%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 07:50:16 AM UTC 2026
% Result : Theorem 17.57s 3.41s
% Output : CNFRefutation 17.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 206 ( 45 unt; 0 def)
% Number of atoms : 1137 ( 242 equ)
% Maximal formula atoms : 98 ( 5 avg)
% Number of connectives : 1592 ( 661 ~; 808 |; 99 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 219 ( 28 sgn 71 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_filter_0,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ! [C] :
( ( l3_lattices(C)
& v10_lattices(C)
& ~ v3_struct_0(C) )
=> ( C = k8_filter_0(A,B)
<=> ? [D] :
( ? [E] :
( C = g3_lattices(B,D,E)
& E = k1_realset1(u1_lattices(A),B)
& D = k1_realset1(u2_lattices(A),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& v1_funct_1(E) )
& m2_relset_1(D,k2_zfmisc_1(B,B),B)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& v1_funct_1(D) ) ) ) ) ),
file('theBenchmark.p',d10_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [A,B] :
( ( m1_filter_0(B,A)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( l3_lattices(k8_filter_0(A,B))
& v10_lattices(k8_filter_0(A,B))
& ~ v3_struct_0(k8_filter_0(A,B)) ) ),
file('theBenchmark.p',dt_k8_filter_0) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('theBenchmark.p',dt_l3_lattices) ).
fof(dt_u1_lattices,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('theBenchmark.p',dt_u1_lattices) ).
fof(dt_u2_lattices,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('theBenchmark.p',dt_u2_lattices) ).
fof(fc2_filter_0,axiom,
! [A,B] :
( ( m1_filter_0(B,A)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(k8_filter_0(A,B))
& v9_lattices(k8_filter_0(A,B))
& v8_lattices(k8_filter_0(A,B))
& v7_lattices(k8_filter_0(A,B))
& v6_lattices(k8_filter_0(A,B))
& v5_lattices(k8_filter_0(A,B))
& v4_lattices(k8_filter_0(A,B))
& v3_lattices(k8_filter_0(A,B))
& ~ v3_struct_0(k8_filter_0(A,B)) ) ),
file('theBenchmark.p',fc2_filter_0) ).
fof(free_g3_lattices,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('theBenchmark.p',free_g3_lattices) ).
fof(redefinition_m1_filter_2,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
file('theBenchmark.p',redefinition_m1_filter_2) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(t68_filter_2,conjecture,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_filter_2(C,A)
=> ! [D] :
( m1_filter_2(D,B)
=> ( ( C = D
& g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) )
=> k8_filter_0(A,C) = k8_filter_0(B,D) ) ) ) ) ),
file('theBenchmark.p',t68_filter_2) ).
fof(t68_filter_2_neg,negated_conjecture,
~ ! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_filter_2(C,A)
=> ! [D] :
( m1_filter_2(D,B)
=> ( ( C = D
& g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) )
=> k8_filter_0(A,C) = k8_filter_0(B,D) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t68_filter_2]) ).
cnf(c_81,plain,
( m1_filter_0(B,A)
| ~ m1_filter_2(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[redefinition_m1_filter_2]) ).
fof(nnf_77,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( k8_filter_0(B,D) != k8_filter_0(A,C)
& D = C
& g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
& m1_filter_2(D,B) )
& m1_filter_2(C,A) )
& l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_filter_2_neg]) ).
fof(sk_t68_filter_2_neg,plain,
( k8_filter_0(sK3,sK2) != k8_filter_0(sK1,sK0)
& sK2 = sK0
& g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& m1_filter_2(sK2,sK3)
& m1_filter_2(sK0,sK1)
& l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK3,sK0,sK2]),skolemize(A,sK1),skolemize(B,sK3),skolemize(C,sK0),skolemize(D,sK2)],[nnf_77]) ).
cnf(c_83,negated_conjecture,
m1_filter_2(sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_84,negated_conjecture,
m1_filter_2(sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_125,negated_conjecture,
( m1_filter_0(sK2,sK3)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_84,c_81]) ).
cnf(c_136,negated_conjecture,
( m1_filter_0(sK0,sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_83,c_81]) ).
cnf(c_140,plain,
( v10_lattices(k8_filter_0(A,B))
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[fc2_filter_0]) ).
cnf(c_141,plain,
( ~ v3_struct_0(k8_filter_0(A,B))
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[fc2_filter_0]) ).
cnf(c_145,plain,
( l3_lattices(k8_filter_0(A,B))
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[dt_k8_filter_0]) ).
fof(nnf_8,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ! [D] :
( ! [E] :
( g3_lattices(B,D,E) != C
| k1_realset1(u1_lattices(A),B) != E
| k1_realset1(u2_lattices(A),B) != D
| ~ m2_relset_1(E,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(E,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(D,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(D) )
| k8_filter_0(A,B) = C )
& ( ? [X0] :
( ? [X1] :
( g3_lattices(B,X0,X1) = C
& k1_realset1(u1_lattices(A),B) = X1
& k1_realset1(u2_lattices(A),B) = X0
& m2_relset_1(X1,k2_zfmisc_1(B,B),B)
& v1_funct_2(X1,k2_zfmisc_1(B,B),B)
& v1_funct_1(X1) )
& m2_relset_1(X0,k2_zfmisc_1(B,B),B)
& v1_funct_2(X0,k2_zfmisc_1(B,B),B)
& v1_funct_1(X0) )
| k8_filter_0(A,B) != C ) )
| ~ l3_lattices(C)
| ~ v10_lattices(C)
| v3_struct_0(C) )
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d10_filter_0]) ).
fof(sk_d10_filter_0_sk,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ! [D] :
( ! [E] :
( g3_lattices(B,D,E) != C
| k1_realset1(u1_lattices(A),B) != E
| k1_realset1(u2_lattices(A),B) != D
| ~ m2_relset_1(E,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(E,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(D,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(D) )
| k8_filter_0(A,B) = C )
& ( ( g3_lattices(B,sK4(A,B,C),sK5(A,B,C)) = C
& k1_realset1(u1_lattices(A),B) = sK5(A,B,C)
& k1_realset1(u2_lattices(A),B) = sK4(A,B,C)
& m2_relset_1(sK5(A,B,C),k2_zfmisc_1(B,B),B)
& v1_funct_2(sK5(A,B,C),k2_zfmisc_1(B,B),B)
& v1_funct_1(sK5(A,B,C))
& m2_relset_1(sK4(A,B,C),k2_zfmisc_1(B,B),B)
& v1_funct_2(sK4(A,B,C),k2_zfmisc_1(B,B),B)
& v1_funct_1(sK4(A,B,C)) )
| k8_filter_0(A,B) != C ) )
| ~ l3_lattices(C)
| ~ v10_lattices(C)
| v3_struct_0(C) )
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4(A,B,C)),skolemize(X1,sK5(A,B,C))],[nnf_8]) ).
fof(sk_d10_filter_0,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( g3_lattices(VAR_1,VAR_3,VAR_4) != VAR_2
| k1_realset1(u1_lattices(VAR_0),VAR_1) != VAR_4
| k1_realset1(u2_lattices(VAR_0),VAR_1) != VAR_3
| ~ m2_relset_1(VAR_4,k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| ~ v1_funct_2(VAR_4,k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| ~ v1_funct_1(VAR_4)
| ~ m2_relset_1(VAR_3,k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| ~ v1_funct_2(VAR_3,k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| ~ v1_funct_1(VAR_3)
| k8_filter_0(VAR_0,VAR_1) = VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( g3_lattices(VAR_1,sK4(VAR_0,VAR_1,VAR_2),sK5(VAR_0,VAR_1,VAR_2)) = VAR_2
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( k1_realset1(u1_lattices(VAR_0),VAR_1) = sK5(VAR_0,VAR_1,VAR_2)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( k1_realset1(u2_lattices(VAR_0),VAR_1) = sK4(VAR_0,VAR_1,VAR_2)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( m2_relset_1(sK5(VAR_0,VAR_1,VAR_2),k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( v1_funct_2(sK5(VAR_0,VAR_1,VAR_2),k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( v1_funct_1(sK5(VAR_0,VAR_1,VAR_2))
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( m2_relset_1(sK4(VAR_0,VAR_1,VAR_2),k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( v1_funct_2(sK4(VAR_0,VAR_1,VAR_2),k2_zfmisc_1(VAR_1,VAR_1),VAR_1)
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( v1_funct_1(sK4(VAR_0,VAR_1,VAR_2))
| k8_filter_0(VAR_0,VAR_1) != VAR_2
| ~ l3_lattices(VAR_2)
| ~ v10_lattices(VAR_2)
| v3_struct_0(VAR_2)
| ~ m1_filter_0(VAR_1,VAR_0)
| ~ l3_lattices(VAR_0)
| ~ v10_lattices(VAR_0)
| v3_struct_0(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_d10_filter_0_sk]) ).
cnf(c_149,plain,
( g3_lattices(B,sK4(A,B,C),sK5(A,B,C)) = C
| k8_filter_0(A,B) != C
| ~ l3_lattices(C)
| ~ v10_lattices(C)
| v3_struct_0(C)
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_d10_filter_0]) ).
cnf(c_150,plain,
( k1_realset1(u1_lattices(A),B) = sK5(A,B,C)
| k8_filter_0(A,B) != C
| ~ l3_lattices(C)
| ~ v10_lattices(C)
| v3_struct_0(C)
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_d10_filter_0]) ).
cnf(c_151,plain,
( k1_realset1(u2_lattices(A),B) = sK4(A,B,C)
| k8_filter_0(A,B) != C
| ~ l3_lattices(C)
| ~ v10_lattices(C)
| v3_struct_0(C)
| ~ m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_d10_filter_0]) ).
cnf(c_245,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u2_lattices(sK3),sK2) = sK4(sK3,sK2,A)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_151,c_125]) ).
cnf(c_3447,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| sK4(sK3,sK2,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_245]) ).
cnf(c_3448,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| sK4(sK3,sK2,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3447]) ).
cnf(c_3449,negated_conjecture,
( ~ l3_lattices(sK3)
| sK4(sK3,sK2,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3448]) ).
cnf(c_246,negated_conjecture,
( sK4(sK3,sK2,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3449]) ).
cnf(c_247,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| k1_realset1(u2_lattices(sK1),sK0) = sK4(sK1,sK0,A)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_151,c_136]) ).
cnf(c_3450,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_247]) ).
cnf(c_3451,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3450]) ).
cnf(c_3452,negated_conjecture,
( ~ l3_lattices(sK1)
| sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3451]) ).
cnf(c_248,negated_conjecture,
( sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3452]) ).
cnf(c_253,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| k1_realset1(u1_lattices(sK3),sK2) = sK5(sK3,sK2,A)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_150,c_125]) ).
cnf(c_3453,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| sK5(sK3,sK2,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_253]) ).
cnf(c_3454,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| sK5(sK3,sK2,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3453]) ).
cnf(c_3455,negated_conjecture,
( ~ l3_lattices(sK3)
| sK5(sK3,sK2,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3454]) ).
cnf(c_254,negated_conjecture,
( sK5(sK3,sK2,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3455]) ).
cnf(c_255,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| k1_realset1(u1_lattices(sK1),sK0) = sK5(sK1,sK0,A)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_150,c_136]) ).
cnf(c_3456,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_255]) ).
cnf(c_3457,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3456]) ).
cnf(c_3458,negated_conjecture,
( ~ l3_lattices(sK1)
| sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3457]) ).
cnf(c_256,negated_conjecture,
( sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3458]) ).
cnf(c_261,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| g3_lattices(sK2,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_149,c_125]) ).
cnf(c_3459,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| g3_lattices(sK2,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_261]) ).
cnf(c_3460,negated_conjecture,
( ~ l3_lattices(sK3)
| g3_lattices(sK2,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3459]) ).
cnf(c_262,negated_conjecture,
( g3_lattices(sK2,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK2) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3460]) ).
cnf(c_263,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_149,c_136]) ).
cnf(c_3461,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_263]) ).
cnf(c_3462,negated_conjecture,
( ~ l3_lattices(sK1)
| g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3461]) ).
cnf(c_264,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3462]) ).
cnf(c_277,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| l3_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_145,c_125]) ).
cnf(c_3463,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| l3_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_277]) ).
cnf(c_3464,negated_conjecture,
( ~ l3_lattices(sK3)
| l3_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3463]) ).
cnf(c_278,negated_conjecture,
( l3_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3464]) ).
cnf(c_279,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_145,c_136]) ).
cnf(c_3465,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_279]) ).
cnf(c_3466,negated_conjecture,
( ~ l3_lattices(sK1)
| l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3465]) ).
cnf(c_280,negated_conjecture,
( l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3466]) ).
cnf(c_305,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| ~ v3_struct_0(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_141,c_125]) ).
cnf(c_3467,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v3_struct_0(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_305]) ).
cnf(c_3468,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v3_struct_0(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3467]) ).
cnf(c_306,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3468]) ).
cnf(c_307,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_141,c_136]) ).
cnf(c_3469,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_307]) ).
cnf(c_3470,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3469]) ).
cnf(c_308,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3470]) ).
cnf(c_311,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| v10_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_140,c_125]) ).
cnf(c_3471,negated_conjecture,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v10_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_311]) ).
cnf(c_3472,negated_conjecture,
( ~ l3_lattices(sK3)
| v10_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3471]) ).
cnf(c_312,negated_conjecture,
( v10_lattices(k8_filter_0(sK3,sK2))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(copy,[status(thm)],[c_3472]) ).
cnf(c_313,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_140,c_136]) ).
cnf(c_3473,negated_conjecture,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_313]) ).
cnf(c_3474,negated_conjecture,
( ~ l3_lattices(sK1)
| v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3473]) ).
cnf(c_314,negated_conjecture,
( v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_3474]) ).
cnf(c_357,plain,
( l1_lattices(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[dt_l3_lattices]) ).
cnf(c_358,plain,
( l2_lattices(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[dt_l3_lattices]) ).
cnf(c_360,plain,
( v1_funct_1(u1_lattices(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_361,plain,
( v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_362,plain,
( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_363,plain,
( v1_funct_1(u2_lattices(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_364,plain,
( v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_365,plain,
( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_380,plain,
( E = A
| g3_lattices(D,E,F) != g3_lattices(B,A,C)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(A) ),
inference(clausify,[status(thm)],[free_g3_lattices]) ).
cnf(c_381,plain,
( F = C
| g3_lattices(D,E,F) != g3_lattices(B,A,C)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(A) ),
inference(clausify,[status(thm)],[free_g3_lattices]) ).
cnf(c_403,plain,
( m1_relset_1(A,B,C)
| ~ m2_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[redefinition_m2_relset_1]) ).
cnf(c_412,negated_conjecture,
~ v3_struct_0(sK1),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_413,negated_conjecture,
v10_lattices(sK1),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_414,negated_conjecture,
l3_lattices(sK1),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_415,negated_conjecture,
~ v3_struct_0(sK3),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_416,negated_conjecture,
v10_lattices(sK3),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_417,negated_conjecture,
l3_lattices(sK3),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_418,negated_conjecture,
g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_419,negated_conjecture,
sK2 = sK0,
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_420,negated_conjecture,
k8_filter_0(sK3,sK2) != k8_filter_0(sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_t68_filter_2_neg]) ).
cnf(c_421,negated_conjecture,
k8_filter_0(sK3,sK0) != k8_filter_0(sK1,sK0),
inference(paramod,[status(thm)],[c_419,c_420]) ).
cnf(c_3475,negated_conjecture,
( v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_314]) ).
cnf(c_3476,negated_conjecture,
( v10_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3475]) ).
cnf(c_512,negated_conjecture,
v10_lattices(k8_filter_0(sK1,sK0)),
inference(resolve,[status(thm)],[c_414,c_3476]) ).
cnf(c_3477,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_308]) ).
cnf(c_3478,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3477]) ).
cnf(c_513,negated_conjecture,
~ v3_struct_0(k8_filter_0(sK1,sK0)),
inference(resolve,[status(thm)],[c_414,c_3478]) ).
cnf(c_3479,negated_conjecture,
( l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_280]) ).
cnf(c_3480,negated_conjecture,
( l3_lattices(k8_filter_0(sK1,sK0))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3479]) ).
cnf(c_515,negated_conjecture,
l3_lattices(k8_filter_0(sK1,sK0)),
inference(resolve,[status(thm)],[c_414,c_3480]) ).
cnf(c_3481,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_264]) ).
cnf(c_3482,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3481]) ).
cnf(c_517,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,A),sK5(sK1,sK0,A)) = A
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_414,c_3482]) ).
cnf(c_3483,negated_conjecture,
( sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_256]) ).
cnf(c_3484,negated_conjecture,
( sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3483]) ).
cnf(c_518,negated_conjecture,
( sK5(sK1,sK0,A) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_414,c_3484]) ).
cnf(c_3485,negated_conjecture,
( sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_412,c_248]) ).
cnf(c_3486,negated_conjecture,
( sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_413,c_3485]) ).
cnf(c_519,negated_conjecture,
( sK4(sK1,sK0,A) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_414,c_3486]) ).
cnf(c_3487,negated_conjecture,
( v10_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_312]) ).
cnf(c_3488,negated_conjecture,
( v10_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3487]) ).
cnf(c_3489,negated_conjecture,
( v10_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3488]) ).
cnf(c_529,negated_conjecture,
v10_lattices(k8_filter_0(sK3,sK0)),
inference(resolve,[status(thm)],[c_417,c_3489]) ).
cnf(c_3490,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_306]) ).
cnf(c_3491,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3490]) ).
cnf(c_3492,negated_conjecture,
( ~ v3_struct_0(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3491]) ).
cnf(c_530,negated_conjecture,
~ v3_struct_0(k8_filter_0(sK3,sK0)),
inference(resolve,[status(thm)],[c_417,c_3492]) ).
cnf(c_3493,negated_conjecture,
( l3_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_278]) ).
cnf(c_3494,negated_conjecture,
( l3_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3493]) ).
cnf(c_3495,negated_conjecture,
( l3_lattices(k8_filter_0(sK3,sK0))
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3494]) ).
cnf(c_532,negated_conjecture,
l3_lattices(k8_filter_0(sK3,sK0)),
inference(resolve,[status(thm)],[c_417,c_3495]) ).
cnf(c_3496,negated_conjecture,
( g3_lattices(sK2,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_262]) ).
cnf(c_3497,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK2,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3496]) ).
cnf(c_3498,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,A),sK5(sK3,sK2,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3497]) ).
cnf(c_3499,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,A),sK5(sK3,sK0,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3498]) ).
cnf(c_3500,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,A),sK5(sK3,sK0,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3499]) ).
cnf(c_3501,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,A),sK5(sK3,sK0,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3500]) ).
cnf(c_534,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,A),sK5(sK3,sK0,A)) = A
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_417,c_3501]) ).
cnf(c_3502,negated_conjecture,
( sK5(sK3,sK2,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_254]) ).
cnf(c_3503,negated_conjecture,
( sK5(sK3,sK0,A) = k1_realset1(u1_lattices(sK3),sK2)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3502]) ).
cnf(c_3504,negated_conjecture,
( sK5(sK3,sK0,A) = k1_realset1(u1_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3503]) ).
cnf(c_3505,negated_conjecture,
( sK5(sK3,sK0,A) = k1_realset1(u1_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3504]) ).
cnf(c_3506,negated_conjecture,
( sK5(sK3,sK0,A) = k1_realset1(u1_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3505]) ).
cnf(c_535,negated_conjecture,
( sK5(sK3,sK0,A) = k1_realset1(u1_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_417,c_3506]) ).
cnf(c_3507,negated_conjecture,
( sK4(sK3,sK2,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_246]) ).
cnf(c_3508,negated_conjecture,
( sK4(sK3,sK0,A) = k1_realset1(u2_lattices(sK3),sK2)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3507]) ).
cnf(c_3509,negated_conjecture,
( sK4(sK3,sK0,A) = k1_realset1(u2_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(paramod,[status(thm)],[c_419,c_3508]) ).
cnf(c_3510,negated_conjecture,
( sK4(sK3,sK0,A) = k1_realset1(u2_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3) ),
inference(resolve,[status(thm)],[c_415,c_3509]) ).
cnf(c_3511,negated_conjecture,
( sK4(sK3,sK0,A) = k1_realset1(u2_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(sK3) ),
inference(resolve,[status(thm)],[c_416,c_3510]) ).
cnf(c_536,negated_conjecture,
( sK4(sK3,sK0,A) = k1_realset1(u2_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != A
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_417,c_3511]) ).
cnf(c_721,plain,
l2_lattices(sK1),
inference(resolve,[status(thm)],[c_414,c_358]) ).
cnf(c_722,plain,
l1_lattices(sK1),
inference(resolve,[status(thm)],[c_414,c_357]) ).
cnf(c_3512,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,k8_filter_0(sK1,sK0)),sK5(sK1,sK0,k8_filter_0(sK1,sK0))) = k8_filter_0(sK1,sK0)
| k8_filter_0(sK1,sK0) != k8_filter_0(sK1,sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_517,c_512]) ).
cnf(c_3513,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,k8_filter_0(sK1,sK0)),sK5(sK1,sK0,k8_filter_0(sK1,sK0))) = k8_filter_0(sK1,sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(copy,[status(thm)],[c_3512]) ).
cnf(c_3514,negated_conjecture,
( g3_lattices(sK0,sK4(sK1,sK0,k8_filter_0(sK1,sK0)),sK5(sK1,sK0,k8_filter_0(sK1,sK0))) = k8_filter_0(sK1,sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_513,c_3513]) ).
cnf(c_916,negated_conjecture,
g3_lattices(sK0,sK4(sK1,sK0,k8_filter_0(sK1,sK0)),sK5(sK1,sK0,k8_filter_0(sK1,sK0))) = k8_filter_0(sK1,sK0),
inference(resolve,[status(thm)],[c_515,c_3514]) ).
cnf(c_3515,negated_conjecture,
( sK5(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u1_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != k8_filter_0(sK1,sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_518,c_512]) ).
cnf(c_3516,negated_conjecture,
( sK5(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u1_lattices(sK1),sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(copy,[status(thm)],[c_3515]) ).
cnf(c_3517,negated_conjecture,
( sK5(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u1_lattices(sK1),sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_513,c_3516]) ).
cnf(c_919,negated_conjecture,
sK5(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u1_lattices(sK1),sK0),
inference(resolve,[status(thm)],[c_515,c_3517]) ).
cnf(c_922,negated_conjecture,
g3_lattices(sK0,sK4(sK1,sK0,k8_filter_0(sK1,sK0)),k1_realset1(u1_lattices(sK1),sK0)) = k8_filter_0(sK1,sK0),
inference(paramod,[status(thm)],[c_919,c_916]) ).
cnf(c_3518,negated_conjecture,
( sK4(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u2_lattices(sK1),sK0)
| k8_filter_0(sK1,sK0) != k8_filter_0(sK1,sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_519,c_512]) ).
cnf(c_3519,negated_conjecture,
( sK4(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u2_lattices(sK1),sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0))
| v3_struct_0(k8_filter_0(sK1,sK0)) ),
inference(copy,[status(thm)],[c_3518]) ).
cnf(c_3520,negated_conjecture,
( sK4(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u2_lattices(sK1),sK0)
| ~ l3_lattices(k8_filter_0(sK1,sK0)) ),
inference(resolve,[status(thm)],[c_513,c_3519]) ).
cnf(c_923,negated_conjecture,
sK4(sK1,sK0,k8_filter_0(sK1,sK0)) = k1_realset1(u2_lattices(sK1),sK0),
inference(resolve,[status(thm)],[c_515,c_3520]) ).
cnf(c_926,negated_conjecture,
g3_lattices(sK0,k1_realset1(u2_lattices(sK1),sK0),k1_realset1(u1_lattices(sK1),sK0)) = k8_filter_0(sK1,sK0),
inference(paramod,[status(thm)],[c_923,c_922]) ).
cnf(c_3521,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,k8_filter_0(sK3,sK0)),sK5(sK3,sK0,k8_filter_0(sK3,sK0))) = k8_filter_0(sK3,sK0)
| k8_filter_0(sK3,sK0) != k8_filter_0(sK3,sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_534,c_529]) ).
cnf(c_3522,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,k8_filter_0(sK3,sK0)),sK5(sK3,sK0,k8_filter_0(sK3,sK0))) = k8_filter_0(sK3,sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(copy,[status(thm)],[c_3521]) ).
cnf(c_3523,negated_conjecture,
( g3_lattices(sK0,sK4(sK3,sK0,k8_filter_0(sK3,sK0)),sK5(sK3,sK0,k8_filter_0(sK3,sK0))) = k8_filter_0(sK3,sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_530,c_3522]) ).
cnf(c_1018,negated_conjecture,
g3_lattices(sK0,sK4(sK3,sK0,k8_filter_0(sK3,sK0)),sK5(sK3,sK0,k8_filter_0(sK3,sK0))) = k8_filter_0(sK3,sK0),
inference(resolve,[status(thm)],[c_532,c_3523]) ).
cnf(c_3524,negated_conjecture,
( sK5(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u1_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != k8_filter_0(sK3,sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_535,c_529]) ).
cnf(c_3525,negated_conjecture,
( sK5(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u1_lattices(sK3),sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(copy,[status(thm)],[c_3524]) ).
cnf(c_3526,negated_conjecture,
( sK5(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u1_lattices(sK3),sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_530,c_3525]) ).
cnf(c_1021,negated_conjecture,
sK5(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u1_lattices(sK3),sK0),
inference(resolve,[status(thm)],[c_532,c_3526]) ).
cnf(c_1024,negated_conjecture,
g3_lattices(sK0,sK4(sK3,sK0,k8_filter_0(sK3,sK0)),k1_realset1(u1_lattices(sK3),sK0)) = k8_filter_0(sK3,sK0),
inference(paramod,[status(thm)],[c_1021,c_1018]) ).
cnf(c_3527,negated_conjecture,
( sK4(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u2_lattices(sK3),sK0)
| k8_filter_0(sK3,sK0) != k8_filter_0(sK3,sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_536,c_529]) ).
cnf(c_3528,negated_conjecture,
( sK4(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u2_lattices(sK3),sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0))
| v3_struct_0(k8_filter_0(sK3,sK0)) ),
inference(copy,[status(thm)],[c_3527]) ).
cnf(c_3529,negated_conjecture,
( sK4(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u2_lattices(sK3),sK0)
| ~ l3_lattices(k8_filter_0(sK3,sK0)) ),
inference(resolve,[status(thm)],[c_530,c_3528]) ).
cnf(c_1025,negated_conjecture,
sK4(sK3,sK0,k8_filter_0(sK3,sK0)) = k1_realset1(u2_lattices(sK3),sK0),
inference(resolve,[status(thm)],[c_532,c_3529]) ).
cnf(c_1028,negated_conjecture,
g3_lattices(sK0,k1_realset1(u2_lattices(sK3),sK0),k1_realset1(u1_lattices(sK3),sK0)) = k8_filter_0(sK3,sK0),
inference(paramod,[status(thm)],[c_1025,c_1024]) ).
cnf(c_1099,plain,
m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_721,c_365]) ).
cnf(c_1100,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_721,c_364]) ).
cnf(c_1101,plain,
v1_funct_1(u2_lattices(sK1)),
inference(resolve,[status(thm)],[c_721,c_363]) ).
cnf(c_1103,plain,
m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_722,c_362]) ).
cnf(c_1104,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_722,c_361]) ).
cnf(c_1105,plain,
v1_funct_1(u1_lattices(sK1)),
inference(resolve,[status(thm)],[c_722,c_360]) ).
cnf(c_2741,plain,
m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_1099,c_403]) ).
cnf(c_2743,plain,
m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_1103,c_403]) ).
cnf(c_3530,plain,
( E = B
| g3_lattices(C,D,E) != g3_lattices(A,u2_lattices(sK1),B)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(A,A),A) ),
inference(resolve,[status(thm)],[c_381,c_1101]) ).
cnf(c_3531,plain,
( D = A
| g3_lattices(B,C,D) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),A)
| ~ m1_relset_1(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(A)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3530,c_1100]) ).
cnf(c_3532,plain,
( D = A
| g3_lattices(B,C,D) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),A)
| ~ m1_relset_1(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(A) ),
inference(resolve,[status(thm)],[c_3531,c_2741]) ).
cnf(c_3533,plain,
( C = u1_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3532,c_1105]) ).
cnf(c_3534,plain,
( C = u1_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3533,c_1104]) ).
cnf(c_3535,plain,
( C = u1_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) ),
inference(resolve,[status(thm)],[c_3534,c_2743]) ).
cnf(c_3403,negated_conjecture,
u1_lattices(sK3) = u1_lattices(sK1),
inference(resolve,[status(thm)],[c_3535,c_418]) ).
cnf(c_3536,plain,
( D = u2_lattices(sK1)
| g3_lattices(C,D,E) != g3_lattices(A,u2_lattices(sK1),B)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(A,A),A) ),
inference(resolve,[status(thm)],[c_380,c_1101]) ).
cnf(c_3537,plain,
( C = u2_lattices(sK1)
| g3_lattices(B,C,D) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),A)
| ~ m1_relset_1(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(A)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3536,c_1100]) ).
cnf(c_3538,plain,
( C = u2_lattices(sK1)
| g3_lattices(B,C,D) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),A)
| ~ m1_relset_1(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(A,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(A) ),
inference(resolve,[status(thm)],[c_3537,c_2741]) ).
cnf(c_3539,plain,
( B = u2_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3538,c_1105]) ).
cnf(c_3540,plain,
( B = u2_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_3539,c_1104]) ).
cnf(c_3541,plain,
( B = u2_lattices(sK1)
| g3_lattices(A,B,C) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) ),
inference(resolve,[status(thm)],[c_3540,c_2743]) ).
cnf(c_3404,negated_conjecture,
u2_lattices(sK3) = u2_lattices(sK1),
inference(resolve,[status(thm)],[c_3541,c_418]) ).
cnf(c_3542,negated_conjecture,
g3_lattices(sK0,k1_realset1(u2_lattices(sK1),sK0),k1_realset1(u1_lattices(sK3),sK0)) = k8_filter_0(sK3,sK0),
inference(paramod,[status(thm)],[c_3404,c_1028]) ).
cnf(c_3543,negated_conjecture,
g3_lattices(sK0,k1_realset1(u2_lattices(sK1),sK0),k1_realset1(u1_lattices(sK1),sK0)) = k8_filter_0(sK3,sK0),
inference(paramod,[status(thm)],[c_3403,c_3542]) ).
cnf(c_3544,negated_conjecture,
k8_filter_0(sK1,sK0) = k8_filter_0(sK3,sK0),
inference(paramod,[status(thm)],[c_926,c_3543]) ).
cnf(c_3545,negated_conjecture,
k8_filter_0(sK3,sK0) = k8_filter_0(sK1,sK0),
inference(copy,[status(thm)],[c_3544]) ).
cnf(c_3446,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_421,c_3545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT331+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 20:57:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2516393 was started by sandbox2 on n009,
% 0.09/0.37 % Fri Sep 25 20:57:43 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.39
% 0.09/0.39 % From the command line: assign(max_seconds, 300).
% 17.57/3.41
% 17.57/3.41 % given #500 (A,wt=38): 622 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k8_filter_0(A,f4(A)) != c13 | f2(A,f4(A),c13) = k1_realset1(u1_lattices(A),f4(A)). [resolve(402,a,258,e),unit_del(d,401),unit_del(e,400)].
% 17.57/3.41
% 17.57/3.41 % SZS status Theorem for theBenchmark
% 17.57/3.41
% 17.57/3.41 % Proof 1 at 2.86 (+ 0.11) seconds.
% 17.57/3.41 % Length of proof is 101.
% 17.57/3.41 % Level of proof is 9.
% 17.57/3.41 % Maximum clause weight is 50.000.
% 17.57/3.41 % Given clauses 850.
% 17.57/3.41
% 17.57/3.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------