%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT333+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:47:02 AM UTC 2026
% Result : Theorem 10.14s 2.37s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 32
% Syntax : Number of formulae : 312 ( 31 unt; 15 def)
% Number of atoms : 1723 ( 155 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 2378 ( 967 ~;1198 |; 159 &)
% ( 16 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 14 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 331 ( 0 sgn 319 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> v13_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> v13_lattices(k23_filter_2(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[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/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f13,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) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> ( v13_lattices(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_lattices(X0,X1,X2) = X1
& k2_lattices(X0,X2,X1) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_lattices) ).
fof(f28,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/sandbox2/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f40,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f43,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f45,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/sandbox2/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(f55,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f74,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/sandbox2/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f95,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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f98,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m2_filter_2(X3,X0)
=> ( r2_hidden(X1,X3)
=> ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_filter_2) ).
fof(f100,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f104,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/sandbox2/benchmark/theBenchmark.p',t69_filter_2) ).
fof(f106,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( u1_struct_0(k23_filter_2(X0,X1)) = X1
& u2_lattices(k23_filter_2(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k23_filter_2(X0,X1)) = k1_realset1(u1_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_filter_2) ).
fof(f107,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/sandbox2/benchmark/theBenchmark.p',t74_filter_2) ).
fof(f123,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(k23_filter_2(X0,X1))
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f124,plain,
? [X0] :
( ? [X1] :
( ~ v13_lattices(k23_filter_2(X0,X1))
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f123]) ).
fof(f129,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(f130,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,[],[f129]) ).
fof(f139,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| 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,[],[f13]) ).
fof(f140,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| 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,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ( v13_lattices(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k2_lattices(X0,X1,X2) = X1
& k2_lattices(X0,X2,X1) = X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f142,plain,
! [X0] :
( ( v13_lattices(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k2_lattices(X0,X1,X2) = X1
& k2_lattices(X0,X2,X1) = X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f141]) ).
fof(f154,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,[],[f28]) ).
fof(f155,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,[],[f154]) ).
fof(f167,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f168]) ).
fof(f172,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,[],[f45]) ).
fof(f173,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,[],[f172]) ).
fof(f200,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,[],[f74]) ).
fof(f201,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,[],[f200]) ).
fof(f217,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,[],[f95]) ).
fof(f218,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,[],[f217]) ).
fof(f219,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(k4_lattices(X0,X1,X2),X3)
& r2_hidden(k4_lattices(X0,X2,X1),X3) )
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f223,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f222]) ).
fof(f228,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,[],[f104]) ).
fof(f229,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,[],[f228]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k23_filter_2(X0,X1)) = X1
& u2_lattices(k23_filter_2(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k23_filter_2(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k23_filter_2(X0,X1)) = X1
& u2_lattices(k23_filter_2(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k23_filter_2(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f231]) ).
fof(f233,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,[],[f107]) ).
fof(f234,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,[],[f233]) ).
fof(f237,definition,
! [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)) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f238,plain,
! [X0,X1] :
( sP0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(definition_folding,[],[f201,f237]) ).
fof(f241,plain,
( ~ v13_lattices(k23_filter_2(sK2,sK3))
& v13_lattices(sK2)
& m2_filter_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f124]) ).
fof(f242,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k2_lattices(X0,X1,X2) != X1
| k2_lattices(X0,X2,X1) != X1 )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k2_lattices(X0,X1,X2) = X1
& k2_lattices(X0,X2,X1) = X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(nnf_transformation,[],[f142]) ).
fof(f243,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k2_lattices(X0,X1,X2) != X1
| k2_lattices(X0,X2,X1) != X1 )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( ( k2_lattices(X0,X3,X4) = X3
& k2_lattices(X0,X4,X3) = X3 )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(rectify,[],[f242]) ).
fof(f244,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k2_lattices(X0,X1,sK4(X0,X1)) != X1
| k2_lattices(X0,sK4(X0,X1),X1) != X1 )
& m1_subset_1(sK4(X0,X1),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK5(X0),u1_struct_0(X0))
& ! [X4] :
( ( sK5(X0) = k2_lattices(X0,sK5(X0),X4)
& sK5(X0) = k2_lattices(X0,X4,sK5(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0))],[f243]) ).
fof(f250,plain,
! [X0] : m1_subset_1(sK11(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f55]) ).
fof(f255,plain,
! [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)) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f256,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k23_filter_2(X1,X0))
& v3_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v7_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& v10_lattices(k23_filter_2(X1,X0)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f255]) ).
fof(f275,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f276,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f277,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f278,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f279,plain,
v13_lattices(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f280,plain,
~ v13_lattices(k23_filter_2(sK2,sK3)),
inference(cnf_transformation,[],[f241]) ).
fof(f287,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f301,plain,
! [X0,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| sK5(X0) = k2_lattices(X0,sK5(X0),X4)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f302,plain,
! [X0] :
( m1_subset_1(sK5(X0),u1_struct_0(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f303,plain,
! [X0,X1] :
( m1_subset_1(sK4(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f304,plain,
! [X0,X1] :
( k2_lattices(X0,sK4(X0,X1),X1) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,X1,sK4(X0,X1)) != X1
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f313,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f322,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f323,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f324,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f326,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f341,plain,
! [X0] : m1_subset_1(sK11(X0),X0),
inference(cnf_transformation,[],[f250]) ).
fof(f374,plain,
! [X0,X1] :
( v6_lattices(k23_filter_2(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f378,plain,
! [X0,X1] :
( ~ v3_struct_0(k23_filter_2(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f379,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f218]) ).
fof(f441,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_lattices(X0,X2,X1),X3)
| ~ r2_hidden(X1,X3)
| ~ m2_filter_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f444,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f448,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| ~ m2_nat_lat(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f452,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| u1_struct_0(k23_filter_2(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f453,plain,
! [X2,X3,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(cnf_transformation,[],[f234]) ).
fof(f460,plain,
! [X3,X0,X1,X4,X5] :
( k4_lattices(k23_filter_2(X0,X1),X4,X5) = k4_lattices(X0,X4,X3)
| 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(X4,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f453]) ).
fof(f461,plain,
! [X0,X1,X4,X5] :
( ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X0,X1)))
| k4_lattices(k23_filter_2(X0,X1),X4,X5) = k4_lattices(X0,X4,X5)
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f460]) ).
fof(f462,definition,
sF32 = k23_filter_2(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f463,plain,
k23_filter_2(sK2,sK3) = sF32,
inference(reorient_equations,[],[f462]) ).
fof(f464,plain,
~ v13_lattices(sF32),
inference(definition_folding,[],[f280,f463]) ).
fof(f471,definition,
( spl33_1
<=> sP0(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f472,plain,
( sP0(sK3,sK2)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( ~ sP0(sK3,sK2)
| spl33_1 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f479,plain,
( m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| ~ m2_lattice4(sK3,sK2) ),
inference(superposition,[],[f313,f463]) ).
fof(f480,plain,
( m2_nat_lat(sF32,sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| ~ m2_lattice4(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f479,f277]) ).
fof(f481,plain,
( m2_nat_lat(sF32,sK2)
| ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| ~ m2_lattice4(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f480,f276]) ).
fof(f482,plain,
( m2_nat_lat(sF32,sK2)
| v1_xboole_0(sK3)
| ~ m2_lattice4(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f481,f275]) ).
fof(f484,definition,
( spl33_3
<=> m2_lattice4(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f485,plain,
( m2_lattice4(sK3,sK2)
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( ~ m2_lattice4(sK3,sK2)
| spl33_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f488,definition,
( spl33_4
<=> v1_xboole_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f489,plain,
( ~ v1_xboole_0(sK3)
| spl33_4 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( v1_xboole_0(sK3)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f492,definition,
( spl33_5
<=> m2_nat_lat(sF32,sK2) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f494,plain,
( m2_nat_lat(sF32,sK2)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f495,plain,
( ~ spl33_3
| spl33_4
| spl33_5 ),
inference(avatar_split_clause,[],[f482,f492,f488,f484]) ).
fof(f501,plain,
l1_lattices(sK2),
inference(resolution,[],[f322,f275]) ).
fof(f505,plain,
( ~ v3_struct_0(sF32)
| ~ sP0(sK3,sK2) ),
inference(superposition,[],[f378,f463]) ).
fof(f506,plain,
( m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f323,f278]) ).
fof(f507,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_3 ),
inference(forward_subsumption_resolution,[],[f506,f486]) ).
fof(f508,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_3 ),
inference(forward_subsumption_resolution,[],[f507,f277]) ).
fof(f509,plain,
( ~ l3_lattices(sK2)
| spl33_3 ),
inference(forward_subsumption_resolution,[],[f508,f276]) ).
fof(f510,plain,
( $false
| spl33_3 ),
inference(forward_subsumption_resolution,[],[f509,f275]) ).
fof(f511,plain,
spl33_3,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f514,plain,
( v1_xboole_0(sK3)
| sK3 = u1_struct_0(k23_filter_2(sK2,sK3))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3 ),
inference(resolution,[],[f452,f485]) ).
fof(f515,plain,
( ~ v1_xboole_0(sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f324,f278]) ).
fof(f516,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f515,f490]) ).
fof(f517,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f516,f277]) ).
fof(f518,plain,
( ~ l3_lattices(sK2)
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f517,f276]) ).
fof(f519,plain,
( $false
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f518,f275]) ).
fof(f520,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f523,plain,
( sK3 = u1_struct_0(k23_filter_2(sK2,sK3))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f514,f489]) ).
fof(f526,plain,
( sK3 = u1_struct_0(k23_filter_2(sK2,sK3))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f523,f277]) ).
fof(f529,plain,
( sK3 = u1_struct_0(k23_filter_2(sK2,sK3))
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f526,f276]) ).
fof(f532,plain,
( sK3 = u1_struct_0(k23_filter_2(sK2,sK3))
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f529,f275]) ).
fof(f535,plain,
( sK3 = u1_struct_0(sF32)
| ~ spl33_3
| spl33_4 ),
inference(forward_demodulation,[],[f532,f463]) ).
fof(f538,plain,
( ! [X0] :
( m1_subset_1(sK4(sF32,X0),sK3)
| ~ m1_subset_1(X0,sK3)
| v13_lattices(sF32)
| v3_struct_0(sF32)
| ~ l1_lattices(sF32) )
| ~ spl33_3
| spl33_4 ),
inference(superposition,[],[f303,f535]) ).
fof(f541,plain,
( ! [X0] :
( m1_subset_1(sK4(sF32,X0),sK3)
| ~ m1_subset_1(X0,sK3)
| v3_struct_0(sF32)
| ~ l1_lattices(sF32) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f538,f464]) ).
fof(f543,definition,
( spl33_6
<=> l3_lattices(sF32) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f544,plain,
( l3_lattices(sF32)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( ~ l3_lattices(sF32)
| spl33_6 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl33_7
<=> v3_struct_0(sF32) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f548,plain,
( ~ v3_struct_0(sF32)
| spl33_7 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f555,definition,
( spl33_9
<=> l1_lattices(sF32) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f556,plain,
( l1_lattices(sF32)
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( ~ l1_lattices(sF32)
| spl33_9 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl33_10
<=> ! [X0] :
( m1_subset_1(sK4(sF32,X0),sK3)
| ~ m1_subset_1(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0] :
( m1_subset_1(sK4(sF32,X0),sK3)
| ~ m1_subset_1(X0,sK3) )
| ~ spl33_10 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( ~ spl33_9
| spl33_7
| spl33_10
| ~ spl33_3
| spl33_4 ),
inference(avatar_split_clause,[],[f541,f488,f484,f559,f547,f555]) ).
fof(f567,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| sP0(sK3,sK2)
| ~ spl33_3 ),
inference(resolution,[],[f379,f485]) ).
fof(f568,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| sP0(sK3,sK2)
| ~ spl33_3 ),
inference(forward_subsumption_resolution,[],[f567,f277]) ).
fof(f569,plain,
( ~ l3_lattices(sK2)
| v1_xboole_0(sK3)
| sP0(sK3,sK2)
| ~ spl33_3 ),
inference(forward_subsumption_resolution,[],[f568,f276]) ).
fof(f570,plain,
( v1_xboole_0(sK3)
| sP0(sK3,sK2)
| ~ spl33_3 ),
inference(forward_subsumption_resolution,[],[f569,f275]) ).
fof(f571,plain,
( sP0(sK3,sK2)
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f570,f489]) ).
fof(f572,plain,
( $false
| spl33_1
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f571,f473]) ).
fof(f573,plain,
( spl33_1
| ~ spl33_3
| spl33_4 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( ~ v3_struct_0(sF32)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f505,f472]) ).
fof(f575,plain,
( ~ spl33_7
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f574,f471,f547]) ).
fof(f578,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,sK3)
| ~ m2_nat_lat(sF32,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| ~ spl33_3
| spl33_4 ),
inference(superposition,[],[f448,f535]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ m2_nat_lat(sF32,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sK5(X1) = k2_lattices(X1,sK5(X1),X0)
| ~ v13_lattices(X1)
| v3_struct_0(X1)
| ~ l1_lattices(X1) )
| ~ spl33_3
| spl33_4 ),
inference(resolution,[],[f578,f301]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ m2_nat_lat(sF32,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sK5(X1) = k2_lattices(X1,sK5(X1),X0)
| ~ v13_lattices(X1)
| ~ l1_lattices(X1) )
| ~ spl33_3
| spl33_4 ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f590,plain,
( ! [X0,X1] :
( ~ m2_nat_lat(sF32,X1)
| ~ m1_subset_1(X0,sK3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sK5(X1) = k2_lattices(X1,sK5(X1),X0)
| ~ v13_lattices(X1) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f587,f322]) ).
fof(f634,definition,
( spl33_13
<=> m1_subset_1(sK5(sK2),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f635,plain,
( m1_subset_1(sK5(sK2),sK3)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ m1_subset_1(sK5(sK2),sK3)
| spl33_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f655,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| v1_xboole_0(sK3)
| ~ m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f461,f463]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f655,f489]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f656,f485]) ).
fof(f658,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f657,f277]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f658,f276]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sF32))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2)) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f659,f275]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sF32))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2)) )
| ~ spl33_3
| spl33_4 ),
inference(forward_demodulation,[],[f660,f535]) ).
fof(f662,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3) )
| ~ spl33_3
| spl33_4 ),
inference(forward_demodulation,[],[f661,f535]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X1,sK3)
| ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4 ),
inference(resolution,[],[f662,f578]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3)
| ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4 ),
inference(duplicate_literal_removal,[],[f665]) ).
fof(f668,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f667,f494]) ).
fof(f669,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f668,f277]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,sK3)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f669,f276]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| k4_lattices(sK2,X1,X0) = k4_lattices(sF32,X1,X0)
| ~ m1_subset_1(X0,sK3)
| ~ m1_subset_1(X1,sK3) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f670,f275]) ).
fof(f674,plain,
( ! [X0,X1] :
( k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| ~ m1_subset_1(X1,sK3)
| ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f671,f578]) ).
fof(f676,plain,
( ! [X0,X1] :
( k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(duplicate_literal_removal,[],[f674]) ).
fof(f677,plain,
( ! [X0,X1] :
( k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f676,f494]) ).
fof(f678,plain,
( ! [X0,X1] :
( k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f677,f277]) ).
fof(f679,plain,
( ! [X0,X1] :
( k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f678,f276]) ).
fof(f680,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| k4_lattices(sK2,X0,X1) = k4_lattices(sF32,X0,X1)
| ~ m1_subset_1(X0,sK3) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f679,f275]) ).
fof(f687,plain,
! [X0] :
( r2_hidden(sK11(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f444,f341]) ).
fof(f709,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,X1,sK4(X0,X2)) = k4_lattices(X0,X1,sK4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(resolution,[],[f437,f303]) ).
fof(f712,plain,
( ! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,sK3)
| ~ m2_nat_lat(sF32,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(resolution,[],[f437,f578]) ).
fof(f714,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| v3_struct_0(sF32)
| ~ v6_lattices(sF32)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,X0) = k4_lattices(sF32,X1,X0) )
| ~ spl33_3
| spl33_4 ),
inference(superposition,[],[f437,f535]) ).
fof(f715,plain,
( ! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,sK3)
| ~ m2_nat_lat(sF32,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(duplicate_literal_removal,[],[f712]) ).
fof(f718,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,X1,sK4(X0,X2)) = k4_lattices(X0,X1,sK4(X0,X2))
| v3_struct_0(X0)
| v13_lattices(X0) ),
inference(duplicate_literal_removal,[],[f709]) ).
fof(f719,plain,
( ! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,sK3)
| ~ m2_nat_lat(sF32,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f715,f287]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,sK3)
| ~ m2_nat_lat(sF32,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f719,f322]) ).
fof(f729,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),X0)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f590,f494]) ).
fof(f730,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),X0)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f729,f277]) ).
fof(f731,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| ~ l3_lattices(sK2)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),X0)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f730,f276]) ).
fof(f732,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),X0)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f731,f275]) ).
fof(f733,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),X0) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f732,f279]) ).
fof(f734,plain,
( sK5(sK2) = k2_lattices(sK2,sK5(sK2),sK11(sK3))
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f733,f341]) ).
fof(f818,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| v3_struct_0(sF32)
| ~ v6_lattices(sF32)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k4_lattices(sF32,X1,X0) = k4_lattices(sF32,X0,X1) )
| ~ spl33_3
| spl33_4 ),
inference(superposition,[],[f299,f535]) ).
fof(f889,plain,
( v6_lattices(sF32)
| ~ sP0(sK3,sK2) ),
inference(superposition,[],[f374,f463]) ).
fof(f890,plain,
( v6_lattices(sF32)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f889,f472]) ).
fof(f1158,plain,
( l3_lattices(sF32)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_5 ),
inference(resolution,[],[f326,f494]) ).
fof(f1160,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_5
| spl33_6 ),
inference(forward_subsumption_resolution,[],[f1158,f545]) ).
fof(f1161,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_5
| spl33_6 ),
inference(forward_subsumption_resolution,[],[f1160,f277]) ).
fof(f1162,plain,
( ~ l3_lattices(sK2)
| ~ spl33_5
| spl33_6 ),
inference(forward_subsumption_resolution,[],[f1161,f276]) ).
fof(f1163,plain,
( $false
| ~ spl33_5
| spl33_6 ),
inference(forward_subsumption_resolution,[],[f1162,f275]) ).
fof(f1164,plain,
( ~ spl33_5
| spl33_6 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1229,plain,
( l1_lattices(sF32)
| ~ spl33_6 ),
inference(resolution,[],[f544,f322]) ).
fof(f1233,plain,
( $false
| ~ spl33_6
| spl33_9 ),
inference(forward_subsumption_resolution,[],[f1229,f557]) ).
fof(f1234,plain,
( ~ spl33_6
| spl33_9 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1244,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ v6_lattices(sF32)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,X0) = k4_lattices(sF32,X1,X0) )
| ~ spl33_3
| spl33_4
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f714,f548]) ).
fof(f1248,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ v6_lattices(sF32)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k4_lattices(sF32,X1,X0) = k4_lattices(sF32,X0,X1) )
| ~ spl33_3
| spl33_4
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f818,f548]) ).
fof(f1257,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,X0) = k4_lattices(sF32,X1,X0) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f1244,f890]) ).
fof(f1261,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k4_lattices(sF32,X1,X0) = k4_lattices(sF32,X0,X1) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f1248,f890]) ).
fof(f1267,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| k2_lattices(sF32,X1,X0) = k4_lattices(sF32,X1,X0) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9 ),
inference(forward_subsumption_resolution,[],[f1257,f556]) ).
fof(f1268,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| k4_lattices(sF32,X1,X0) = k4_lattices(sF32,X0,X1) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9 ),
inference(forward_subsumption_resolution,[],[f1261,f556]) ).
fof(f1274,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| sK5(sK2) = k2_lattices(sK2,sK5(sK2),sK4(sF32,X0)) )
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10 ),
inference(resolution,[],[f560,f733]) ).
fof(f1276,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| k4_lattices(sK2,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0))
| ~ m1_subset_1(X0,sK3) )
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10 ),
inference(resolution,[],[f560,f680]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,sK4(sF32,X1),X0) = k4_lattices(sF32,sK4(sF32,X1),X0)
| ~ m1_subset_1(X0,sK3) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10 ),
inference(resolution,[],[f1267,f560]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| k4_lattices(sF32,sK4(sF32,X1),X0) = k4_lattices(sF32,X0,sK4(sF32,X1))
| ~ m1_subset_1(X0,sK3) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10 ),
inference(resolution,[],[f1268,f560]) ).
fof(f2496,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ v6_lattices(sF32)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0))
| v3_struct_0(sF32)
| v13_lattices(sF32) )
| ~ spl33_3
| spl33_4 ),
inference(superposition,[],[f718,f535]) ).
fof(f2507,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ l1_lattices(sF32)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0))
| v3_struct_0(sF32)
| v13_lattices(sF32) )
| ~ spl33_1
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f2496,f890]) ).
fof(f2512,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0))
| v3_struct_0(sF32)
| v13_lattices(sF32) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_9 ),
inference(forward_subsumption_resolution,[],[f2507,f556]) ).
fof(f2517,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sK3)
| ~ m1_subset_1(X1,sK3)
| k2_lattices(sF32,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0))
| v13_lattices(sF32) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9 ),
inference(forward_subsumption_resolution,[],[f2512,f548]) ).
fof(f2518,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sK3)
| ~ m1_subset_1(X0,sK3)
| k2_lattices(sF32,X1,sK4(sF32,X0)) = k4_lattices(sF32,X1,sK4(sF32,X0)) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9 ),
inference(forward_subsumption_resolution,[],[f2517,f464]) ).
fof(f3515,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| k2_lattices(X0,sK5(X0),X1) = k4_lattices(X0,sK5(X0),X1)
| ~ m1_subset_1(X1,sK3)
| ~ m2_nat_lat(sF32,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(resolution,[],[f720,f302]) ).
fof(f3530,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| k2_lattices(X0,sK5(X0),X1) = k4_lattices(X0,sK5(X0),X1)
| ~ m1_subset_1(X1,sK3)
| ~ m2_nat_lat(sF32,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(duplicate_literal_removal,[],[f3515]) ).
fof(f3537,plain,
( ! [X0,X1] :
( ~ m2_nat_lat(sF32,X0)
| k2_lattices(X0,sK5(X0),X1) = k4_lattices(X0,sK5(X0),X1)
| ~ m1_subset_1(X1,sK3)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v13_lattices(X0) )
| ~ spl33_3
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f3530,f322]) ).
fof(f3548,plain,
( ! [X0] :
( k4_lattices(sK2,sK5(sK2),X0) = k2_lattices(sK2,sK5(sK2),X0)
| ~ m1_subset_1(X0,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f3537,f494]) ).
fof(f3549,plain,
( ! [X0] :
( k4_lattices(sK2,sK5(sK2),X0) = k2_lattices(sK2,sK5(sK2),X0)
| ~ m1_subset_1(X0,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3548,f277]) ).
fof(f3550,plain,
( ! [X0] :
( k4_lattices(sK2,sK5(sK2),X0) = k2_lattices(sK2,sK5(sK2),X0)
| ~ m1_subset_1(X0,sK3)
| ~ l3_lattices(sK2)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3549,f276]) ).
fof(f3551,plain,
( ! [X0] :
( k4_lattices(sK2,sK5(sK2),X0) = k2_lattices(sK2,sK5(sK2),X0)
| ~ m1_subset_1(X0,sK3)
| ~ v13_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3550,f275]) ).
fof(f3552,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,sK5(sK2),X0) = k2_lattices(sK2,sK5(sK2),X0) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3551,f279]) ).
fof(f3561,plain,
( k2_lattices(sK2,sK5(sK2),sK11(sK3)) = k4_lattices(sK2,sK5(sK2),sK11(sK3))
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f3552,f341]) ).
fof(f3563,plain,
( sK5(sK2) = k4_lattices(sK2,sK5(sK2),sK11(sK3))
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_demodulation,[],[f3561,f734]) ).
fof(f3565,plain,
( ! [X0] :
( r2_hidden(sK5(sK2),X0)
| ~ r2_hidden(sK11(sK3),X0)
| ~ m2_filter_2(X0,sK2)
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK3),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(superposition,[],[f442,f3563]) ).
fof(f3567,plain,
( ! [X0] :
( r2_hidden(sK5(sK2),X0)
| ~ r2_hidden(sK11(sK3),X0)
| ~ m2_filter_2(X0,sK2)
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK3),u1_struct_0(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3565,f277]) ).
fof(f3568,plain,
( ! [X0] :
( r2_hidden(sK5(sK2),X0)
| ~ r2_hidden(sK11(sK3),X0)
| ~ m2_filter_2(X0,sK2)
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK3),u1_struct_0(sK2))
| ~ l3_lattices(sK2) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3567,f276]) ).
fof(f3569,plain,
( ! [X0] :
( r2_hidden(sK5(sK2),X0)
| ~ r2_hidden(sK11(sK3),X0)
| ~ m2_filter_2(X0,sK2)
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK3),u1_struct_0(sK2)) )
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f3568,f275]) ).
fof(f3571,definition,
( spl33_34
<=> m1_subset_1(sK11(sK3),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f3573,plain,
( ~ m1_subset_1(sK11(sK3),u1_struct_0(sK2))
| spl33_34 ),
inference(avatar_component_clause,[],[f3571]) ).
fof(f3575,definition,
( spl33_35
<=> m1_subset_1(sK5(sK2),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_35])],[avatar_definition]) ).
fof(f3577,plain,
( ~ m1_subset_1(sK5(sK2),u1_struct_0(sK2))
| spl33_35 ),
inference(avatar_component_clause,[],[f3575]) ).
fof(f3579,definition,
( spl33_36
<=> ! [X0] :
( r2_hidden(sK5(sK2),X0)
| ~ m2_filter_2(X0,sK2)
| ~ r2_hidden(sK11(sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl33_36])],[avatar_definition]) ).
fof(f3580,plain,
( ! [X0] :
( ~ r2_hidden(sK11(sK3),X0)
| ~ m2_filter_2(X0,sK2)
| r2_hidden(sK5(sK2),X0) )
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f3579]) ).
fof(f3581,plain,
( ~ spl33_34
| ~ spl33_35
| spl33_36
| ~ spl33_3
| spl33_4
| ~ spl33_5 ),
inference(avatar_split_clause,[],[f3569,f492,f488,f484,f3579,f3575,f3571]) ).
fof(f3584,plain,
( ~ m1_subset_1(sK11(sK3),sK3)
| ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4
| spl33_34 ),
inference(resolution,[],[f3573,f578]) ).
fof(f3585,plain,
( ~ m2_nat_lat(sF32,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3584,f341]) ).
fof(f3587,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3585,f494]) ).
fof(f3589,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3587,f277]) ).
fof(f3591,plain,
( ~ l3_lattices(sK2)
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3589,f276]) ).
fof(f3594,plain,
( $false
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f3591,f275]) ).
fof(f3595,plain,
( ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(avatar_contradiction_clause,[],[f3594]) ).
fof(f3597,plain,
( ~ v13_lattices(sK2)
| v3_struct_0(sK2)
| ~ l1_lattices(sK2)
| spl33_35 ),
inference(resolution,[],[f3577,f302]) ).
fof(f3601,plain,
( v3_struct_0(sK2)
| ~ l1_lattices(sK2)
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f3597,f279]) ).
fof(f3603,plain,
( ~ l1_lattices(sK2)
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f3601,f277]) ).
fof(f3605,plain,
( $false
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f3603,f501]) ).
fof(f3606,plain,
spl33_35,
inference(avatar_contradiction_clause,[],[f3605]) ).
fof(f3832,plain,
( ~ m2_filter_2(sK3,sK2)
| r2_hidden(sK5(sK2),sK3)
| v1_xboole_0(sK3)
| ~ spl33_36 ),
inference(resolution,[],[f3580,f687]) ).
fof(f3836,plain,
( r2_hidden(sK5(sK2),sK3)
| v1_xboole_0(sK3)
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f3832,f278]) ).
fof(f3837,plain,
( r2_hidden(sK5(sK2),sK3)
| spl33_4
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f3836,f489]) ).
fof(f3842,plain,
( m1_subset_1(sK5(sK2),sK3)
| spl33_4
| ~ spl33_36 ),
inference(resolution,[],[f3837,f441]) ).
fof(f3843,plain,
( $false
| spl33_4
| spl33_13
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f3842,f636]) ).
fof(f3844,plain,
( spl33_4
| spl33_13
| ~ spl33_36 ),
inference(avatar_contradiction_clause,[],[f3843]) ).
fof(f3861,plain,
( sK5(sK2) = k2_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f635,f1274]) ).
fof(f3863,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sK2,sK5(sK2),sK4(sF32,X0)) = k4_lattices(sF32,sK5(sK2),sK4(sF32,X0)) )
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f635,f1276]) ).
fof(f3869,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| k2_lattices(sF32,sK4(sF32,sK5(sK2)),X0) = k4_lattices(sF32,sK4(sF32,sK5(sK2)),X0) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f635,f1298]) ).
fof(f3871,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sF32,sK4(sF32,sK5(sK2)),X0) = k4_lattices(sF32,X0,sK4(sF32,sK5(sK2))) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f635,f1302]) ).
fof(f3916,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sK3)
| k4_lattices(sF32,sK5(sK2),sK4(sF32,X0)) = k2_lattices(sF32,sK5(sK2),sK4(sF32,X0)) )
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_13 ),
inference(resolution,[],[f635,f2518]) ).
fof(f4092,plain,
( k2_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2)) = k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f3869,f635]) ).
fof(f4146,plain,
( k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2)) = k4_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f3871,f635]) ).
fof(f4180,plain,
( k4_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2))) = k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_13 ),
inference(resolution,[],[f3916,f635]) ).
fof(f4202,plain,
( k4_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2))) = k4_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10
| ~ spl33_13 ),
inference(resolution,[],[f3863,f635]) ).
fof(f4308,definition,
( spl33_37
<=> m1_subset_1(sK4(sF32,sK5(sK2)),sK3) ),
introduced(definition,[new_symbols(definition,[spl33_37])],[avatar_definition]) ).
fof(f4309,plain,
( m1_subset_1(sK4(sF32,sK5(sK2)),sK3)
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4310,plain,
( ~ m1_subset_1(sK4(sF32,sK5(sK2)),sK3)
| spl33_37 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4325,plain,
( ~ m1_subset_1(sK5(sK2),sK3)
| ~ spl33_10
| spl33_37 ),
inference(resolution,[],[f4310,f560]) ).
fof(f4327,plain,
( $false
| ~ spl33_10
| ~ spl33_13
| spl33_37 ),
inference(forward_subsumption_resolution,[],[f4325,f635]) ).
fof(f4328,plain,
( ~ spl33_10
| ~ spl33_13
| spl33_37 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4409,plain,
( k2_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2))) = k4_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_37 ),
inference(resolution,[],[f4309,f3552]) ).
fof(f4437,plain,
( sK5(sK2) = k4_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_demodulation,[],[f4409,f3861]) ).
fof(f4909,plain,
( sK5(sK2) != k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| v13_lattices(sF32)
| v3_struct_0(sF32)
| ~ l1_lattices(sF32)
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(superposition,[],[f304,f4092]) ).
fof(f4912,plain,
( sK5(sK2) != k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| v3_struct_0(sF32)
| ~ l1_lattices(sF32)
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f4909,f464]) ).
fof(f4914,plain,
( sK5(sK2) != k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ l1_lattices(sF32)
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f4912,f548]) ).
fof(f4916,plain,
( sK5(sK2) != k4_lattices(sF32,sK4(sF32,sK5(sK2)),sK5(sK2))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f4914,f556]) ).
fof(f4918,plain,
( sK5(sK2) != k4_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(forward_demodulation,[],[f4916,f4146]) ).
fof(f4920,plain,
( sK5(sK2) != k4_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13 ),
inference(forward_demodulation,[],[f4918,f4202]) ).
fof(f4922,plain,
( ~ m1_subset_1(sK5(sK2),u1_struct_0(sF32))
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f4920,f4437]) ).
fof(f4923,plain,
( ~ m1_subset_1(sK5(sK2),sK3)
| sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_demodulation,[],[f4922,f535]) ).
fof(f4924,plain,
( sK5(sK2) != k2_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f4923,f635]) ).
fof(f4925,plain,
( sK5(sK2) != k4_lattices(sF32,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_demodulation,[],[f4924,f4180]) ).
fof(f4926,plain,
( sK5(sK2) != k4_lattices(sK2,sK5(sK2),sK4(sF32,sK5(sK2)))
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_demodulation,[],[f4925,f4202]) ).
fof(f4927,plain,
( $false
| ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f4926,f4437]) ).
fof(f4928,plain,
( ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(avatar_contradiction_clause,[],[f4927]) ).
cnf(s2,plain,
( ~ spl33_3
| spl33_4
| spl33_5 ),
inference(sat_conversion,[],[f495]) ).
cnf(s3,plain,
spl33_3,
inference(sat_conversion,[],[f511]) ).
cnf(s4,plain,
~ spl33_4,
inference(sat_conversion,[],[f520]) ).
cnf(s6,plain,
( ~ spl33_3
| spl33_4
| spl33_7
| ~ spl33_9
| spl33_10 ),
inference(sat_conversion,[],[f561]) ).
cnf(s7,plain,
( spl33_1
| ~ spl33_3
| spl33_4 ),
inference(sat_conversion,[],[f573]) ).
cnf(s8,plain,
( ~ spl33_1
| ~ spl33_7 ),
inference(sat_conversion,[],[f575]) ).
cnf(s17,plain,
( ~ spl33_5
| spl33_6 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s23,plain,
( ~ spl33_6
| spl33_9 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s31,plain,
( ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_34
| ~ spl33_35
| spl33_36 ),
inference(sat_conversion,[],[f3581]) ).
cnf(s33,plain,
( ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_34 ),
inference(sat_conversion,[],[f3595]) ).
cnf(s34,plain,
spl33_35,
inference(sat_conversion,[],[f3606]) ).
cnf(s35,plain,
( spl33_4
| spl33_13
| ~ spl33_36 ),
inference(sat_conversion,[],[f3844]) ).
cnf(s39,plain,
( ~ spl33_10
| ~ spl33_13
| spl33_37 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s44,plain,
( ~ spl33_1
| ~ spl33_3
| spl33_4
| ~ spl33_5
| spl33_7
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| ~ spl33_37 ),
inference(sat_conversion,[],[f4928]) ).
cnf(s45,plain,
( ~ spl33_3
| spl33_4
| ~ spl33_5
| ~ spl33_34
| spl33_36 ),
inference(rat,[],[s31,s34]) ).
cnf(s50,plain,
spl33_1,
inference(rat,[],[s7,s4,s3]) ).
cnf(s51,plain,
~ spl33_7,
inference(rat,[],[s8,s50]) ).
cnf(s52,plain,
spl33_5,
inference(rat,[],[s2,s4,s3]) ).
cnf(s53,plain,
spl33_6,
inference(rat,[],[s17,s52]) ).
cnf(s54,plain,
spl33_34,
inference(rat,[],[s33,s3,s4,s52]) ).
cnf(s55,plain,
spl33_9,
inference(rat,[],[s23,s53]) ).
cnf(s57,plain,
spl33_36,
inference(rat,[],[s45,s52,s3,s4,s54]) ).
cnf(s62,plain,
spl33_10,
inference(rat,[],[s6,s51,s3,s4,s55]) ).
cnf(s66,plain,
spl33_13,
inference(rat,[],[s35,s4,s57]) ).
cnf(s70,plain,
spl33_37,
inference(rat,[],[s39,s62,s66]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s44,s62,s55,s52,s51,s50,s3,s4,s70,s66]) ).
fof(f4929,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT333+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:45:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.14/2.37 % (2912936)Detected formulas, will run a generic FOF schedule.
% 10.14/2.37 % (2912946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1842482959:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.14/2.37 % (2912947)dis-21_1_sil=8000:lcm=predicate:random_seed=1735074999: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)
% 10.14/2.37 % (2912944)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2642281313:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.14/2.37 % (2912942)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=3116602436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.14/2.37 % (2912943)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=3016461962:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.14/2.37 % (2912941)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=2507819995:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.14/2.37 % (2912945)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2358692846:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.14/2.37 % (2912944)Refutation not found, incomplete strategy
% 10.14/2.37 % (2912944)------------------------------
% 10.14/2.37 % (2912944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912944)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912944)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.37 % (2912944)Time elapsed: 0.002 s
% 10.14/2.37 % (2912944)Peak memory usage: 88 MB
% 10.14/2.37 % (2912944)Instructions burned: 1 (million)
% 10.14/2.37 % (2912946)Instruction limit reached!
% 10.14/2.37 % (2912946)------------------------------
% 10.14/2.37 % (2912946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912946)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912946)Termination reason: Instruction limit
% 10.14/2.37 % (2912946)Termination phase: Saturation
% 10.14/2.37 % (2912946)Time elapsed: 0.053 s
% 10.14/2.37 % (2912946)Peak memory usage: 91 MB
% 10.14/2.37 % (2912946)Instructions burned: 142 (million)
% 10.14/2.37 % (2912945)Instruction limit reached!
% 10.14/2.37 % (2912945)------------------------------
% 10.14/2.37 % (2912945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912945)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912945)Termination reason: Instruction limit
% 10.14/2.37 % (2912945)Termination phase: Saturation
% 10.14/2.37 % (2912945)Time elapsed: 0.046 s
% 10.14/2.37 % (2912945)Peak memory usage: 88 MB
% 10.14/2.37 % (2912945)Instructions burned: 120 (million)
% 10.14/2.37 % (2912947)Instruction limit reached!
% 10.14/2.37 % (2912947)------------------------------
% 10.14/2.37 % (2912947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912947)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912947)Termination reason: Instruction limit
% 10.14/2.37 % (2912947)Termination phase: Saturation
% 10.14/2.37 % (2912947)Time elapsed: 0.073 s
% 10.14/2.37 % (2912947)Peak memory usage: 92 MB
% 10.14/2.37 % (2912947)Instructions burned: 129 (million)
% 10.14/2.37 % (2912955)lrs+10_1_sil=8000:sp=occurrence:random_seed=1143890719:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.14/2.37 % (2912956)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2526820249:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 10.14/2.37 % (2912956)Refutation not found, incomplete strategy
% 10.14/2.37 % (2912956)------------------------------
% 10.14/2.37 % (2912956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912956)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912956)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.37 % (2912956)Time elapsed: 0.002 s
% 10.14/2.37 % (2912956)Peak memory usage: 88 MB
% 10.14/2.37 % (2912956)Instructions burned: 4 (million)
% 10.14/2.37 % (2912957)lrs+1011_1_sil=32000:sp=occurrence:random_seed=864597071:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.14/2.37 % (2912944)------------------------------
% 10.14/2.37 % (2912944)------------------------------
% 10.14/2.37 % (2912955)Instruction limit reached!
% 10.14/2.37 % (2912955)------------------------------
% 10.14/2.37 % (2912955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912955)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912955)Termination reason: Instruction limit
% 10.14/2.37 % (2912955)Termination phase: Saturation
% 10.14/2.37 % (2912955)Time elapsed: 0.167 s
% 10.14/2.37 % (2912955)Peak memory usage: 91 MB
% 10.14/2.37 % (2912955)Instructions burned: 286 (million)
% 10.14/2.37 % (2912956)------------------------------
% 10.14/2.37 % (2912956)------------------------------
% 10.14/2.37 % (2912961)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=3113404853:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.14/2.37 % (2912957)Instruction limit reached!
% 10.14/2.37 % (2912957)------------------------------
% 10.14/2.37 % (2912957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912957)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912957)Termination reason: Instruction limit
% 10.14/2.37 % (2912957)Termination phase: Saturation
% 10.14/2.37 % (2912957)Time elapsed: 0.194 s
% 10.14/2.37 % (2912957)Peak memory usage: 91 MB
% 10.14/2.37 % (2912957)Instructions burned: 325 (million)
% 10.14/2.37 % (2912963)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3010630273:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.14/2.37 % (2912962)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1694039882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.14/2.37 % (2912962)Refutation not found, incomplete strategy
% 10.14/2.37 % (2912962)------------------------------
% 10.14/2.37 % (2912962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912962)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912962)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.37 % (2912962)Time elapsed: 0.004 s
% 10.14/2.37 % (2912962)Peak memory usage: 88 MB
% 10.14/2.37 % (2912962)Instructions burned: 5 (million)
% 10.14/2.37 % (2912965)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1562049634:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.14/2.37 % (2912961)Instruction limit reached!
% 10.14/2.37 % (2912961)------------------------------
% 10.14/2.37 % (2912961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912961)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912961)Termination reason: Instruction limit
% 10.14/2.37 % (2912961)Termination phase: Saturation
% 10.14/2.37 % (2912961)Time elapsed: 0.153 s
% 10.14/2.37 % (2912961)Peak memory usage: 93 MB
% 10.14/2.37 % (2912961)Instructions burned: 248 (million)
% 10.14/2.37 % (2912965)Instruction limit reached!
% 10.14/2.37 % (2912965)------------------------------
% 10.14/2.37 % (2912965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912965)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912965)Termination reason: Instruction limit
% 10.14/2.37 % (2912965)Termination phase: Saturation
% 10.14/2.37 % (2912965)Time elapsed: 0.076 s
% 10.14/2.37 % (2912965)Peak memory usage: 91 MB
% 10.14/2.37 % (2912965)Instructions burned: 114 (million)
% 10.14/2.37 % (2912969)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2156570440:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.14/2.37 % (2912962)------------------------------
% 10.14/2.37 % (2912962)------------------------------
% 10.14/2.37 % (2912970)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4188552286:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.14/2.37 % (2912969)Instruction limit reached!
% 10.14/2.37 % (2912969)------------------------------
% 10.14/2.37 % (2912969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912969)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912969)Termination reason: Instruction limit
% 10.14/2.37 % (2912969)Termination phase: Saturation
% 10.14/2.37 % (2912969)Time elapsed: 0.068 s
% 10.14/2.37 % (2912969)Peak memory usage: 89 MB
% 10.14/2.37 % (2912969)Instructions burned: 127 (million)
% 10.14/2.37 % (2912970)Refutation not found, incomplete strategy
% 10.14/2.37 % (2912970)------------------------------
% 10.14/2.37 % (2912970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912970)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912970)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.37 % (2912970)Time elapsed: 0.017 s
% 10.14/2.37 % (2912970)Peak memory usage: 89 MB
% 10.14/2.37 % (2912970)Instructions burned: 27 (million)
% 10.14/2.37 % (2912972)lrs+10_1_sil=8000:sp=occurrence:random_seed=2617151110:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.14/2.37 % (2912974)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3110804353:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.14/2.37 % (2912974)Refutation not found, incomplete strategy
% 10.14/2.37 % (2912974)------------------------------
% 10.14/2.37 % (2912974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912974)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912974)Termination reason: Refutation not found, incomplete strategy
% 10.14/2.37 % (2912974)Time elapsed: 0.006 s
% 10.14/2.37 % (2912974)Peak memory usage: 89 MB
% 10.14/2.37 % (2912974)Instructions burned: 9 (million)
% 10.14/2.37 % (2912970)------------------------------
% 10.14/2.37 % (2912970)------------------------------
% 10.14/2.37 % (2912974)------------------------------
% 10.14/2.37 % (2912974)------------------------------
% 10.14/2.37 % (2912977)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2139638622:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.14/2.37 % (2912963)First to succeed.
% 10.14/2.37 % (2912963)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2912936"
% 10.14/2.37 % (2912978)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2318331655:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.14/2.37 % (2912978)Instruction limit reached!
% 10.14/2.37 % (2912978)------------------------------
% 10.14/2.37 % (2912978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912978)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912978)Termination reason: Instruction limit
% 10.14/2.37 % (2912978)Termination phase: Saturation
% 10.14/2.37 % (2912978)Time elapsed: 0.080 s
% 10.14/2.37 % (2912978)Peak memory usage: 91 MB
% 10.14/2.37 % (2912978)Instructions burned: 135 (million)
% 10.14/2.37 % (2912972)Instruction limit reached!
% 10.14/2.37 % (2912972)------------------------------
% 10.14/2.37 % (2912972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.14/2.37 % (2912972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.14/2.37 % (2912972)CaDiCaL version: 2.1.3
% 10.14/2.37 % (2912972)Termination reason: Instruction limit
% 10.14/2.37 % (2912972)Termination phase: Saturation
% 10.14/2.37 % (2912972)Time elapsed: 0.506 s
% 10.14/2.37 % (2912972)Peak memory usage: 98 MB
% 10.14/2.37 % (2912972)Instructions burned: 908 (million)
% 10.14/2.37 % (2912963)Refutation found. Thanks to Tanya!
% 10.14/2.37 % SZS status Theorem for theBenchmark
% 10.14/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/2.57 % (2912963)------------------------------
% 11.25/2.57 % (2912963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.57 % (2912963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.57 % (2912963)CaDiCaL version: 2.1.3
% 11.25/2.57 % (2912963)Termination reason: Refutation
% 11.25/2.57 % (2912963)Time elapsed: 0.794 s
% 11.25/2.57 % (2912963)Peak memory usage: 143 MB
% 11.25/2.57 % (2912963)Instructions burned: 2296 (million)
% 11.25/2.57 % (2912963)------------------------------
% 11.25/2.57 % (2912963)------------------------------
% 11.25/2.57 % (2912936)Success in time 1.513 s
% 11.25/2.57 % Vampire exiting
%------------------------------------------------------------------------------