.48 % (1495183)Instruction limit reached!
% 18.08/3.48 % (1495183)------------------------------
% 28.80/5.03 % (1495183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495183)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495183)Termination reason: Instruction limit
% 28.80/5.03 % (1495183)Termination phase: Saturation
% 28.80/5.03 % (1495183)Time elapsed: 0.067 s
% 28.80/5.03 % (1495183)Peak memory usage: 89 MB
% 28.80/5.03 % (1495183)Instructions burned: 129 (million)
% 28.80/5.03 % (1495187)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2481159948:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 28.80/5.03 % (1495188)lrs+10_1_sil=8000:sp=occurrence:random_seed=2431410441:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 28.80/5.03 % (1495187)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495187)------------------------------
% 28.80/5.03 % (1495187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495187)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495187)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495187)Time elapsed: 0.054 s
% 28.80/5.03 % (1495187)Peak memory usage: 89 MB
% 28.80/5.03 % (1495187)Instructions burned: 92 (million)
% 28.80/5.03 % (1495189)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=70466870:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 28.80/5.03 % (1495189)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495189)------------------------------
% 28.80/5.03 % (1495189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495189)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495189)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495189)Time elapsed: 0.006 s
% 28.80/5.03 % (1495189)Peak memory usage: 88 MB
% 28.80/5.03 % (1495189)Instructions burned: 9 (million)
% 28.80/5.03 % (1495187)------------------------------
% 28.80/5.03 % (1495187)------------------------------
% 28.80/5.03 % (1495189)------------------------------
% 28.80/5.03 % (1495189)------------------------------
% 28.80/5.03 % (1495193)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1469933208:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 28.80/5.03 % (1495194)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=578723996:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 28.80/5.03 % (1495188)Instruction limit reached!
% 28.80/5.03 % (1495188)------------------------------
% 28.80/5.03 % (1495188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495188)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495188)Termination reason: Instruction limit
% 28.80/5.03 % (1495188)Termination phase: Saturation
% 28.80/5.03 % (1495188)Time elapsed: 0.473 s
% 28.80/5.03 % (1495188)Peak memory usage: 96 MB
% 28.80/5.03 % (1495188)Instructions burned: 907 (million)
% 28.80/5.03 % (1495181)Instruction limit reached!
% 28.80/5.03 % (1495181)------------------------------
% 28.80/5.03 % (1495181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495181)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495181)Termination reason: Instruction limit
% 28.80/5.03 % (1495181)Termination phase: Saturation
% 28.80/5.03 % (1495181)Time elapsed: 0.814 s
% 28.80/5.03 % (1495181)Peak memory usage: 141 MB
% 28.80/5.03 % (1495181)Instructions burned: 2352 (million)
% 28.80/5.03 % (1495194)Instruction limit reached!
% 28.80/5.03 % (1495194)------------------------------
% 28.80/5.03 % (1495194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495194)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495194)Termination reason: Instruction limit
% 28.80/5.03 % (1495194)Termination phase: Saturation
% 28.80/5.03 % (1495194)Time elapsed: 0.079 s
% 28.80/5.03 % (1495194)Peak memory usage: 91 MB
% 28.80/5.03 % (1495194)Instructions burned: 135 (million)
% 28.80/5.03 % (1495197)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3657377744:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 28.80/5.03 % (1495197)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495197)------------------------------
% 28.80/5.03 % (1495197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495197)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495197)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495197)Time elapsed: 0.006 s
% 28.80/5.03 % (1495197)Peak memory usage: 88 MB
% 28.80/5.03 % (1495197)Instructions burned: 9 (million)
% 28.80/5.03 % (1495198)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=84445981:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 28.80/5.03 % (1495199)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=1091619170:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 28.80/5.03 % (1495199)Instruction limit reached!
% 28.80/5.03 % (1495199)------------------------------
% 28.80/5.03 % (1495199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495199)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495199)Termination reason: Instruction limit
% 28.80/5.03 % (1495199)Termination phase: Saturation
% 28.80/5.03 % (1495199)Time elapsed: 0.080 s
% 28.80/5.03 % (1495199)Peak memory usage: 91 MB
% 28.80/5.03 % (1495199)Instructions burned: 126 (million)
% 28.80/5.03 % (1495197)------------------------------
% 28.80/5.03 % (1495197)------------------------------
% 28.80/5.03 % (1495203)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=70837456:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 28.80/5.03 % (1495203)Instruction limit reached!
% 28.80/5.03 % (1495203)------------------------------
% 28.80/5.03 % (1495203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495203)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495203)Termination reason: Instruction limit
% 28.80/5.03 % (1495203)Termination phase: Saturation
% 28.80/5.03 % (1495203)Time elapsed: 0.080 s
% 28.80/5.03 % (1495203)Peak memory usage: 90 MB
% 28.80/5.03 % (1495203)Instructions burned: 134 (million)
% 28.80/5.03 % (1495204)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1628154351:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 28.80/5.03 % (1495204)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495204)------------------------------
% 28.80/5.03 % (1495204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495204)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495204)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495204)Time elapsed: 0.002 s
% 28.80/5.03 % (1495204)Peak memory usage: 88 MB
% 28.80/5.03 % (1495204)Instructions burned: 2 (million)
% 28.80/5.03 % (1495206)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4034067133:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 28.80/5.03 % (1495206)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495206)------------------------------
% 28.80/5.03 % (1495206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495206)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495206)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495206)Time elapsed: 0.005 s
% 28.80/5.03 % (1495206)Peak memory usage: 88 MB
% 28.80/5.03 % (1495206)Instructions burned: 6 (million)
% 28.80/5.03 % (1495204)------------------------------
% 28.80/5.03 % (1495204)------------------------------
% 28.80/5.03 % (1495206)------------------------------
% 28.80/5.03 % (1495206)------------------------------
% 28.80/5.03 % (1495209)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=909140497:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 28.80/5.03 % (1495210)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3786451621:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 28.80/5.03 % (1495210)Instruction limit reached!
% 28.80/5.03 % (1495210)------------------------------
% 28.80/5.03 % (1495210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495210)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495210)Termination reason: Instruction limit
% 28.80/5.03 % (1495210)Termination phase: Saturation
% 28.80/5.03 % (1495210)Time elapsed: 0.082 s
% 28.80/5.03 % (1495210)Peak memory usage: 91 MB
% 28.80/5.03 % (1495210)Instructions burned: 150 (million)
% 28.80/5.03 % (1495213)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=961531902:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 28.80/5.03 % (1495193)Instruction limit reached!
% 28.80/5.03 % (1495193)------------------------------
% 28.80/5.03 % (1495193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495193)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495193)Termination reason: Instruction limit
% 28.80/5.03 % (1495193)Termination phase: Saturation
% 28.80/5.03 % (1495193)Time elapsed: 1.695 s
% 28.80/5.03 % (1495193)Peak memory usage: 144 MB
% 28.80/5.03 % (1495193)Instructions burned: 5205 (million)
% 28.80/5.03 % (1495215)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1982650050:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 28.80/5.03 % (1495215)Refutation not found, incomplete strategy
% 28.80/5.03 % (1495215)------------------------------
% 28.80/5.03 % (1495215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495215)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495215)Termination reason: Refutation not found, incomplete strategy
% 28.80/5.03 % (1495215)Time elapsed: 0.003 s
% 28.80/5.03 % (1495215)Peak memory usage: 89 MB
% 28.80/5.03 % (1495215)Instructions burned: 8 (million)
% 28.80/5.03 % (1495215)------------------------------
% 28.80/5.03 % (1495215)------------------------------
% 28.80/5.03 % (1495217)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3548523165:s2a=on:i=185:s2at=1.8:fdi=4_2965 on theBenchmark for (2965ds/185Mi)
% 28.80/5.03 % (1495217)Instruction limit reached!
% 28.80/5.03 % (1495217)------------------------------
% 28.80/5.03 % (1495217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495217)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495217)Termination reason: Instruction limit
% 28.80/5.03 % (1495217)Termination phase: Saturation
% 28.80/5.03 % (1495217)Time elapsed: 0.059 s
% 28.80/5.03 % (1495217)Peak memory usage: 92 MB
% 28.80/5.03 % (1495217)Instructions burned: 188 (million)
% 28.80/5.03 % (1495219)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=910006439:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2963 on theBenchmark for (2963ds/193Mi)
% 28.80/5.03 % (1495219)Instruction limit reached!
% 28.80/5.03 % (1495219)------------------------------
% 28.80/5.03 % (1495219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.80/5.03 % (1495219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.80/5.03 % (1495219)CaDiCaL version: 2.1.3
% 28.80/5.03 % (1495219)Termination reason: Instruction limit
% 28.80/5.03 % (1495219)Termination phase: Saturation
% 28.80/5.03 % (1495219)Time elapsed: 0.055 s
% 28.80/5.03 % (1495219)Peak memory usage: 90 MB
% 28.80/5.03 % (1495219)Instructions burned: 197 (million)
% 28.80/5.03 % (1495209)First to succeed.
% 28.80/5.03 % (1495209)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1495152"
% 28.80/5.03 % (1495221)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1753917938:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2962 on theBenchmark for (2962ds/4850Mi)
% 28.80/5.03 % (1495209)Refutation found. Thanks to Tanya!
% 28.80/5.03 % SZS status Theorem for theBenchmark
% 28.80/5.03 % SZS output start Proof for theBenchmark
% See solution above
% 30.15/5.22 % (1495209)------------------------------
% 30.15/5.22 % (1495209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.15/5.22 % (1495209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.15/5.22 % (1495209)CaDiCaL version: 2.1.3
% 30.15/5.22 % (1495209)Termination reason: Refutation
% 30.15/5.22 % (1495209)Time elapsed: 1.432 s
% 30.15/5.22 % (1495209)Peak memory usage: 139 MB
% 30.15/5.22 % (1495209)Instructions burned: 2171 (million)
% 30.15/5.22 % (1495209)------------------------------
% 30.15/5.22 % (1495209)------------------------------
% 30.15/5.22 % (1495152)Success in time 4.172 s
% 30.15/5.22 % Vampire exiting
%------------------------------------------------------------------------------