%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT340+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 : n013.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 11:47:06 AM UTC 2026
% Result : Theorem 6.63s 1.99s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 39
% Syntax : Number of formulae : 333 ( 54 unt; 17 def)
% Number of atoms : 1464 ( 134 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1943 ( 812 ~; 895 |; 181 &)
% ( 21 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 10 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 348 ( 0 sgn 341 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k3_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) = k5_conlat_1(X0)
& k2_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) = k6_conlat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k3_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) = k5_conlat_1(X0)
& k2_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) = k6_conlat_1(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,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(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r3_lattice3(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r2_hidden(X3,X2)
=> r1_lattices(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
=> k12_conlat_1(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d24_conlat_1) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_conlat_2) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
=> k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_conlat_2) ).
fof(f21,axiom,
! [X0] : k2_subset_1(X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).
fof(f24,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f25,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
=> ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_conlat_1) ).
fof(f32,axiom,
! [X0] : m1_subset_1(k2_subset_1(X0),k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(f36,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f43,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f45,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f67,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(f68,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f105,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(f108,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_conlat_2) ).
fof(f110,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f112,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> ( r2_conlat_1(X0,X1,k5_conlat_1(X0))
& r2_conlat_1(X0,k6_conlat_1(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_conlat_1) ).
fof(f113,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( X1 = k16_lattice3(X0,X2)
<=> ( r3_lattice3(X0,X1,X2)
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattice3(X0,X3,X2)
=> r3_lattices(X0,X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_lattice3) ).
fof(f115,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X0)))
=> ( r3_lattices(k11_conlat_1(X0),X1,X2)
<=> r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_conlat_1) ).
fof(f117,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v4_lattice3(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_lattice3) ).
fof(f141,plain,
? [X0] :
( ( k3_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) != k5_conlat_1(X0)
| k2_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) != k6_conlat_1(X0) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f142,plain,
? [X0] :
( ( k3_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) != k5_conlat_1(X0)
| k2_conlat_2(X0,k2_subset_1(u1_struct_0(k11_conlat_1(X0)))) != k6_conlat_1(X0) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f141]) ).
fof(f150,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,[],[f7]) ).
fof(f151,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,[],[f150]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_lattice3(X0,X1,X2)
<=> ! [X3] :
( r1_lattices(X0,X1,X3)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r3_lattice3(X0,X1,X2)
<=> ! [X3] :
( r1_lattices(X0,X1,X3)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f162]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( k12_conlat_1(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( k12_conlat_1(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0)))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f172]) ).
fof(f178,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f179,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& l3_lattices(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(ennf_transformation,[],[f25]) ).
fof(f181,plain,
! [X0,X1] :
( ( v6_conlat_1(k12_conlat_1(X0,X1),X0)
& ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
& v9_conlat_1(k12_conlat_1(X0,X1),X0)
& l3_conlat_1(k12_conlat_1(X0,X1),X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(flattening,[],[f180]) ).
fof(f194,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f195,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f194]) ).
fof(f202,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f203,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f214,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f215,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f214]) ).
fof(f216,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f217,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f216]) ).
fof(f262,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,[],[f105]) ).
fof(f263,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,[],[f262]) ).
fof(f266,plain,
! [X0] :
( ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f267,plain,
! [X0] :
( ( k5_lattices(k11_conlat_1(X0)) = k6_conlat_1(X0)
& k6_lattices(k11_conlat_1(X0)) = k5_conlat_1(X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f266]) ).
fof(f269,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f270,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f269]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( r2_conlat_1(X0,X1,k5_conlat_1(X0))
& r2_conlat_1(X0,k6_conlat_1(X0),X1) )
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( r2_conlat_1(X0,X1,k5_conlat_1(X0))
& r2_conlat_1(X0,k6_conlat_1(X0),X1) )
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = k16_lattice3(X0,X2)
<=> ( r3_lattice3(X0,X1,X2)
& ! [X3] :
( r3_lattices(X0,X3,X1)
| ~ r3_lattice3(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f275,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = k16_lattice3(X0,X2)
<=> ( r3_lattice3(X0,X1,X2)
& ! [X3] :
( r3_lattices(X0,X3,X1)
| ~ r3_lattice3(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f274]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_lattices(k11_conlat_1(X0),X1,X2)
<=> r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_lattices(k11_conlat_1(X0),X1,X2)
<=> r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f277]) ).
fof(f281,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f282,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0)
& k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f281]) ).
fof(f287,definition,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f288,plain,
! [X0] :
( sP0(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(definition_folding,[],[f215,f287]) ).
fof(f293,plain,
( ( k3_conlat_2(sK3,k2_subset_1(u1_struct_0(k11_conlat_1(sK3)))) != k5_conlat_1(sK3)
| k2_conlat_2(sK3,k2_subset_1(u1_struct_0(k11_conlat_1(sK3)))) != k6_conlat_1(sK3) )
& ~ v3_conlat_1(sK3)
& l2_conlat_1(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f142]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_lattice3(X0,X1,X2)
| ? [X3] :
( ~ r1_lattices(X0,X1,X3)
& r2_hidden(X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X3] :
( r1_lattices(X0,X1,X3)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r3_lattice3(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_lattice3(X0,X1,X2)
| ? [X3] :
( ~ r1_lattices(X0,X1,X3)
& r2_hidden(X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X4] :
( r1_lattices(X0,X1,X4)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ r3_lattice3(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f294]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r3_lattice3(X0,X1,X2)
| ( ~ r1_lattices(X0,X1,sK4(X0,X1,X2))
& r2_hidden(sK4(X0,X1,X2),X2)
& m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X4] :
( r1_lattices(X0,X1,X4)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ r3_lattice3(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f295]) ).
fof(f307,plain,
! [X0] :
( ( ~ v3_struct_0(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v4_lattice3(k11_conlat_1(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f287]) ).
fof(f335,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_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(nnf_transformation,[],[f263]) ).
fof(f338,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k16_lattice3(X0,X2)
| ~ r3_lattice3(X0,X1,X2)
| ? [X3] :
( ~ r3_lattices(X0,X3,X1)
& r3_lattice3(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ( r3_lattice3(X0,X1,X2)
& ! [X3] :
( r3_lattices(X0,X3,X1)
| ~ r3_lattice3(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| k16_lattice3(X0,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f275]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k16_lattice3(X0,X2)
| ~ r3_lattice3(X0,X1,X2)
| ? [X3] :
( ~ r3_lattices(X0,X3,X1)
& r3_lattice3(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ( r3_lattice3(X0,X1,X2)
& ! [X3] :
( r3_lattices(X0,X3,X1)
| ~ r3_lattice3(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| k16_lattice3(X0,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f338]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k16_lattice3(X0,X2)
| ~ r3_lattice3(X0,X1,X2)
| ? [X3] :
( ~ r3_lattices(X0,X3,X1)
& r3_lattice3(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ( r3_lattice3(X0,X1,X2)
& ! [X4] :
( r3_lattices(X0,X4,X1)
| ~ r3_lattice3(X0,X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k16_lattice3(X0,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f339]) ).
fof(f341,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = k16_lattice3(X0,X2)
| ~ r3_lattice3(X0,X1,X2)
| ( ~ r3_lattices(X0,sK38(X0,X1,X2),X1)
& r3_lattice3(X0,sK38(X0,X1,X2),X2)
& m1_subset_1(sK38(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ( r3_lattice3(X0,X1,X2)
& ! [X4] :
( r3_lattices(X0,X4,X1)
| ~ r3_lattice3(X0,X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k16_lattice3(X0,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X3,sK38(X0,X1,X2))],[f340]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r3_lattices(k11_conlat_1(X0),X1,X2)
| ~ r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2)) )
& ( r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2))
| ~ r3_lattices(k11_conlat_1(X0),X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f278]) ).
fof(f343,plain,
l2_conlat_1(sK3),
inference(cnf_transformation,[],[f293]) ).
fof(f344,plain,
~ v3_conlat_1(sK3),
inference(cnf_transformation,[],[f293]) ).
fof(f345,plain,
( k3_conlat_2(sK3,k2_subset_1(u1_struct_0(k11_conlat_1(sK3)))) != k5_conlat_1(sK3)
| k2_conlat_2(sK3,k2_subset_1(u1_struct_0(k11_conlat_1(sK3)))) != k6_conlat_1(sK3) ),
inference(cnf_transformation,[],[f293]) ).
fof(f351,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f352,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f354,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f372,plain,
! [X2,X0,X1,X4] :
( ~ r3_lattice3(X0,X1,X2)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| r1_lattices(X0,X1,X4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f373,plain,
! [X2,X0,X1] :
( m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0))
| r3_lattice3(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,sK4(X0,X1,X2))
| r3_lattice3(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f378,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
| k12_conlat_1(X0,X1) = X1
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f379,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
| k2_conlat_2(X0,X1) = k16_lattice3(k11_conlat_1(X0),X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f380,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X0))))
| k3_conlat_2(X0,X1) = k15_lattice3(k11_conlat_1(X0),X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f381,plain,
! [X0] : k2_subset_1(X0) = X0,
inference(cnf_transformation,[],[f21]) ).
fof(f386,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f388,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| l3_conlat_1(k12_conlat_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f390,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v9_conlat_1(k12_conlat_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f391,plain,
! [X0,X1] :
( ~ v7_conlat_1(k12_conlat_1(X0,X1),X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0))) ),
inference(cnf_transformation,[],[f181]) ).
fof(f399,plain,
! [X0] : m1_subset_1(k2_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f407,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f415,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f416,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f417,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f438,plain,
! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f442,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f443,plain,
! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f444,plain,
! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f446,plain,
! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f450,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f451,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f452,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ 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(cnf_transformation,[],[f335]) ).
fof(f574,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X1,X2)
| r3_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(cnf_transformation,[],[f335]) ).
fof(f577,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k5_conlat_1(X0) = k6_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f267]) ).
fof(f578,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k6_conlat_1(X0) = k5_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f267]) ).
fof(f580,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f583,plain,
! [X0,X1] :
( r2_conlat_1(X0,k6_conlat_1(X0),X1)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f587,plain,
! [X2,X0,X1] :
( m1_subset_1(sK38(X0,X1,X2),u1_struct_0(X0))
| ~ r3_lattice3(X0,X1,X2)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f588,plain,
! [X2,X0,X1] :
( r3_lattice3(X0,sK38(X0,X1,X2),X2)
| ~ r3_lattice3(X0,X1,X2)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f589,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,sK38(X0,X1,X2),X1)
| ~ r3_lattice3(X0,X1,X2)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f592,plain,
! [X2,X0,X1] :
( ~ r2_conlat_1(X0,k12_conlat_1(X0,X1),k12_conlat_1(X0,X2))
| r3_lattices(k11_conlat_1(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f594,plain,
! [X0] :
( ~ v4_lattice3(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k15_lattice3(X0,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f606,definition,
sF39 = k11_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f607,plain,
k11_conlat_1(sK3) = sF39,
inference(reorient_equations,[],[f606]) ).
fof(f608,definition,
sF40 = u1_struct_0(sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f609,plain,
u1_struct_0(sF39) = sF40,
inference(reorient_equations,[],[f608]) ).
fof(f610,definition,
sF41 = k2_subset_1(sF40),
introduced(definition,[new_symbols(definition,[sF41])],[function_definition]) ).
fof(f611,plain,
k2_subset_1(sF40) = sF41,
inference(reorient_equations,[],[f610]) ).
fof(f612,definition,
sF42 = k3_conlat_2(sK3,sF41),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
fof(f613,plain,
k3_conlat_2(sK3,sF41) = sF42,
inference(reorient_equations,[],[f612]) ).
fof(f614,definition,
sF43 = k5_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f615,plain,
k5_conlat_1(sK3) = sF43,
inference(reorient_equations,[],[f614]) ).
fof(f616,definition,
sF44 = k2_conlat_2(sK3,sF41),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f617,plain,
k2_conlat_2(sK3,sF41) = sF44,
inference(reorient_equations,[],[f616]) ).
fof(f618,definition,
sF45 = k6_conlat_1(sK3),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f619,plain,
k6_conlat_1(sK3) = sF45,
inference(reorient_equations,[],[f618]) ).
fof(f620,plain,
( sF42 != sF43
| sF44 != sF45 ),
inference(definition_folding,[],[f345,f619,f617,f611,f609,f607,f615,f613,f611,f609,f607]) ).
fof(f622,definition,
( spl46_1
<=> sF44 = sF45 ),
introduced(definition,[new_symbols(definition,[spl46_1])],[avatar_definition]) ).
fof(f624,plain,
( sF44 != sF45
| spl46_1 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f626,definition,
( spl46_2
<=> sF42 = sF43 ),
introduced(definition,[new_symbols(definition,[spl46_2])],[avatar_definition]) ).
fof(f629,plain,
( ~ spl46_1
| ~ spl46_2 ),
inference(avatar_split_clause,[],[f620,f626,f622]) ).
fof(f630,plain,
sF40 = sF41,
inference(forward_demodulation,[],[f611,f381]) ).
fof(f631,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k3_conlat_2(sK3,X0) = k15_lattice3(sF39,X0)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f380,f607]) ).
fof(f632,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k3_conlat_2(sK3,X0) = k15_lattice3(sF39,X0)
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f631,f344]) ).
fof(f633,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k3_conlat_2(sK3,X0) = k15_lattice3(sF39,X0) ),
inference(forward_subsumption_resolution,[],[f632,f343]) ).
fof(f634,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF40))
| k3_conlat_2(sK3,X0) = k15_lattice3(sF39,X0) ),
inference(forward_demodulation,[],[f633,f609]) ).
fof(f635,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF41))
| k3_conlat_2(sK3,X0) = k15_lattice3(sF39,X0) ),
inference(forward_demodulation,[],[f634,f630]) ).
fof(f636,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k2_conlat_2(sK3,X0) = k16_lattice3(sF39,X0)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f379,f607]) ).
fof(f637,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k2_conlat_2(sK3,X0) = k16_lattice3(sF39,X0)
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f636,f344]) ).
fof(f638,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF39)))
| k2_conlat_2(sK3,X0) = k16_lattice3(sF39,X0) ),
inference(forward_subsumption_resolution,[],[f637,f343]) ).
fof(f639,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF40))
| k2_conlat_2(sK3,X0) = k16_lattice3(sF39,X0) ),
inference(forward_demodulation,[],[f638,f609]) ).
fof(f640,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF41))
| k2_conlat_2(sK3,X0) = k16_lattice3(sF39,X0) ),
inference(forward_demodulation,[],[f639,f630]) ).
fof(f641,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| k12_conlat_1(sK3,X0) = X0
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f378,f607]) ).
fof(f642,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| k12_conlat_1(sK3,X0) = X0
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f641,f344]) ).
fof(f643,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| k12_conlat_1(sK3,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f642,f343]) ).
fof(f644,plain,
! [X0] :
( ~ m1_subset_1(X0,sF40)
| k12_conlat_1(sK3,X0) = X0 ),
inference(forward_demodulation,[],[f643,f609]) ).
fof(f645,plain,
! [X0] :
( ~ m1_subset_1(X0,sF41)
| k12_conlat_1(sK3,X0) = X0 ),
inference(forward_demodulation,[],[f644,f630]) ).
fof(f648,plain,
k2_conlat_2(sK3,k2_subset_1(sF41)) = k16_lattice3(sF39,k2_subset_1(sF41)),
inference(resolution,[],[f399,f640]) ).
fof(f649,plain,
k3_conlat_2(sK3,k2_subset_1(sF41)) = k15_lattice3(sF39,k2_subset_1(sF41)),
inference(resolution,[],[f399,f635]) ).
fof(f650,plain,
k3_conlat_2(sK3,sF41) = k15_lattice3(sF39,sF41),
inference(forward_demodulation,[],[f649,f381]) ).
fof(f651,plain,
k2_conlat_2(sK3,sF41) = k16_lattice3(sF39,sF41),
inference(forward_demodulation,[],[f648,f381]) ).
fof(f654,plain,
sF42 = k15_lattice3(sF39,sF41),
inference(forward_demodulation,[],[f650,f613]) ).
fof(f655,plain,
sF44 = k16_lattice3(sF39,sF41),
inference(forward_demodulation,[],[f651,f617]) ).
fof(f659,plain,
( ~ v3_struct_0(sF39)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f388,f607]) ).
fof(f660,plain,
( ~ v3_struct_0(sF39)
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f659,f344]) ).
fof(f661,plain,
~ v3_struct_0(sF39),
inference(forward_subsumption_resolution,[],[f660,f343]) ).
fof(f663,plain,
( v3_conlat_1(sK3)
| sP0(sK3) ),
inference(resolution,[],[f451,f343]) ).
fof(f664,plain,
sP0(sK3),
inference(forward_subsumption_resolution,[],[f663,f344]) ).
fof(f729,plain,
( v3_conlat_1(sK3)
| k6_conlat_1(sK3) = k5_lattices(k11_conlat_1(sK3)) ),
inference(resolution,[],[f578,f343]) ).
fof(f730,plain,
k6_conlat_1(sK3) = k5_lattices(k11_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f729,f344]) ).
fof(f731,plain,
k6_conlat_1(sK3) = k5_lattices(sF39),
inference(forward_demodulation,[],[f730,f607]) ).
fof(f732,plain,
sF45 = k5_lattices(sF39),
inference(forward_demodulation,[],[f731,f619]) ).
fof(f733,plain,
( v3_conlat_1(sK3)
| k5_conlat_1(sK3) = k6_lattices(k11_conlat_1(sK3)) ),
inference(resolution,[],[f577,f343]) ).
fof(f734,plain,
k5_conlat_1(sK3) = k6_lattices(k11_conlat_1(sK3)),
inference(forward_subsumption_resolution,[],[f733,f344]) ).
fof(f735,plain,
k5_conlat_1(sK3) = k6_lattices(sF39),
inference(forward_demodulation,[],[f734,f607]) ).
fof(f736,plain,
sF43 = k6_lattices(sF39),
inference(forward_demodulation,[],[f735,f615]) ).
fof(f759,definition,
( spl46_3
<=> l3_lattices(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_3])],[avatar_definition]) ).
fof(f760,plain,
( l3_lattices(sF39)
| ~ spl46_3 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( ~ l3_lattices(sF39)
| spl46_3 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f773,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| v9_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(superposition,[],[f390,f607]) ).
fof(f774,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| ~ l2_conlat_1(sK3)
| v9_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f773,f344]) ).
fof(f776,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| v9_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f774,f343]) ).
fof(f778,plain,
! [X0] :
( ~ m1_subset_1(X0,sF40)
| v9_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_demodulation,[],[f776,f609]) ).
fof(f779,plain,
! [X0] :
( v9_conlat_1(k12_conlat_1(sK3,X0),sK3)
| ~ m1_subset_1(X0,sF41) ),
inference(forward_demodulation,[],[f778,f630]) ).
fof(f781,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| l3_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(superposition,[],[f389,f607]) ).
fof(f782,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| ~ l2_conlat_1(sK3)
| l3_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f781,f344]) ).
fof(f784,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| l3_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f782,f343]) ).
fof(f786,plain,
! [X0] :
( ~ m1_subset_1(X0,sF40)
| l3_conlat_1(k12_conlat_1(sK3,X0),sK3) ),
inference(forward_demodulation,[],[f784,f609]) ).
fof(f787,plain,
! [X0] :
( l3_conlat_1(k12_conlat_1(sK3,X0),sK3)
| ~ m1_subset_1(X0,sF41) ),
inference(forward_demodulation,[],[f786,f630]) ).
fof(f796,plain,
! [X0] :
( ~ sP0(X0)
| v3_struct_0(k11_conlat_1(X0))
| ~ v10_lattices(k11_conlat_1(X0))
| k6_lattices(k11_conlat_1(X0)) = k15_lattice3(k11_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(resolution,[],[f438,f594]) ).
fof(f797,plain,
( v4_lattice3(sF39)
| ~ sP0(sK3) ),
inference(superposition,[],[f438,f607]) ).
fof(f798,plain,
v4_lattice3(sF39),
inference(forward_subsumption_resolution,[],[f797,f664]) ).
fof(f799,plain,
! [X0] :
( ~ sP0(X0)
| ~ v10_lattices(k11_conlat_1(X0))
| k6_lattices(k11_conlat_1(X0)) = k15_lattice3(k11_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(forward_subsumption_resolution,[],[f796,f450]) ).
fof(f800,plain,
! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| k6_lattices(k11_conlat_1(X0)) = k15_lattice3(k11_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f799,f442]) ).
fof(f804,plain,
! [X2,X3,X0,X1] :
( ~ r3_lattice3(X0,X1,X2)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r1_lattices(X0,sK38(X0,X1,X2),X3)
| ~ m1_subset_1(sK38(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f588,f372]) ).
fof(f805,plain,
! [X2,X3,X0,X1] :
( ~ r3_lattice3(X0,X1,X2)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r1_lattices(X0,sK38(X0,X1,X2),X3)
| ~ m1_subset_1(sK38(X0,X1,X2),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f804]) ).
fof(f806,plain,
! [X2,X3,X0,X1] :
( r1_lattices(X0,sK38(X0,X1,X2),X3)
| k16_lattice3(X0,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f805,f587]) ).
fof(f807,plain,
( l3_lattices(sF39)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f386,f607]) ).
fof(f808,plain,
( v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| spl46_3 ),
inference(forward_subsumption_resolution,[],[f807,f761]) ).
fof(f809,plain,
( ~ l2_conlat_1(sK3)
| spl46_3 ),
inference(forward_subsumption_resolution,[],[f808,f344]) ).
fof(f810,plain,
( $false
| spl46_3 ),
inference(forward_subsumption_resolution,[],[f809,f343]) ).
fof(f811,plain,
spl46_3,
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f826,definition,
( spl46_6
<=> v10_lattices(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_6])],[avatar_definition]) ).
fof(f827,plain,
( v10_lattices(sF39)
| ~ spl46_6 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f828,plain,
( ~ v10_lattices(sF39)
| spl46_6 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f1109,plain,
( ~ v1_xboole_0(sF40)
| v3_struct_0(sF39)
| ~ l1_struct_0(sF39) ),
inference(superposition,[],[f452,f609]) ).
fof(f1110,plain,
( ~ v1_xboole_0(sF40)
| ~ l1_struct_0(sF39) ),
inference(forward_subsumption_resolution,[],[f1109,f661]) ).
fof(f1111,plain,
( ~ v1_xboole_0(sF41)
| ~ l1_struct_0(sF39) ),
inference(forward_demodulation,[],[f1110,f630]) ).
fof(f1113,definition,
( spl46_10
<=> l1_struct_0(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_10])],[avatar_definition]) ).
fof(f1115,plain,
( ~ l1_struct_0(sF39)
| spl46_10 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1117,definition,
( spl46_11
<=> v1_xboole_0(sF41) ),
introduced(definition,[new_symbols(definition,[spl46_11])],[avatar_definition]) ).
fof(f1119,plain,
( ~ v1_xboole_0(sF41)
| spl46_11 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1120,plain,
( ~ spl46_10
| ~ spl46_11 ),
inference(avatar_split_clause,[],[f1111,f1117,f1113]) ).
fof(f1226,plain,
( l2_lattices(sF39)
| ~ spl46_3 ),
inference(resolution,[],[f416,f760]) ).
fof(f1227,plain,
( l1_struct_0(sF39)
| ~ spl46_3 ),
inference(resolution,[],[f1226,f415]) ).
fof(f1228,plain,
( $false
| ~ spl46_3
| spl46_10 ),
inference(forward_subsumption_resolution,[],[f1227,f1115]) ).
fof(f1229,plain,
( ~ spl46_3
| spl46_10 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1230,plain,
! [X2,X3,X0,X1] :
( k16_lattice3(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| r3_lattices(X0,sK38(X0,X2,X1),X3)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(sK38(X0,X2,X1),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(resolution,[],[f806,f574]) ).
fof(f1233,plain,
! [X2,X3,X0,X1] :
( k16_lattice3(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| r3_lattices(X0,sK38(X0,X2,X1),X3)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ m1_subset_1(sK38(X0,X2,X1),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f1230]) ).
fof(f1235,plain,
! [X2,X3,X0,X1] :
( k16_lattice3(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| r3_lattices(X0,sK38(X0,X2,X1),X3)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f1233,f587]) ).
fof(f1236,plain,
! [X2,X3,X0,X1] :
( k16_lattice3(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| r3_lattices(X0,sK38(X0,X2,X1),X3)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f1235,f354]) ).
fof(f1237,plain,
! [X2,X3,X0,X1] :
( k16_lattice3(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| r3_lattices(X0,sK38(X0,X2,X1),X3)
| ~ v9_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f1236,f352]) ).
fof(f1238,plain,
! [X2,X3,X0,X1] :
( r3_lattices(X0,sK38(X0,X2,X1),X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattice3(X0,X2,X1)
| k16_lattice3(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f1237,f351]) ).
fof(f1239,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r3_lattice3(X1,X0,X2)
| k16_lattice3(X1,X2) = X0
| ~ r3_lattice3(X1,X0,X2)
| k16_lattice3(X1,X2) = X0
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f1238,f589]) ).
fof(f1242,plain,
! [X2,X0,X1] :
( ~ r3_lattice3(X1,X0,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| k16_lattice3(X1,X2) = X0 ),
inference(duplicate_literal_removal,[],[f1239]) ).
fof(f1254,plain,
( ~ l3_lattices(sF39)
| k6_lattices(sF39) = k15_lattice3(sF39,u1_struct_0(sF39))
| ~ sP0(sK3) ),
inference(superposition,[],[f800,f607]) ).
fof(f1255,plain,
( k6_lattices(sF39) = k15_lattice3(sF39,u1_struct_0(sF39))
| ~ sP0(sK3)
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1254,f760]) ).
fof(f1257,plain,
( k6_lattices(sF39) = k15_lattice3(sF39,u1_struct_0(sF39))
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1255,f664]) ).
fof(f1258,plain,
( k6_lattices(sF39) = k15_lattice3(sF39,sF40)
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1257,f609]) ).
fof(f1259,plain,
( k15_lattice3(sF39,sF41) = k6_lattices(sF39)
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1258,f630]) ).
fof(f1260,plain,
( sF43 = k15_lattice3(sF39,sF41)
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1259,f736]) ).
fof(f1261,plain,
( sF42 = sF43
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1260,f654]) ).
fof(f1262,plain,
( spl46_2
| ~ spl46_3 ),
inference(avatar_split_clause,[],[f1261,f759,f626]) ).
fof(f1264,plain,
( v10_lattices(sF39)
| ~ sP0(sK3) ),
inference(superposition,[],[f442,f607]) ).
fof(f1265,plain,
( ~ sP0(sK3)
| spl46_6 ),
inference(forward_subsumption_resolution,[],[f1264,f828]) ).
fof(f1266,plain,
( $false
| spl46_6 ),
inference(forward_subsumption_resolution,[],[f1265,f664]) ).
fof(f1267,plain,
spl46_6,
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1310,definition,
( spl46_24
<=> v9_lattices(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_24])],[avatar_definition]) ).
fof(f1311,plain,
( v9_lattices(sF39)
| ~ spl46_24 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1312,plain,
( ~ v9_lattices(sF39)
| spl46_24 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1314,definition,
( spl46_25
<=> v8_lattices(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_25])],[avatar_definition]) ).
fof(f1315,plain,
( v8_lattices(sF39)
| ~ spl46_25 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1318,definition,
( spl46_26
<=> v6_lattices(sF39) ),
introduced(definition,[new_symbols(definition,[spl46_26])],[avatar_definition]) ).
fof(f1319,plain,
( v6_lattices(sF39)
| ~ spl46_26 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1401,plain,
( l1_lattices(sF39)
| ~ spl46_3 ),
inference(resolution,[],[f417,f760]) ).
fof(f1411,plain,
( m1_subset_1(k5_lattices(sF39),sF40)
| v3_struct_0(sF39)
| ~ l1_lattices(sF39) ),
inference(superposition,[],[f407,f609]) ).
fof(f1412,plain,
( m1_subset_1(k5_lattices(sF39),sF40)
| ~ l1_lattices(sF39) ),
inference(forward_subsumption_resolution,[],[f1411,f661]) ).
fof(f1418,plain,
( m1_subset_1(k5_lattices(sF39),sF40)
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1412,f1401]) ).
fof(f1424,plain,
( m1_subset_1(k5_lattices(sF39),sF41)
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1418,f630]) ).
fof(f1426,plain,
( m1_subset_1(sF45,sF41)
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1424,f732]) ).
fof(f1428,plain,
( sF45 = k12_conlat_1(sK3,sF45)
| ~ spl46_3 ),
inference(resolution,[],[f1426,f645]) ).
fof(f1429,plain,
( r2_hidden(sF45,sF41)
| v1_xboole_0(sF41)
| ~ spl46_3 ),
inference(resolution,[],[f1426,f580]) ).
fof(f1430,plain,
( r2_hidden(sF45,sF41)
| ~ spl46_3
| spl46_11 ),
inference(forward_subsumption_resolution,[],[f1429,f1119]) ).
fof(f1442,plain,
( ! [X0] :
( ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| r3_lattices(k11_conlat_1(sK3),sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3)))
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) )
| ~ spl46_3 ),
inference(superposition,[],[f592,f1428]) ).
fof(f1443,plain,
( ! [X0] :
( ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| r3_lattices(k11_conlat_1(sK3),sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3)))
| ~ l2_conlat_1(sK3) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1442,f344]) ).
fof(f1454,plain,
( ! [X0] :
( ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| r3_lattices(k11_conlat_1(sK3),sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1443,f343]) ).
fof(f1494,plain,
( ! [X0] :
( r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3)))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1454,f607]) ).
fof(f1498,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1494,f607]) ).
fof(f1502,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF40)
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1498,f609]) ).
fof(f1506,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| ~ m1_subset_1(sF45,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1502,f630]) ).
fof(f1510,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,sF41)
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0)) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1506,f607]) ).
fof(f1514,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF40)
| ~ m1_subset_1(X0,sF41)
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0)) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1510,f609]) ).
fof(f1518,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF41)
| ~ m1_subset_1(X0,sF41)
| r3_lattices(sF39,sF45,X0)
| ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0)) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1514,f630]) ).
fof(f1522,plain,
( ! [X0] :
( ~ r2_conlat_1(sK3,sF45,k12_conlat_1(sK3,X0))
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1518,f1426]) ).
fof(f1620,plain,
! [X0,X1] :
( m1_subset_1(sK4(sF39,X0,X1),sF40)
| r3_lattice3(sF39,X0,X1)
| ~ m1_subset_1(X0,sF40)
| v3_struct_0(sF39)
| ~ l3_lattices(sF39) ),
inference(superposition,[],[f373,f609]) ).
fof(f1621,plain,
! [X0,X1] :
( m1_subset_1(sK4(sF39,X0,X1),sF40)
| r3_lattice3(sF39,X0,X1)
| ~ m1_subset_1(X0,sF40)
| ~ l3_lattices(sF39) ),
inference(forward_subsumption_resolution,[],[f1620,f661]) ).
fof(f1626,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sF39,X0,X1),sF40)
| r3_lattice3(sF39,X0,X1)
| ~ m1_subset_1(X0,sF40) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1621,f760]) ).
fof(f1631,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sF39,X0,X1),sF41)
| r3_lattice3(sF39,X0,X1)
| ~ m1_subset_1(X0,sF40) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1626,f630]) ).
fof(f1632,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sF39,X0,X1),sF41)
| ~ m1_subset_1(X0,sF41)
| r3_lattice3(sF39,X0,X1) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f1631,f630]) ).
fof(f1688,plain,
! [X0] :
( r2_conlat_1(sK3,sF45,X0)
| v7_conlat_1(X0,sK3)
| ~ v9_conlat_1(X0,sK3)
| ~ l3_conlat_1(X0,sK3)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3) ),
inference(superposition,[],[f583,f619]) ).
fof(f1689,plain,
! [X0] :
( r2_conlat_1(sK3,sF45,X0)
| v7_conlat_1(X0,sK3)
| ~ v9_conlat_1(X0,sK3)
| ~ l3_conlat_1(X0,sK3)
| ~ l2_conlat_1(sK3) ),
inference(forward_subsumption_resolution,[],[f1688,f344]) ).
fof(f1690,plain,
! [X0] :
( r2_conlat_1(sK3,sF45,X0)
| v7_conlat_1(X0,sK3)
| ~ v9_conlat_1(X0,sK3)
| ~ l3_conlat_1(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f1689,f343]) ).
fof(f1691,plain,
( ! [X0] :
( v7_conlat_1(k12_conlat_1(sK3,X0),sK3)
| ~ v9_conlat_1(k12_conlat_1(sK3,X0),sK3)
| ~ l3_conlat_1(k12_conlat_1(sK3,X0),sK3)
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(resolution,[],[f1690,f1522]) ).
fof(f1698,plain,
( ! [X0] :
( v7_conlat_1(k12_conlat_1(sK3,X0),sK3)
| ~ l3_conlat_1(k12_conlat_1(sK3,X0),sK3)
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1691,f779]) ).
fof(f1702,plain,
( ! [X0] :
( v7_conlat_1(k12_conlat_1(sK3,X0),sK3)
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f1698,f787]) ).
fof(f2590,plain,
( ! [X0] :
( r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41)
| v3_conlat_1(sK3)
| ~ l2_conlat_1(sK3)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(resolution,[],[f1702,f391]) ).
fof(f2608,plain,
( ! [X0] :
( r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41)
| ~ l2_conlat_1(sK3)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f2590,f344]) ).
fof(f2612,plain,
( ! [X0] :
( r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41)
| ~ m1_subset_1(X0,u1_struct_0(k11_conlat_1(sK3))) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f2608,f343]) ).
fof(f2615,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sF39))
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f2612,f607]) ).
fof(f2616,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF40)
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f2615,f609]) ).
fof(f2617,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(forward_demodulation,[],[f2616,f630]) ).
fof(f2618,plain,
( ! [X0] :
( r3_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3 ),
inference(duplicate_literal_removal,[],[f2617]) ).
fof(f2619,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| v3_struct_0(sF39)
| ~ v6_lattices(sF39)
| ~ v8_lattices(sF39)
| ~ v9_lattices(sF39)
| ~ l3_lattices(sF39)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3 ),
inference(resolution,[],[f2618,f573]) ).
fof(f2895,plain,
( v6_lattices(sF39)
| ~ sP0(sK3) ),
inference(superposition,[],[f446,f607]) ).
fof(f2896,plain,
v6_lattices(sF39),
inference(forward_subsumption_resolution,[],[f2895,f664]) ).
fof(f2897,plain,
spl46_26,
inference(avatar_split_clause,[],[f2896,f1318]) ).
fof(f3120,plain,
( v8_lattices(sF39)
| ~ sP0(sK3) ),
inference(superposition,[],[f444,f607]) ).
fof(f3121,plain,
v8_lattices(sF39),
inference(forward_subsumption_resolution,[],[f3120,f664]) ).
fof(f3122,plain,
spl46_25,
inference(avatar_split_clause,[],[f3121,f1314]) ).
fof(f3499,plain,
( v9_lattices(sF39)
| ~ sP0(sK3) ),
inference(superposition,[],[f443,f607]) ).
fof(f3500,plain,
( ~ sP0(sK3)
| spl46_24 ),
inference(forward_subsumption_resolution,[],[f3499,f1312]) ).
fof(f3501,plain,
( $false
| spl46_24 ),
inference(forward_subsumption_resolution,[],[f3500,f664]) ).
fof(f3502,plain,
spl46_24,
inference(avatar_contradiction_clause,[],[f3501]) ).
fof(f3516,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ v6_lattices(sF39)
| ~ v8_lattices(sF39)
| ~ v9_lattices(sF39)
| ~ l3_lattices(sF39)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3 ),
inference(forward_subsumption_resolution,[],[f2619,f661]) ).
fof(f3535,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ v8_lattices(sF39)
| ~ v9_lattices(sF39)
| ~ l3_lattices(sF39)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3516,f1319]) ).
fof(f3554,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ v9_lattices(sF39)
| ~ l3_lattices(sF39)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3535,f1315]) ).
fof(f3573,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ l3_lattices(sF39)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3554,f1311]) ).
fof(f3592,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3573,f760]) ).
fof(f3611,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF40)
| ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3592,f609]) ).
fof(f3632,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF41)
| ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3611,f630]) ).
fof(f3656,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3632,f1426]) ).
fof(f3669,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF40)
| ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3656,f609]) ).
fof(f3680,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF41)
| ~ m1_subset_1(X0,sF41)
| r1_lattices(sF39,sF45,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3669,f630]) ).
fof(f3681,plain,
( ! [X0] :
( r1_lattices(sF39,sF45,X0)
| ~ m1_subset_1(X0,sF41) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(duplicate_literal_removal,[],[f3680]) ).
fof(f3761,plain,
( ! [X0] :
( ~ m1_subset_1(sK4(sF39,sF45,X0),sF41)
| r3_lattice3(sF39,sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| v3_struct_0(sF39)
| ~ l3_lattices(sF39) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(resolution,[],[f3681,f375]) ).
fof(f3762,plain,
( ! [X0] :
( ~ m1_subset_1(sK4(sF39,sF45,X0),sF41)
| r3_lattice3(sF39,sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| ~ l3_lattices(sF39) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3761,f661]) ).
fof(f3763,plain,
( ! [X0] :
( ~ m1_subset_1(sK4(sF39,sF45,X0),sF41)
| r3_lattice3(sF39,sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39)) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3762,f760]) ).
fof(f3764,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF40)
| ~ m1_subset_1(sK4(sF39,sF45,X0),sF41)
| r3_lattice3(sF39,sF45,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3763,f609]) ).
fof(f3765,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF41)
| ~ m1_subset_1(sK4(sF39,sF45,X0),sF41)
| r3_lattice3(sF39,sF45,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3764,f630]) ).
fof(f3766,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF41)
| r3_lattice3(sF39,sF45,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3765,f1632]) ).
fof(f3767,plain,
( ! [X0] : r3_lattice3(sF39,sF45,X0)
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3766,f1426]) ).
fof(f3821,plain,
( ! [X0] :
( v3_struct_0(sF39)
| ~ v10_lattices(sF39)
| ~ v4_lattice3(sF39)
| ~ l3_lattices(sF39)
| ~ r2_hidden(sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(resolution,[],[f3767,f1242]) ).
fof(f3824,plain,
( ! [X0] :
( ~ v10_lattices(sF39)
| ~ v4_lattice3(sF39)
| ~ l3_lattices(sF39)
| ~ r2_hidden(sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3821,f661]) ).
fof(f3828,plain,
( ! [X0] :
( ~ v4_lattice3(sF39)
| ~ l3_lattices(sF39)
| ~ r2_hidden(sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3824,f827]) ).
fof(f3831,plain,
( ! [X0] :
( ~ l3_lattices(sF39)
| ~ r2_hidden(sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3828,f798]) ).
fof(f3834,plain,
( ! [X0] :
( ~ r2_hidden(sF45,X0)
| ~ m1_subset_1(sF45,u1_struct_0(sF39))
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3831,f760]) ).
fof(f3836,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF40)
| ~ r2_hidden(sF45,X0)
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3834,f609]) ).
fof(f3838,plain,
( ! [X0] :
( ~ m1_subset_1(sF45,sF41)
| ~ r2_hidden(sF45,X0)
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3836,f630]) ).
fof(f3839,plain,
( ! [X0] :
( ~ r2_hidden(sF45,X0)
| sF45 = k16_lattice3(sF39,X0) )
| ~ spl46_3
| ~ spl46_6
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3838,f1426]) ).
fof(f3841,plain,
( sF45 = k16_lattice3(sF39,sF41)
| ~ spl46_3
| ~ spl46_6
| spl46_11
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(resolution,[],[f3839,f1430]) ).
fof(f3843,plain,
( sF44 = sF45
| ~ spl46_3
| ~ spl46_6
| spl46_11
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_demodulation,[],[f3841,f655]) ).
fof(f3844,plain,
( $false
| spl46_1
| ~ spl46_3
| ~ spl46_6
| spl46_11
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(forward_subsumption_resolution,[],[f3843,f624]) ).
fof(f3845,plain,
( spl46_1
| ~ spl46_3
| ~ spl46_6
| spl46_11
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(avatar_contradiction_clause,[],[f3844]) ).
cnf(s1,plain,
( ~ spl46_1
| ~ spl46_2 ),
inference(sat_conversion,[],[f629]) ).
cnf(s4,plain,
spl46_3,
inference(sat_conversion,[],[f811]) ).
cnf(s9,plain,
( ~ spl46_10
| ~ spl46_11 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s18,plain,
( ~ spl46_3
| spl46_10 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s19,plain,
( spl46_2
| ~ spl46_3 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s20,plain,
spl46_6,
inference(sat_conversion,[],[f1267]) ).
cnf(s91,plain,
spl46_26,
inference(sat_conversion,[],[f2897]) ).
cnf(s92,plain,
spl46_25,
inference(sat_conversion,[],[f3122]) ).
cnf(s108,plain,
spl46_24,
inference(sat_conversion,[],[f3502]) ).
cnf(s122,plain,
( spl46_1
| ~ spl46_3
| ~ spl46_6
| spl46_11
| ~ spl46_24
| ~ spl46_25
| ~ spl46_26 ),
inference(sat_conversion,[],[f3845]) ).
cnf(s137,plain,
spl46_2,
inference(rat,[],[s19,s4]) ).
cnf(s138,plain,
spl46_10,
inference(rat,[],[s18,s4]) ).
cnf(s145,plain,
~ spl46_11,
inference(rat,[],[s9,s138]) ).
cnf(s152,plain,
spl46_1,
inference(rat,[],[s122,s91,s92,s108,s4,s20,s145]) ).
cnf(s162,plain,
$false,
inference(rat,[],[s1,s137,s152]) ).
fof(f3846,plain,
$false,
inference(avatar_sat_refutation,[],[s162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT340+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:47:22 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 6.63/1.99 % (312018)Detected formulas, will run a generic FOF schedule.
% 6.63/1.99 % (312026)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1705728195:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.63/1.99 % (312026)Refutation not found, incomplete strategy
% 6.63/1.99 % (312026)------------------------------
% 6.63/1.99 % (312026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312026)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312026)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312026)Time elapsed: 0.001 s
% 6.63/1.99 % (312026)Peak memory usage: 89 MB
% 6.63/1.99 % (312026)Instructions burned: 1 (million)
% 6.63/1.99 % (312027)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1302273087:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.63/1.99 % (312027)Refutation not found, incomplete strategy
% 6.63/1.99 % (312027)------------------------------
% 6.63/1.99 % (312027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312027)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312027)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312027)Time elapsed: 0.002 s
% 6.63/1.99 % (312027)Peak memory usage: 88 MB
% 6.63/1.99 % (312027)Instructions burned: 2 (million)
% 6.63/1.99 % (312025)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=4047157468:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.63/1.99 % (312023)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=1790388076:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.63/1.99 % (312024)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=3843384309:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.63/1.99 % (312028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3505084156:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.63/1.99 % (312029)dis-21_1_sil=8000:lcm=predicate:random_seed=208894515: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)
% 6.63/1.99 % (312029)Instruction limit reached!
% 6.63/1.99 % (312029)------------------------------
% 6.63/1.99 % (312029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312029)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312029)Termination reason: Instruction limit
% 6.63/1.99 % (312029)Termination phase: Saturation
% 6.63/1.99 % (312029)Time elapsed: 0.071 s
% 6.63/1.99 % (312029)Peak memory usage: 91 MB
% 6.63/1.99 % (312029)Instructions burned: 130 (million)
% 6.63/1.99 % (312028)Instruction limit reached!
% 6.63/1.99 % (312028)------------------------------
% 6.63/1.99 % (312028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312028)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312028)Termination reason: Instruction limit
% 6.63/1.99 % (312028)Termination phase: Saturation
% 6.63/1.99 % (312028)Time elapsed: 0.102 s
% 6.63/1.99 % (312028)Peak memory usage: 90 MB
% 6.63/1.99 % (312028)Instructions burned: 139 (million)
% 6.63/1.99 % (312026)------------------------------
% 6.63/1.99 % (312026)------------------------------
% 6.63/1.99 % (312039)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4158311948:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.63/1.99 % (312037)lrs+10_1_sil=8000:sp=occurrence:random_seed=3431005157:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.63/1.99 % (312027)------------------------------
% 6.63/1.99 % (312027)------------------------------
% 6.63/1.99 % (312038)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3014655166:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.63/1.99 % (312038)Refutation not found, incomplete strategy
% 6.63/1.99 % (312038)------------------------------
% 6.63/1.99 % (312038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312038)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312038)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312038)Time elapsed: 0.003 s
% 6.63/1.99 % (312038)Peak memory usage: 89 MB
% 6.63/1.99 % (312038)Instructions burned: 3 (million)
% 6.63/1.99 % (312039)Instruction limit reached!
% 6.63/1.99 % (312039)------------------------------
% 6.63/1.99 % (312039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312039)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312039)Termination reason: Instruction limit
% 6.63/1.99 % (312039)Termination phase: Saturation
% 6.63/1.99 % (312039)Time elapsed: 0.110 s
% 6.63/1.99 % (312039)Peak memory usage: 91 MB
% 6.63/1.99 % (312039)Instructions burned: 326 (million)
% 6.63/1.99 % (312037)Instruction limit reached!
% 6.63/1.99 % (312037)------------------------------
% 6.63/1.99 % (312037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312037)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312037)Termination reason: Instruction limit
% 6.63/1.99 % (312037)Termination phase: Saturation
% 6.63/1.99 % (312037)Time elapsed: 0.163 s
% 6.63/1.99 % (312037)Peak memory usage: 91 MB
% 6.63/1.99 % (312037)Instructions burned: 286 (million)
% 6.63/1.99 % (312043)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=1650793980:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.63/1.99 % (312044)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=122300009:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.63/1.99 % (312044)Refutation not found, incomplete strategy
% 6.63/1.99 % (312044)------------------------------
% 6.63/1.99 % (312044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312044)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312044)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312044)Time elapsed: 0.003 s
% 6.63/1.99 % (312044)Peak memory usage: 89 MB
% 6.63/1.99 % (312044)Instructions burned: 6 (million)
% 6.63/1.99 % (312038)------------------------------
% 6.63/1.99 % (312038)------------------------------
% 6.63/1.99 % (312046)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1736024634:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.63/1.99 % (312043)Instruction limit reached!
% 6.63/1.99 % (312043)------------------------------
% 6.63/1.99 % (312043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312043)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312043)Termination reason: Instruction limit
% 6.63/1.99 % (312043)Termination phase: Saturation
% 6.63/1.99 % (312043)Time elapsed: 0.150 s
% 6.63/1.99 % (312043)Peak memory usage: 93 MB
% 6.63/1.99 % (312043)Instructions burned: 248 (million)
% 6.63/1.99 % (312044)------------------------------
% 6.63/1.99 % (312044)------------------------------
% 6.63/1.99 % (312048)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1798127506:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.63/1.99 % (312050)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=619622200:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.63/1.99 % (312048)Instruction limit reached!
% 6.63/1.99 % (312048)------------------------------
% 6.63/1.99 % (312048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312048)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312048)Termination reason: Instruction limit
% 6.63/1.99 % (312048)Termination phase: Saturation
% 6.63/1.99 % (312048)Time elapsed: 0.074 s
% 6.63/1.99 % (312048)Peak memory usage: 91 MB
% 6.63/1.99 % (312048)Instructions burned: 114 (million)
% 6.63/1.99 % (312051)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1682254686:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.63/1.99 % (312051)Refutation not found, incomplete strategy
% 6.63/1.99 % (312051)------------------------------
% 6.63/1.99 % (312051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312051)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312051)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312051)Time elapsed: 0.003 s
% 6.63/1.99 % (312051)Peak memory usage: 89 MB
% 6.63/1.99 % (312051)Instructions burned: 3 (million)
% 6.63/1.99 % (312050)Instruction limit reached!
% 6.63/1.99 % (312050)------------------------------
% 6.63/1.99 % (312050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312050)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312050)Termination reason: Instruction limit
% 6.63/1.99 % (312050)Termination phase: Saturation
% 6.63/1.99 % (312050)Time elapsed: 0.065 s
% 6.63/1.99 % (312050)Peak memory usage: 89 MB
% 6.63/1.99 % (312050)Instructions burned: 128 (million)
% 6.63/1.99 % (312055)lrs+10_1_sil=8000:sp=occurrence:random_seed=3794805832:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.63/1.99 % (312023)First to succeed.
% 6.63/1.99 % (312023)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-312018"
% 6.63/1.99 % (312056)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2561181674:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.63/1.99 % (312056)Refutation not found, incomplete strategy
% 6.63/1.99 % (312056)------------------------------
% 6.63/1.99 % (312056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.99 % (312056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.99 % (312056)CaDiCaL version: 2.1.3
% 6.63/1.99 % (312056)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.99 % (312056)Time elapsed: 0.007 s
% 6.63/1.99 % (312056)Peak memory usage: 89 MB
% 6.63/1.99 % (312056)Instructions burned: 11 (million)
% 6.63/1.99 % (312051)------------------------------
% 6.63/1.99 % (312051)------------------------------
% 6.63/1.99 % (312023)Refutation found. Thanks to Tanya!
% 6.63/1.99 % SZS status Theorem for theBenchmark
% 6.63/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.18 % (312023)------------------------------
% 8.70/2.18 % (312023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.18 % (312023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.18 % (312023)CaDiCaL version: 2.1.3
% 8.70/2.18 % (312023)Termination reason: Refutation
% 8.70/2.18 % (312023)Time elapsed: 0.832 s
% 8.70/2.18 % (312023)Peak memory usage: 134 MB
% 8.70/2.18 % (312023)Instructions burned: 1529 (million)
% 8.70/2.18 % (312023)------------------------------
% 8.70/2.18 % (312023)------------------------------
% 8.70/2.18 % (312018)Success in time 1.149 s
% 8.70/2.18 % Vampire exiting
%------------------------------------------------------------------------------