%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:03:02 PM UTC 2026
% Result : Theorem 0.18s 0.66s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 49
% Syntax : Number of formulae : 230 ( 31 unt; 36 def)
% Number of atoms : 1058 ( 21 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1418 ( 590 ~; 665 |; 92 &)
% ( 39 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 37 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 259 ( 253 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_orders_2(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_1(E) )
=> ( ( v4_waybel34(E,B,C)
& v4_waybel34(D,A,B) )
=> v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_orders_2(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_1(E) )
=> ( ( v4_waybel34(E,B,C)
& v4_waybel34(D,A,B) )
=> v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f17,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v4_waybel34(C,A,B)
<=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(D) )
=> r4_waybel_0(A,B,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_struct_0(B)
& l1_struct_0(A) )
=> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E)
& m1_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D)
& ~ v1_xboole_0(B) )
=> ( m2_relset_1(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_1(k7_funct_2(A,B,C,D,E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v1_finset_1(k9_relat_1(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_struct_0(B)
& l1_struct_0(A) )
=> k4_pre_topc(A,B,C,D) = k9_relat_1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E)
& m1_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D)
& ~ v1_xboole_0(B) )
=> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_orders_2(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(E) )
=> ! [F] :
( ( m2_relset_1(F,u1_struct_0(B),u1_struct_0(C))
& v1_funct_2(F,u1_struct_0(B),u1_struct_0(C))
& v1_funct_1(F) )
=> ( ( r4_waybel_0(B,C,F,k4_pre_topc(A,B,E,D))
& r4_waybel_0(A,B,E,D) )
=> r4_waybel_0(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F),D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ~ v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)
& v4_waybel34(E,B,C)
& v4_waybel34(D,A,B)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v1_funct_1(E) )
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(D) )
& l1_orders_2(C)
& ~ v3_struct_0(C) )
& l1_orders_2(B)
& ~ v3_struct_0(B) )
& l1_orders_2(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( ~ v4_waybel34(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK0_skl,sK2_skl)
& v4_waybel34(sK4_skl,sK1_skl,sK2_skl)
& v4_waybel34(sK3_skl,sK0_skl,sK1_skl)
& m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
& v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
& v1_funct_1(sK4_skl)
& m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
& v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
& v1_funct_1(sK3_skl)
& l1_orders_2(sK2_skl)
& ~ v3_struct_0(sK2_skl)
& l1_orders_2(sK1_skl)
& ~ v3_struct_0(sK1_skl)
& l1_orders_2(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f71]) ).
fof(f73,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
l1_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
~ v3_struct_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
l1_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f77,plain,
~ v3_struct_0(sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f78,plain,
l1_orders_2(sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f79,plain,
v1_funct_1(sK3_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f80,plain,
v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f81,plain,
m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f82,plain,
v1_funct_1(sK4_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f83,plain,
v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f84,plain,
m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f85,plain,
v4_waybel34(sK3_skl,sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f86,plain,
v4_waybel34(sK4_skl,sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f87,plain,
~ v4_waybel34(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f136,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f137,plain,
! [C] :
( v1_relat_1(C)
| ! [A,B] : ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0,X1,X2] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f157,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( v4_waybel34(C,A,B)
<=> ! [D] :
( r4_waybel_0(A,B,C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(D) ) )
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f158,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ r4_waybel_0(A,B,C,D)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(D) )
| v4_waybel34(C,A,B) )
& ( ! [D] :
( r4_waybel_0(A,B,C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(D) )
| ~ v4_waybel34(C,A,B) ) )
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( ~ r4_waybel_0(A,B,C,sK5_skl(C,B,A))
& m1_subset_1(sK5_skl(C,B,A),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(sK5_skl(C,B,A)) )
| v4_waybel34(C,A,B) )
& ( ! [D] :
( r4_waybel_0(A,B,C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(D) )
| ~ v4_waybel34(C,A,B) ) )
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B,A))],[f158]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3)
| ~ v4_waybel34(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( v1_finset_1(sK5_skl(X2,X1,X0))
| v4_waybel34(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f162,plain,
! [X0,X1,X2] :
( m1_subset_1(sK5_skl(X2,X1,X0),k1_zfmisc_1(u1_struct_0(X0)))
| v4_waybel34(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ r4_waybel_0(X0,X1,X2,sK5_skl(X2,X1,X0))
| v4_waybel34(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f164,plain,
! [A,B,C,D] :
( m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f165,plain,
! [A,B,C] :
( ! [D] : m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
! [A,B,C,D,E] :
( ( m2_relset_1(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_1(k7_funct_2(A,B,C,D,E)) )
| ~ m1_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E)
| ~ m1_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D)
| v1_xboole_0(B) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( v1_funct_1(k7_funct_2(X2,X0,X4,X1,X3))
| ~ m1_relset_1(X3,X0,X4)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4] :
( v1_funct_2(k7_funct_2(X2,X0,X4,X1,X3),X2,X4)
| ~ m1_relset_1(X3,X0,X4)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k7_funct_2(X2,X0,X4,X1,X3),X2,X4)
| ~ m1_relset_1(X3,X0,X4)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f173,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f174,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f176,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f187,plain,
! [A,B] :
( v1_finset_1(k9_relat_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f188,plain,
! [X0,X1] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f194,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f195,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f243,plain,
! [A,B,C,D] :
( k4_pre_topc(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f244,plain,
! [A,B,C] :
( ! [D] : k4_pre_topc(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(miniscoping,[status(thm)],[f243]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
! [A,B,C,D,E] :
( k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E)
| ~ m1_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E)
| ~ m1_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D)
| v1_xboole_0(B) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X2,X0,X4,X1,X3) = k5_relat_1(X1,X3)
| ~ m1_relset_1(X3,X0,X4)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,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)],[f60]) ).
fof(f249,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)],[f248]) ).
fof(f250,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f268,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( r4_waybel_0(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F),D)
| ~ r4_waybel_0(B,C,F,k4_pre_topc(A,B,E,D))
| ~ r4_waybel_0(A,B,E,D)
| ~ m2_relset_1(F,u1_struct_0(B),u1_struct_0(C))
| ~ v1_funct_2(F,u1_struct_0(B),u1_struct_0(C))
| ~ v1_funct_1(F) )
| ~ m2_relset_1(E,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(E) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_orders_2(C)
| v3_struct_0(C) )
| ~ l1_orders_2(B)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4,X5] :
( r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3)
| ~ r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))
| ~ r4_waybel_0(X0,X1,X4,X3)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f386,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(resolution,[status(thm)],[f245,f250]) ).
fof(f389,plain,
! [X0,X1,X2,X3] :
( ~ l1_orders_2(X2)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X2))
| k4_pre_topc(X0,X2,X1,X3) = k9_relat_1(X1,X3)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ),
inference(resolution,[status(thm)],[f386,f174]) ).
fof(f475,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X3,X0,X4)
| k7_funct_2(X2,X0,X4,X1,X3) = k5_relat_1(X1,X3)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f247,f250]) ).
fof(f476,plain,
! [X0,X1,X2,X3,X4] :
( v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f269,f163]) ).
fof(f477,plain,
! [X0,X1,X2,X3,X4] :
( v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f476]) ).
fof(f478,plain,
! [X0,X1,X2,X3,X4] :
( v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f162]) ).
fof(f485,plain,
! [X0,X1,X2,X3] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| k4_pre_topc(X1,X2,X0,X3) = k9_relat_1(X0,X3)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0) ),
inference(resolution,[status(thm)],[f389,f174]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X1,X2,X0)
| ~ m2_relset_1(X3,X0,X4)
| k7_funct_2(X2,X0,X4,X1,X3) = k5_relat_1(X1,X3)
| ~ v1_funct_2(X3,X0,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X1,X2,X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f475,f250]) ).
fof(f494,plain,
! [X0] :
( ~ l1_orders_2(sK0_skl)
| ~ l1_orders_2(sK1_skl)
| ~ m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0) = k9_relat_1(sK3_skl,X0)
| ~ v1_funct_1(sK3_skl) ),
inference(resolution,[status(thm)],[f485,f80]) ).
fof(f496,definition,
( sQ21_spl
<=> v1_funct_1(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ21_spl
| ~ v1_funct_1(sK4_skl) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f502,definition,
( sQ23_spl
<=> m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ23_spl
| ~ m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ24_spl
<=> l1_orders_2(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ24_spl
| ~ l1_orders_2(sK2_skl) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ25_spl
<=> l1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ25_spl
| ~ l1_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f512,definition,
( sQ26_spl
<=> v1_funct_1(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ26_spl
| ~ v1_funct_1(sK3_skl) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
! [X0] :
( sQ27_spl
<=> k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0) = k9_relat_1(sK3_skl,X0) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ27_spl
| k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0) = k9_relat_1(sK3_skl,X0) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ28_spl
<=> m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( sQ28_spl
| ~ m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ29_spl
<=> l1_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ29_spl
| ~ l1_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ29_spl
| ~ sQ25_spl
| ~ sQ28_spl
| sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f494,f512,f515,f518,f508,f521]) ).
fof(f525,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f76]) ).
fof(f526,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f532,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f74]) ).
fof(f533,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f81]) ).
fof(f535,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f79]) ).
fof(f537,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f78]) ).
fof(f539,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f84]) ).
fof(f542,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f498,f82]) ).
fof(f544,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ sQ27_spl
| m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| ~ l1_struct_0(sK1_skl)
| ~ l1_struct_0(sK0_skl) ),
inference(paramodulation,[status(thm)],[f516,f166]) ).
fof(f546,definition,
( sQ30_spl
<=> l1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ30_spl
| ~ l1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ31_spl
<=> l1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ31_spl
| ~ l1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ32_spl
<=> v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ32_spl
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ33_spl
<=> m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ33_spl
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
! [X0] :
( sQ34_spl
<=> m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f559,plain,
! [X0] :
( ~ sQ34_spl
| m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl))) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ27_spl
| sQ34_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f545,f546,f549,f512,f552,f555,f558,f515]) ).
fof(f575,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,X1,u1_struct_0(sK1_skl))
| ~ m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl) = k5_relat_1(X0,sK4_skl)
| ~ v1_funct_1(sK4_skl)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1_skl))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f487,f83]) ).
fof(f578,definition,
( sQ37_spl
<=> v1_xboole_0(u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ37_spl
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
! [X0,X1] :
( sQ38_spl
<=> ( ~ m2_relset_1(X0,X1,u1_struct_0(sK1_skl))
| k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl) = k5_relat_1(X0,sK4_skl)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1_skl))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f582,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ m2_relset_1(X0,X1,u1_struct_0(sK1_skl))
| k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl) = k5_relat_1(X0,sK4_skl)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1_skl))
| ~ v1_funct_1(X0) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f575,f578,f581,f496,f502]) ).
fof(f606,definition,
( sQ41_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ41_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f610,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f73]) ).
fof(f611,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ30_spl
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f548,f174]) ).
fof(f613,plain,
( sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f612,f521,f546]) ).
fof(f616,plain,
( ~ sQ37_spl
| ~ l1_struct_0(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f579,f195]) ).
fof(f621,definition,
( sQ42_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ42_spl
| v3_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f616,f621,f549,f578]) ).
fof(f625,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f75]) ).
fof(f626,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( sQ31_spl
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f551,f174]) ).
fof(f628,plain,
( sQ31_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f627,f508,f549]) ).
fof(f633,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| v1_xboole_0(u1_struct_0(X1))
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f478,f171]) ).
fof(f634,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f633]) ).
fof(f635,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f251]) ).
fof(f732,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ r4_waybel_0(X1,X2,X4,k4_pre_topc(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0)))
| ~ r4_waybel_0(X0,X1,X3,sK5_skl(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X2,X0))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f635,f251]) ).
fof(f733,plain,
( ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| v1_xboole_0(u1_struct_0(sK1_skl))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl))
| ~ r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)))
| ~ r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| ~ l1_orders_2(sK2_skl)
| v3_struct_0(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f732,f87]) ).
fof(f734,definition,
( sQ56_spl
<=> v3_struct_0(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ56_spl
| v3_struct_0(sK2_skl) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ57_spl
<=> v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( sQ57_spl
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ58_spl
<=> r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ58_spl
| ~ r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ59_spl
<=> r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( sQ59_spl
| ~ r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ60_spl
<=> v1_funct_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ60_spl
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ61_spl
<=> m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( sQ61_spl
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ62_spl
<=> m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ62_spl
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( ~ sQ62_spl
| ~ sQ33_spl
| sQ37_spl
| ~ sQ61_spl
| ~ sQ60_spl
| ~ sQ59_spl
| ~ sQ58_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ24_spl
| sQ56_spl
| ~ sQ25_spl
| sQ42_spl
| ~ sQ29_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f733,f606,f521,f621,f508,f734,f505,f512,f552,f496,f737,f740,f743,f746,f749,f578,f555,f752]) ).
fof(f767,plain,
( sQ33_spl
| ~ m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f557,f250]) ).
fof(f768,plain,
( sQ33_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f767,f518,f555]) ).
fof(f769,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f80]) ).
fof(f770,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f827,plain,
( ~ sQ38_spl
| ~ m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl) = k5_relat_1(sK3_skl,sK4_skl)
| ~ v1_funct_1(sK3_skl) ),
inference(resolution,[status(thm)],[f582,f80]) ).
fof(f829,definition,
( sQ65_spl
<=> k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl) = k5_relat_1(sK3_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ65_spl
| k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl) = k5_relat_1(sK3_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ38_spl
| ~ sQ28_spl
| sQ65_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f827,f512,f829,f518,f581]) ).
fof(f922,plain,
( sQ62_spl
| ~ m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)) ),
inference(resolution,[status(thm)],[f754,f250]) ).
fof(f923,plain,
( sQ62_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f922,f502,f752]) ).
fof(f969,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f83]) ).
fof(f970,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( sQ61_spl
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f751,f172]) ).
fof(f974,plain,
( sQ61_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f972,f578,f512,f552,f555,f496,f737,f752,f749]) ).
fof(f975,plain,
( sQ60_spl
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f748,f170]) ).
fof(f977,plain,
( sQ60_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f975,f578,f512,f552,f555,f496,f737,f752,f746]) ).
fof(f978,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f516,f745]) ).
fof(f989,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f77]) ).
fof(f990,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f1128,definition,
( sQ98_spl
<=> v4_waybel34(sK3_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( sQ98_spl
| ~ v4_waybel34(sK3_skl,sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1138,plain,
( sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f85]) ).
fof(f1139,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1249,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ m1_subset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))
| ~ v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)))
| ~ v4_waybel34(sK4_skl,sK1_skl,sK2_skl)
| ~ m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ l1_orders_2(sK2_skl)
| v3_struct_0(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f978,f160]) ).
fof(f1250,definition,
( sQ115_spl
<=> v4_waybel34(sK4_skl,sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( sQ115_spl
| ~ v4_waybel34(sK4_skl,sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,definition,
( sQ116_spl
<=> v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( sQ116_spl
| ~ v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,definition,
( sQ117_spl
<=> m1_subset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( sQ117_spl
| ~ m1_subset_1(k9_relat_1(sK3_skl,sK5_skl(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK2_skl,sK0_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl))) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( sQ59_spl
| ~ sQ27_spl
| ~ sQ117_spl
| ~ sQ116_spl
| ~ sQ115_spl
| ~ sQ23_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ24_spl
| sQ56_spl
| ~ sQ25_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1249,f621,f508,f734,f505,f496,f737,f502,f1250,f1253,f1256,f515,f743]) ).
fof(f1263,plain,
( sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f86]) ).
fof(f1264,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1415,plain,
( sQ58_spl
| ~ sQ65_spl
| ~ r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f830,f742]) ).
fof(f1418,plain,
( ~ sQ65_spl
| ~ v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f830,f87]) ).
fof(f1422,plain,
( ~ sQ65_spl
| m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(paramodulation,[status(thm)],[f830,f172]) ).
fof(f1423,plain,
( ~ sQ65_spl
| v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(paramodulation,[status(thm)],[f830,f171]) ).
fof(f1424,plain,
( ~ sQ65_spl
| v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))
| ~ m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(sK4_skl)
| ~ m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| v1_xboole_0(u1_struct_0(sK1_skl)) ),
inference(paramodulation,[status(thm)],[f830,f170]) ).
fof(f1425,definition,
( sQ131_spl
<=> v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( ~ sQ131_spl
| v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1429,definition,
( sQ132_spl
<=> v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1440,definition,
( sQ135_spl
<=> m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( ~ sQ65_spl
| sQ135_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1422,f578,f512,f552,f555,f496,f737,f752,f1440,f829]) ).
fof(f1444,plain,
( ~ sQ65_spl
| sQ132_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1423,f578,f512,f552,f555,f496,f737,f752,f1429,f829]) ).
fof(f1445,definition,
( sQ136_spl
<=> v1_funct_1(k5_relat_1(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( ~ sQ65_spl
| sQ136_spl
| ~ sQ62_spl
| ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ26_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1424,f578,f512,f552,f555,f496,f737,f752,f1445,f829]) ).
fof(f1465,plain,
( sQ58_spl
| ~ sQ65_spl
| ~ m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))
| ~ v4_waybel34(sK3_skl,sK0_skl,sK1_skl)
| ~ m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK3_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1415,f160]) ).
fof(f1466,definition,
( sQ139_spl
<=> v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( sQ139_spl
| ~ v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,definition,
( sQ140_spl
<=> m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ140_spl
| ~ m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,plain,
( sQ58_spl
| ~ sQ65_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ98_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ25_spl
| sQ42_spl
| ~ sQ29_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1465,f606,f521,f621,f508,f512,f552,f518,f1128,f1466,f1469,f829,f740]) ).
fof(f1561,plain,
( sQ139_spl
| v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)
| ~ m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))
| ~ l1_orders_2(sK2_skl)
| v3_struct_0(sK2_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1468,f161]) ).
fof(f1564,plain,
( sQ139_spl
| sQ131_spl
| ~ sQ135_spl
| ~ sQ132_spl
| ~ sQ136_spl
| ~ sQ24_spl
| sQ56_spl
| ~ sQ29_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1561,f606,f521,f734,f505,f1445,f1429,f1440,f1425,f1466]) ).
fof(f1567,plain,
( ~ sQ131_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f1418]) ).
fof(f1568,plain,
( ~ sQ131_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1612,plain,
( sQ116_spl
| ~ sQ65_spl
| ~ v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f830,f1255]) ).
fof(f1613,plain,
( sQ116_spl
| ~ sQ65_spl
| ~ v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))
| ~ v1_funct_1(sK3_skl)
| ~ v1_relat_1(sK3_skl) ),
inference(resolution,[status(thm)],[f1612,f188]) ).
fof(f1616,definition,
( sQ148_spl
<=> v1_relat_1(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( sQ148_spl
| ~ v1_relat_1(sK3_skl) ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,plain,
( sQ116_spl
| ~ sQ65_spl
| ~ sQ139_spl
| ~ sQ26_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f1613,f1616,f512,f1466,f829,f1253]) ).
fof(f1623,plain,
( sQ117_spl
| ~ sQ65_spl
| ~ m1_subset_1(k9_relat_1(sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f830,f1258]) ).
fof(f1624,plain,
( sQ117_spl
| ~ sQ65_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1623,f559]) ).
fof(f1625,plain,
( sQ117_spl
| ~ sQ65_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1624]) ).
fof(f1627,plain,
! [X0,X1] :
( sQ148_spl
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(resolution,[status(thm)],[f1618,f138]) ).
fof(f1628,plain,
! [X0,X1] :
( sQ148_spl
| ~ m2_relset_1(sK3_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1627,f176]) ).
fof(f1631,plain,
( sQ148_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f81,f1628]) ).
fof(f1633,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1731,plain,
( sQ140_spl
| v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)
| ~ m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))
| ~ v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))
| ~ l1_orders_2(sK2_skl)
| v3_struct_0(sK2_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1471,f162]) ).
fof(f1734,plain,
( sQ140_spl
| sQ131_spl
| ~ sQ135_spl
| ~ sQ132_spl
| ~ sQ136_spl
| ~ sQ24_spl
| sQ56_spl
| ~ sQ29_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1731,f606,f521,f734,f505,f1445,f1429,f1440,f1425,f1469]) ).
fof(f1735,plain,
$false,
inference(sat_refutation,[status(thm)],[f524,f526,f533,f535,f537,f539,f542,f544,f561,f584,f611,f613,f624,f626,f628,f755,f768,f770,f832,f923,f970,f974,f977,f990,f1139,f1259,f1264,f1443,f1444,f1448,f1472,f1564,f1568,f1619,f1625,f1633,f1734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 00:00:39 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.66 % Refutation found
% 0.18/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.70 % Elapsed time: 0.236335 seconds
% 0.18/0.70 % CPU time: 1.436562 seconds
% 0.18/0.70 % Total memory used: 106.805 MB
% 0.18/0.70 % Net memory used: 105.811 MB
%------------------------------------------------------------------------------