TSTP Solution File: LAT331+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT331+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:35 EDT 2023
% Result : Theorem 3.28s 0.89s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 181 ( 36 unt; 0 def)
% Number of atoms : 709 ( 98 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 870 ( 342 ~; 379 |; 100 &)
% ( 29 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 25 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 135 (; 125 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( m1_filter_2(C,A)
=> ! [D] :
( m1_filter_2(D,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 = D )
=> k8_filter_0(A,C) = k8_filter_0(B,D) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( m1_filter_2(C,A)
=> ! [D] :
( m1_filter_2(D,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 = D )
=> k8_filter_0(A,C) = k8_filter_0(B,D) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f10,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ! [C] :
( ( ~ v3_struct_0(C)
& v10_lattices(C)
& l3_lattices(C) )
=> ( C = k8_filter_0(A,B)
<=> ? [D] :
( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& m2_relset_1(D,k2_zfmisc_1(B,B),B)
& ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B)
& D = k1_realset1(u2_lattices(A),B)
& E = k1_realset1(u1_lattices(A),B)
& C = g3_lattices(B,D,E) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_filter_0(B,A) )
=> ( ~ v3_struct_0(k8_filter_0(A,B))
& v10_lattices(k8_filter_0(A,B))
& l3_lattices(k8_filter_0(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( l1_lattices(A)
=> ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A] :
( l2_lattices(A)
=> ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D,E,F] :
( g3_lattices(A,B,C) = g3_lattices(D,E,F)
=> ( A = D
& B = E
& C = F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ? [B] :
( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B)
& ? [C] :
( m1_filter_2(C,A)
& ? [D] :
( m1_filter_2(D,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 = D
& k8_filter_0(A,C) != k8_filter_0(B,D) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f81,plain,
( ~ v3_struct_0(sk0_0)
& v10_lattices(sk0_0)
& l3_lattices(sk0_0)
& ~ v3_struct_0(sk0_1)
& v10_lattices(sk0_1)
& l3_lattices(sk0_1)
& m1_filter_2(sk0_2,sk0_0)
& m1_filter_2(sk0_3,sk0_1)
& g3_lattices(u1_struct_0(sk0_0),u2_lattices(sk0_0),u1_lattices(sk0_0)) = g3_lattices(u1_struct_0(sk0_1),u2_lattices(sk0_1),u1_lattices(sk0_1))
& sk0_2 = sk0_3
& k8_filter_0(sk0_0,sk0_2) != k8_filter_0(sk0_1,sk0_3) ),
inference(skolemization,[status(esa)],[f80]) ).
fof(f82,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
v10_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f84,plain,
l3_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f85,plain,
~ v3_struct_0(sk0_1),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f86,plain,
v10_lattices(sk0_1),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f87,plain,
l3_lattices(sk0_1),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f88,plain,
m1_filter_2(sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f89,plain,
m1_filter_2(sk0_3,sk0_1),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f90,plain,
g3_lattices(u1_struct_0(sk0_0),u2_lattices(sk0_0),u1_lattices(sk0_0)) = g3_lattices(u1_struct_0(sk0_1),u2_lattices(sk0_1),u1_lattices(sk0_1)),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f91,plain,
sk0_2 = sk0_3,
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f92,plain,
k8_filter_0(sk0_0,sk0_2) != k8_filter_0(sk0_1,sk0_3),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f117,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ~ m1_filter_0(B,A)
| ! [C] :
( v3_struct_0(C)
| ~ v10_lattices(C)
| ~ l3_lattices(C)
| ( C = k8_filter_0(A,B)
<=> ? [D] :
( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& m2_relset_1(D,k2_zfmisc_1(B,B),B)
& ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B)
& D = k1_realset1(u2_lattices(A),B)
& E = k1_realset1(u1_lattices(A),B)
& C = g3_lattices(B,D,E) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f118,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ~ m1_filter_0(B,A)
| ! [C] :
( v3_struct_0(C)
| ~ v10_lattices(C)
| ~ l3_lattices(C)
| ( ( C != k8_filter_0(A,B)
| ? [D] :
( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& m2_relset_1(D,k2_zfmisc_1(B,B),B)
& ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B)
& D = k1_realset1(u2_lattices(A),B)
& E = k1_realset1(u1_lattices(A),B)
& C = g3_lattices(B,D,E) ) ) )
& ( C = k8_filter_0(A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,k2_zfmisc_1(B,B),B)
| ~ m2_relset_1(D,k2_zfmisc_1(B,B),B)
| ! [E] :
( ~ v1_funct_1(E)
| ~ v1_funct_2(E,k2_zfmisc_1(B,B),B)
| ~ m2_relset_1(E,k2_zfmisc_1(B,B),B)
| D != k1_realset1(u2_lattices(A),B)
| E != k1_realset1(u1_lattices(A),B)
| C != g3_lattices(B,D,E) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f117]) ).
fof(f119,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ~ m1_filter_0(B,A)
| ! [C] :
( v3_struct_0(C)
| ~ v10_lattices(C)
| ~ l3_lattices(C)
| ( ( C != k8_filter_0(A,B)
| ( v1_funct_1(sk0_4(C,B,A))
& v1_funct_2(sk0_4(C,B,A),k2_zfmisc_1(B,B),B)
& m2_relset_1(sk0_4(C,B,A),k2_zfmisc_1(B,B),B)
& v1_funct_1(sk0_5(C,B,A))
& v1_funct_2(sk0_5(C,B,A),k2_zfmisc_1(B,B),B)
& m2_relset_1(sk0_5(C,B,A),k2_zfmisc_1(B,B),B)
& sk0_4(C,B,A) = k1_realset1(u2_lattices(A),B)
& sk0_5(C,B,A) = k1_realset1(u1_lattices(A),B)
& C = g3_lattices(B,sk0_4(C,B,A),sk0_5(C,B,A)) ) )
& ( C = k8_filter_0(A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,k2_zfmisc_1(B,B),B)
| ~ m2_relset_1(D,k2_zfmisc_1(B,B),B)
| ! [E] :
( ~ v1_funct_1(E)
| ~ v1_funct_2(E,k2_zfmisc_1(B,B),B)
| ~ m2_relset_1(E,k2_zfmisc_1(B,B),B)
| D != k1_realset1(u2_lattices(A),B)
| E != k1_realset1(u1_lattices(A),B)
| C != g3_lattices(B,D,E) ) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f118]) ).
fof(f126,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| X2 != k8_filter_0(X0,X1)
| sk0_4(X2,X1,X0) = k1_realset1(u2_lattices(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f127,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| X2 != k8_filter_0(X0,X1)
| sk0_5(X2,X1,X0) = k1_realset1(u1_lattices(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f128,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| X2 != k8_filter_0(X0,X1)
| X2 = g3_lattices(X1,sk0_4(X2,X1,X0),sk0_5(X2,X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f138,plain,
! [A,B] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ( ~ v3_struct_0(k8_filter_0(A,B))
& v10_lattices(k8_filter_0(A,B))
& l3_lattices(k8_filter_0(A,B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f139,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v10_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f141,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| l3_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f146,plain,
! [A] :
( ~ l3_lattices(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f147,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f159,plain,
! [A] :
( ~ l1_lattices(A)
| ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f160,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f161,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f162,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f163,plain,
! [A] :
( ~ l2_lattices(A)
| ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f164,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f166,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f244,plain,
! [A,B,C] :
( ~ v1_funct_1(B)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ! [D,E,F] :
( g3_lattices(A,B,C) != g3_lattices(D,E,F)
| ( A = D
& B = E
& C = F ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| g3_lattices(X1,X0,X2) != g3_lattices(X3,X4,X5)
| X0 = X4 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| g3_lattices(X1,X0,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f299,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f300,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ( ~ m1_filter_2(B,A)
| m1_filter_0(B,A) )
& ( m1_filter_2(B,A)
| ~ m1_filter_0(B,A) ) ) ),
inference(NNF_transformation,[status(esa)],[f299]) ).
fof(f301,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ! [B] :
( ~ m1_filter_2(B,A)
| m1_filter_0(B,A) )
& ! [B] :
( m1_filter_2(B,A)
| ~ m1_filter_0(B,A) ) ) ),
inference(miniscoping,[status(esa)],[f300]) ).
fof(f302,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f304,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(esa)],[f70]) ).
fof(f305,plain,
( ! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(miniscoping,[status(esa)],[f304]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f332,plain,
k8_filter_0(sk0_0,sk0_2) != k8_filter_0(sk0_1,sk0_2),
inference(forward_demodulation,[status(thm)],[f91,f92]) ).
fof(f340,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_4(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u2_lattices(X0),X1) ),
inference(destructive_equality_resolution,[status(esa)],[f126]) ).
fof(f341,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_5(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u1_lattices(X0),X1) ),
inference(destructive_equality_resolution,[status(esa)],[f127]) ).
fof(f342,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(k8_filter_0(X0,X1))
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sk0_4(k8_filter_0(X0,X1),X1,X0),sk0_5(k8_filter_0(X0,X1),X1,X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f128]) ).
fof(f344,plain,
m1_filter_2(sk0_2,sk0_1),
inference(backward_demodulation,[status(thm)],[f91,f89]) ).
fof(f345,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sk0_4(k8_filter_0(X0,X1),X1,X0),sk0_5(k8_filter_0(X0,X1),X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f342,f139]) ).
fof(f346,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| k8_filter_0(X0,X1) = g3_lattices(X1,sk0_4(k8_filter_0(X0,X1),X1,X0),sk0_5(k8_filter_0(X0,X1),X1,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f140]) ).
fof(f347,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_5(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u1_lattices(X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f341,f139]) ).
fof(f348,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_5(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u1_lattices(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f140]) ).
fof(f349,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(k8_filter_0(X0,X1))
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_4(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u2_lattices(X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f340,f139]) ).
fof(f350,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1))
| sk0_4(k8_filter_0(X0,X1),X1,X0) = k1_realset1(u2_lattices(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f140]) ).
fof(f363,plain,
( spl0_0
<=> v3_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( v3_struct_0(sk0_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( spl0_1
<=> v10_lattices(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( ~ v10_lattices(sk0_1)
| spl0_1 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_2
<=> l3_lattices(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( ~ l3_lattices(sk0_1)
| spl0_2 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f377,plain,
( spl0_4
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( v3_struct_0(sk0_0)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_5
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( ~ v10_lattices(sk0_0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_6
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( ~ l3_lattices(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f388,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f84]) ).
fof(f389,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f83]) ).
fof(f391,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( spl0_7
<=> m1_filter_0(sk0_2,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( m1_filter_0(sk0_2,sk0_1)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( v3_struct_0(sk0_1)
| ~ v10_lattices(sk0_1)
| ~ l3_lattices(sk0_1)
| m1_filter_0(sk0_2,sk0_1) ),
inference(resolution,[status(thm)],[f302,f344]) ).
fof(f396,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(split_clause,[status(thm)],[f395,f363,f366,f369,f392]) ).
fof(f397,plain,
( spl0_8
<=> m1_filter_0(sk0_2,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( m1_filter_0(sk0_2,sk0_0)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| m1_filter_0(sk0_2,sk0_0) ),
inference(resolution,[status(thm)],[f302,f88]) ).
fof(f401,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(split_clause,[status(thm)],[f400,f377,f380,f383,f397]) ).
fof(f402,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f87]) ).
fof(f403,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f82]) ).
fof(f405,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f86]) ).
fof(f407,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f85]) ).
fof(f409,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f408]) ).
fof(f432,plain,
( spl0_13
<=> l3_lattices(k8_filter_0(sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( l3_lattices(k8_filter_0(sk0_1,sk0_2))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( v3_struct_0(sk0_1)
| ~ v10_lattices(sk0_1)
| ~ l3_lattices(sk0_1)
| l3_lattices(k8_filter_0(sk0_1,sk0_2))
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f141,f393]) ).
fof(f436,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2
| spl0_13
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f435,f363,f366,f369,f432,f392]) ).
fof(f437,plain,
( spl0_14
<=> l3_lattices(k8_filter_0(sk0_0,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( l3_lattices(k8_filter_0(sk0_0,sk0_2))
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| l3_lattices(k8_filter_0(sk0_0,sk0_2))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f141,f398]) ).
fof(f441,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f440,f377,f380,f383,f437,f397]) ).
fof(f442,plain,
( spl0_15
<=> sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u1_lattices(sk0_1),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u1_lattices(sk0_1),sk0_2)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( v3_struct_0(sk0_1)
| ~ v10_lattices(sk0_1)
| ~ l3_lattices(sk0_1)
| ~ m1_filter_0(sk0_2,sk0_1)
| sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u1_lattices(sk0_1),sk0_2)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f348,f433]) ).
fof(f446,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_15
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f445,f363,f366,f369,f392,f442,f432]) ).
fof(f447,plain,
( spl0_16
<=> sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u1_lattices(sk0_0),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u1_lattices(sk0_0),sk0_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ m1_filter_0(sk0_2,sk0_0)
| sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u1_lattices(sk0_0),sk0_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f348,f438]) ).
fof(f451,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_16
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f450,f377,f380,f383,f397,f447,f437]) ).
fof(f452,plain,
( spl0_17
<=> sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u2_lattices(sk0_1),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u2_lattices(sk0_1),sk0_2)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( v3_struct_0(sk0_1)
| ~ v10_lattices(sk0_1)
| ~ l3_lattices(sk0_1)
| ~ m1_filter_0(sk0_2,sk0_1)
| sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1) = k1_realset1(u2_lattices(sk0_1),sk0_2)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f350,f433]) ).
fof(f456,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_17
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f455,f363,f366,f369,f392,f452,f432]) ).
fof(f457,plain,
( spl0_18
<=> sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u2_lattices(sk0_0),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u2_lattices(sk0_0),sk0_2)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ m1_filter_0(sk0_2,sk0_0)
| sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0) = k1_realset1(u2_lattices(sk0_0),sk0_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f350,f438]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_18
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f460,f377,f380,f383,f397,f457,f437]) ).
fof(f576,plain,
( spl0_43
<=> k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1),sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1),sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1))
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( v3_struct_0(sk0_1)
| ~ v10_lattices(sk0_1)
| ~ l3_lattices(sk0_1)
| ~ m1_filter_0(sk0_2,sk0_1)
| k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1),sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1))
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f346,f433]) ).
fof(f580,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_43
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f579,f363,f366,f369,f392,f576,f432]) ).
fof(f581,plain,
( spl0_44
<=> k8_filter_0(sk0_0,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0),sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( k8_filter_0(sk0_0,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0),sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0))
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ m1_filter_0(sk0_2,sk0_0)
| k8_filter_0(sk0_0,sk0_2) = g3_lattices(sk0_2,sk0_4(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0),sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0))
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f346,f438]) ).
fof(f585,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_44
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f584,f377,f380,f383,f397,f581,f437]) ).
fof(f586,plain,
( k8_filter_0(sk0_0,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_0),sk0_2),sk0_5(k8_filter_0(sk0_0,sk0_2),sk0_2,sk0_0))
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f458,f582]) ).
fof(f587,plain,
( k8_filter_0(sk0_0,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_0),sk0_2),k1_realset1(u1_lattices(sk0_0),sk0_2))
| ~ spl0_16
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f448,f586]) ).
fof(f588,plain,
( k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_1),sk0_2),sk0_5(k8_filter_0(sk0_1,sk0_2),sk0_2,sk0_1))
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f453,f577]) ).
fof(f589,plain,
( k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_1),sk0_2),k1_realset1(u1_lattices(sk0_1),sk0_2))
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f443,f588]) ).
fof(f590,plain,
( spl0_45
<=> v1_funct_1(u2_lattices(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( ~ v1_funct_1(u2_lattices(sk0_0))
| spl0_45 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( spl0_46
<=> v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( ~ v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| spl0_46 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( spl0_47
<=> m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( ~ m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| spl0_47 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( spl0_48
<=> v1_funct_1(u1_lattices(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( ~ v1_funct_1(u1_lattices(sk0_0))
| spl0_48 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( spl0_49
<=> v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( ~ v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| spl0_49 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( spl0_50
<=> m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( ~ m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| spl0_50 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f696,plain,
( spl0_70
<=> u2_lattices(sk0_0) = u2_lattices(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f697,plain,
( u2_lattices(sk0_0) = u2_lattices(sk0_1)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ v1_funct_1(u2_lattices(sk0_0))
| ~ v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ v1_funct_1(u1_lattices(sk0_0))
| ~ v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| u2_lattices(sk0_0) = u2_lattices(sk0_1) ),
inference(resolution,[status(thm)],[f246,f90]) ).
fof(f700,plain,
( ~ spl0_45
| ~ spl0_46
| ~ spl0_47
| ~ spl0_48
| ~ spl0_49
| ~ spl0_50
| spl0_70 ),
inference(split_clause,[status(thm)],[f699,f590,f593,f596,f599,f602,f605,f696]) ).
fof(f721,plain,
( spl0_74
<=> u1_lattices(sk0_0) = u1_lattices(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f722,plain,
( u1_lattices(sk0_0) = u1_lattices(sk0_1)
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ v1_funct_1(u2_lattices(sk0_0))
| ~ v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ v1_funct_1(u1_lattices(sk0_0))
| ~ v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| ~ m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))
| u1_lattices(sk0_0) = u1_lattices(sk0_1) ),
inference(resolution,[status(thm)],[f247,f90]) ).
fof(f725,plain,
( ~ spl0_45
| ~ spl0_46
| ~ spl0_47
| ~ spl0_48
| ~ spl0_49
| ~ spl0_50
| spl0_74 ),
inference(split_clause,[status(thm)],[f724,f590,f593,f596,f599,f602,f605,f721]) ).
fof(f982,plain,
l1_lattices(sk0_0),
inference(resolution,[status(thm)],[f147,f84]) ).
fof(f990,plain,
l2_lattices(sk0_0),
inference(resolution,[status(thm)],[f148,f84]) ).
fof(f1767,plain,
m2_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f982,f162]) ).
fof(f1768,plain,
v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f982,f161]) ).
fof(f1769,plain,
( $false
| spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f604]) ).
fof(f1770,plain,
spl0_49,
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
v1_funct_1(u1_lattices(sk0_0)),
inference(resolution,[status(thm)],[f982,f160]) ).
fof(f1772,plain,
( $false
| spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1771,f601]) ).
fof(f1773,plain,
spl0_48,
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1775,plain,
m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f1767,f306]) ).
fof(f1776,plain,
( $false
| spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1775,f607]) ).
fof(f1777,plain,
spl0_50,
inference(contradiction_clause,[status(thm)],[f1776]) ).
fof(f1914,plain,
m2_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f990,f166]) ).
fof(f1918,plain,
v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f990,f165]) ).
fof(f1924,plain,
v1_funct_1(u2_lattices(sk0_0)),
inference(resolution,[status(thm)],[f990,f164]) ).
fof(f1925,plain,
( $false
| spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f592]) ).
fof(f1926,plain,
spl0_45,
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f3379,plain,
m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0)),
inference(resolution,[status(thm)],[f1914,f306]) ).
fof(f3380,plain,
( $false
| spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f3379,f598]) ).
fof(f3381,plain,
spl0_47,
inference(contradiction_clause,[status(thm)],[f3380]) ).
fof(f3382,plain,
( $false
| spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f1918]) ).
fof(f3383,plain,
spl0_46,
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3385,plain,
( k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_0),sk0_2),k1_realset1(u1_lattices(sk0_1),sk0_2))
| ~ spl0_70
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f697,f589]) ).
fof(f3386,plain,
( k8_filter_0(sk0_1,sk0_2) = g3_lattices(sk0_2,k1_realset1(u2_lattices(sk0_0),sk0_2),k1_realset1(u1_lattices(sk0_0),sk0_2))
| ~ spl0_74
| ~ spl0_70
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f722,f3385]) ).
fof(f3387,plain,
( k8_filter_0(sk0_1,sk0_2) = k8_filter_0(sk0_0,sk0_2)
| ~ spl0_16
| ~ spl0_18
| ~ spl0_44
| ~ spl0_74
| ~ spl0_70
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f587,f3386]) ).
fof(f3388,plain,
( $false
| ~ spl0_16
| ~ spl0_18
| ~ spl0_44
| ~ spl0_74
| ~ spl0_70
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f3387,f332]) ).
fof(f3389,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_44
| ~ spl0_74
| ~ spl0_70
| ~ spl0_15
| ~ spl0_17
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f3388]) ).
fof(f3390,plain,
$false,
inference(sat_refutation,[status(thm)],[f389,f391,f396,f401,f403,f405,f407,f409,f436,f441,f446,f451,f456,f461,f580,f585,f700,f725,f1770,f1773,f1777,f1926,f3381,f3383,f3389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LAT331+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n019.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 09:29:40 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 3.28/0.89 % Refutation found
% 3.28/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.28/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.28/0.91 % Elapsed time: 0.574211 seconds
% 3.28/0.91 % CPU time: 3.592666 seconds
% 3.28/0.91 % Memory used: 109.105 MB
%------------------------------------------------------------------------------