%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 01:02:36 PM UTC 2026
% Result : Theorem 9.78s 2.12s
% Output : CNFRefutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 10
% Syntax : Number of formulae : 154 ( 24 unt; 0 def)
% Number of atoms : 969 ( 177 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 1461 ( 646 ~; 694 |; 86 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 373 ( 369 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k7_lattices(A,C) = k7_lattices(B,D) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k7_lattices(A,C) = k7_lattices(B,D) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v17_lattices(A)
& ~ v3_struct_0(A) )
=> ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( ( l3_lattices(A)
& v16_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k7_lattices(A,B)
<=> r2_lattices(A,C,B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A] :
( l1_lattices(A)
=> ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [A] :
( l2_lattices(A)
=> ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g3_lattices(A,B,C) = g3_lattices(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [A] :
( ( l3_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v16_lattices(B)
& v15_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( r2_lattices(A,C,D)
& D = F
& C = E )
=> r2_lattices(B,E,F) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( k7_lattices(A,C) != k7_lattices(B,D)
& C = D
& m1_subset_1(D,u1_struct_0(B)) )
& m1_subset_1(C,u1_struct_0(A)) )
& g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
& l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
& l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( k7_lattices(sK0_skl,sK2_skl) != k7_lattices(sK1_skl,sK3_skl)
& sK2_skl = sK3_skl
& m1_subset_1(sK3_skl,u1_struct_0(sK1_skl))
& m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
& g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) = g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl))
& l3_lattices(sK1_skl)
& v17_lattices(sK1_skl)
& v10_lattices(sK1_skl)
& ~ v3_struct_0(sK1_skl)
& l3_lattices(sK0_skl)
& v17_lattices(sK0_skl)
& v10_lattices(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f75]) ).
fof(f77,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
v10_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f79,plain,
v17_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f80,plain,
l3_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f81,plain,
~ v3_struct_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f82,plain,
v10_lattices(sK1_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f83,plain,
v17_lattices(sK1_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f84,plain,
l3_lattices(sK1_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f85,plain,
g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) = g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f86,plain,
m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f88,plain,
sK2_skl = sK3_skl,
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f89,plain,
k7_lattices(sK0_skl,sK2_skl) != k7_lattices(sK1_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f121,plain,
! [A] :
( ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) )
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f123,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f126,plain,
! [X0] :
( v15_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f127,plain,
! [X0] :
( v16_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f141,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k7_lattices(A,B)
<=> r2_lattices(A,C,B) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f142,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ~ r2_lattices(A,C,B)
| C = k7_lattices(A,B) )
& ( r2_lattices(A,C,B)
| C != k7_lattices(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [X0,X1,X2] :
( r2_lattices(X0,X2,X1)
| X2 != k7_lattices(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ r2_lattices(X0,X2,X1)
| X2 = k7_lattices(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f148,plain,
! [A,B] :
( m1_subset_1(k7_lattices(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f154,plain,
! [A] :
( ( l2_lattices(A)
& l1_lattices(A) )
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f155,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f159,plain,
! [A] :
( ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) )
| ~ l1_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f160,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,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,[status(thm)],[f159]) ).
fof(f162,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,[status(thm)],[f159]) ).
fof(f163,plain,
! [A] :
( ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) )
| ~ l2_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f164,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,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,[status(thm)],[f163]) ).
fof(f166,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,[status(thm)],[f163]) ).
fof(f214,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g3_lattices(A,B,C) != g3_lattices(D,E,F) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4,X5] :
( X1 = X3
| g3_lattices(X1,X0,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X4
| g3_lattices(X1,X0,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5] :
( X2 = X5
| g3_lattices(X1,X0,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f326,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f64]) ).
fof(f327,plain,
( ! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ! [A,B,C] :
( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f326]) ).
fof(f328,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f332,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( r2_lattices(B,E,F)
| ~ r2_lattices(A,C,D)
| D != F
| C != E
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) != g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
| ~ l3_lattices(B)
| ~ v16_lattices(B)
| ~ v15_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B) )
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f66]) ).
fof(f333,plain,
! [X0,X1,X2,X3,X4,X5] :
( r2_lattices(X1,X4,X5)
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f357,plain,
k7_lattices(sK0_skl,sK2_skl) != k7_lattices(sK1_skl,sK2_skl),
inference(forward_demodulation,[status(thm)],[f88,f89]) ).
fof(f359,plain,
! [X0,X1,X2] :
( r2_lattices(X0,X2,X1)
| X2 != k7_lattices(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f143]) ).
fof(f360,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f359]) ).
fof(f361,plain,
! [X0,X1,X2] :
( ~ r2_lattices(X0,X2,X1)
| X2 = k7_lattices(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f144]) ).
fof(f362,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f360,f149]) ).
fof(f363,plain,
! [X0,X1,X2,X3] :
( r2_lattices(X1,X2,X3)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f333]) ).
fof(f364,plain,
( v11_lattices(sK1_skl)
| ~ v17_lattices(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f123,f84]) ).
fof(f366,plain,
( v11_lattices(sK1_skl)
| ~ v17_lattices(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f81]) ).
fof(f368,plain,
v11_lattices(sK1_skl),
inference(resolution,[status(thm)],[f366,f83]) ).
fof(f489,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f127,f362]) ).
fof(f490,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f489]) ).
fof(f491,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f123]) ).
fof(f578,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(resolution,[status(thm)],[f160,f155]) ).
fof(f585,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(resolution,[status(thm)],[f164,f156]) ).
fof(f598,plain,
! [X0,X1,X2,X3,X4,X5] :
( u1_lattices(X0) = X5
| g3_lattices(X2,X1,u1_lattices(X0)) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f578,f217]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4,X5] :
( X1 = X4
| g3_lattices(X2,X1,u1_lattices(X0)) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f578,f216]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4,X5] :
( X2 = X3
| g3_lattices(X2,X1,u1_lattices(X0)) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f578,f215]) ).
fof(f638,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[status(thm)],[f162,f328]) ).
fof(f658,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[status(thm)],[f166,f328]) ).
fof(f784,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[status(thm)],[f638,f155]) ).
fof(f786,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[status(thm)],[f658,f156]) ).
fof(f830,plain,
! [X0,X1,X2,X3,X4] :
( u1_lattices(X0) = X4
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f784,f598]) ).
fof(f831,plain,
! [X0,X1,X2,X3,X4] :
( u1_struct_0(X0) = X2
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f784,f600]) ).
fof(f832,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X3
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f784,f599]) ).
fof(f836,plain,
! [X0,X1,X2,X3,X4] :
( u1_lattices(X0) = X4
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f830]) ).
fof(f837,plain,
! [X0,X1,X2,X3,X4] :
( u1_struct_0(X0) = X2
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f831]) ).
fof(f838,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X3
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f832]) ).
fof(f841,plain,
! [X0,X1,X2,X3] :
( X2 = k7_lattices(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f363,f361]) ).
fof(f842,plain,
! [X0,X1,X2,X3] :
( X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f841]) ).
fof(f858,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = X4
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f836,f161]) ).
fof(f859,plain,
! [X0,X1,X2,X3,X4] :
( u1_lattices(X0) = X4
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f155]) ).
fof(f860,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u1_lattices(X0) = X3
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f859,f165]) ).
fof(f862,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u1_lattices(X0) = X3
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f164]) ).
fof(f911,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1_lattices(X0)
| u1_struct_0(X0) = X2
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f837,f161]) ).
fof(f912,plain,
! [X0,X1,X2,X3,X4] :
( u1_struct_0(X0) = X2
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f911,f155]) ).
fof(f913,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1_lattices(X0)
| X1 = X3
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f838,f161]) ).
fof(f914,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X3
| g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f155]) ).
fof(f919,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u1_lattices(X0) = X3
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f786,f862]) ).
fof(f926,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u1_lattices(X0) = X3
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f919]) ).
fof(f927,plain,
! [X0,X1,X2,X3] :
( u1_lattices(X0) = X3
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f156]) ).
fof(f1015,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f842,f127]) ).
fof(f1020,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1015]) ).
fof(f1021,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f126]) ).
fof(f1048,plain,
! [X0,X1,X2] :
( u1_lattices(sK1_skl) = X2
| g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl)) != g3_lattices(X0,X1,X2) ),
inference(resolution,[status(thm)],[f927,f84]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( u1_lattices(sK1_skl) = X2
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2) ),
inference(forward_demodulation,[status(thm)],[f85,f1048]) ).
fof(f1123,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f1021,f127]) ).
fof(f1128,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X0)
| ~ v17_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1123]) ).
fof(f1129,plain,
! [X0,X1,X2,X3] :
( ~ v17_lattices(X0)
| ~ v17_lattices(X1)
| X2 = k7_lattices(X1,X3)
| ~ v11_lattices(X1)
| ~ r2_lattices(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f126]) ).
fof(f1155,plain,
u1_lattices(sK1_skl) = u1_lattices(sK0_skl),
inference(equality_resolution,[status(thm)],[f1057]) ).
fof(f1158,plain,
g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) = g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK0_skl)),
inference(backward_demodulation,[status(thm)],[f1155,f85]) ).
fof(f1524,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = X2
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f914,f165]) ).
fof(f1527,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = X2
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1524,f164]) ).
fof(f1532,plain,
! [X0,X1,X2,X3] :
( ~ l3_lattices(X0)
| ~ l2_lattices(X0)
| u2_lattices(X0) = X2
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0) ),
inference(resolution,[status(thm)],[f1527,f786]) ).
fof(f1534,plain,
! [X0,X1,X2,X3] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = X2
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1532]) ).
fof(f1535,plain,
! [X0,X1,X2,X3] :
( u2_lattices(X0) = X2
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(X1,X2,X3)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1534,f156]) ).
fof(f1549,plain,
! [X0,X1,X2] :
( u2_lattices(sK1_skl) = X1
| g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl)) != g3_lattices(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1535,f84]) ).
fof(f1560,plain,
! [X0,X1,X2] :
( u2_lattices(sK1_skl) = X1
| g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2) ),
inference(forward_demodulation,[status(thm)],[f1155,f1549]) ).
fof(f1561,plain,
! [X0,X1,X2] :
( u2_lattices(sK1_skl) = X1
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2) ),
inference(forward_demodulation,[status(thm)],[f1158,f1560]) ).
fof(f1639,plain,
u2_lattices(sK1_skl) = u2_lattices(sK0_skl),
inference(equality_resolution,[status(thm)],[f1561]) ).
fof(f1642,plain,
g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) = g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)),
inference(backward_demodulation,[status(thm)],[f1639,f1158]) ).
fof(f1659,plain,
( ~ l3_lattices(sK1_skl)
| m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)) ),
inference(paramodulation,[status(thm)],[f1639,f786]) ).
fof(f1666,plain,
( v1_funct_2(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))
| ~ l2_lattices(sK1_skl) ),
inference(paramodulation,[status(thm)],[f1639,f165]) ).
fof(f1672,plain,
( ~ l3_lattices(sK1_skl)
| v1_funct_1(u2_lattices(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1639,f585]) ).
fof(f1692,plain,
m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1659,f84]) ).
fof(f1713,plain,
v1_funct_1(u2_lattices(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1672,f84]) ).
fof(f1850,plain,
( ~ l3_lattices(sK1_skl)
| v1_funct_2(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f1666,f156]) ).
fof(f1855,plain,
v1_funct_2(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1850,f84]) ).
fof(f2704,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ v11_lattices(sK1_skl)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f1129,f83]) ).
fof(f2708,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ v11_lattices(sK1_skl)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK0_skl),u1_lattices(sK1_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_demodulation,[status(thm)],[f1639,f2704]) ).
fof(f2709,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ v11_lattices(sK1_skl)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_demodulation,[status(thm)],[f1155,f2708]) ).
fof(f2710,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ v11_lattices(sK1_skl)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_demodulation,[status(thm)],[f1642,f2709]) ).
fof(f2711,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ v11_lattices(sK1_skl)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2710,f81]) ).
fof(f2713,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK0_skl),u1_lattices(sK1_skl)) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))
| ~ v1_funct_1(u2_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl) ),
inference(resolution,[status(thm)],[f912,f1855]) ).
fof(f2717,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))
| ~ v1_funct_1(u2_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f1155,f2713]) ).
fof(f2718,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))
| ~ v1_funct_1(u2_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f1642,f2717]) ).
fof(f2719,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))
| ~ v1_funct_1(u2_lattices(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2718,f84]) ).
fof(f2943,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ v10_lattices(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f2711,f368]) ).
fof(f2944,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2943,f82]) ).
fof(f3280,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2)
| ~ v1_funct_1(u2_lattices(sK0_skl)) ),
inference(resolution,[status(thm)],[f2719,f1692]) ).
fof(f3281,plain,
! [X0,X1,X2] :
( u1_struct_0(sK1_skl) = X0
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3280,f1713]) ).
fof(f3293,plain,
u1_struct_0(sK1_skl) = u1_struct_0(sK0_skl),
inference(equality_resolution,[status(thm)],[f3281]) ).
fof(f3385,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK1_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(backward_demodulation,[status(thm)],[f3293,f2944]) ).
fof(f3620,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK1_skl)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_demodulation,[status(thm)],[f3293,f3385]) ).
fof(f3621,plain,
! [X0,X1,X2] :
( ~ v17_lattices(X0)
| X1 = k7_lattices(sK1_skl,X2)
| ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3620,f84]) ).
fof(f5148,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f3621,f79]) ).
fof(f5159,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl)) != g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f5148]) ).
fof(f5160,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f5159]) ).
fof(f5161,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5160,f77]) ).
fof(f5329,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl) ),
inference(resolution,[status(thm)],[f5161,f78]) ).
fof(f5330,plain,
! [X0,X1] :
( X0 = k7_lattices(sK1_skl,X1)
| ~ r2_lattices(sK0_skl,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5329,f80]) ).
fof(f5331,plain,
! [X0] :
( ~ v10_lattices(sK0_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ m1_subset_1(k7_lattices(sK0_skl,X0),u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f5330,f491]) ).
fof(f5333,plain,
! [X0] :
( ~ v10_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl))
| ~ m1_subset_1(k7_lattices(sK0_skl,X0),u1_struct_0(sK0_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f5331]) ).
fof(f5334,plain,
! [X0] :
( ~ v10_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5333,f149]) ).
fof(f5337,plain,
! [X0] :
( ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f5334,f79]) ).
fof(f5339,plain,
! [X0] :
( ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5337,f80]) ).
fof(f5341,plain,
! [X0] :
( v3_struct_0(sK0_skl)
| k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f5339,f78]) ).
fof(f5342,plain,
! [X0] :
( k7_lattices(sK0_skl,X0) = k7_lattices(sK1_skl,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5341,f77]) ).
fof(f5380,plain,
k7_lattices(sK0_skl,sK2_skl) = k7_lattices(sK1_skl,sK2_skl),
inference(resolution,[status(thm)],[f5342,f86]) ).
fof(f5384,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5380,f357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n015.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 23:32:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 9.78/2.12 % Refutation found
% 9.78/2.12 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.78/2.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.78/2.17 % Elapsed time: 1.707370 seconds
% 9.78/2.17 % CPU time: 12.893086 seconds
% 9.78/2.17 % Total memory used: 249.524 MB
% 9.78/2.17 % Net memory used: 243.620 MB
%------------------------------------------------------------------------------