%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT374+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 : n012.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 01:03:00 PM UTC 2026
% Result : Theorem 137.55s 17.81s
% Output : CNFRefutation 108.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 154
% Syntax : Number of formulae : 721 ( 95 unt; 112 def)
% Number of atoms : 2891 ( 17 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 3395 (1225 ~;1557 |; 422 &)
% ( 125 <=>; 65 =>; 0 <=; 1 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 155 ( 153 usr; 112 prp; 0-6 aty)
% Number of functors : 28 ( 28 usr; 11 con; 0-4 aty)
% Number of variables : 348 ( 331 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
<=> ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
<=> ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_yellow_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] :
( ( l2_altcat_1(A)
& v3_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_altcat_2(B,A)
=> ( ( v3_altcat_2(B,A)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
=> ( v3_yellow21(B)
& v2_yellow21(B)
& v1_yellow21(B)
& v4_yellow18(B)
& v3_yellow18(B)
& v2_yellow18(B)
& v3_altcat_2(B,A)
& v1_altcat_2(B)
& v12_altcat_1(B)
& v11_altcat_1(B)
& v9_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v24_waybel_0(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v3_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v2_yellow21(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v12_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v1_altcat_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v2_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A] :
( l1_orders_2(A)
=> ( v3_yellow_0(A)
=> ( v2_yellow_0(A)
& v1_yellow_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A] :
( ( l2_altcat_1(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_altcat_2(B,A)
=> ( ( v2_altcat_1(B)
& ~ v3_struct_0(B) )
=> ( v11_altcat_1(B)
& v9_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( ( l2_altcat_1(A)
& v1_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_altcat_2(B,A)
=> ( ( v3_altcat_2(B,A)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
=> ( v1_yellow21(B)
& v3_altcat_2(B,A)
& v1_altcat_2(B)
& v12_altcat_1(B)
& v11_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v24_waybel_0(A)
& v1_lattice3(A)
& v2_orders_2(A) )
=> ( v2_yellow_0(A)
& v1_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A] :
( l2_altcat_1(A)
=> ! [B] :
( l2_altcat_1(B)
=> ( m1_altcat_2(B,A)
<=> ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A))
& r1_tarski(u1_struct_0(B),u1_struct_0(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( m1_altcat_2(B,k5_waybel34(A))
& v3_altcat_2(B,k5_waybel34(A))
& v6_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
=> ( B = k9_waybel34(A)
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k5_waybel34(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( F = D
& E = C )
=> ( ! [G] :
( m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D))
=> ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) ) )
| k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0 ) ) ) ) ) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> m1_subset_1(C,u1_struct_0(B)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( l2_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( m1_altcat_2(k9_waybel34(A),k5_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& ~ v3_struct_0(k9_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A] :
( l1_altcat_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [A] :
( l2_altcat_1(A)
=> l1_altcat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A] :
( l2_altcat_1(A)
=> ! [B] :
( m1_altcat_2(B,A)
=> l2_altcat_1(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
? [A] : l1_orders_2(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,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(f100,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v3_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,axiom,
? [A] :
( v25_waybel_0(A)
& v24_waybel_0(A)
& v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,axiom,
? [A] :
( v3_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,axiom,
? [A] :
( v3_yellow21(A)
& v2_yellow21(A)
& v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v6_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A)
& l2_altcat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
? [A] :
( v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,axiom,
? [A] :
( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k5_waybel34(A)))
<=> ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f133,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,plain,
? [A] :
( ? [B] :
( ( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
<~> ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) ) )
& l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& ~ v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f141,plain,
? [A] :
( ? [B] :
( ( ~ r2_hidden(u1_struct_0(B),A)
| ~ v3_lattice3(B)
| ~ v1_orders_2(B)
| ~ m1_subset_1(B,u1_struct_0(k9_waybel34(A))) )
& ( ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) )
| m1_subset_1(B,u1_struct_0(k9_waybel34(A))) )
& l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& ~ v2_setfam_1(A) ),
inference(NNF_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
( ( ~ r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v1_orders_2(sK1_skl)
| ~ m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) )
& ( ( r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
& v3_lattice3(sK1_skl)
& v1_orders_2(sK1_skl) )
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) )
& l1_orders_2(sK1_skl)
& v2_lattice3(sK1_skl)
& v1_lattice3(sK1_skl)
& v4_orders_2(sK1_skl)
& v3_orders_2(sK1_skl)
& v2_orders_2(sK1_skl)
& ~ v2_setfam_1(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f141]) ).
fof(f143,plain,
~ v2_setfam_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
v2_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
v3_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
v4_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,plain,
v1_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f148,plain,
v2_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f149,plain,
l1_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f150,plain,
( v1_orders_2(sK1_skl)
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f151,plain,
( v3_lattice3(sK1_skl)
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f152,plain,
( r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f153,plain,
( ~ r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v1_orders_2(sK1_skl)
| ~ m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f162,plain,
! [A] :
( ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f165,plain,
! [X0] :
( v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f166,plain,
! [X0] :
( v25_waybel_0(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f170,plain,
! [A] :
( ( v1_yellow_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f173,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v1_yellow_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f174,plain,
! [A] :
( ! [B] :
( ( v3_yellow21(B)
& v2_yellow21(B)
& v1_yellow21(B)
& v4_yellow18(B)
& v3_yellow18(B)
& v2_yellow18(B)
& v3_altcat_2(B,A)
& v1_altcat_2(B)
& v12_altcat_1(B)
& v11_altcat_1(B)
& v9_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
| ~ v3_altcat_2(B,A)
| ~ v2_altcat_1(B)
| v3_struct_0(B)
| ~ m1_altcat_2(B,A) )
| ~ l2_altcat_1(A)
| ~ v3_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f179,plain,
! [X0,X1] :
( v12_altcat_1(X1)
| ~ m1_altcat_2(X1,X0)
| ~ v3_altcat_2(X1,X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| ~ v3_yellow21(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f180,plain,
! [X0,X1] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v1_altcat_2(X1)
| ~ m1_altcat_2(X1,X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X0)
| ~ v3_yellow21(X0)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| v3_struct_0(X0)
| ~ v11_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f183,plain,
! [X0,X1] :
( v3_struct_0(X1)
| ~ v11_altcat_1(X0)
| ~ m1_altcat_2(X1,X0)
| ~ v2_altcat_1(X1)
| ~ v3_yellow21(X0)
| ~ v3_altcat_2(X1,X0)
| ~ l2_altcat_1(X0)
| v3_yellow18(X1)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f184,plain,
! [X0,X1] :
( ~ v3_yellow21(X1)
| v3_struct_0(X0)
| ~ m1_altcat_2(X0,X1)
| ~ v11_altcat_1(X1)
| v4_yellow18(X0)
| ~ v3_altcat_2(X0,X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f186,plain,
! [X0,X1] :
( ~ m1_altcat_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_altcat_2(X1,X0)
| v2_yellow21(X1)
| ~ v12_altcat_1(X0)
| v3_struct_0(X1)
| ~ v11_altcat_1(X0)
| ~ v3_yellow21(X0)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| ~ v2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f187,plain,
! [X0,X1] :
( ~ v12_altcat_1(X0)
| v3_yellow21(X1)
| v3_struct_0(X0)
| ~ v3_yellow21(X0)
| v3_struct_0(X1)
| ~ m1_altcat_2(X1,X0)
| ~ v11_altcat_1(X0)
| ~ v3_altcat_2(X1,X0)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| ~ v2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f192,plain,
! [A] :
( ( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v24_waybel_0(A)
| ~ v1_yellow_0(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f202,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v4_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f208,plain,
! [A] :
( ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f212,plain,
! [X0] :
( ~ v25_waybel_0(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v2_lattice3(X0) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f219,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v2_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f223,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f247,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f248,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f250,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f262,plain,
! [A] :
( ( v2_yellow21(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
| ~ v3_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f268,plain,
! [X0] :
( v2_yellow21(X0)
| ~ v11_altcat_1(X0)
| ~ v3_yellow21(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f269,plain,
! [A] :
( ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f271,plain,
! [X0] :
( ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| v1_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f294,plain,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_funct_1(A)
| ~ v1_xboole_0(A)
| ~ v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f297,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v2_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f298,plain,
! [A] :
( ( v1_altcat_2(A)
& ~ v3_struct_0(A) )
| ~ v12_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f300,plain,
! [X0] :
( v1_altcat_2(X0)
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f301,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f302,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f305,plain,
! [A] :
( ~ v1_xboole_0(A)
| v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f306,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
! [A] :
( ( v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
| ~ v2_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f310,plain,
! [X0] :
( ~ v2_yellow21(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v9_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f314,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_yellow21(X0)
| ~ v2_altcat_1(X0)
| ~ l2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| v2_yellow18(X0)
| ~ v12_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f315,plain,
! [X0] :
( ~ v2_yellow21(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v3_yellow18(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0)
| ~ v11_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f316,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v2_yellow21(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v4_yellow18(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f317,plain,
! [X0] :
( ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| ~ v2_yellow21(X0)
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| v1_yellow21(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f325,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_yellow_0(A) )
| ~ v3_yellow_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f327,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_yellow_0(X0)
| v2_yellow_0(X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f346,plain,
! [A] :
( ! [B] :
( ( v11_altcat_1(B)
& v9_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
| ~ v2_altcat_1(B)
| v3_struct_0(B)
| ~ m1_altcat_2(B,A) )
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v9_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f350,plain,
! [X0,X1] :
( ~ m1_altcat_2(X0,X1)
| ~ v11_altcat_1(X1)
| ~ v9_altcat_1(X1)
| v11_altcat_1(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
! [A] :
( ! [B] :
( ( v1_yellow21(B)
& v3_altcat_2(B,A)
& v1_altcat_2(B)
& v12_altcat_1(B)
& v11_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
| ~ v3_altcat_2(B,A)
| ~ v2_altcat_1(B)
| v3_struct_0(B)
| ~ m1_altcat_2(B,A) )
| ~ l2_altcat_1(A)
| ~ v1_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f358,plain,
! [X0,X1] :
( ~ m1_altcat_2(X1,X0)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| v1_yellow21(X1)
| ~ v11_altcat_1(X0)
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| ~ v3_altcat_2(X1,X0)
| ~ l2_altcat_1(X0)
| ~ v1_yellow21(X0) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f359,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v24_waybel_0(A)
| ~ v1_lattice3(A)
| ~ v2_orders_2(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f48]) ).
fof(f363,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f377,plain,
! [A] :
( ! [B] :
( ( m1_altcat_2(B,A)
<=> ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A))
& r1_tarski(u1_struct_0(B),u1_struct_0(A)) ) )
| ~ l2_altcat_1(B) )
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f378,plain,
! [A] :
( ! [B] :
( ( ( ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A))
| ~ r1_tarski(u1_struct_0(B),u1_struct_0(A))
| m1_altcat_2(B,A) )
& ( ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A))
& r1_tarski(u1_struct_0(B),u1_struct_0(A)) )
| ~ m1_altcat_2(B,A) ) )
| ~ l2_altcat_1(B) )
| ~ l2_altcat_1(A) ),
inference(NNF_transformation,[status(thm)],[f377]) ).
fof(f379,plain,
! [X0,X1] :
( ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| ~ m1_altcat_2(X0,X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f383,plain,
! [A] :
( ! [B] :
( ( B = k9_waybel34(A)
<=> ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) )
| ~ m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D)) )
| k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0
| F != D
| E != C
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(k5_waybel34(A))) )
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) ) ) )
| ~ m1_altcat_2(B,k5_waybel34(A))
| ~ v3_altcat_2(B,k5_waybel34(A))
| ~ v6_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B) )
| v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f384,definition,
! [A,B,C,D,E,F] :
( sP0_prd(F,E,D,C,B,A)
<=> ( ! [G] :
( ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) )
| ~ m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D)) )
| k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0
| F != D
| E != C ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f385,plain,
! [A] :
( ! [B] :
( ( B = k9_waybel34(A)
<=> ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( sP0_prd(F,E,D,C,B,A)
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(k5_waybel34(A))) )
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) ) ) )
| ~ m1_altcat_2(B,k5_waybel34(A))
| ~ v3_altcat_2(B,k5_waybel34(A))
| ~ v6_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B) )
| v2_setfam_1(A) ),
inference(formula_renaming,[status(thm)],[f383,f384]) ).
fof(f386,plain,
! [A] :
( ! [B] :
( ( ( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ~ sP0_prd(F,E,D,C,B,A)
& m1_subset_1(F,u1_struct_0(B)) )
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(k5_waybel34(A))) )
& m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
| ? [C] :
( ~ m1_subset_1(C,u1_struct_0(B))
& m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
| B = k9_waybel34(A) )
& ( ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( sP0_prd(F,E,D,C,B,A)
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(k5_waybel34(A))) )
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) ) )
| B != k9_waybel34(A) ) )
| ~ m1_altcat_2(B,k5_waybel34(A))
| ~ v3_altcat_2(B,k5_waybel34(A))
| ~ v6_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B) )
| v2_setfam_1(A) ),
inference(NNF_transformation,[status(thm)],[f385]) ).
fof(f387,plain,
! [A] :
( ! [B] :
( ( ( ( ~ sP0_prd(sK6_skl(B,A),sK5_skl(B,A),sK4_skl(B,A),sK3_skl(B,A),B,A)
& m1_subset_1(sK6_skl(B,A),u1_struct_0(B))
& m1_subset_1(sK5_skl(B,A),u1_struct_0(B))
& m1_subset_1(sK4_skl(B,A),u1_struct_0(k5_waybel34(A)))
& m1_subset_1(sK3_skl(B,A),u1_struct_0(k5_waybel34(A))) )
| ( ~ m1_subset_1(sK2_skl(B,A),u1_struct_0(B))
& m1_subset_1(sK2_skl(B,A),u1_struct_0(k5_waybel34(A))) )
| B = k9_waybel34(A) )
& ( ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( sP0_prd(F,E,D,C,B,A)
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(k5_waybel34(A))) )
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(k5_waybel34(A))) ) )
| B != k9_waybel34(A) ) )
| ~ m1_altcat_2(B,k5_waybel34(A))
| ~ v3_altcat_2(B,k5_waybel34(A))
| ~ v6_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B) )
| v2_setfam_1(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(C,sK2_skl(B,A)),skolemize(C,sK3_skl(B,A)),skolemize(D,sK4_skl(B,A)),skolemize(E,sK5_skl(B,A)),skolemize(F,sK6_skl(B,A))],[f386]) ).
fof(f388,plain,
! [X0,X1,X2] :
( ~ v3_altcat_2(X2,k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ m1_altcat_2(X2,k5_waybel34(X1))
| X2 != k9_waybel34(X1)
| ~ v6_altcat_1(X2)
| m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1))) ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f424,plain,
! [A] :
( ( l2_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) )
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f426,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f429,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f431,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f437,plain,
! [A] :
( ( m1_altcat_2(k9_waybel34(A),k5_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& ~ v3_struct_0(k9_waybel34(A)) )
| v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f438,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k9_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
! [X0] :
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f443,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f444,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f447,plain,
! [A] :
( l1_altcat_1(A)
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f71]) ).
fof(f448,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f449,plain,
! [A] :
( ! [B] :
( l2_altcat_1(B)
| ~ m1_altcat_2(B,A) )
| ~ l2_altcat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f450,plain,
! [X0,X1] :
( ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X0,X1)
| l2_altcat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f467,plain,
l1_orders_2(sK8_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f83]) ).
fof(f468,plain,
l1_orders_2(sK8_skl),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f498,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f499,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f498]) ).
fof(f513,plain,
! [A] :
( ( v3_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) )
| v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f100]) ).
fof(f514,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f518,plain,
! [X0] :
( v2_setfam_1(X0)
| v11_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f519,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f524,plain,
! [X0] :
( v2_setfam_1(X0)
| v1_yellow21(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f525,plain,
! [X0] :
( v2_yellow21(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f526,plain,
! [X0] :
( v3_yellow21(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f548,plain,
( v25_waybel_0(sK17_skl)
& v24_waybel_0(sK17_skl)
& v3_yellow_0(sK17_skl)
& v2_yellow_0(sK17_skl)
& v1_yellow_0(sK17_skl)
& v3_lattice3(sK17_skl)
& v2_lattice3(sK17_skl)
& v1_lattice3(sK17_skl)
& v4_orders_2(sK17_skl)
& v3_orders_2(sK17_skl)
& v2_orders_2(sK17_skl)
& v1_orders_2(sK17_skl)
& ~ v3_struct_0(sK17_skl)
& l1_orders_2(sK17_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f107]) ).
fof(f549,plain,
l1_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f552,plain,
v2_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f553,plain,
v3_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f554,plain,
v4_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f556,plain,
v2_lattice3(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f557,plain,
v3_lattice3(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f559,plain,
v2_yellow_0(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f560,plain,
v3_yellow_0(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f562,plain,
v25_waybel_0(sK17_skl),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f569,plain,
( v3_lattice3(sK20_skl)
& v4_orders_2(sK20_skl)
& v3_orders_2(sK20_skl)
& v2_orders_2(sK20_skl)
& v1_orders_2(sK20_skl)
& ~ v3_struct_0(sK20_skl)
& l1_orders_2(sK20_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(A,sK20_skl)],[f110]) ).
fof(f570,plain,
l1_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f571,plain,
~ v3_struct_0(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f573,plain,
v2_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f574,plain,
v3_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f575,plain,
v4_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f576,plain,
v3_lattice3(sK20_skl),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f592,plain,
( v3_yellow21(sK23_skl)
& v2_yellow21(sK23_skl)
& v1_yellow21(sK23_skl)
& v4_yellow18(sK23_skl)
& v3_yellow18(sK23_skl)
& v2_yellow18(sK23_skl)
& v1_altcat_2(sK23_skl)
& v12_altcat_1(sK23_skl)
& v11_altcat_1(sK23_skl)
& v9_altcat_1(sK23_skl)
& v6_altcat_1(sK23_skl)
& v2_altcat_1(sK23_skl)
& ~ v3_struct_0(sK23_skl)
& l2_altcat_1(sK23_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f113]) ).
fof(f593,plain,
l2_altcat_1(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f594,plain,
~ v3_struct_0(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f595,plain,
v2_altcat_1(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f598,plain,
v11_altcat_1(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f599,plain,
v12_altcat_1(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f605,plain,
v2_yellow21(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f606,plain,
v3_yellow21(sK23_skl),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f607,plain,
( v1_funct_1(sK24_skl)
& v1_xboole_0(sK24_skl)
& v1_relat_1(sK24_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(A,sK24_skl)],[f114]) ).
fof(f608,plain,
v1_relat_1(sK24_skl),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
v1_xboole_0(sK24_skl),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f611,plain,
( v3_lattice3(sK25_skl)
& v2_lattice3(sK25_skl)
& v1_lattice3(sK25_skl)
& v4_orders_2(sK25_skl)
& v3_orders_2(sK25_skl)
& v2_orders_2(sK25_skl)
& v1_orders_2(sK25_skl)
& ~ v3_struct_0(sK25_skl)
& l1_orders_2(sK25_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(A,sK25_skl)],[f115]) ).
fof(f612,plain,
l1_orders_2(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
~ v3_struct_0(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f615,plain,
v2_orders_2(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f616,plain,
v3_orders_2(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f617,plain,
v4_orders_2(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f618,plain,
v1_lattice3(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f620,plain,
v3_lattice3(sK25_skl),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f623,plain,
( v3_yellow_0(sK27_skl)
& v2_yellow_0(sK27_skl)
& v1_yellow_0(sK27_skl)
& v3_lattice3(sK27_skl)
& v2_lattice3(sK27_skl)
& v1_lattice3(sK27_skl)
& v4_orders_2(sK27_skl)
& v3_orders_2(sK27_skl)
& v2_orders_2(sK27_skl)
& ~ v3_struct_0(sK27_skl)
& l1_orders_2(sK27_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl]),skolemize(A,sK27_skl)],[f117]) ).
fof(f624,plain,
l1_orders_2(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f626,plain,
v2_orders_2(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f627,plain,
v3_orders_2(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f628,plain,
v4_orders_2(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f629,plain,
v1_lattice3(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f631,plain,
v3_lattice3(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f634,plain,
v3_yellow_0(sK27_skl),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f640,plain,
( v2_funct_1(sK29_skl)
& v1_funct_1(sK29_skl)
& v1_relat_1(sK29_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(A,sK29_skl)],[f119]) ).
fof(f641,plain,
v1_relat_1(sK29_skl),
inference(cnf_transformation,[status(thm)],[f640]) ).
fof(f682,plain,
! [A] :
( ! [B] :
( ( m1_subset_1(B,u1_struct_0(k5_waybel34(A)))
<=> ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) ) )
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| v2_setfam_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f131]) ).
fof(f683,plain,
! [A] :
( ! [B] :
( ( ( ~ r2_hidden(u1_struct_0(B),A)
| ~ v3_lattice3(B)
| ~ v1_orders_2(B)
| m1_subset_1(B,u1_struct_0(k5_waybel34(A))) )
& ( ( r2_hidden(u1_struct_0(B),A)
& v3_lattice3(B)
& v1_orders_2(B) )
| ~ m1_subset_1(B,u1_struct_0(k5_waybel34(A))) ) )
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| v2_setfam_1(A) ),
inference(NNF_transformation,[status(thm)],[f682]) ).
fof(f684,plain,
! [X0,X1] :
( ~ v4_orders_2(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| v2_setfam_1(X1)
| v1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f685,plain,
! [X0,X1] :
( ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| v2_setfam_1(X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f686,plain,
! [X0,X1] :
( ~ v2_orders_2(X0)
| v2_setfam_1(X1)
| ~ l1_orders_2(X0)
| r2_hidden(u1_struct_0(X0),X1)
| ~ v1_lattice3(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v2_lattice3(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f687,plain,
! [X0,X1] :
( ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v2_lattice3(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f690,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f133]) ).
fof(f691,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f692,plain,
! [A,B] :
( ( ~ r1_tarski(A,B)
| m1_subset_1(A,k1_zfmisc_1(B)) )
& ( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(NNF_transformation,[status(thm)],[f134]) ).
fof(f693,plain,
( ! [A,B] :
( ~ r1_tarski(A,B)
| m1_subset_1(A,k1_zfmisc_1(B)) )
& ! [A,B] :
( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(miniscoping,[status(thm)],[f692]) ).
fof(f695,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f693]) ).
fof(f696,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f135]) ).
fof(f697,plain,
! [A,C] :
( m1_subset_1(A,C)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ) ),
inference(miniscoping,[status(thm)],[f696]) ).
fof(f698,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f704,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f138]) ).
fof(f705,plain,
! [B] :
( ~ v1_xboole_0(B)
| ! [A] : ~ r2_hidden(A,B) ),
inference(miniscoping,[status(thm)],[f704]) ).
fof(f706,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f705]) ).
fof(f721,definition,
( sQ0_spl
<=> m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ0_spl
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ1_spl
<=> v1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f150,f721,f724]) ).
fof(f728,definition,
( sQ2_spl
<=> v3_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f151,f721,f728]) ).
fof(f732,definition,
( sQ3_spl
<=> r2_hidden(u1_struct_0(sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ3_spl
| r2_hidden(u1_struct_0(sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f152,f721,f732]) ).
fof(f736,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f153,f721,f724,f728,f732]) ).
fof(f746,plain,
( v25_waybel_0(sK25_skl)
| v3_struct_0(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| ~ v3_lattice3(sK25_skl) ),
inference(resolution,[status(thm)],[f166,f612]) ).
fof(f747,definition,
( sQ6_spl
<=> v3_lattice3(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( sQ6_spl
| ~ v3_lattice3(sK25_skl) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ7_spl
<=> v2_orders_2(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( sQ7_spl
| ~ v2_orders_2(sK25_skl) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ8_spl
<=> v3_struct_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ8_spl
| v3_struct_0(sK25_skl) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ9_spl
<=> v25_waybel_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ9_spl
| v25_waybel_0(sK25_skl) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( sQ9_spl
| sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f746,f747,f750,f753,f756]) ).
fof(f760,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f615]) ).
fof(f761,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( v25_waybel_0(sK27_skl)
| v3_struct_0(sK27_skl)
| ~ v2_orders_2(sK27_skl)
| ~ v3_lattice3(sK27_skl) ),
inference(resolution,[status(thm)],[f624,f166]) ).
fof(f763,definition,
( sQ10_spl
<=> v3_lattice3(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ10_spl
| ~ v3_lattice3(sK27_skl) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ11_spl
<=> v2_orders_2(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( sQ11_spl
| ~ v2_orders_2(sK27_skl) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ12_spl
<=> v3_struct_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f772,definition,
( sQ13_spl
<=> v25_waybel_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ13_spl
| v25_waybel_0(sK27_skl) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( sQ13_spl
| sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f762,f763,f766,f769,f772]) ).
fof(f782,definition,
( sQ14_spl
<=> v3_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( sQ14_spl
| ~ v3_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ15_spl
<=> v2_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( sQ15_spl
| ~ v2_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ16_spl
<=> l1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( sQ16_spl
| ~ l1_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f797,definition,
( sQ19_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f800,definition,
( sQ20_spl
<=> v4_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ20_spl
| ~ v4_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f807,definition,
( sQ22_spl
<=> v1_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ22_spl
| ~ v1_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f811,definition,
( sQ23_spl
<=> v3_orders_2(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( sQ23_spl
| ~ v3_orders_2(sK27_skl) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ24_spl
<=> v1_lattice3(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( sQ24_spl
| ~ v1_lattice3(sK27_skl) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ25_spl
<=> v24_waybel_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f820,definition,
( sQ26_spl
<=> v1_yellow_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f823,definition,
( sQ27_spl
<=> v4_orders_2(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( sQ27_spl
| ~ v4_orders_2(sK27_skl) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ28_spl
<=> v3_yellow_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( sQ28_spl
| ~ v3_yellow_0(sK27_skl) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f830,definition,
( sQ29_spl
<=> l1_orders_2(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( sQ29_spl
| ~ l1_orders_2(sK27_skl) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f834,definition,
( sQ30_spl
<=> v3_orders_2(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ30_spl
| ~ v3_orders_2(sK25_skl) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ31_spl
<=> v1_lattice3(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f840,definition,
( sQ32_spl
<=> v24_waybel_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f843,definition,
( sQ33_spl
<=> v1_yellow_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f846,definition,
( sQ34_spl
<=> v4_orders_2(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ34_spl
| ~ v4_orders_2(sK25_skl) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ35_spl
<=> v3_yellow_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f624]) ).
fof(f855,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f816,f629]) ).
fof(f857,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f627]) ).
fof(f859,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f628]) ).
fof(f861,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f146]) ).
fof(f863,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f147]) ).
fof(f865,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f145]) ).
fof(f867,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f866]) ).
fof(f878,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f790,f149]) ).
fof(f879,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f895,definition,
( sQ40_spl
<=> v3_struct_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ40_spl
| v3_struct_0(sK17_skl) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,definition,
( sQ41_spl
<=> v25_waybel_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( sQ41_spl
| ~ v25_waybel_0(sK17_skl) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ42_spl
<=> l1_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ42_spl
| l1_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( sQ42_spl
| ~ l1_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ43_spl
<=> v2_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ43_spl
| ~ v2_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ44_spl
<=> v3_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( sQ44_spl
| ~ v3_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ45_spl
<=> v4_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ45_spl
| ~ v4_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ46_spl
<=> v3_lattice3(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( sQ46_spl
| ~ v3_lattice3(sK17_skl) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ47_spl
<=> v24_waybel_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f553]) ).
fof(f922,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f921]) ).
fof(f923,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f900,f562]) ).
fof(f924,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f144]) ).
fof(f926,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f929,definition,
( sQ48_spl
<=> v2_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( sQ48_spl
| ~ v2_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f933,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f148]) ).
fof(f934,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ49_spl
<=> l1_orders_2(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ49_spl
| ~ l1_orders_2(sK25_skl) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ50_spl
<=> v2_lattice3(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f612]) ).
fof(f944,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ51_spl
<=> v2_lattice3(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f950,plain,
! [X0] :
( ~ v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| v3_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f202,f250]) ).
fof(f951,plain,
( ~ v3_struct_0(sK1_skl)
| ~ v1_lattice3(sK1_skl) ),
inference(resolution,[status(thm)],[f250,f149]) ).
fof(f952,plain,
( ~ v3_struct_0(sK27_skl)
| ~ v1_lattice3(sK27_skl) ),
inference(resolution,[status(thm)],[f250,f624]) ).
fof(f954,plain,
( ~ sQ12_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f952,f814,f769]) ).
fof(f956,plain,
( ~ sQ19_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f951,f807,f797]) ).
fof(f960,definition,
( sQ52_spl
<=> v2_lattice3(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ52_spl
| ~ v2_lattice3(sK17_skl) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f964,definition,
( sQ53_spl
<=> v2_yellow_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ53_spl
| ~ v2_yellow_0(sK17_skl) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f969,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f966,f559]) ).
fof(f970,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f992,definition,
( sQ55_spl
<=> v2_yellow_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
( ~ sQ40_spl
| ~ v2_lattice3(sK17_skl)
| ~ l1_orders_2(sK17_skl) ),
inference(resolution,[status(thm)],[f896,f302]) ).
fof(f1003,plain,
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1002,f901,f960,f895]) ).
fof(f1004,definition,
( sQ57_spl
<=> v1_lattice3(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f768]) ).
fof(f1009,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1010,plain,
( ~ sQ0_spl
| v1_xboole_0(u1_struct_0(k9_waybel34(sK0_skl)))
| r2_hidden(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(resolution,[status(thm)],[f691,f722]) ).
fof(f1011,definition,
( sQ58_spl
<=> r2_hidden(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ58_spl
| r2_hidden(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ59_spl
<=> v1_xboole_0(u1_struct_0(k9_waybel34(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ59_spl
| v1_xboole_0(u1_struct_0(k9_waybel34(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( ~ sQ0_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1010,f1011,f1014,f721]) ).
fof(f1019,definition,
( sQ60_spl
<=> v3_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( sQ60_spl
| ~ v3_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,definition,
( sQ61_spl
<=> v1_lattice3(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1025,definition,
( sQ62_spl
<=> l1_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ62_spl
| l1_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( sQ62_spl
| ~ l1_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ63_spl
<=> v24_waybel_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1031,definition,
( sQ64_spl
<=> v2_lattice3(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1034,definition,
( sQ65_spl
<=> v1_yellow_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1037,definition,
( sQ66_spl
<=> v2_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( sQ66_spl
| ~ v2_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1041,plain,
( sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f574]) ).
fof(f1042,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
( sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f573]) ).
fof(f1044,plain,
sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1049,definition,
( sQ67_spl
<=> v1_yellow_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1054,definition,
( sQ68_spl
<=> v12_altcat_1(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ68_spl
| ~ v12_altcat_1(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ69_spl
<=> v3_struct_0(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ69_spl
| v3_struct_0(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ70_spl
<=> v11_altcat_1(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1066,definition,
( sQ72_spl
<=> v2_altcat_1(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ72_spl
| v2_altcat_1(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ72_spl
| ~ v2_altcat_1(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,definition,
( sQ73_spl
<=> v2_yellow21(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ73_spl
| v2_yellow21(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( sQ73_spl
| ~ v2_yellow21(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,definition,
( sQ74_spl
<=> l2_altcat_1(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ74_spl
| l2_altcat_1(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1074,plain,
( sQ74_spl
| ~ l2_altcat_1(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1077,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f912,f554]) ).
fof(f1078,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1077]) ).
fof(f1091,definition,
( sQ75_spl
<=> v2_yellow_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1096,definition,
( sQ76_spl
<=> v2_yellow_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f749]) ).
fof(f1115,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f552,f906]) ).
fof(f1118,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1121,definition,
( sQ77_spl
<=> v3_struct_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ77_spl
| v3_struct_0(sK20_skl) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ78_spl
<=> v25_waybel_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ78_spl
| v25_waybel_0(sK20_skl) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ79_spl
<=> v4_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( sQ79_spl
| ~ v4_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,definition,
( sQ80_spl
<=> v3_lattice3(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( sQ80_spl
| ~ v3_lattice3(sK20_skl) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1135,plain,
( sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f575]) ).
fof(f1136,plain,
sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1135]) ).
fof(f1137,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f571]) ).
fof(f1138,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1137]) ).
fof(f1143,plain,
( sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f1027]) ).
fof(f1144,plain,
sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1155,definition,
( sQ81_spl
<=> v9_altcat_1(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1158,definition,
( sQ82_spl
<=> l2_altcat_1(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( sQ82_spl
| ~ l2_altcat_1(sK23_skl) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ83_spl
<=> v3_struct_0(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ83_spl
| v3_struct_0(sK23_skl) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ84_spl
<=> v2_altcat_1(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ84_spl
| ~ v2_altcat_1(sK23_skl) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,definition,
( sQ85_spl
<=> v11_altcat_1(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( sQ85_spl
| ~ v11_altcat_1(sK23_skl) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,definition,
( sQ86_spl
<=> v2_yellow21(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1174,definition,
( sQ87_spl
<=> v12_altcat_1(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( sQ87_spl
| ~ v12_altcat_1(sK23_skl) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1180,plain,
( sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f599]) ).
fof(f1181,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f595]) ).
fof(f1183,plain,
sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f598]) ).
fof(f1185,plain,
sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1189,plain,
( ~ sQ62_spl
| v25_waybel_0(sK20_skl)
| v3_struct_0(sK20_skl)
| ~ v2_orders_2(sK20_skl)
| ~ v3_lattice3(sK20_skl) ),
inference(resolution,[status(thm)],[f1026,f166]) ).
fof(f1191,plain,
( ~ sQ62_spl
| sQ78_spl
| sQ77_spl
| ~ sQ66_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1189,f1130,f1037,f1121,f1124,f1025]) ).
fof(f1201,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f903]) ).
fof(f1202,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1227,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f556]) ).
fof(f1228,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ78_spl
| v3_struct_0(sK20_skl)
| ~ v2_orders_2(sK20_skl)
| ~ v4_orders_2(sK20_skl)
| ~ l1_orders_2(sK20_skl)
| v2_lattice3(sK20_skl) ),
inference(resolution,[status(thm)],[f212,f1125]) ).
fof(f1230,plain,
( ~ sQ13_spl
| v3_struct_0(sK27_skl)
| ~ v2_orders_2(sK27_skl)
| ~ v4_orders_2(sK27_skl)
| ~ l1_orders_2(sK27_skl)
| v2_lattice3(sK27_skl) ),
inference(resolution,[status(thm)],[f212,f773]) ).
fof(f1232,plain,
( ~ sQ78_spl
| sQ77_spl
| ~ sQ66_spl
| ~ sQ79_spl
| ~ sQ62_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1229,f1031,f1025,f1127,f1037,f1121,f1124]) ).
fof(f1234,plain,
( ~ sQ13_spl
| sQ12_spl
| ~ sQ11_spl
| ~ sQ27_spl
| ~ sQ29_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1230,f946,f830,f823,f766,f769,f772]) ).
fof(f1238,definition,
( sQ89_spl
<=> v1_xboole_0(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( sQ89_spl
| ~ v1_xboole_0(sK24_skl) ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,definition,
( sQ90_spl
<=> v2_funct_1(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1244,definition,
( sQ91_spl
<=> v1_relat_1(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ91_spl
| ~ v1_relat_1(sK24_skl) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1248,plain,
( sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f609]) ).
fof(f1249,plain,
sQ89_spl,
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1250,plain,
! [X0] :
( v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_yellow18(k9_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f442,f183]) ).
fof(f1251,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_yellow21(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f442,f186]) ).
fof(f1252,plain,
! [X0] :
( v12_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f442,f179]) ).
fof(f1253,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f442,f180]) ).
fof(f1254,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f442,f187]) ).
fof(f1255,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f441]) ).
fof(f1256,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1250,f515]) ).
fof(f1257,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f515]) ).
fof(f1258,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| v12_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f515]) ).
fof(f1259,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_yellow21(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f515]) ).
fof(f1263,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f754]) ).
fof(f1264,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1265,plain,
( ~ sQ42_spl
| v24_waybel_0(sK17_skl)
| ~ v2_orders_2(sK17_skl)
| v3_struct_0(sK17_skl)
| ~ v3_lattice3(sK17_skl) ),
inference(resolution,[status(thm)],[f165,f902]) ).
fof(f1266,plain,
( ~ sQ62_spl
| v24_waybel_0(sK20_skl)
| ~ v2_orders_2(sK20_skl)
| v3_struct_0(sK20_skl)
| ~ v3_lattice3(sK20_skl) ),
inference(resolution,[status(thm)],[f165,f1026]) ).
fof(f1268,plain,
( v24_waybel_0(sK27_skl)
| ~ v2_orders_2(sK27_skl)
| v3_struct_0(sK27_skl)
| ~ v3_lattice3(sK27_skl) ),
inference(resolution,[status(thm)],[f165,f624]) ).
fof(f1269,plain,
( v24_waybel_0(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| v3_struct_0(sK25_skl)
| ~ v3_lattice3(sK25_skl) ),
inference(resolution,[status(thm)],[f165,f612]) ).
fof(f1270,plain,
( ~ sQ42_spl
| sQ47_spl
| ~ sQ43_spl
| sQ40_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1265,f913,f895,f904,f916,f901]) ).
fof(f1271,plain,
( ~ sQ62_spl
| sQ63_spl
| ~ sQ66_spl
| sQ77_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1266,f1130,f1121,f1037,f1028,f1025]) ).
fof(f1272,plain,
( sQ32_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1269,f747,f753,f750,f840]) ).
fof(f1273,plain,
( sQ25_spl
| ~ sQ11_spl
| sQ12_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1268,f763,f769,f766,f817]) ).
fof(f1275,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f631]) ).
fof(f1276,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f557]) ).
fof(f1278,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( ~ sQ42_spl
| ~ v3_lattice3(sK17_skl)
| v1_lattice3(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f271,f902]) ).
fof(f1280,plain,
( ~ sQ62_spl
| ~ v3_lattice3(sK20_skl)
| v1_lattice3(sK20_skl)
| v3_struct_0(sK20_skl) ),
inference(resolution,[status(thm)],[f271,f1026]) ).
fof(f1286,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| sQ57_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1279,f895,f1004,f913,f901]) ).
fof(f1288,plain,
( ~ sQ62_spl
| ~ sQ80_spl
| sQ61_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1280,f1121,f1022,f1130,f1025]) ).
fof(f1289,plain,
( sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f576]) ).
fof(f1290,plain,
sQ80_spl,
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1293,plain,
( ~ sQ9_spl
| v3_struct_0(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| ~ v4_orders_2(sK25_skl)
| ~ l1_orders_2(sK25_skl)
| v2_lattice3(sK25_skl) ),
inference(resolution,[status(thm)],[f757,f212]) ).
fof(f1294,plain,
( ~ sQ9_spl
| sQ8_spl
| ~ sQ7_spl
| ~ sQ34_spl
| ~ sQ49_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1293,f939,f936,f846,f750,f753,f756]) ).
fof(f1374,definition,
( sQ103_spl
<=> v2_yellow18(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
( v3_struct_0(sK23_skl)
| ~ v2_altcat_1(sK23_skl)
| ~ l2_altcat_1(sK23_skl)
| ~ v11_altcat_1(sK23_skl)
| v2_yellow18(sK23_skl)
| ~ v12_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f605,f314]) ).
fof(f1379,plain,
( ~ v11_altcat_1(sK23_skl)
| ~ v2_altcat_1(sK23_skl)
| v3_struct_0(sK23_skl)
| ~ v12_altcat_1(sK23_skl)
| ~ l2_altcat_1(sK23_skl)
| v9_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f605,f310]) ).
fof(f1380,plain,
( sQ83_spl
| ~ sQ84_spl
| ~ sQ82_spl
| ~ sQ85_spl
| sQ103_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1378,f1174,f1374,f1167,f1158,f1164,f1161]) ).
fof(f1381,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| sQ83_spl
| ~ sQ87_spl
| ~ sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1379,f1155,f1158,f1174,f1161,f1164,f1167]) ).
fof(f1400,plain,
( ~ v24_waybel_0(sK20_skl)
| ~ l1_orders_2(sK20_skl)
| ~ v1_lattice3(sK20_skl)
| ~ v1_yellow_0(sK20_skl)
| v3_yellow_0(sK20_skl)
| ~ v2_orders_2(sK20_skl)
| ~ v3_orders_2(sK20_skl) ),
inference(resolution,[status(thm)],[f950,f575]) ).
fof(f1405,plain,
( ~ v24_waybel_0(sK25_skl)
| ~ l1_orders_2(sK25_skl)
| ~ v1_yellow_0(sK25_skl)
| v3_yellow_0(sK25_skl)
| ~ v4_orders_2(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| ~ v3_orders_2(sK25_skl) ),
inference(resolution,[status(thm)],[f950,f618]) ).
fof(f1416,definition,
( sQ104_spl
<=> v3_yellow_0(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| ~ sQ61_spl
| ~ sQ65_spl
| sQ104_spl
| ~ sQ66_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1400,f1019,f1037,f1416,f1034,f1022,f1025,f1028]) ).
fof(f1424,definition,
( sQ105_spl
<=> v3_yellow_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( sQ105_spl
| ~ v3_yellow_0(sK17_skl) ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1428,plain,
( ~ sQ32_spl
| ~ sQ49_spl
| ~ sQ33_spl
| sQ35_spl
| ~ sQ34_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1405,f834,f750,f846,f849,f843,f936,f840]) ).
fof(f1461,definition,
( sQ107_spl
<=> l1_orders_2(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( sQ107_spl
| ~ l1_orders_2(sK8_skl) ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1465,plain,
( sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1463,f468]) ).
fof(f1466,plain,
sQ107_spl,
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1479,plain,
( sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f560]) ).
fof(f1480,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1481,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f616]) ).
fof(f1482,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f1487,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f617]) ).
fof(f1488,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1495,plain,
( ~ v11_altcat_1(sK23_skl)
| ~ v2_altcat_1(sK23_skl)
| v3_struct_0(sK23_skl)
| ~ v12_altcat_1(sK23_skl)
| v1_yellow21(sK23_skl)
| ~ l2_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f317,f605]) ).
fof(f1504,definition,
( sQ108_spl
<=> v1_yellow21(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| sQ83_spl
| ~ sQ87_spl
| sQ108_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1495,f1158,f1504,f1174,f1161,f1164,f1167]) ).
fof(f1521,definition,
( sQ109_spl
<=> v1_altcat_2(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1524,definition,
( sQ110_spl
<=> v3_yellow21(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( sQ110_spl
| ~ v3_yellow21(sK23_skl) ),
inference(component_clause,[status(thm)],[f1524]) ).
fof(f1542,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(resolution,[status(thm)],[f695,f698]) ).
fof(f1558,definition,
( sQ113_spl
<=> v1_relat_1(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( sQ113_spl
| ~ v1_relat_1(sK29_skl) ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1564,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_yellow21(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v4_yellow18(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f184,f442]) ).
fof(f1565,plain,
! [X0] :
( v4_yellow18(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f439]) ).
fof(f1601,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f438]) ).
fof(f1613,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f514]) ).
fof(f1620,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v3_yellow21(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1257,f514]) ).
fof(f1650,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v12_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f439]) ).
fof(f1654,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v2_yellow21(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v3_yellow21(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f439]) ).
fof(f1658,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f828]) ).
fof(f1659,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1669,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v1_yellow21(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v1_yellow21(k5_waybel34(X0)) ),
inference(resolution,[status(thm)],[f358,f442]) ).
fof(f1670,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v1_yellow21(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v1_yellow21(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f441]) ).
fof(f1671,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| v2_funct_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f297,f248]) ).
fof(f1678,plain,
( v3_struct_0(sK23_skl)
| ~ v2_altcat_1(sK23_skl)
| ~ v11_altcat_1(sK23_skl)
| ~ v12_altcat_1(sK23_skl)
| v4_yellow18(sK23_skl)
| ~ l2_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f316,f605]) ).
fof(f1683,definition,
( sQ117_spl
<=> v4_yellow18(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1690,plain,
( sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ87_spl
| sQ117_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1678,f1158,f1683,f1174,f1167,f1164,f1161]) ).
fof(f1707,plain,
( ~ sQ62_spl
| ~ v3_yellow_0(sK20_skl)
| v2_yellow_0(sK20_skl) ),
inference(resolution,[status(thm)],[f327,f1026]) ).
fof(f1710,plain,
( ~ v3_yellow_0(sK25_skl)
| v2_yellow_0(sK25_skl) ),
inference(resolution,[status(thm)],[f327,f612]) ).
fof(f1711,plain,
( ~ sQ35_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1710,f992,f849]) ).
fof(f1716,plain,
( ~ sQ62_spl
| ~ sQ104_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1707,f1091,f1416,f1025]) ).
fof(f1751,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| l2_altcat_1(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f450,f442]) ).
fof(f1804,plain,
( ~ v24_waybel_0(sK27_skl)
| v2_yellow_0(sK27_skl)
| ~ l1_orders_2(sK27_skl)
| ~ v2_orders_2(sK27_skl) ),
inference(resolution,[status(thm)],[f363,f629]) ).
fof(f1813,plain,
( ~ sQ25_spl
| sQ76_spl
| ~ sQ29_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1804,f766,f830,f1096,f817]) ).
fof(f1944,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f450]) ).
fof(f1945,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ~ l2_altcat_1(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_altcat_2(X0,X1) ),
inference(resolution,[status(thm)],[f1944,f1542]) ).
fof(f1964,definition,
( sQ120_spl
<=> l2_altcat_1(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
( ~ sQ120_spl
| l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1966,plain,
( sQ120_spl
| ~ l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1967,definition,
( sQ121_spl
<=> v2_setfam_1(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( ~ sQ121_spl
| v2_setfam_1(sK0_skl) ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1971,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f143]) ).
fof(f1972,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1978,plain,
( ~ v2_altcat_1(sK23_skl)
| ~ v12_altcat_1(sK23_skl)
| v3_yellow18(sK23_skl)
| v3_struct_0(sK23_skl)
| ~ l2_altcat_1(sK23_skl)
| ~ v11_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f315,f605]) ).
fof(f1979,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow18(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0)) ),
inference(resolution,[status(thm)],[f315,f525]) ).
fof(f1980,definition,
( sQ122_spl
<=> v3_yellow18(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( ~ sQ84_spl
| ~ sQ87_spl
| sQ122_spl
| sQ83_spl
| ~ sQ82_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f1978,f1167,f1158,f1161,f1980,f1174,f1164]) ).
fof(f1984,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow18(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f518]) ).
fof(f1999,plain,
( ~ v2_yellow_0(sK25_skl)
| ~ v25_waybel_0(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| v1_lattice3(sK25_skl)
| ~ v4_orders_2(sK25_skl)
| v3_struct_0(sK25_skl) ),
inference(resolution,[status(thm)],[f223,f612]) ).
fof(f2020,plain,
( ~ sQ55_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sQ31_spl
| ~ sQ34_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1999,f753,f846,f837,f750,f756,f992]) ).
fof(f2046,plain,
( ~ sQ59_spl
| ~ l1_struct_0(k9_waybel34(sK0_skl))
| v3_struct_0(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1015,f499]) ).
fof(f2078,plain,
( ~ sQ3_spl
| ~ v1_xboole_0(sK0_skl) ),
inference(resolution,[status(thm)],[f733,f706]) ).
fof(f2182,plain,
( v2_yellow21(sK23_skl)
| ~ v3_yellow21(sK23_skl)
| ~ v12_altcat_1(sK23_skl)
| v3_struct_0(sK23_skl)
| ~ v2_altcat_1(sK23_skl)
| ~ l2_altcat_1(sK23_skl) ),
inference(resolution,[status(thm)],[f268,f598]) ).
fof(f2185,plain,
( sQ86_spl
| ~ sQ110_spl
| ~ sQ87_spl
| sQ83_spl
| ~ sQ84_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2182,f1158,f1164,f1161,f1174,f1524,f1170]) ).
fof(f2258,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_yellow21(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v4_yellow18(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f515]) ).
fof(f2283,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v4_yellow18(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2258,f526]) ).
fof(f2284,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v2_yellow21(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1654,f526]) ).
fof(f2285,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v12_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1650,f526]) ).
fof(f2286,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1620,f526]) ).
fof(f2287,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1613,f526]) ).
fof(f2288,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1601,f526]) ).
fof(f2289,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2288,f439]) ).
fof(f2290,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v3_yellow18(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2287,f441]) ).
fof(f2291,plain,
! [X0] :
( v4_yellow18(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f518]) ).
fof(f2292,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_yellow21(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2284,f514]) ).
fof(f2293,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v12_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2285,f514]) ).
fof(f2294,plain,
! [X0] :
( ~ v2_altcat_1(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2286,f441]) ).
fof(f2310,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v9_altcat_1(k5_waybel34(X0))
| v11_altcat_1(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f350,f442]) ).
fof(f2312,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v9_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v11_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2310,f439]) ).
fof(f2313,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| ~ v1_yellow21(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v1_yellow21(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1670,f515]) ).
fof(f2325,plain,
( sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f1560]) ).
fof(f2326,plain,
sQ113_spl,
inference(contradiction_clause,[status(thm)],[f2325]) ).
fof(f2425,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow18(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f515]) ).
fof(f2426,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_yellow18(k5_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2425,f519]) ).
fof(f2428,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_yellow18(k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2426]) ).
fof(f2429,plain,
! [X0] :
( v3_yellow18(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2428,f514]) ).
fof(f2431,plain,
( sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f1526]) ).
fof(f2432,plain,
sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2431]) ).
fof(f2474,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f593]) ).
fof(f2475,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2476,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f594]) ).
fof(f2477,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f2476]) ).
fof(f2597,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v1_yellow21(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_struct_0(k9_waybel34(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2313,f524]) ).
fof(f2598,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| v1_yellow21(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2597,f438]) ).
fof(f2693,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2289,f514]) ).
fof(f2694,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2693,f515]) ).
fof(f2696,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2694]) ).
fof(f2697,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v1_altcat_2(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2696,f518]) ).
fof(f2700,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v1_altcat_2(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2697,f519]) ).
fof(f2701,plain,
! [X0] :
( v3_yellow18(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f439]) ).
fof(f2702,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2701,f519]) ).
fof(f2703,plain,
! [X0] :
( v3_yellow18(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2702]) ).
fof(f2704,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f518]) ).
fof(f2751,plain,
! [X0] :
( v4_yellow18(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f438]) ).
fof(f2752,plain,
! [X0] :
( v2_setfam_1(X0)
| v4_yellow18(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2751,f441]) ).
fof(f2753,plain,
! [X0] :
( v4_yellow18(k9_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2752]) ).
fof(f2754,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v4_yellow18(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2753,f514]) ).
fof(f2775,plain,
! [X0] :
( v2_yellow21(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2292,f518]) ).
fof(f2776,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_yellow21(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2775,f441]) ).
fof(f2777,plain,
! [X0] :
( v2_yellow21(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2776]) ).
fof(f2778,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2777,f438]) ).
fof(f2779,plain,
! [X0] :
( ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v12_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2293,f519]) ).
fof(f2780,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v12_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2779,f441]) ).
fof(f2781,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v12_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2780]) ).
fof(f2782,plain,
! [X0] :
( ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v12_altcat_1(k9_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2781,f438]) ).
fof(f2783,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow18(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2704,f438]) ).
fof(f2784,plain,
! [X0] :
( v4_yellow18(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2754,f519]) ).
fof(f2785,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2294,f518]) ).
fof(f2786,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(resolution,[status(thm)],[f2785,f439]) ).
fof(f2787,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v3_yellow21(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2786]) ).
fof(f2788,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow21(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2787,f438]) ).
fof(f2954,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v9_altcat_1(k5_waybel34(X0))
| v11_altcat_1(k9_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f438]) ).
fof(f3098,plain,
! [X0] :
( v2_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f519]) ).
fof(f3105,plain,
! [X0] :
( v12_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2782,f518]) ).
fof(f3106,plain,
! [X0] :
( ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0)
| v3_yellow21(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2788,f519]) ).
fof(f3432,plain,
! [X0,X1] :
( ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v6_altcat_1(k9_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1))) ),
inference(equality_resolution,[status(thm)],[f388]) ).
fof(f3433,plain,
! [X0,X1] :
( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v6_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3432,f439]) ).
fof(f3434,plain,
! [X0] :
( v1_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0)
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2598,f519]) ).
fof(f3582,plain,
( v1_altcat_2(sK23_skl)
| ~ l2_altcat_1(sK23_skl)
| v3_struct_0(sK23_skl) ),
inference(resolution,[status(thm)],[f300,f599]) ).
fof(f3584,plain,
( sQ109_spl
| ~ sQ82_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f3582,f1161,f1158,f1521]) ).
fof(f3758,plain,
( sQ120_spl
| v1_xboole_0(sK0_skl) ),
inference(resolution,[status(thm)],[f431,f1966]) ).
fof(f3760,plain,
! [X0] :
( v12_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f431,f3105]) ).
fof(f3761,plain,
! [X0] :
( v2_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f431,f3098]) ).
fof(f3766,plain,
! [X0] :
( v2_setfam_1(X0)
| l2_altcat_1(k9_waybel34(X0))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f431,f1751]) ).
fof(f3768,plain,
! [X0] :
( l2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3766,f306]) ).
fof(f3771,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1246,f608]) ).
fof(f3772,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f3771]) ).
fof(f3776,plain,
! [X0] :
( v2_yellow21(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3761,f306]) ).
fof(f3778,plain,
! [X0] :
( v12_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3760,f306]) ).
fof(f3852,plain,
( ~ sQ120_spl
| v2_setfam_1(sK0_skl)
| v3_yellow21(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1965,f3106]) ).
fof(f3853,plain,
( ~ sQ120_spl
| v4_yellow18(k9_waybel34(sK0_skl))
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1965,f2784]) ).
fof(f3854,plain,
( ~ sQ120_spl
| v2_setfam_1(sK0_skl)
| v3_yellow18(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1965,f2783]) ).
fof(f3855,plain,
( ~ sQ120_spl
| v1_altcat_2(k9_waybel34(sK0_skl))
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1965,f2700]) ).
fof(f3856,plain,
( ~ sQ120_spl
| v3_yellow18(k5_waybel34(sK0_skl))
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1965,f2429]) ).
fof(f3858,definition,
( sQ134_spl
<=> v4_yellow18(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f3861,plain,
( ~ sQ120_spl
| sQ134_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3853,f1967,f3858,f1964]) ).
fof(f3862,definition,
( sQ135_spl
<=> v3_yellow18(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f3865,plain,
( ~ sQ120_spl
| sQ135_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3856,f1967,f3862,f1964]) ).
fof(f3866,definition,
( sQ136_spl
<=> v3_yellow21(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f3869,plain,
( ~ sQ120_spl
| sQ121_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f3852,f3866,f1967,f1964]) ).
fof(f3870,definition,
( sQ137_spl
<=> v3_yellow18(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f3873,plain,
( ~ sQ120_spl
| sQ121_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3854,f3870,f1967,f1964]) ).
fof(f3874,definition,
( sQ138_spl
<=> v1_altcat_2(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f3877,plain,
( ~ sQ120_spl
| sQ138_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3855,f1967,f3874,f1964]) ).
fof(f3952,plain,
( sQ120_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f3758,f306]) ).
fof(f3953,plain,
( sQ120_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3952,f1967,f1964]) ).
fof(f3989,plain,
( sQ73_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1071,f3776]) ).
fof(f3990,plain,
( sQ73_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3989,f1967,f1069]) ).
fof(f3991,plain,
( sQ68_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1056,f3778]) ).
fof(f3992,plain,
( sQ68_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3991,f1967,f1054]) ).
fof(f3996,plain,
( ~ sQ73_spl
| v3_struct_0(k9_waybel34(sK0_skl))
| ~ v2_altcat_1(k9_waybel34(sK0_skl))
| ~ l2_altcat_1(k9_waybel34(sK0_skl))
| ~ v11_altcat_1(k9_waybel34(sK0_skl))
| v2_yellow18(k9_waybel34(sK0_skl))
| ~ v12_altcat_1(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1070,f314]) ).
fof(f3997,plain,
( ~ sQ73_spl
| ~ v11_altcat_1(k9_waybel34(sK0_skl))
| ~ v2_altcat_1(k9_waybel34(sK0_skl))
| v3_struct_0(k9_waybel34(sK0_skl))
| ~ v12_altcat_1(k9_waybel34(sK0_skl))
| ~ l2_altcat_1(k9_waybel34(sK0_skl))
| v9_altcat_1(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1070,f310]) ).
fof(f4000,definition,
( sQ148_spl
<=> v9_altcat_1(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f4003,plain,
( ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ72_spl
| sQ69_spl
| ~ sQ68_spl
| ~ sQ74_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3997,f4000,f1072,f1054,f1057,f1066,f1060,f1069]) ).
fof(f4004,definition,
( sQ149_spl
<=> v2_yellow18(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f4007,plain,
( ~ sQ73_spl
| sQ69_spl
| ~ sQ72_spl
| ~ sQ74_spl
| ~ sQ70_spl
| sQ149_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3996,f1054,f4004,f1060,f1072,f1066,f1057,f1069]) ).
fof(f4008,definition,
( sQ150_spl
<=> v1_yellow21(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f4085,plain,
( ~ sQ69_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1058,f438]) ).
fof(f4095,plain,
( ~ sQ69_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4085,f1967,f1057]) ).
fof(f4156,plain,
( sQ74_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1074,f3768]) ).
fof(f4157,plain,
( sQ74_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4156,f1967,f1072]) ).
fof(f4159,plain,
( ~ sQ78_spl
| ~ l1_orders_2(sK20_skl)
| ~ v2_orders_2(sK20_skl)
| v1_yellow_0(sK20_skl)
| v3_struct_0(sK20_skl) ),
inference(resolution,[status(thm)],[f173,f1125]) ).
fof(f4162,plain,
( ~ l1_orders_2(sK17_skl)
| ~ v2_orders_2(sK17_skl)
| v1_yellow_0(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f173,f562]) ).
fof(f4170,plain,
( ~ v25_waybel_0(sK27_skl)
| ~ v2_orders_2(sK27_skl)
| v1_yellow_0(sK27_skl)
| v3_struct_0(sK27_skl) ),
inference(resolution,[status(thm)],[f173,f624]) ).
fof(f4171,plain,
( ~ v25_waybel_0(sK25_skl)
| ~ v2_orders_2(sK25_skl)
| v1_yellow_0(sK25_skl)
| v3_struct_0(sK25_skl) ),
inference(resolution,[status(thm)],[f173,f612]) ).
fof(f4173,plain,
( ~ sQ78_spl
| ~ sQ62_spl
| ~ sQ66_spl
| sQ65_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f4159,f1121,f1034,f1037,f1025,f1124]) ).
fof(f4176,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| sQ26_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f4170,f769,f820,f766,f772]) ).
fof(f4177,plain,
( ~ sQ42_spl
| ~ sQ43_spl
| sQ67_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f4162,f895,f1049,f904,f901]) ).
fof(f4181,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4171,f753,f843,f750,f756]) ).
fof(f4263,plain,
( ~ sQ74_spl
| l1_altcat_1(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1073,f448]) ).
fof(f4269,plain,
( sQ72_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f1068,f439]) ).
fof(f4270,plain,
( sQ72_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4269,f1967,f1066]) ).
fof(f4272,plain,
( ~ sQ72_spl
| v1_yellow21(k9_waybel34(sK0_skl))
| v2_setfam_1(sK0_skl)
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f1067,f3434]) ).
fof(f4280,definition,
( sQ154_spl
<=> v11_altcat_1(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f4282,plain,
( sQ154_spl
| ~ v11_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4280]) ).
fof(f4283,definition,
( sQ155_spl
<=> v3_struct_0(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f4284,plain,
( ~ sQ155_spl
| v3_struct_0(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4283]) ).
fof(f4286,plain,
( ~ sQ72_spl
| sQ150_spl
| sQ121_spl
| sQ155_spl
| ~ sQ154_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4272,f1964,f4280,f4283,f1967,f4008,f1066]) ).
fof(f4289,definition,
( sQ156_spl
<=> v12_altcat_1(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f4290,plain,
( ~ sQ156_spl
| v12_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4289]) ).
fof(f4291,plain,
( sQ156_spl
| ~ v12_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4289]) ).
fof(f4295,definition,
( sQ158_spl
<=> v2_altcat_1(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f4296,plain,
( ~ sQ158_spl
| v2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4295]) ).
fof(f4297,plain,
( sQ158_spl
| ~ v2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4295]) ).
fof(f4306,plain,
! [X0] :
( ~ sQ58_spl
| ~ m1_altcat_2(k9_waybel34(sK0_skl),X0)
| m1_subset_1(sK1_skl,u1_struct_0(X0))
| ~ l2_altcat_1(X0) ),
inference(resolution,[status(thm)],[f1012,f1945]) ).
fof(f4425,plain,
( ~ sQ74_spl
| l1_struct_0(k9_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4263,f444]) ).
fof(f4441,plain,
( ~ sQ155_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4284,f514]) ).
fof(f4451,plain,
( ~ sQ155_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4441,f1967,f4283]) ).
fof(f4459,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1)
| ~ v6_altcat_1(k9_waybel34(X1))
| v3_struct_0(k9_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f3433,f441]) ).
fof(f4658,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1)
| v3_struct_0(k9_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[f4459,f440]) ).
fof(f4660,plain,
! [X0,X1] :
( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
| v2_setfam_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| v3_struct_0(k9_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4658,f442]) ).
fof(f4742,plain,
( ~ sQ58_spl
| v2_setfam_1(sK0_skl)
| m1_subset_1(sK1_skl,u1_struct_0(k5_waybel34(sK0_skl)))
| ~ l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4306,f442]) ).
fof(f4743,definition,
( sQ163_spl
<=> m1_subset_1(sK1_skl,u1_struct_0(k5_waybel34(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f4744,plain,
( ~ sQ163_spl
| m1_subset_1(sK1_skl,u1_struct_0(k5_waybel34(sK0_skl))) ),
inference(component_clause,[status(thm)],[f4743]) ).
fof(f4745,plain,
( sQ163_spl
| ~ m1_subset_1(sK1_skl,u1_struct_0(k5_waybel34(sK0_skl))) ),
inference(component_clause,[status(thm)],[f4743]) ).
fof(f4746,plain,
( ~ sQ58_spl
| sQ121_spl
| sQ163_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4742,f1964,f4743,f1967,f1011]) ).
fof(f4761,plain,
( ~ sQ163_spl
| ~ v2_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| v2_setfam_1(sK0_skl)
| ~ v3_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f4744,f685]) ).
fof(f4762,plain,
( ~ sQ163_spl
| ~ v4_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| v2_setfam_1(sK0_skl)
| v1_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f4744,f684]) ).
fof(f4763,plain,
( ~ sQ163_spl
| ~ v2_orders_2(sK1_skl)
| v2_setfam_1(sK0_skl)
| ~ l1_orders_2(sK1_skl)
| r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v4_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f4744,f686]) ).
fof(f4795,definition,
( sQ166_spl
<=> v2_yellow21(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f4796,plain,
( ~ sQ166_spl
| v2_yellow21(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4795]) ).
fof(f4797,plain,
( sQ166_spl
| ~ v2_yellow21(k5_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f4795]) ).
fof(f4811,plain,
( ~ sQ163_spl
| ~ sQ48_spl
| ~ sQ20_spl
| ~ sQ15_spl
| sQ2_spl
| ~ sQ22_spl
| sQ121_spl
| ~ sQ14_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f4761,f788,f782,f1967,f807,f728,f785,f800,f929,f4743]) ).
fof(f4819,plain,
( ~ sQ163_spl
| ~ sQ20_spl
| ~ sQ48_spl
| ~ sQ22_spl
| sQ121_spl
| sQ1_spl
| ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4762,f785,f788,f782,f724,f1967,f807,f929,f800,f4743]) ).
fof(f4845,plain,
( ~ sQ163_spl
| ~ sQ15_spl
| sQ121_spl
| ~ sQ16_spl
| sQ3_spl
| ~ sQ22_spl
| ~ sQ48_spl
| ~ sQ14_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4763,f800,f782,f929,f807,f732,f788,f1967,f785,f4743]) ).
fof(f4863,plain,
( ~ v1_xboole_0(sK24_skl)
| v2_funct_1(sK24_skl) ),
inference(resolution,[status(thm)],[f1671,f608]) ).
fof(f4873,plain,
( ~ sQ89_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f4863,f1241,f1238]) ).
fof(f5021,plain,
( sQ166_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4797,f525]) ).
fof(f5022,plain,
( sQ166_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f5021,f1967,f4795]) ).
fof(f5026,plain,
( sQ154_spl
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4282,f518]) ).
fof(f5029,definition,
( sQ180_spl
<=> l1_struct_0(k9_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f5031,plain,
( sQ180_spl
| ~ l1_struct_0(k9_waybel34(sK0_skl)) ),
inference(component_clause,[status(thm)],[f5029]) ).
fof(f5032,plain,
( ~ sQ59_spl
| ~ sQ180_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2046,f1057,f5029,f1014]) ).
fof(f5033,plain,
( sQ154_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f5026,f1967,f4280]) ).
fof(f5034,plain,
( sQ180_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5031,f4425]) ).
fof(f5035,plain,
( sQ180_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f5034]) ).
fof(f5171,plain,
( sQ158_spl
| v1_xboole_0(sK0_skl) ),
inference(resolution,[status(thm)],[f4297,f426]) ).
fof(f5173,plain,
( sQ158_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5171,f2078]) ).
fof(f5174,plain,
( sQ158_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5173]) ).
fof(f5213,plain,
( ~ sQ166_spl
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v2_altcat_1(k5_waybel34(sK0_skl))
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| ~ v12_altcat_1(k5_waybel34(sK0_skl))
| v4_yellow18(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4796,f316]) ).
fof(f5214,plain,
( ~ sQ166_spl
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| ~ v2_altcat_1(k5_waybel34(sK0_skl))
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v12_altcat_1(k5_waybel34(sK0_skl))
| v1_yellow21(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4796,f317]) ).
fof(f5215,plain,
( ~ sQ166_spl
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v2_altcat_1(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl))
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| v2_yellow18(k5_waybel34(sK0_skl))
| ~ v12_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4796,f314]) ).
fof(f5216,plain,
( ~ sQ166_spl
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| ~ v2_altcat_1(k5_waybel34(sK0_skl))
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v12_altcat_1(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl))
| v9_altcat_1(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4796,f310]) ).
fof(f5217,definition,
( sQ181_spl
<=> v2_yellow18(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f5220,plain,
( ~ sQ166_spl
| sQ155_spl
| ~ sQ158_spl
| ~ sQ120_spl
| ~ sQ154_spl
| sQ181_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f5215,f4289,f5217,f4280,f1964,f4295,f4283,f4795]) ).
fof(f5222,definition,
( sQ182_spl
<=> v9_altcat_1(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f5225,plain,
( ~ sQ166_spl
| ~ sQ154_spl
| ~ sQ158_spl
| sQ155_spl
| ~ sQ156_spl
| ~ sQ120_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5216,f5222,f1964,f4289,f4283,f4295,f4280,f4795]) ).
fof(f5226,definition,
( sQ183_spl
<=> v1_yellow21(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f5229,plain,
( ~ sQ166_spl
| ~ sQ154_spl
| ~ sQ158_spl
| sQ155_spl
| ~ sQ156_spl
| sQ183_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5214,f1964,f5226,f4289,f4283,f4295,f4280,f4795]) ).
fof(f5230,definition,
( sQ184_spl
<=> v4_yellow18(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f5233,plain,
( ~ sQ166_spl
| sQ155_spl
| ~ sQ158_spl
| ~ sQ154_spl
| ~ sQ156_spl
| sQ184_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5213,f1964,f5230,f4289,f4280,f4295,f4283,f4795]) ).
fof(f5286,plain,
( sQ156_spl
| v1_xboole_0(sK0_skl) ),
inference(resolution,[status(thm)],[f4291,f429]) ).
fof(f5288,plain,
( sQ156_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5286,f2078]) ).
fof(f5289,plain,
( sQ156_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5288]) ).
fof(f5292,plain,
( ~ sQ158_spl
| v3_struct_0(k5_waybel34(sK0_skl))
| ~ v12_altcat_1(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl))
| ~ v9_altcat_1(k5_waybel34(sK0_skl))
| v11_altcat_1(k9_waybel34(sK0_skl))
| ~ v11_altcat_1(k5_waybel34(sK0_skl))
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4296,f2954]) ).
fof(f5305,plain,
( ~ sQ158_spl
| sQ155_spl
| ~ sQ156_spl
| ~ sQ120_spl
| ~ sQ182_spl
| sQ70_spl
| ~ sQ154_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f5292,f1967,f4280,f1060,f5222,f1964,f4289,f4283,f4295]) ).
fof(f5316,plain,
( sQ163_spl
| ~ v4_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ r2_hidden(u1_struct_0(sK1_skl),sK0_skl)
| ~ v2_lattice3(sK1_skl)
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f4745,f687]) ).
fof(f5317,plain,
( sQ163_spl
| ~ sQ20_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ48_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f5316,f1967,f929,f732,f728,f724,f788,f807,f782,f785,f800,f4743]) ).
fof(f5323,plain,
( ~ sQ156_spl
| v1_altcat_2(k5_waybel34(sK0_skl))
| ~ l2_altcat_1(k5_waybel34(sK0_skl))
| v3_struct_0(k5_waybel34(sK0_skl)) ),
inference(resolution,[status(thm)],[f4290,f300]) ).
fof(f5333,definition,
( sQ185_spl
<=> v1_altcat_2(k5_waybel34(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f5336,plain,
( ~ sQ156_spl
| sQ185_spl
| ~ sQ120_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f5323,f4283,f1964,f5333,f4289]) ).
fof(f6777,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4660,f438]) ).
fof(f6778,plain,
( ~ sQ163_spl
| m1_subset_1(sK1_skl,u1_struct_0(k9_waybel34(sK0_skl)))
| v2_setfam_1(sK0_skl) ),
inference(resolution,[status(thm)],[f6777,f4744]) ).
fof(f6851,plain,
( ~ sQ163_spl
| sQ0_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f6778,f1967,f721,f4743]) ).
fof(f6875,plain,
$false,
inference(sat_refutation,[status(thm)],[f727,f731,f735,f736,f759,f761,f775,f855,f857,f859,f861,f863,f865,f867,f879,f922,f924,f926,f934,f944,f954,f956,f970,f1003,f1009,f1017,f1042,f1044,f1078,f1115,f1118,f1136,f1138,f1144,f1181,f1183,f1185,f1191,f1202,f1228,f1232,f1234,f1249,f1264,f1270,f1271,f1272,f1273,f1276,f1278,f1286,f1288,f1290,f1294,f1380,f1381,f1419,f1428,f1466,f1480,f1482,f1488,f1507,f1659,f1690,f1711,f1716,f1813,f1972,f1983,f2020,f2185,f2326,f2432,f2475,f2477,f3584,f3772,f3861,f3865,f3869,f3873,f3877,f3953,f3990,f3992,f4003,f4007,f4095,f4157,f4173,f4176,f4177,f4181,f4270,f4286,f4451,f4746,f4811,f4819,f4845,f4873,f5022,f5032,f5033,f5035,f5174,f5220,f5225,f5229,f5233,f5289,f5305,f5317,f5336,f6851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT374+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:54:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 137.55/17.81 % Refutation found
% 137.55/17.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 137.55/17.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.50/18.58 % Elapsed time: 18.201725 seconds
% 7.50/18.58 % CPU time: 139.391191 seconds
% 7.50/18.58 % Total memory used: 581.463 MB
% 7.50/18.58 % Net memory used: 561.782 MB
%------------------------------------------------------------------------------