%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT338+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 : n007.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 01:02:49 PM UTC 2026
% Result : Theorem 6.73s 1.61s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 140 ( 28 unt; 0 def)
% Number of atoms : 474 ( 34 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 548 ( 214 ~; 239 |; 72 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 166 ( 164 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& l3_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(A),B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))
=> ( l3_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& l3_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& ~ v7_conlat_1(k16_lattice3(k11_conlat_1(A),B),A) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> k11_conlat_1(A) = g3_lattices(k8_conlat_1(A),k10_conlat_1(A),k9_conlat_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( m2_relset_1(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_2(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_1(k10_conlat_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( l3_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k15_lattice3(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k16_lattice3(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> m1_conlat_1(k8_conlat_1(A),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( m2_relset_1(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_2(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_1(k9_conlat_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ! [B] :
( m1_conlat_1(B,A)
=> ~ v1_xboole_0(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,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)
& ~ v1_xboole_0(A) )
=> ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,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(f96,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ! [B] :
( r2_hidden(B,k8_conlat_1(A))
<=> ( l3_conlat_1(B,A)
& v9_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v6_conlat_1(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,plain,
? [A] :
( ? [B] :
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
| v7_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
| v7_conlat_1(k16_lattice3(k11_conlat_1(A),B),A) )
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) )
& l2_conlat_1(A)
& ~ v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f109,plain,
( ( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) )
& m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(k11_conlat_1(sK0_skl))))
& l2_conlat_1(sK0_skl)
& ~ v3_conlat_1(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f108]) ).
fof(f110,plain,
~ v3_conlat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
l2_conlat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f113,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f114,plain,
! [A] :
( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ v3_lattices(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f158,plain,
! [A] :
( k11_conlat_1(A) = g3_lattices(k8_conlat_1(A),k10_conlat_1(A),k9_conlat_1(A))
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f159,plain,
! [X0] :
( k11_conlat_1(X0) = g3_lattices(k8_conlat_1(X0),k10_conlat_1(X0),k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f166,plain,
! [A] :
( ( m2_relset_1(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_2(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_1(k10_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f167,plain,
! [X0] :
( v1_funct_1(k10_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
! [X0] :
( v1_funct_2(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f169,plain,
! [X0] :
( m2_relset_1(k10_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f170,plain,
! [A] :
( ( l3_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f172,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f173,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f174,plain,
! [A,B] :
( m1_subset_1(k15_lattice3(A,B),u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f175,plain,
! [A] :
( ! [B] : m1_subset_1(k15_lattice3(A,B),u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(miniscoping,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( m1_subset_1(k15_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
! [A,B] :
( m1_subset_1(k16_lattice3(A,B),u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f178,plain,
! [A] :
( ! [B] : m1_subset_1(k16_lattice3(A,B),u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(miniscoping,[status(thm)],[f177]) ).
fof(f179,plain,
! [X0,X1] :
( m1_subset_1(k16_lattice3(X0,X1),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f182,plain,
! [A] :
( m1_conlat_1(k8_conlat_1(A),A)
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f183,plain,
! [X0] :
( m1_conlat_1(k8_conlat_1(X0),X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
! [A] :
( ( m2_relset_1(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_2(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& v1_funct_1(k9_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f185,plain,
! [X0] :
( v1_funct_1(k9_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0] :
( v1_funct_2(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f187,plain,
! [X0] :
( m2_relset_1(k9_conlat_1(X0),k2_zfmisc_1(k8_conlat_1(X0),k8_conlat_1(X0)),k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f197,plain,
! [A] :
( ! [B] :
( ~ v1_xboole_0(B)
| ~ m1_conlat_1(B,A) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f198,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_conlat_1(X1,X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f273,plain,
! [A,B,C] :
( ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(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)
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f323,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)],[f75]) ).
fof(f324,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)],[f323]) ).
fof(f421,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)],[f96]) ).
fof(f422,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)],[f421]) ).
fof(f423,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f429,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f99]) ).
fof(f430,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f436,plain,
! [A] :
( ! [B] :
( r2_hidden(B,k8_conlat_1(A))
<=> ( l3_conlat_1(B,A)
& v9_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v6_conlat_1(B,A) ) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f101]) ).
fof(f437,plain,
! [A] :
( ! [B] :
( ( ~ l3_conlat_1(B,A)
| ~ v9_conlat_1(B,A)
| v7_conlat_1(B,A)
| ~ v6_conlat_1(B,A)
| r2_hidden(B,k8_conlat_1(A)) )
& ( ( l3_conlat_1(B,A)
& v9_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v6_conlat_1(B,A) )
| ~ r2_hidden(B,k8_conlat_1(A)) ) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(NNF_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
! [A] :
( ( ! [B] :
( ~ l3_conlat_1(B,A)
| ~ v9_conlat_1(B,A)
| v7_conlat_1(B,A)
| ~ v6_conlat_1(B,A)
| r2_hidden(B,k8_conlat_1(A)) )
& ! [B] :
( ( l3_conlat_1(B,A)
& v9_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v6_conlat_1(B,A) )
| ~ r2_hidden(B,k8_conlat_1(A)) ) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(miniscoping,[status(thm)],[f437]) ).
fof(f440,plain,
! [X0,X1] :
( ~ v7_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f441,plain,
! [X0,X1] :
( v9_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f442,plain,
! [X0,X1] :
( l3_conlat_1(X1,X0)
| ~ r2_hidden(X1,k8_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f477,plain,
( k11_conlat_1(sK0_skl) = g3_lattices(k8_conlat_1(sK0_skl),k10_conlat_1(sK0_skl),k9_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f159,f111]) ).
fof(f478,plain,
k11_conlat_1(sK0_skl) = g3_lattices(k8_conlat_1(sK0_skl),k10_conlat_1(sK0_skl),k9_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f477,f110]) ).
fof(f487,plain,
( v1_funct_1(k10_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f167,f111]) ).
fof(f488,plain,
v1_funct_1(k10_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f487,f110]) ).
fof(f496,plain,
( v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f168,f111]) ).
fof(f497,plain,
v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f496,f110]) ).
fof(f499,plain,
( m2_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f169,f111]) ).
fof(f500,plain,
m2_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f499,f110]) ).
fof(f502,plain,
( v3_lattices(k11_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f172,f111]) ).
fof(f503,plain,
v3_lattices(k11_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f502,f110]) ).
fof(f505,plain,
( l3_lattices(k11_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f173,f111]) ).
fof(f506,plain,
l3_lattices(k11_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f505,f110]) ).
fof(f508,plain,
( m1_conlat_1(k8_conlat_1(sK0_skl),sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f183,f111]) ).
fof(f509,plain,
m1_conlat_1(k8_conlat_1(sK0_skl),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f508,f110]) ).
fof(f514,plain,
( k11_conlat_1(sK0_skl) = g3_lattices(u1_struct_0(k11_conlat_1(sK0_skl)),u2_lattices(k11_conlat_1(sK0_skl)),u1_lattices(k11_conlat_1(sK0_skl)))
| ~ l3_lattices(k11_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f503,f115]) ).
fof(f515,plain,
! [X0] :
( m1_subset_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v3_struct_0(k11_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f506,f179]) ).
fof(f516,plain,
! [X0] :
( m1_subset_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v3_struct_0(k11_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f506,f176]) ).
fof(f518,plain,
k11_conlat_1(sK0_skl) = g3_lattices(u1_struct_0(k11_conlat_1(sK0_skl)),u2_lattices(k11_conlat_1(sK0_skl)),u1_lattices(k11_conlat_1(sK0_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f514,f506]) ).
fof(f530,plain,
( v1_funct_1(k9_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f185,f111]) ).
fof(f531,plain,
v1_funct_1(k9_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f530,f110]) ).
fof(f533,plain,
( v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f186,f111]) ).
fof(f534,plain,
v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f533,f110]) ).
fof(f536,plain,
( m2_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f187,f111]) ).
fof(f537,plain,
m2_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f536,f110]) ).
fof(f558,plain,
( ~ v1_xboole_0(k8_conlat_1(sK0_skl))
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f198,f509]) ).
fof(f559,plain,
( ~ v1_xboole_0(k8_conlat_1(sK0_skl))
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f110]) ).
fof(f568,plain,
~ v1_xboole_0(k8_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f559,f111]) ).
fof(f774,plain,
! [X0] :
( ~ v3_struct_0(g3_lattices(k8_conlat_1(sK0_skl),X0,k9_conlat_1(sK0_skl)))
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(X0)
| v1_xboole_0(k8_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f274,f534]) ).
fof(f781,plain,
! [X0] :
( ~ v3_struct_0(g3_lattices(k8_conlat_1(sK0_skl),X0,k9_conlat_1(sK0_skl)))
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f568]) ).
fof(f784,plain,
! [X0] :
( ~ v3_struct_0(g3_lattices(k8_conlat_1(sK0_skl),X0,k9_conlat_1(sK0_skl)))
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ m1_relset_1(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f531]) ).
fof(f1103,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k10_conlat_1(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f478,f324]) ).
fof(f1108,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f488]) ).
fof(f1131,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f497]) ).
fof(f1491,plain,
m1_relset_1(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(resolution,[status(thm)],[f423,f537]) ).
fof(f1492,plain,
m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)),
inference(resolution,[status(thm)],[f423,f500]) ).
fof(f1505,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k9_conlat_1(sK0_skl))
| ~ m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1131,f1491]) ).
fof(f1508,plain,
! [X0] :
( ~ v3_struct_0(g3_lattices(k8_conlat_1(sK0_skl),X0,k9_conlat_1(sK0_skl)))
| ~ m1_relset_1(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f784,f1491]) ).
fof(f1528,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ m1_relset_1(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f531]) ).
fof(f1610,plain,
! [X0,X1,X2] :
( k8_conlat_1(sK0_skl) = X0
| k11_conlat_1(sK0_skl) != g3_lattices(X0,X1,X2)
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f1492]) ).
fof(f1611,plain,
( k8_conlat_1(sK0_skl) = u1_struct_0(k11_conlat_1(sK0_skl))
| ~ v1_funct_2(k9_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f1610,f518]) ).
fof(f1615,plain,
k8_conlat_1(sK0_skl) = u1_struct_0(k11_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1611,f534]) ).
fof(f1654,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k15_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(sK0_skl))) ),
inference(resolution,[status(thm)],[f430,f516]) ).
fof(f1660,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k16_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(sK0_skl))) ),
inference(resolution,[status(thm)],[f430,f515]) ).
fof(f1943,plain,
( ~ v3_struct_0(g3_lattices(k8_conlat_1(sK0_skl),k10_conlat_1(sK0_skl),k9_conlat_1(sK0_skl)))
| ~ v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k10_conlat_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f1508,f1492]) ).
fof(f1948,plain,
( ~ v3_struct_0(k11_conlat_1(sK0_skl))
| ~ v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl))
| ~ v1_funct_1(k10_conlat_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f478,f1943]) ).
fof(f1949,plain,
( ~ v3_struct_0(k11_conlat_1(sK0_skl))
| ~ v1_funct_2(k10_conlat_1(sK0_skl),k2_zfmisc_1(k8_conlat_1(sK0_skl),k8_conlat_1(sK0_skl)),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1948,f488]) ).
fof(f3327,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k15_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v1_xboole_0(k8_conlat_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f1615,f1654]) ).
fof(f3328,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k15_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl))
| v1_xboole_0(k8_conlat_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f1615,f3327]) ).
fof(f3329,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k15_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3328,f568]) ).
fof(f3348,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k16_lattice3(k11_conlat_1(sK0_skl),X0),u1_struct_0(k11_conlat_1(sK0_skl)))
| v1_xboole_0(k8_conlat_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f1615,f1660]) ).
fof(f3349,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k16_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl))
| v1_xboole_0(k8_conlat_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f1615,f3348]) ).
fof(f3350,plain,
! [X0] :
( v3_struct_0(k11_conlat_1(sK0_skl))
| r2_hidden(k16_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3349,f568]) ).
fof(f4692,plain,
! [X0] : r2_hidden(k16_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl)),
inference(backward_subsumption_resolution,[status(thm)],[f3350,f4702]) ).
fof(f4693,plain,
! [X0] : r2_hidden(k15_lattice3(k11_conlat_1(sK0_skl),X0),k8_conlat_1(sK0_skl)),
inference(backward_subsumption_resolution,[status(thm)],[f3329,f4702]) ).
fof(f4702,plain,
~ v3_struct_0(k11_conlat_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f497]) ).
fof(f4905,plain,
! [X0] :
( l3_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4692,f442]) ).
fof(f4906,plain,
! [X0] :
( v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4692,f441]) ).
fof(f4907,plain,
! [X0] :
( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4692,f440]) ).
fof(f4912,plain,
! [X0] :
( l3_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4905,f110]) ).
fof(f4913,plain,
! [X0] :
( v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4906,f110]) ).
fof(f4914,plain,
! [X0] :
( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4907,f110]) ).
fof(f4998,plain,
! [X0] :
( l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4693,f442]) ).
fof(f4999,plain,
! [X0] :
( v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4693,f441]) ).
fof(f5000,plain,
! [X0] :
( ~ v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl)
| v3_conlat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4693,f440]) ).
fof(f5006,plain,
! [X0] :
( l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4998,f110]) ).
fof(f5007,plain,
! [X0] :
( v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f4999,f110]) ).
fof(f5008,plain,
! [X0] :
( ~ v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl)
| ~ l2_conlat_1(sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f5000,f110]) ).
fof(f5632,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f113,f5633]) ).
fof(f5633,plain,
! [X0] : l3_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4912,f111]) ).
fof(f5640,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f5632,f5641]) ).
fof(f5641,plain,
! [X0] : v9_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4913,f111]) ).
fof(f5643,plain,
( ~ l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f5640,f5644]) ).
fof(f5644,plain,
! [X0] : ~ v7_conlat_1(k16_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4914,f111]) ).
fof(f5677,plain,
( ~ v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl)
| v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f5643,f5678]) ).
fof(f5678,plain,
! [X0] : l3_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f5006,f111]) ).
fof(f5685,plain,
v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),sK1_skl),sK0_skl),
inference(backward_subsumption_resolution,[status(thm)],[f5677,f5686]) ).
fof(f5686,plain,
! [X0] : v9_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f5007,f111]) ).
fof(f5788,plain,
! [X0] : ~ v7_conlat_1(k15_lattice3(k11_conlat_1(sK0_skl),X0),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f5008,f111]) ).
fof(f5789,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f5685,f5788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT338+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 23:39:51 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 6.73/1.61 % Refutation found
% 6.73/1.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.73/1.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.83/1.64 % Elapsed time: 1.199248 seconds
% 1.83/1.64 % CPU time: 9.101416 seconds
% 1.83/1.64 % Total memory used: 187.886 MB
% 1.83/1.64 % Net memory used: 183.469 MB
%------------------------------------------------------------------------------