%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT308+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:45 AM UTC 2026
% Result : Theorem 21.71s 3.99s
% Output : Refutation 22.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 52
% Syntax : Number of formulae : 462 ( 76 unt; 23 def)
% Number of atoms : 1963 ( 276 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2623 (1122 ~;1243 |; 186 &)
% ( 26 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 20 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-6 aty)
% Number of variables : 485 ( 0 sgn 469 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ~ ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k3_lattices(X0,X1,X2) = X1 )
& k18_filter_2(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ~ ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k3_lattices(X0,X1,X2) = X1 )
& k18_filter_2(X0,X1) = u1_struct_0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f6,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(f16,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_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) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattices) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f21,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f26,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f40,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f43,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f44,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f52,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f54,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f67,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(f79,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f80,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_0) ).
fof(f81,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f82,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f99,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f100,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f101,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f103,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f106,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,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f108,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ~ ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_lattices(X0,X1,X2) = X1 )
& k2_filter_0(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_filter_0) ).
fof(f109,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(f111,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f131,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(X0,X1,X2) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& k18_filter_2(X0,X1) = u1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f132,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_lattices(X0,X1,X2) != X1
& m1_subset_1(X2,u1_struct_0(X0)) )
& k18_filter_2(X0,X1) = u1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f134,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f133]) ).
fof(f137,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(f138,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,[],[f137]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f160]) ).
fof(f166,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f181,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f182,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f181]) ).
fof(f184,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f185,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f195,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f196,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f205,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f206,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f208,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f207]) ).
fof(f221,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f222,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f81]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f227]) ).
fof(f236,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f237,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f100]) ).
fof(f239,plain,
! [X0,X1,X2] :
( k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f238]) ).
fof(f240,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,[],[f101]) ).
fof(f241,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,[],[f240]) ).
fof(f246,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| 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,[],[f106]) ).
fof(f247,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| 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,[],[f246]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f252,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f251]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f254]) ).
fof(f263,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f264,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f222,f263]) ).
fof(f265,plain,
( sK2 != k3_lattices(sK1,sK2,sK3)
& m1_subset_1(sK3,u1_struct_0(sK1))
& u1_struct_0(sK1) = k18_filter_2(sK1,sK2)
& m1_subset_1(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f132]) ).
fof(f277,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f263]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X2,X3) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f224]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& X0 = X4
& r3_lattices(X1,X2,X4) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3) ) )
& ( ( m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
& sK15(X0,X1,X2) = X0
& r3_lattices(X1,X2,sK15(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2))],[f279]) ).
fof(f281,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f226]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& X0 = X4
& r3_lattices(X1,X4,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f281]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ( m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
& sK16(X0,X1,X2) = X0
& r3_lattices(X1,sK16(X0,X1,X2),X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X4,sK16(X0,X1,X2))],[f282]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f304,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f265]) ).
fof(f305,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f265]) ).
fof(f306,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f265]) ).
fof(f307,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f265]) ).
fof(f308,plain,
u1_struct_0(sK1) = k18_filter_2(sK1,sK2),
inference(cnf_transformation,[],[f265]) ).
fof(f309,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f265]) ).
fof(f310,plain,
sK2 != k3_lattices(sK1,sK2,sK3),
inference(cnf_transformation,[],[f265]) ).
fof(f311,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f314,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f315,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f317,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f319,plain,
! [X0] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f332,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f334,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f335,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f337,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f341,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f342,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f350,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f352,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f353,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f354,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f363,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f364,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f365,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f366,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f367,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f368,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f381,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f382,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f404,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f413,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| sK15(X0,X1,X2) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f416,plain,
! [X2,X0,X1] :
( m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| sK16(X0,X1,X2) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f283]) ).
fof(f420,plain,
! [X2,X0,X1] :
( m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f283]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f464,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f465,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f466,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,[],[f241]) ).
fof(f469,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f476,plain,
! [X2,X0,X1] :
( u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f477,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f480,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f481,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f489,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(equality_resolution,[],[f417]) ).
fof(f491,definition,
sF33 = k3_lattices(sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f492,plain,
k3_lattices(sK1,sK2,sK3) = sF33,
inference(reorient_equations,[],[f491]) ).
fof(f493,plain,
sK2 != sF33,
inference(definition_folding,[],[f310,f492]) ).
fof(f494,definition,
sF34 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f495,plain,
u1_struct_0(sK1) = sF34,
inference(reorient_equations,[],[f494]) ).
fof(f496,plain,
m1_subset_1(sK3,sF34),
inference(definition_folding,[],[f309,f495]) ).
fof(f497,definition,
sF35 = k18_filter_2(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f498,plain,
k18_filter_2(sK1,sK2) = sF35,
inference(reorient_equations,[],[f497]) ).
fof(f499,plain,
sF34 = sF35,
inference(definition_folding,[],[f308,f498,f495]) ).
fof(f500,plain,
m1_subset_1(sK2,sF34),
inference(definition_folding,[],[f307,f495]) ).
fof(f501,plain,
k18_filter_2(sK1,sK2) = sF34,
inference(forward_demodulation,[],[f498,f499]) ).
fof(f502,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = a_2_0_filter_2(sK1,X0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f337,f495]) ).
fof(f503,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = a_2_0_filter_2(sK1,X0)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f502,f306]) ).
fof(f504,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = a_2_0_filter_2(sK1,X0)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f503,f305]) ).
fof(f505,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = a_2_0_filter_2(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f504,f304]) ).
fof(f506,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| k2_filter_0(sK1,X0) = k2_filter_2(sK1,X0) ),
inference(superposition,[],[f464,f495]) ).
fof(f507,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| k2_filter_0(sK1,X0) = k2_filter_2(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f506,f306]) ).
fof(f508,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| ~ l3_lattices(sK1)
| k2_filter_0(sK1,X0) = k2_filter_2(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f507,f305]) ).
fof(f509,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_0(sK1,X0) = k2_filter_2(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f508,f304]) ).
fof(f510,plain,
k2_filter_0(sK1,sK3) = k2_filter_2(sK1,sK3),
inference(resolution,[],[f509,f496]) ).
fof(f512,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_0(sK1,X0) = a_2_0_filter_0(sK1,X0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f334,f495]) ).
fof(f513,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_0(sK1,X0) = a_2_0_filter_0(sK1,X0)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f512,f306]) ).
fof(f514,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_0(sK1,X0) = a_2_0_filter_0(sK1,X0)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f513,f305]) ).
fof(f515,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_0(sK1,X0) = a_2_0_filter_0(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f514,f304]) ).
fof(f517,plain,
k18_filter_2(sK1,sK2) = a_2_0_filter_2(sK1,sK2),
inference(resolution,[],[f505,f500]) ).
fof(f518,plain,
sF34 = a_2_0_filter_2(sK1,sK2),
inference(forward_demodulation,[],[f517,f501]) ).
fof(f519,plain,
k2_filter_0(sK1,sK3) = a_2_0_filter_0(sK1,sK3),
inference(resolution,[],[f515,f496]) ).
fof(f521,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f481,f495]) ).
fof(f522,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f521,f306]) ).
fof(f523,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f522,f305]) ).
fof(f524,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k18_filter_2(sK1,X0) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) ),
inference(forward_subsumption_resolution,[],[f523,f304]) ).
fof(f526,plain,
k18_filter_2(sK1,sK2) = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),
inference(resolution,[],[f524,f500]) ).
fof(f527,plain,
sF34 = k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),
inference(forward_demodulation,[],[f526,f501]) ).
fof(f529,plain,
l2_lattices(sK1),
inference(resolution,[],[f353,f304]) ).
fof(f530,plain,
l1_lattices(sK1),
inference(resolution,[],[f354,f304]) ).
fof(f560,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK1,X0) = X0
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f335,f495]) ).
fof(f561,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK1,X0) = X0
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f560,f306]) ).
fof(f562,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK1,X0) = X0
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f561,f305]) ).
fof(f563,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k5_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f562,f304]) ).
fof(f564,plain,
sK3 = k5_filter_2(sK1,sK3),
inference(resolution,[],[f563,f496]) ).
fof(f565,plain,
sK2 = k5_filter_2(sK1,sK2),
inference(resolution,[],[f563,f500]) ).
fof(f566,plain,
sF34 = k2_filter_2(k1_lattice2(sK1),sK2),
inference(superposition,[],[f527,f565]) ).
fof(f567,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_2(sK1,X0) = k18_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f480,f495]) ).
fof(f568,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_2(sK1,X0) = k18_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f567,f306]) ).
fof(f569,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_2(sK1,X0) = k18_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f568,f305]) ).
fof(f570,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_filter_2(sK1,X0) = k18_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) ),
inference(forward_subsumption_resolution,[],[f569,f304]) ).
fof(f571,plain,
k2_filter_2(sK1,sK3) = k18_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK3)),
inference(resolution,[],[f570,f496]) ).
fof(f574,plain,
k2_filter_2(sK1,sK3) = k18_filter_2(k1_lattice2(sK1),sK3),
inference(forward_demodulation,[],[f571,f564]) ).
fof(f576,plain,
k2_filter_0(sK1,sK3) = k18_filter_2(k1_lattice2(sK1),sK3),
inference(forward_demodulation,[],[f574,f510]) ).
fof(f578,plain,
a_2_0_filter_0(sK1,sK3) = k18_filter_2(k1_lattice2(sK1),sK3),
inference(forward_demodulation,[],[f576,f519]) ).
fof(f581,definition,
( spl36_3
<=> m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f582,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| spl36_3 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f585,definition,
( spl36_4
<=> l3_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f586,plain,
( l3_lattices(k1_lattice2(sK1))
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| spl36_4 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f589,definition,
( spl36_5
<=> v10_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f590,plain,
( v10_lattices(k1_lattice2(sK1))
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| spl36_5 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl36_6
<=> v3_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f594,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| spl36_6 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f603,definition,
( spl36_8
<=> m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f604,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| ~ spl36_8 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| spl36_8 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f643,plain,
( ~ l3_lattices(sK1)
| spl36_4 ),
inference(resolution,[],[f341,f587]) ).
fof(f646,plain,
( $false
| spl36_4 ),
inference(forward_subsumption_resolution,[],[f643,f304]) ).
fof(f647,plain,
spl36_4,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f648,plain,
( l1_lattices(k1_lattice2(sK1))
| ~ spl36_4 ),
inference(resolution,[],[f586,f354]) ).
fof(f650,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(resolution,[],[f413,f304]) ).
fof(f653,plain,
( ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f650,f306]) ).
fof(f654,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f653,f305]) ).
fof(f684,plain,
( ~ sP0(sK1)
| spl36_5 ),
inference(resolution,[],[f404,f591]) ).
fof(f685,plain,
( $false
| spl36_5 ),
inference(forward_subsumption_resolution,[],[f684,f654]) ).
fof(f686,plain,
spl36_5,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f693,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ spl36_6 ),
inference(resolution,[],[f595,f381]) ).
fof(f694,plain,
( ~ l3_lattices(sK1)
| ~ spl36_6 ),
inference(forward_subsumption_resolution,[],[f693,f306]) ).
fof(f695,plain,
( $false
| ~ spl36_6 ),
inference(forward_subsumption_resolution,[],[f694,f304]) ).
fof(f696,plain,
~ spl36_6,
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,sK16(X2,X0,X3)) = k2_lattices(X0,X1,sK16(X2,X0,X3))
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(resolution,[],[f466,f420]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,sK16(X2,X0,X3)) = k2_lattices(X0,X1,sK16(X2,X0,X3))
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f742]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,sK16(X2,X0,X3)) = k2_lattices(X0,X1,sK16(X2,X0,X3))
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f744,f317]) ).
fof(f747,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,sK16(X2,X0,X3)) = k2_lattices(X0,X1,sK16(X2,X0,X3))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f746,f354]) ).
fof(f772,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k3_lattices(X1,X3,sK15(X0,X1,X2)) = k1_lattices(X1,X3,sK15(X0,X1,X2)) ),
inference(resolution,[],[f416,f465]) ).
fof(f780,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k3_lattices(X1,X3,sK15(X0,X1,X2)) = k1_lattices(X1,X3,sK15(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k3_lattices(X1,X3,sK15(X0,X1,X2)) = k1_lattices(X1,X3,sK15(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f780,f319]) ).
fof(f794,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k3_lattices(X1,X3,sK15(X0,X1,X2)) = k1_lattices(X1,X3,sK15(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f789,f353]) ).
fof(f798,plain,
( r2_hidden(sK3,sF34)
| v1_xboole_0(sF34) ),
inference(resolution,[],[f477,f496]) ).
fof(f804,definition,
( spl36_17
<=> v1_xboole_0(sF34) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f806,plain,
( v1_xboole_0(sF34)
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f813,definition,
( spl36_19
<=> r2_hidden(sK3,sF34) ),
introduced(definition,[new_symbols(definition,[spl36_19])],[avatar_definition]) ).
fof(f815,plain,
( r2_hidden(sK3,sF34)
| ~ spl36_19 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,plain,
( spl36_17
| spl36_19 ),
inference(avatar_split_clause,[],[f798,f813,f804]) ).
fof(f862,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| k1_lattices(sK1,X1,X0) = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),X1,X0)
| ~ m1_subset_1(X1,sF34)
| v3_struct_0(sK1)
| ~ l2_lattices(sK1) ),
inference(superposition,[],[f331,f495]) ).
fof(f866,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| k1_lattices(sK1,X1,X0) = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),X1,X0)
| ~ m1_subset_1(X1,sF34)
| ~ l2_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f862,f306]) ).
fof(f869,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF34)
| k1_lattices(sK1,X1,X0) = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),X1,X0)
| ~ m1_subset_1(X0,sF34) ),
inference(forward_subsumption_resolution,[],[f866,f529]) ).
fof(f870,plain,
( ~ v1_xboole_0(sF34)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f382,f495]) ).
fof(f871,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl36_17 ),
inference(forward_subsumption_resolution,[],[f870,f806]) ).
fof(f872,plain,
( ~ l1_struct_0(sK1)
| ~ spl36_17 ),
inference(forward_subsumption_resolution,[],[f871,f306]) ).
fof(f904,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)),
inference(resolution,[],[f332,f304]) ).
fof(f907,plain,
k1_lattice2(sK1) = g3_lattices(sF34,u1_lattices(sK1),u2_lattices(sK1)),
inference(forward_demodulation,[],[f904,f495]) ).
fof(f919,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u2_lattices(sK1) = X2
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
inference(superposition,[],[f422,f907]) ).
fof(f953,definition,
( spl36_27
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
introduced(definition,[new_symbols(definition,[spl36_27])],[avatar_definition]) ).
fof(f954,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ spl36_27 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f957,definition,
( spl36_28
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
introduced(definition,[new_symbols(definition,[spl36_28])],[avatar_definition]) ).
fof(f958,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ spl36_28 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f959,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| spl36_28 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f961,definition,
( spl36_29
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).
fof(f962,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ spl36_29 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f963,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl36_29 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f965,definition,
( spl36_30
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
introduced(definition,[new_symbols(definition,[spl36_30])],[avatar_definition]) ).
fof(f966,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ spl36_30 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f969,definition,
( spl36_31
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
introduced(definition,[new_symbols(definition,[spl36_31])],[avatar_definition]) ).
fof(f970,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ spl36_31 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f971,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| spl36_31 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f973,definition,
( spl36_32
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_32])],[avatar_definition]) ).
fof(f974,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl36_32 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f975,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl36_32 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f977,definition,
( spl36_33
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u2_lattices(sK1) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl36_33])],[avatar_definition]) ).
fof(f978,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u2_lattices(sK1) = X2 )
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f979,plain,
( ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32
| spl36_33 ),
inference(avatar_split_clause,[],[f919,f977,f973,f969,f965,f961,f957,f953]) ).
fof(f985,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) ),
inference(superposition,[],[f424,f907]) ).
fof(f1030,plain,
( m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(superposition,[],[f350,f565]) ).
fof(f1031,plain,
( m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(superposition,[],[f350,f564]) ).
fof(f1032,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1031,f605]) ).
fof(f1033,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f1030,f583]) ).
fof(f1047,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1032,f306]) ).
fof(f1048,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f1033,f306]) ).
fof(f1062,plain,
( ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1047,f305]) ).
fof(f1063,plain,
( ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f1048,f305]) ).
fof(f1064,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1062,f304]) ).
fof(f1065,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f1063,f304]) ).
fof(f1066,plain,
( ~ m1_subset_1(sK3,sF34)
| spl36_8 ),
inference(forward_demodulation,[],[f1064,f495]) ).
fof(f1067,plain,
( ~ m1_subset_1(sK2,sF34)
| spl36_3 ),
inference(forward_demodulation,[],[f1065,f495]) ).
fof(f1068,plain,
( $false
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1066,f496]) ).
fof(f1069,plain,
spl36_8,
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1070,plain,
( $false
| spl36_3 ),
inference(forward_subsumption_resolution,[],[f1067,f500]) ).
fof(f1071,plain,
spl36_3,
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1082,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl36_3 ),
inference(resolution,[],[f582,f334]) ).
fof(f1085,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3 ),
inference(resolution,[],[f582,f464]) ).
fof(f1106,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1085,f594]) ).
fof(f1109,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl36_3
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1082,f594]) ).
fof(f1119,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1106,f590]) ).
fof(f1122,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl36_3
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1109,f590]) ).
fof(f1146,plain,
( k2_filter_2(k1_lattice2(sK1),sK2) = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1119,f586]) ).
fof(f1149,plain,
( k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1122,f586]) ).
fof(f1160,plain,
( sF34 = k2_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_demodulation,[],[f1146,f566]) ).
fof(f1164,plain,
( sF34 = a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_demodulation,[],[f1160,f1149]) ).
fof(f1171,plain,
( k18_filter_2(k1_lattice2(sK1),sK3) = a_2_0_filter_2(k1_lattice2(sK1),sK3)
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl36_8 ),
inference(resolution,[],[f604,f337]) ).
fof(f1183,plain,
( k18_filter_2(k1_lattice2(sK1),sK3) = a_2_0_filter_2(k1_lattice2(sK1),sK3)
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1171,f594]) ).
fof(f1192,plain,
( k18_filter_2(k1_lattice2(sK1),sK3) = a_2_0_filter_2(k1_lattice2(sK1),sK3)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1183,f590]) ).
fof(f1201,plain,
( k18_filter_2(k1_lattice2(sK1),sK3) = a_2_0_filter_2(k1_lattice2(sK1),sK3)
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1192,f586]) ).
fof(f1207,plain,
( a_2_0_filter_0(sK1,sK3) = a_2_0_filter_2(k1_lattice2(sK1),sK3)
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_demodulation,[],[f1201,f578]) ).
fof(f1222,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(superposition,[],[f419,f1207]) ).
fof(f1223,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1222,f594]) ).
fof(f1225,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1223,f590]) ).
fof(f1227,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1225,f586]) ).
fof(f1229,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| sK16(X0,k1_lattice2(sK1),sK3) = X0 )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1227,f604]) ).
fof(f1287,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(sK1)) != a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0)
| ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(superposition,[],[f476,f1149]) ).
fof(f1288,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(sK1)) != a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0)
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1287,f582]) ).
fof(f1289,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(sK1)) != a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0)
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1288,f594]) ).
fof(f1290,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(sK1)) != a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0)
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1289,f590]) ).
fof(f1291,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(sK1)) != a_2_0_filter_0(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f1290,f586]) ).
fof(f1292,plain,
( ! [X0] :
( sF34 != u1_struct_0(k1_lattice2(sK1))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0) )
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(forward_demodulation,[],[f1291,f1164]) ).
fof(f1294,definition,
( spl36_49
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_49])],[avatar_definition]) ).
fof(f1295,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| sK2 = k4_lattices(k1_lattice2(sK1),sK2,X0) )
| ~ spl36_49 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1297,definition,
( spl36_50
<=> sF34 = u1_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_50])],[avatar_definition]) ).
fof(f1298,plain,
( sF34 = u1_struct_0(k1_lattice2(sK1))
| ~ spl36_50 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1299,plain,
( sF34 != u1_struct_0(k1_lattice2(sK1))
| spl36_50 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1300,plain,
( spl36_49
| ~ spl36_50
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6 ),
inference(avatar_split_clause,[],[f1292,f593,f589,f585,f581,f1297,f1294]) ).
fof(f1330,plain,
( ! [X0] :
( sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,X0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(resolution,[],[f1229,f489]) ).
fof(f1333,plain,
( ! [X0] :
( sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,X0)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1330,f306]) ).
fof(f1334,plain,
( ! [X0] :
( sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,X0)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1333,f305]) ).
fof(f1335,plain,
( ! [X0] :
( sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,X0)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1334,f304]) ).
fof(f1336,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ r3_lattices(sK1,sK3,X0)
| ~ m1_subset_1(sK3,u1_struct_0(sK1)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_demodulation,[],[f1335,f495]) ).
fof(f1337,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,sF34)
| ~ m1_subset_1(X0,sF34)
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ r3_lattices(sK1,sK3,X0) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_demodulation,[],[f1336,f495]) ).
fof(f1338,plain,
( ! [X0] :
( ~ r3_lattices(sK1,sK3,X0)
| sK16(X0,k1_lattice2(sK1),sK3) = X0
| ~ m1_subset_1(X0,sF34) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f1337,f496]) ).
fof(f1515,plain,
! [X0] :
( ~ m1_subset_1(X0,sF34)
| k1_lattices(sK1,sK2,X0) = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,X0) ),
inference(resolution,[],[f869,f500]) ).
fof(f1524,plain,
k1_lattices(sK1,sK2,sK3) = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,sK3),
inference(resolution,[],[f1515,f496]) ).
fof(f1528,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ l2_lattices(sK1) ),
inference(superposition,[],[f366,f495]) ).
fof(f1529,plain,
m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34),
inference(forward_subsumption_resolution,[],[f1528,f529]) ).
fof(f1530,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34),
inference(resolution,[],[f1529,f469]) ).
fof(f1531,plain,
spl36_27,
inference(avatar_split_clause,[],[f1530,f953]) ).
fof(f1712,plain,
l1_struct_0(sK1),
inference(resolution,[],[f352,f529]) ).
fof(f1714,plain,
( $false
| ~ spl36_17 ),
inference(forward_subsumption_resolution,[],[f1712,f872]) ).
fof(f1715,plain,
~ spl36_17,
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1973,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ l1_lattices(sK1) ),
inference(superposition,[],[f363,f495]) ).
fof(f1974,plain,
m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34),
inference(forward_subsumption_resolution,[],[f1973,f530]) ).
fof(f1975,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34),
inference(resolution,[],[f1974,f469]) ).
fof(f1976,plain,
spl36_30,
inference(avatar_split_clause,[],[f1975,f965]) ).
fof(f2171,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f342,f311]) ).
fof(f2172,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f2171,f341]) ).
fof(f2634,plain,
( ~ l1_lattices(sK1)
| spl36_32 ),
inference(resolution,[],[f365,f975]) ).
fof(f2635,plain,
( $false
| spl36_32 ),
inference(forward_subsumption_resolution,[],[f2634,f530]) ).
fof(f2636,plain,
spl36_32,
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2776,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(resolution,[],[f474,f420]) ).
fof(f2778,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f2776]) ).
fof(f2784,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f2778,f317]) ).
fof(f2787,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f2784,f315]) ).
fof(f2790,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,a_2_0_filter_2(X0,X3))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f2787,f314]) ).
fof(f2796,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF34)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r3_lattices(sK1,X1,X1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(superposition,[],[f2790,f518]) ).
fof(f2802,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF34)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r3_lattices(sK1,X1,X1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2796,f304]) ).
fof(f2805,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF34)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r3_lattices(sK1,X1,X1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2802,f306]) ).
fof(f2808,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF34)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r3_lattices(sK1,X1,X1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2805,f305]) ).
fof(f2811,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF34)
| ~ r2_hidden(X0,sF34)
| r3_lattices(sK1,X1,X1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f2808,f495]) ).
fof(f2823,plain,
! [X0,X1] :
( ~ m1_subset_1(sK2,sF34)
| ~ m1_subset_1(X1,sF34)
| ~ r2_hidden(X0,sF34)
| r3_lattices(sK1,X1,X1) ),
inference(forward_demodulation,[],[f2811,f495]) ).
fof(f2824,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF34)
| ~ r2_hidden(X0,sF34)
| r3_lattices(sK1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f2823,f500]) ).
fof(f2826,definition,
( spl36_70
<=> ! [X0] : ~ r2_hidden(X0,sF34) ),
introduced(definition,[new_symbols(definition,[spl36_70])],[avatar_definition]) ).
fof(f2827,plain,
( ! [X0] : ~ r2_hidden(X0,sF34)
| ~ spl36_70 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2829,definition,
( spl36_71
<=> ! [X1] :
( ~ m1_subset_1(X1,sF34)
| r3_lattices(sK1,X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl36_71])],[avatar_definition]) ).
fof(f2830,plain,
( ! [X1] :
( r3_lattices(sK1,X1,X1)
| ~ m1_subset_1(X1,sF34) )
| ~ spl36_71 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f2831,plain,
( spl36_70
| spl36_71 ),
inference(avatar_split_clause,[],[f2824,f2829,f2826]) ).
fof(f2833,plain,
( $false
| ~ spl36_19
| ~ spl36_70 ),
inference(resolution,[],[f2827,f815]) ).
fof(f2838,plain,
( ~ spl36_19
| ~ spl36_70 ),
inference(avatar_contradiction_clause,[],[f2833]) ).
fof(f2843,plain,
( ~ m1_subset_1(sK3,sF34)
| sK3 = sK16(sK3,k1_lattice2(sK1),sK3)
| ~ m1_subset_1(sK3,sF34)
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_71 ),
inference(resolution,[],[f2830,f1338]) ).
fof(f2846,plain,
( ~ m1_subset_1(sK3,sF34)
| sK3 = sK16(sK3,k1_lattice2(sK1),sK3)
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_71 ),
inference(duplicate_literal_removal,[],[f2843]) ).
fof(f2850,plain,
( sK3 = sK16(sK3,k1_lattice2(sK1),sK3)
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_71 ),
inference(forward_subsumption_resolution,[],[f2846,f496]) ).
fof(f2866,definition,
( spl36_73
<=> r2_hidden(sK3,a_2_0_filter_0(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl36_73])],[avatar_definition]) ).
fof(f2867,plain,
( r2_hidden(sK3,a_2_0_filter_0(sK1,sK3))
| ~ spl36_73 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f2868,plain,
( ~ r2_hidden(sK3,a_2_0_filter_0(sK1,sK3))
| spl36_73 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f2934,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl36_73 ),
inference(resolution,[],[f2868,f489]) ).
fof(f2935,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl36_73 ),
inference(duplicate_literal_removal,[],[f2934]) ).
fof(f2936,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl36_73 ),
inference(forward_subsumption_resolution,[],[f2935,f306]) ).
fof(f2937,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,sK3)
| ~ l3_lattices(sK1)
| spl36_73 ),
inference(forward_subsumption_resolution,[],[f2936,f305]) ).
fof(f2938,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r3_lattices(sK1,sK3,sK3)
| spl36_73 ),
inference(forward_subsumption_resolution,[],[f2937,f304]) ).
fof(f2939,plain,
( ~ m1_subset_1(sK3,sF34)
| ~ r3_lattices(sK1,sK3,sK3)
| spl36_73 ),
inference(forward_demodulation,[],[f2938,f495]) ).
fof(f2940,plain,
( ~ m1_subset_1(sK3,sF34)
| ~ spl36_71
| spl36_73 ),
inference(forward_subsumption_resolution,[],[f2939,f2830]) ).
fof(f2941,plain,
( $false
| ~ spl36_71
| spl36_73 ),
inference(forward_subsumption_resolution,[],[f2940,f496]) ).
fof(f2942,plain,
( ~ spl36_71
| spl36_73 ),
inference(avatar_contradiction_clause,[],[f2941]) ).
fof(f2947,plain,
( sK3 = sK15(sK3,sK1,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl36_73 ),
inference(resolution,[],[f2867,f415]) ).
fof(f2949,plain,
( sK3 = sK15(sK3,sK1,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f2947,f306]) ).
fof(f2952,plain,
( sK3 = sK15(sK3,sK1,sK3)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f2949,f305]) ).
fof(f2955,plain,
( sK3 = sK15(sK3,sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f2952,f304]) ).
fof(f2958,plain,
( ~ m1_subset_1(sK3,sF34)
| sK3 = sK15(sK3,sK1,sK3)
| ~ spl36_73 ),
inference(forward_demodulation,[],[f2955,f495]) ).
fof(f2961,plain,
( sK3 = sK15(sK3,sK1,sK3)
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f2958,f496]) ).
fof(f3279,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(superposition,[],[f747,f1207]) ).
fof(f3283,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f3279,f594]) ).
fof(f3288,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f3283,f590]) ).
fof(f3293,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3))
| ~ m1_subset_1(sK3,u1_struct_0(k1_lattice2(sK1))) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f3288,f586]) ).
fof(f3298,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK1,sK3))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X1,sK16(X0,k1_lattice2(sK1),sK3)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f3293,f604]) ).
fof(f4393,plain,
( ! [X0] :
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(resolution,[],[f794,f2867]) ).
fof(f4405,plain,
( ! [X0] :
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f4393,f306]) ).
fof(f4412,plain,
( ! [X0] :
( ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f4405,f305]) ).
fof(f4419,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f4412,f304]) ).
fof(f4426,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,sF34)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_demodulation,[],[f4419,f495]) ).
fof(f4431,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f4426,f496]) ).
fof(f4436,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| k3_lattices(sK1,X0,sK15(sK3,sK1,sK3)) = k1_lattices(sK1,X0,sK15(sK3,sK1,sK3)) )
| ~ spl36_73 ),
inference(forward_demodulation,[],[f4431,f495]) ).
fof(f4439,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| k3_lattices(sK1,X0,sK3) = k1_lattices(sK1,X0,sK3) )
| ~ spl36_73 ),
inference(forward_demodulation,[],[f4436,f2961]) ).
fof(f4445,plain,
( k3_lattices(sK1,sK2,sK3) = k1_lattices(sK1,sK2,sK3)
| ~ spl36_73 ),
inference(resolution,[],[f4439,f500]) ).
fof(f4449,plain,
( sF33 = k1_lattices(sK1,sK2,sK3)
| ~ spl36_73 ),
inference(forward_demodulation,[],[f4445,f492]) ).
fof(f5783,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ l2_lattices(sK1) ),
inference(superposition,[],[f367,f495]) ).
fof(f5784,plain,
( ~ l2_lattices(sK1)
| spl36_28 ),
inference(forward_subsumption_resolution,[],[f5783,f959]) ).
fof(f5785,plain,
( $false
| spl36_28 ),
inference(forward_subsumption_resolution,[],[f5784,f529]) ).
fof(f5786,plain,
spl36_28,
inference(avatar_contradiction_clause,[],[f5785]) ).
fof(f5787,plain,
( ~ l2_lattices(sK1)
| spl36_29 ),
inference(resolution,[],[f963,f368]) ).
fof(f5788,plain,
( $false
| spl36_29 ),
inference(forward_subsumption_resolution,[],[f5787,f529]) ).
fof(f5789,plain,
spl36_29,
inference(avatar_contradiction_clause,[],[f5788]) ).
fof(f5894,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X0,sK16(sK3,k1_lattice2(sK1),sK3)) = k2_lattices(k1_lattice2(sK1),X0,sK16(sK3,k1_lattice2(sK1),sK3)) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_73 ),
inference(resolution,[],[f3298,f2867]) ).
fof(f5898,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k4_lattices(k1_lattice2(sK1),X0,sK3) = k2_lattices(k1_lattice2(sK1),X0,sK3) )
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_demodulation,[],[f5894,f2850]) ).
fof(f5913,plain,
( k2_lattices(k1_lattice2(sK1),sK2,sK3) = k4_lattices(k1_lattice2(sK1),sK2,sK3)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_71
| ~ spl36_73 ),
inference(resolution,[],[f5898,f582]) ).
fof(f6709,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ l1_lattices(sK1) ),
inference(superposition,[],[f364,f495]) ).
fof(f6710,plain,
( ~ l1_lattices(sK1)
| spl36_31 ),
inference(forward_subsumption_resolution,[],[f6709,f971]) ).
fof(f6711,plain,
( $false
| spl36_31 ),
inference(forward_subsumption_resolution,[],[f6710,f530]) ).
fof(f6712,plain,
spl36_31,
inference(avatar_contradiction_clause,[],[f6711]) ).
fof(f6715,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) )
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f985,f974]) ).
fof(f6718,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) )
| ~ spl36_31
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f6715,f970]) ).
fof(f6721,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) )
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f6718,f966]) ).
fof(f6723,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) )
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f6721,f962]) ).
fof(f6725,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sF34,sF34),sF34) )
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f6723,f958]) ).
fof(f6727,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| sF34 = X0 )
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(forward_subsumption_resolution,[],[f6725,f954]) ).
fof(f7343,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))),
inference(resolution,[],[f2172,f304]) ).
fof(f7356,plain,
( k1_lattice2(sK1) != k1_lattice2(sK1)
| u2_lattices(sK1) = u1_lattices(k1_lattice2(sK1))
| ~ spl36_33 ),
inference(superposition,[],[f978,f7343]) ).
fof(f7359,plain,
( k1_lattice2(sK1) != k1_lattice2(sK1)
| sF34 = u1_struct_0(k1_lattice2(sK1))
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(superposition,[],[f6727,f7343]) ).
fof(f7360,plain,
( sF34 = u1_struct_0(k1_lattice2(sK1))
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32 ),
inference(trivial_inequality_removal,[],[f7359]) ).
fof(f7363,plain,
( u2_lattices(sK1) = u1_lattices(k1_lattice2(sK1))
| ~ spl36_33 ),
inference(trivial_inequality_removal,[],[f7356]) ).
fof(f7365,plain,
( $false
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32
| spl36_50 ),
inference(forward_subsumption_resolution,[],[f7360,f1299]) ).
fof(f7366,plain,
( ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32
| spl36_50 ),
inference(avatar_contradiction_clause,[],[f7365]) ).
fof(f7466,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| k2_lattices(k1_lattice2(sK1),X1,X0) = k2_binop_1(sF34,sF34,sF34,u1_lattices(k1_lattice2(sK1)),X1,X0)
| ~ m1_subset_1(X1,sF34)
| v3_struct_0(k1_lattice2(sK1))
| ~ l1_lattices(k1_lattice2(sK1)) )
| ~ spl36_50 ),
inference(superposition,[],[f333,f1298]) ).
fof(f7531,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| k2_lattices(k1_lattice2(sK1),X1,X0) = k2_binop_1(sF34,sF34,sF34,u1_lattices(k1_lattice2(sK1)),X1,X0)
| ~ m1_subset_1(X1,sF34)
| ~ l1_lattices(k1_lattice2(sK1)) )
| spl36_6
| ~ spl36_50 ),
inference(forward_subsumption_resolution,[],[f7466,f594]) ).
fof(f7576,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF34)
| k2_lattices(k1_lattice2(sK1),X1,X0) = k2_binop_1(sF34,sF34,sF34,u1_lattices(k1_lattice2(sK1)),X1,X0)
| ~ m1_subset_1(X1,sF34) )
| ~ spl36_4
| spl36_6
| ~ spl36_50 ),
inference(forward_subsumption_resolution,[],[f7531,f648]) ).
fof(f7608,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF34)
| ~ m1_subset_1(X0,sF34)
| k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),X1,X0) = k2_lattices(k1_lattice2(sK1),X1,X0) )
| ~ spl36_4
| spl36_6
| ~ spl36_33
| ~ spl36_50 ),
inference(forward_demodulation,[],[f7576,f7363]) ).
fof(f7657,plain,
( sK2 = k4_lattices(k1_lattice2(sK1),sK2,sK3)
| ~ spl36_8
| ~ spl36_49 ),
inference(resolution,[],[f1295,f604]) ).
fof(f8290,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF34)
| k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,X0) = k2_lattices(k1_lattice2(sK1),sK2,X0) )
| ~ spl36_4
| spl36_6
| ~ spl36_33
| ~ spl36_50 ),
inference(resolution,[],[f7608,f500]) ).
fof(f8299,plain,
( k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,sK3) = k2_lattices(k1_lattice2(sK1),sK2,sK3)
| ~ spl36_4
| spl36_6
| ~ spl36_33
| ~ spl36_50 ),
inference(resolution,[],[f8290,f496]) ).
fof(f8304,plain,
( k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,sK3) = k4_lattices(k1_lattice2(sK1),sK2,sK3)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_demodulation,[],[f8299,f5913]) ).
fof(f8309,plain,
( sK2 = k2_binop_1(sF34,sF34,sF34,u2_lattices(sK1),sK2,sK3)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_demodulation,[],[f8304,f7657]) ).
fof(f8311,plain,
( sK2 = k1_lattices(sK1,sK2,sK3)
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_demodulation,[],[f8309,f1524]) ).
fof(f8313,plain,
( sK2 = sF33
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_demodulation,[],[f8311,f4449]) ).
fof(f8314,plain,
( $false
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(forward_subsumption_resolution,[],[f8313,f493]) ).
fof(f8315,plain,
( ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(avatar_contradiction_clause,[],[f8314]) ).
cnf(s6,plain,
spl36_4,
inference(sat_conversion,[],[f647]) ).
cnf(s7,plain,
spl36_5,
inference(sat_conversion,[],[f686]) ).
cnf(s9,plain,
~ spl36_6,
inference(sat_conversion,[],[f696]) ).
cnf(s12,plain,
( spl36_17
| spl36_19 ),
inference(sat_conversion,[],[f816]) ).
cnf(s14,plain,
( ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32
| spl36_33 ),
inference(sat_conversion,[],[f979]) ).
cnf(s15,plain,
spl36_8,
inference(sat_conversion,[],[f1069]) ).
cnf(s16,plain,
spl36_3,
inference(sat_conversion,[],[f1071]) ).
cnf(s24,plain,
( ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| spl36_49
| ~ spl36_50 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s28,plain,
spl36_27,
inference(sat_conversion,[],[f1531]) ).
cnf(s29,plain,
~ spl36_17,
inference(sat_conversion,[],[f1715]) ).
cnf(s38,plain,
spl36_30,
inference(sat_conversion,[],[f1976]) ).
cnf(s46,plain,
spl36_32,
inference(sat_conversion,[],[f2636]) ).
cnf(s50,plain,
( spl36_70
| spl36_71 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s51,plain,
( ~ spl36_19
| ~ spl36_70 ),
inference(sat_conversion,[],[f2838]) ).
cnf(s56,plain,
( ~ spl36_71
| spl36_73 ),
inference(sat_conversion,[],[f2942]) ).
cnf(s88,plain,
spl36_28,
inference(sat_conversion,[],[f5786]) ).
cnf(s89,plain,
spl36_29,
inference(sat_conversion,[],[f5789]) ).
cnf(s102,plain,
spl36_31,
inference(sat_conversion,[],[f6712]) ).
cnf(s110,plain,
( ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_32
| spl36_50 ),
inference(sat_conversion,[],[f7366]) ).
cnf(s113,plain,
( ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| ~ spl36_8
| ~ spl36_33
| ~ spl36_49
| ~ spl36_50
| ~ spl36_71
| ~ spl36_73 ),
inference(sat_conversion,[],[f8315]) ).
cnf(s117,plain,
spl36_50,
inference(rat,[],[s110,s38,s46,s102,s88,s89,s28]) ).
cnf(s119,plain,
( ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| spl36_6
| spl36_49 ),
inference(rat,[],[s24,s117]) ).
cnf(s120,plain,
spl36_33,
inference(rat,[],[s14,s46,s102,s38,s89,s88,s28]) ).
cnf(s121,plain,
spl36_19,
inference(rat,[],[s12,s29]) ).
cnf(s122,plain,
~ spl36_70,
inference(rat,[],[s51,s121]) ).
cnf(s124,plain,
spl36_71,
inference(rat,[],[s50,s122]) ).
cnf(s126,plain,
spl36_73,
inference(rat,[],[s56,s124]) ).
cnf(s135,plain,
~ spl36_49,
inference(rat,[],[s113,s126,s124,s117,s7,s120,s15,s9,s16,s6]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s119,s7,s9,s16,s135,s6]) ).
fof(f8316,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT308+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:27:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.79/3.63 % (865877)Detected formulas, will run a generic FOF schedule.
% 19.79/3.63 % (865974)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=615483214:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.79/3.63 % (865974)Refutation not found, incomplete strategy
% 19.79/3.63 % (865974)------------------------------
% 19.79/3.63 % (865974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.63 % (865974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.63 % (865974)CaDiCaL version: 2.1.3
% 19.79/3.63 % (865974)Termination reason: Refutation not found, incomplete strategy
% 19.79/3.63 % (865974)Time elapsed: 0.001 s
% 19.79/3.63 % (865974)Peak memory usage: 88 MB
% 19.79/3.63 % (865974)Instructions burned: 1 (million)
% 19.79/3.63 % (865975)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2527677405:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.79/3.63 % (865971)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=2399449012:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.79/3.63 % (865973)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=70520935:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.79/3.63 % (865972)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=1145859021:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.79/3.63 % (865970)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=1370872992:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.79/3.63 % (865973)Refutation not found, incomplete strategy
% 19.79/3.63 % (865973)------------------------------
% 19.79/3.63 % (865973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.63 % (865973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.63 % (865973)CaDiCaL version: 2.1.3
% 19.79/3.63 % (865973)Termination reason: Refutation not found, incomplete strategy
% 19.79/3.63 % (865973)Time elapsed: 0.002 s
% 19.79/3.63 % (865973)Peak memory usage: 88 MB
% 19.79/3.63 % (865976)dis-21_1_sil=8000:lcm=predicate:random_seed=651310927: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)
% 19.79/3.63 % (865975)Instruction limit reached!
% 19.79/3.63 % (865975)------------------------------
% 19.79/3.63 % (865975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.63 % (865975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.63 % (865975)CaDiCaL version: 2.1.3
% 19.79/3.63 % (865975)Termination reason: Instruction limit
% 19.79/3.63 % (865975)Termination phase: Saturation
% 19.79/3.63 % (865975)Time elapsed: 0.098 s
% 19.79/3.63 % (865975)Peak memory usage: 90 MB
% 19.79/3.63 % (865975)Instructions burned: 139 (million)
% 19.79/3.63 % (865974)------------------------------
% 19.79/3.63 % (865974)------------------------------
% 19.79/3.63 % (865976)Instruction limit reached!
% 19.79/3.63 % (865976)------------------------------
% 19.79/3.63 % (865976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.63 % (865976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.63 % (865976)CaDiCaL version: 2.1.3
% 19.79/3.63 % (865976)Termination reason: Instruction limit
% 19.79/3.63 % (865976)Termination phase: Saturation
% 19.79/3.63 % (865976)Time elapsed: 0.123 s
% 19.79/3.63 % (865976)Peak memory usage: 92 MB
% 19.79/3.63 % (865976)Instructions burned: 130 (million)
% 19.79/3.63 % (865973)------------------------------
% 19.79/3.63 % (865973)------------------------------
% 19.79/3.63 % (865997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2320939313:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 19.79/3.63 % (865998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2679673850:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.79/3.63 % (865998)Refutation not found, incomplete strategy
% 19.79/3.63 % (865998)------------------------------
% 19.79/3.63 % (865998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.63 % (865998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.63 % (865998)CaDiCaL version: 2.1.3
% 21.71/3.99 % (865998)Termination reason: Refutation not found, incomplete strategy
% 21.71/3.99 % (865998)Time elapsed: 0.004 s
% 21.71/3.99 % (865998)Peak memory usage: 89 MB
% 21.71/3.99 % (865998)Instructions burned: 3 (million)
% 21.71/3.99 % (865999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=978233937:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 21.71/3.99 % (865999)Instruction limit reached!
% 21.71/3.99 % (865999)------------------------------
% 21.71/3.99 % (865999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (865999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (865999)CaDiCaL version: 2.1.3
% 21.71/3.99 % (865999)Termination reason: Instruction limit
% 21.71/3.99 % (865999)Termination phase: Saturation
% 21.71/3.99 % (865999)Time elapsed: 0.111 s
% 21.71/3.99 % (865999)Peak memory usage: 91 MB
% 21.71/3.99 % (865999)Instructions burned: 327 (million)
% 21.71/3.99 % (866000)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=321344858:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.71/3.99 % (865997)Instruction limit reached!
% 21.71/3.99 % (865997)------------------------------
% 21.71/3.99 % (865997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (865997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (865997)CaDiCaL version: 2.1.3
% 21.71/3.99 % (865997)Termination reason: Instruction limit
% 21.71/3.99 % (865997)Termination phase: Saturation
% 21.71/3.99 % (865997)Time elapsed: 0.160 s
% 21.71/3.99 % (865997)Peak memory usage: 92 MB
% 21.71/3.99 % (865997)Instructions burned: 286 (million)
% 21.71/3.99 % (865998)------------------------------
% 21.71/3.99 % (865998)------------------------------
% 21.71/3.99 % (866005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1889422930:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.71/3.99 % (866005)Refutation not found, incomplete strategy
% 21.71/3.99 % (866005)------------------------------
% 21.71/3.99 % (866005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866005)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866005)Termination reason: Refutation not found, incomplete strategy
% 21.71/3.99 % (866005)Time elapsed: 0.002 s
% 21.71/3.99 % (866005)Peak memory usage: 88 MB
% 21.71/3.99 % (866005)Instructions burned: 4 (million)
% 21.71/3.99 % (866000)Instruction limit reached!
% 21.71/3.99 % (866000)------------------------------
% 21.71/3.99 % (866000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866000)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866000)Termination reason: Instruction limit
% 21.71/3.99 % (866000)Termination phase: Saturation
% 21.71/3.99 % (866000)Time elapsed: 0.138 s
% 21.71/3.99 % (866000)Peak memory usage: 93 MB
% 21.71/3.99 % (866000)Instructions burned: 250 (million)
% 21.71/3.99 % (866006)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3108586903:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.71/3.99 % (866008)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1291801639:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.71/3.99 % (866005)------------------------------
% 21.71/3.99 % (866005)------------------------------
% 21.71/3.99 % (866010)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3698771901:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.71/3.99 % (866008)Instruction limit reached!
% 21.71/3.99 % (866008)------------------------------
% 21.71/3.99 % (866008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866008)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866008)Termination reason: Instruction limit
% 21.71/3.99 % (866008)Termination phase: Saturation
% 21.71/3.99 % (866008)Time elapsed: 0.107 s
% 21.71/3.99 % (866008)Peak memory usage: 91 MB
% 21.71/3.99 % (866008)Instructions burned: 114 (million)
% 21.71/3.99 % (866010)Instruction limit reached!
% 21.71/3.99 % (866010)------------------------------
% 21.71/3.99 % (866010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866010)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866010)Termination reason: Instruction limit
% 21.71/3.99 % (866010)Termination phase: Saturation
% 21.71/3.99 % (866010)Time elapsed: 0.100 s
% 21.71/3.99 % (866010)Peak memory usage: 89 MB
% 21.71/3.99 % (866010)Instructions burned: 127 (million)
% 21.71/3.99 % (866020)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1837587819:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 21.71/3.99 % (866020)Refutation not found, incomplete strategy
% 21.71/3.99 % (866020)------------------------------
% 21.71/3.99 % (866020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866020)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866020)Termination reason: Refutation not found, incomplete strategy
% 21.71/3.99 % (866020)Time elapsed: 0.003 s
% 21.71/3.99 % (866020)Peak memory usage: 89 MB
% 21.71/3.99 % (866020)Instructions burned: 4 (million)
% 21.71/3.99 % (866022)lrs+10_1_sil=8000:sp=occurrence:random_seed=1395016671:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 21.71/3.99 % (866023)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3721621944:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 21.71/3.99 % (866020)------------------------------
% 21.71/3.99 % (866020)------------------------------
% 21.71/3.99 % (866023)Refutation not found, incomplete strategy
% 21.71/3.99 % (866023)------------------------------
% 21.71/3.99 % (866023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866023)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866023)Termination reason: Refutation not found, incomplete strategy
% 21.71/3.99 % (866023)Time elapsed: 0.011 s
% 21.71/3.99 % (866023)Peak memory usage: 88 MB
% 21.71/3.99 % (866023)Instructions burned: 10 (million)
% 21.71/3.99 % (866037)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2015066673:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 21.71/3.99 % (866023)------------------------------
% 21.71/3.99 % (866023)------------------------------
% 21.71/3.99 % (866044)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2557154913:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 21.71/3.99 % (866022)Instruction limit reached!
% 21.71/3.99 % (866022)------------------------------
% 21.71/3.99 % (866022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866022)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866022)Termination reason: Instruction limit
% 21.71/3.99 % (866022)Termination phase: Saturation
% 21.71/3.99 % (866022)Time elapsed: 0.732 s
% 21.71/3.99 % (866022)Peak memory usage: 99 MB
% 21.71/3.99 % (866022)Instructions burned: 907 (million)
% 21.71/3.99 % (866044)Instruction limit reached!
% 21.71/3.99 % (866044)------------------------------
% 21.71/3.99 % (866044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866044)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866044)Termination reason: Instruction limit
% 21.71/3.99 % (866044)Termination phase: Saturation
% 21.71/3.99 % (866044)Time elapsed: 0.118 s
% 21.71/3.99 % (866044)Peak memory usage: 91 MB
% 21.71/3.99 % (866044)Instructions burned: 134 (million)
% 21.71/3.99 % (866053)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3625953195:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 21.71/3.99 % (866055)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1864299863:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 21.71/3.99 % (865970)First to succeed.
% 21.71/3.99 % (865970)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-865877"
% 21.71/3.99 % (866053)Instruction limit reached!
% 21.71/3.99 % (866053)------------------------------
% 21.71/3.99 % (866053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866053)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866053)Termination reason: Instruction limit
% 21.71/3.99 % (866053)Termination phase: Saturation
% 21.71/3.99 % (866053)Time elapsed: 0.525 s
% 21.71/3.99 % (866053)Peak memory usage: 92 MB
% 21.71/3.99 % (866053)Instructions burned: 593 (million)
% 21.71/3.99 % (866066)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=664495549:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 21.71/3.99 % (866006)Instruction limit reached!
% 21.71/3.99 % (866006)------------------------------
% 21.71/3.99 % (866006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.71/3.99 % (866006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.71/3.99 % (866006)CaDiCaL version: 2.1.3
% 21.71/3.99 % (866006)Termination reason: Instruction limit
% 21.71/3.99 % (866006)Termination phase: Saturation
% 21.71/3.99 % (866006)Time elapsed: 2.360 s
% 21.71/3.99 % (866006)Peak memory usage: 141 MB
% 21.71/3.99 % (866006)Instructions burned: 2350 (million)
% 21.71/3.99 % (865970)Refutation found. Thanks to Tanya!
% 21.71/3.99 % SZS status Theorem for theBenchmark
% 21.71/3.99 % SZS output start Proof for theBenchmark
% See solution above
% 22.81/4.28 % (865970)------------------------------
% 22.81/4.28 % (865970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.81/4.28 % (865970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.81/4.28 % (865970)CaDiCaL version: 2.1.3
% 22.81/4.28 % (865970)Termination reason: Refutation
% 22.81/4.28 % (865970)Time elapsed: 2.523 s
% 22.81/4.28 % (865970)Peak memory usage: 142 MB
% 22.81/4.28 % (865970)Instructions burned: 2548 (million)
% 22.81/4.28 % (865970)------------------------------
% 22.81/4.28 % (865970)------------------------------
% 22.81/4.28 % (865877)Success in time 3.135 s
% 22.81/4.28 % Vampire exiting
%------------------------------------------------------------------------------