%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT370+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:59 PM UTC 2026
% Result : Theorem 7.14s 1.41s
% Output : CNFRefutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 54
% Syntax : Number of formulae : 223 ( 30 unt; 36 def)
% Number of atoms : 1217 ( 14 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 1669 ( 675 ~; 706 |; 215 &)
% ( 39 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 72 ( 70 usr; 37 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 141 ( 138 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_orders_2(A)
& v3_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& v3_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& ~ v3_struct_0(B) )
=> ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> k3_waybel_1(A,B,C) = k7_grcat_1(k2_yellow_2(A,B,C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m1_yellow_0(k2_yellow_2(A,B,C),B)
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_1(k3_waybel_1(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A] :
( l1_struct_0(A)
=> ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( m1_yellow_0(B,A)
=> l1_orders_2(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [A,B] :
( ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B)
& l1_orders_2(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [A,B] :
( ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B)
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v3_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v24_waybel_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v3_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v1_waybel34(k1_waybel34(A,B,C),B,A)
=> v22_waybel_0(C,A,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B)
& k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f150,plain,
? [A] :
( ? [B] :
( ~ v4_waybel_0(k2_yellow_2(A,A,B),A)
& v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
& l1_orders_2(A)
& v3_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f151,plain,
( ~ v4_waybel_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
& v1_waybel34(k2_waybel_1(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
& m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
& v7_waybel_1(sK1_skl,sK0_skl)
& v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
& v1_funct_1(sK1_skl)
& l1_orders_2(sK0_skl)
& v3_waybel_3(sK0_skl)
& v3_lattice3(sK0_skl)
& v2_lattice3(sK0_skl)
& v1_lattice3(sK0_skl)
& v4_orders_2(sK0_skl)
& v3_orders_2(sK0_skl)
& v2_orders_2(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f150]) ).
fof(f152,plain,
v2_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
v3_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f154,plain,
v4_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f155,plain,
v1_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f156,plain,
v2_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f157,plain,
v3_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f158,plain,
v3_waybel_3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f159,plain,
l1_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f160,plain,
v1_funct_1(sK1_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f161,plain,
v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f162,plain,
v7_waybel_1(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f163,plain,
m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f164,plain,
v1_waybel34(k2_waybel_1(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f165,plain,
~ v4_waybel_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f184,plain,
! [A] :
( ! [B] :
( ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) )
| ~ v5_yellow_0(B,A)
| ~ v4_yellow_0(B,A)
| v3_struct_0(B)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f188,plain,
! [X0,X1] :
( v2_lattice3(X1)
| ~ v5_yellow_0(X1,X0)
| ~ v4_yellow_0(X1,X0)
| v3_struct_0(X1)
| ~ m1_yellow_0(X1,X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f315,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f316,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f331,plain,
! [A] :
( ! [B] :
( ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) )
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f336,plain,
! [X0,X1] :
( v6_waybel_1(X1,X0)
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f399,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_waybel_1(A,B,C) = k7_grcat_1(k2_yellow_2(A,B,C))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f400,plain,
! [X0,X1,X2] :
( k3_waybel_1(X0,X1,X2) = k7_grcat_1(k2_yellow_2(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f399]) ).
fof(f416,plain,
! [A,B,C] :
( ( m1_yellow_0(k2_yellow_2(A,B,C),B)
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f418,plain,
! [X0,X1,X2] :
( v4_yellow_0(k2_yellow_2(X0,X1,X2),X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f419,plain,
! [X0,X1,X2] :
( m1_yellow_0(k2_yellow_2(X0,X1,X2),X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f420,plain,
! [A,B,C] :
( ( m2_relset_1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_1(k3_waybel_1(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f422,plain,
! [X0,X1,X2] :
( v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f423,plain,
! [X0,X1,X2] :
( m2_relset_1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f424,plain,
! [A] :
( ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) )
| ~ l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f425,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f431,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f432,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f431]) ).
fof(f433,plain,
! [A] :
( ! [B] :
( l1_orders_2(B)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f74]) ).
fof(f434,plain,
! [X0,X1] :
( l1_orders_2(X1)
| ~ m1_yellow_0(X1,X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f452,plain,
! [A,B] :
( ( v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) )
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ l1_orders_2(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f84]) ).
fof(f455,plain,
! [X0,X1] :
( v2_orders_2(k2_yellow_2(X0,X0,X1))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f456,plain,
! [X0,X1] :
( v3_orders_2(k2_yellow_2(X0,X0,X1))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f457,plain,
! [X0,X1] :
( v4_orders_2(k2_yellow_2(X0,X0,X1))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f459,plain,
! [X0,X1] :
( v5_yellow_0(k2_yellow_2(X0,X0,X1),X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f462,plain,
! [A,B] :
( ( v3_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v24_waybel_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v3_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) )
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v6_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f85]) ).
fof(f474,plain,
! [X0,X1] :
( v1_lattice3(k2_yellow_2(X0,X0,X1))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f476,plain,
! [X0,X1] :
( v3_lattice3(k2_yellow_2(X0,X0,X1))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f533,plain,
! [A,B,C] :
( ( v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f94]) ).
fof(f534,plain,
! [X0,X1,X2] :
( ~ v3_struct_0(k2_yellow_2(X0,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f821,plain,
( ~ v3_struct_0(sK25_skl)
& l1_struct_0(sK25_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(A,sK25_skl)],[f129]) ).
fof(f823,plain,
~ v3_struct_0(sK25_skl),
inference(cnf_transformation,[status(thm)],[f821]) ).
fof(f876,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f137]) ).
fof(f877,plain,
( ! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ! [A,B,C] :
( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f876]) ).
fof(f878,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f884,plain,
! [A] :
( ! [B] :
( ! [C] :
( v22_waybel_0(C,A,B)
| ~ v1_waybel34(k1_waybel34(A,B,C),B,A)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v17_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_waybel_3(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f140]) ).
fof(f885,plain,
! [X0,X1,X2] :
( v22_waybel_0(X2,X0,X1)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f884]) ).
fof(f888,plain,
! [A] :
( ! [B] :
( ( k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B)
& k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f142]) ).
fof(f890,plain,
! [X0,X1] :
( v17_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f892,plain,
! [X0,X1] :
( k1_waybel34(k2_yellow_2(X0,X0,X1),X0,k3_waybel_1(X0,X0,X1)) = k2_waybel_1(X0,X0,X1)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f897,plain,
! [A] :
( ! [B] :
( ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f144]) ).
fof(f898,plain,
! [A] :
( ! [B] :
( ( ( ~ v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
| v4_waybel_0(k2_yellow_2(A,A,B),A) )
& ( v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
| ~ v4_waybel_0(k2_yellow_2(A,A,B),A) ) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(NNF_transformation,[status(thm)],[f897]) ).
fof(f900,plain,
! [X0,X1] :
( ~ v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
| v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f940,plain,
( ~ v22_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f900,f165]) ).
fof(f942,definition,
( sQ4_spl
<=> v2_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ4_spl
| ~ v2_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ5_spl
<=> v3_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ5_spl
| ~ v3_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ6_spl
<=> v4_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( sQ6_spl
| ~ v4_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ7_spl
<=> v1_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( sQ7_spl
| ~ v1_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ8_spl
<=> v2_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ8_spl
| ~ v2_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ9_spl
<=> v3_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ9_spl
| ~ v3_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ10_spl
<=> l1_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ10_spl
| ~ l1_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ11_spl
<=> v1_funct_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( sQ11_spl
| ~ v1_funct_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ12_spl
<=> v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ12_spl
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ13_spl
<=> v7_waybel_1(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ13_spl
| ~ v7_waybel_1(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ14_spl
<=> m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ14_spl
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
( sQ15_spl
<=> v22_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f940,f942,f945,f948,f951,f954,f957,f960,f963,f966,f969,f972,f975]) ).
fof(f984,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f163]) ).
fof(f985,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f162]) ).
fof(f987,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f161]) ).
fof(f989,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f160]) ).
fof(f991,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f992,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f159]) ).
fof(f993,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f157]) ).
fof(f995,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f156]) ).
fof(f997,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f155]) ).
fof(f999,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f998]) ).
fof(f1000,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f154]) ).
fof(f1001,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f947,f153]) ).
fof(f1003,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1004,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f152]) ).
fof(f1005,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f1004]) ).
fof(f1051,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v6_waybel_1(X1,X0)
| ~ v7_waybel_1(X1,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f336,f878]) ).
fof(f1052,plain,
( ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| v6_waybel_1(sK1_skl,sK0_skl)
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1051,f161]) ).
fof(f1053,definition,
( sQ26_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ26_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ27_spl
<=> v6_waybel_1(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( ~ sQ14_spl
| sQ27_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1052,f1053,f960,f963,f969,f1056,f972]) ).
fof(f1074,plain,
( ~ sQ26_spl
| ~ v2_lattice3(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1054,f316]) ).
fof(f1076,plain,
( ~ sQ26_spl
| ~ sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1074,f960,f954,f1053]) ).
fof(f1080,definition,
( sQ30_spl
<=> m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ30_spl
| m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
( sQ30_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1091,plain,
( sQ30_spl
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f1082,f878]) ).
fof(f1092,plain,
( sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1091,f972,f1080]) ).
fof(f1141,plain,
( k3_waybel_1(sK0_skl,sK0_skl,sK1_skl) = k7_grcat_1(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f400,f161]) ).
fof(f1144,definition,
( sQ39_spl
<=> k3_waybel_1(sK0_skl,sK0_skl,sK1_skl) = k7_grcat_1(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( ~ sQ39_spl
| k3_waybel_1(sK0_skl,sK0_skl,sK1_skl) = k7_grcat_1(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1141,f1053,f960,f963,f972,f1144]) ).
fof(f1150,definition,
( sQ40_spl
<=> v3_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ40_spl
| v3_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
( sQ41_spl
<=> v2_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ41_spl
| ~ v2_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ42_spl
<=> l1_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( sQ41_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1155,f455]) ).
fof(f1172,plain,
( sQ41_spl
| ~ sQ30_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1170,f1053,f942,f945,f948,f960,f963,f966,f969,f1080,f1153]) ).
fof(f1173,plain,
( ~ sQ40_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1151,f534]) ).
fof(f1178,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1173,f1053,f960,f963,f966,f1080,f1150]) ).
fof(f1180,definition,
( sQ45_spl
<=> v2_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( sQ45_spl
| ~ v2_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1184,definition,
( sQ46_spl
<=> v1_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
( sQ46_spl
| ~ v1_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1190,definition,
( sQ47_spl
<=> v4_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( sQ47_spl
| ~ v4_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1200,definition,
( sQ50_spl
<=> v3_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ50_spl
| ~ v3_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1212,plain,
! [X0] :
( sQ45_spl
| ~ v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ v4_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| v3_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(resolution,[status(thm)],[f1182,f188]) ).
fof(f1215,definition,
( sQ51_spl
<=> v3_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( sQ51_spl
| ~ v3_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1225,definition,
! [X0] :
( sQ54_spl
<=> ( ~ v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ v4_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ54_spl
| ~ v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ v4_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( sQ45_spl
| sQ40_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1212,f1225,f1150,f1180]) ).
fof(f1298,plain,
( sQ47_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1192,f457]) ).
fof(f1300,plain,
( sQ47_spl
| ~ sQ30_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1298,f1053,f942,f945,f948,f960,f963,f966,f969,f1080,f1190]) ).
fof(f1301,plain,
( ~ sQ54_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
| ~ m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1226,f418]) ).
fof(f1303,definition,
( sQ67_spl
<=> m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ67_spl
| m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1305,plain,
( sQ67_spl
| ~ m1_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,definition,
( sQ68_spl
<=> v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( sQ68_spl
| ~ v5_yellow_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ26_spl
| ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1301,f945,f948,f954,f960,f1303,f1306,f1053,f963,f966,f1080,f1225]) ).
fof(f1343,plain,
( ~ sQ30_spl
| v1_funct_2(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f422,f1081]) ).
fof(f1345,definition,
( sQ76_spl
<=> v1_funct_2(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( ~ sQ30_spl
| sQ76_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1343,f1053,f960,f963,f966,f1345,f1080]) ).
fof(f1349,plain,
( ~ sQ39_spl
| v1_funct_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl))
| ~ l1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(paramodulation,[status(thm)],[f1145,f425]) ).
fof(f1350,definition,
( sQ77_spl
<=> l1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( sQ77_spl
| ~ l1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,definition,
( sQ78_spl
<=> v1_funct_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ39_spl
| sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1349,f1350,f1353,f1144]) ).
fof(f1400,plain,
( sQ77_spl
| ~ l1_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f432,f1352]) ).
fof(f1427,plain,
( sQ51_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1217,f456]) ).
fof(f1429,plain,
( sQ51_spl
| ~ sQ30_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1427,f1053,f942,f945,f948,f960,f963,f966,f969,f1080,f1215]) ).
fof(f1509,definition,
( sQ99_spl
<=> m2_relset_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( sQ99_spl
| ~ m2_relset_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1509]) ).
fof(f1753,plain,
( sQ68_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1308,f459]) ).
fof(f1755,plain,
( sQ68_spl
| ~ sQ30_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1753,f1053,f942,f945,f948,f960,f963,f966,f969,f1080,f1306]) ).
fof(f1760,plain,
( sQ67_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1305,f419]) ).
fof(f1761,plain,
( sQ67_spl
| ~ sQ30_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1760,f1053,f960,f963,f966,f1080,f1303]) ).
fof(f2025,plain,
( sQ99_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1511,f423]) ).
fof(f2027,plain,
( sQ99_spl
| ~ sQ30_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f2025,f1053,f960,f963,f966,f1080,f1509]) ).
fof(f2028,plain,
( ~ sQ67_spl
| l1_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1304,f434]) ).
fof(f2029,plain,
( ~ sQ67_spl
| sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2028,f960,f1156,f1303]) ).
fof(f2030,plain,
( sQ77_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1400,f1156,f1350]) ).
fof(f2071,plain,
( sQ46_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v6_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1186,f474]) ).
fof(f2074,plain,
( sQ46_spl
| ~ sQ30_spl
| ~ sQ27_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2071,f942,f945,f948,f951,f954,f957,f960,f963,f966,f1056,f1080,f1184]) ).
fof(f2118,plain,
( sQ50_spl
| ~ m1_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v6_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1202,f476]) ).
fof(f2121,plain,
( sQ50_spl
| ~ sQ30_spl
| ~ sQ27_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2118,f942,f945,f948,f951,f954,f957,f960,f963,f966,f1056,f1080,f1200]) ).
fof(f8958,plain,
( k1_waybel34(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k3_waybel_1(sK0_skl,sK0_skl,sK1_skl)) = k2_waybel_1(sK0_skl,sK0_skl,sK1_skl)
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f892,f162]) ).
fof(f8973,definition,
( sQ1314_spl
<=> k1_waybel34(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k3_waybel_1(sK0_skl,sK0_skl,sK1_skl)) = k2_waybel_1(sK0_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1314_spl])],[split_symbol_definition]) ).
fof(f8974,plain,
( ~ sQ1314_spl
| k1_waybel34(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k3_waybel_1(sK0_skl,sK0_skl,sK1_skl)) = k2_waybel_1(sK0_skl,sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f8973]) ).
fof(f8976,plain,
( sQ1314_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f8958,f942,f945,f948,f951,f954,f957,f960,f963,f966,f972,f8973]) ).
fof(f9039,definition,
( sQ1324_spl
<=> v17_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1324_spl])],[split_symbol_definition]) ).
fof(f9041,plain,
( sQ1324_spl
| ~ v17_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f9039]) ).
fof(f9064,plain,
( ~ sQ1314_spl
| v22_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
| ~ v1_waybel34(k2_waybel_1(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ m2_relset_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl))
| ~ v17_waybel_0(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),k2_yellow_2(sK0_skl,sK0_skl,sK1_skl),sK0_skl)
| ~ v1_funct_2(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl),u1_struct_0(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k3_waybel_1(sK0_skl,sK0_skl,sK1_skl))
| ~ l1_orders_2(sK0_skl)
| ~ v3_waybel_3(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| ~ l1_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v3_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v2_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v1_lattice3(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v4_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v3_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl))
| ~ v2_orders_2(k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(paramodulation,[status(thm)],[f8974,f885]) ).
fof(f9085,definition,
( sQ1330_spl
<=> v3_waybel_3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1330_spl])],[split_symbol_definition]) ).
fof(f9087,plain,
( sQ1330_spl
| ~ v3_waybel_3(sK0_skl) ),
inference(component_clause,[status(thm)],[f9085]) ).
fof(f9088,definition,
( sQ1331_spl
<=> v1_waybel34(k2_waybel_1(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1331_spl])],[split_symbol_definition]) ).
fof(f9090,plain,
( sQ1331_spl
| ~ v1_waybel34(k2_waybel_1(sK0_skl,sK0_skl,sK1_skl),sK0_skl,k2_yellow_2(sK0_skl,sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f9088]) ).
fof(f9091,plain,
( ~ sQ1314_spl
| sQ15_spl
| ~ sQ1331_spl
| ~ sQ99_spl
| ~ sQ1324_spl
| ~ sQ76_spl
| ~ sQ78_spl
| ~ sQ10_spl
| ~ sQ1330_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ42_spl
| ~ sQ50_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ51_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f9064,f1153,f1215,f1190,f1184,f1180,f1200,f1156,f942,f945,f948,f951,f954,f957,f9085,f960,f1353,f1345,f9039,f1509,f9088,f975,f8973]) ).
fof(f9092,plain,
( sQ1331_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9090,f164]) ).
fof(f9093,plain,
sQ1331_spl,
inference(contradiction_clause,[status(thm)],[f9092]) ).
fof(f9094,plain,
( sQ1330_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9087,f158]) ).
fof(f9095,plain,
sQ1330_spl,
inference(contradiction_clause,[status(thm)],[f9094]) ).
fof(f9654,definition,
( sQ1423_spl
<=> v3_struct_0(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ1423_spl])],[split_symbol_definition]) ).
fof(f9655,plain,
( ~ sQ1423_spl
| v3_struct_0(sK25_skl) ),
inference(component_clause,[status(thm)],[f9654]) ).
fof(f9702,plain,
( ~ sQ1423_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9655,f823]) ).
fof(f9703,plain,
~ sQ1423_spl,
inference(contradiction_clause,[status(thm)],[f9702]) ).
fof(f10194,plain,
( sQ1324_spl
| ~ m2_relset_1(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_waybel_1(sK1_skl,sK0_skl)
| ~ v1_funct_2(sK1_skl,u1_struct_0(sK0_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f9041,f890]) ).
fof(f10196,plain,
( sQ1324_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f10194,f942,f945,f948,f951,f954,f957,f960,f963,f966,f969,f972,f9039]) ).
fof(f10198,plain,
$false,
inference(sat_refutation,[status(thm)],[f978,f985,f987,f989,f991,f993,f995,f997,f999,f1001,f1003,f1005,f1059,f1076,f1092,f1147,f1172,f1178,f1228,f1300,f1309,f1348,f1356,f1429,f1755,f1761,f2027,f2029,f2030,f2074,f2121,f8976,f9091,f9093,f9095,f9703,f10196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT370+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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 23:56:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 7.14/1.41 % Refutation found
% 7.14/1.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.14/1.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.26/1.48 % Elapsed time: 1.102548 seconds
% 6.26/1.48 % CPU time: 8.152055 seconds
% 6.26/1.48 % Total memory used: 199.196 MB
% 6.26/1.48 % Net memory used: 197.075 MB
%------------------------------------------------------------------------------