TSTP Solution File: LAT357+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:45 EDT 2023
% Result : Theorem 9.35s 1.66s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 65
% Syntax : Number of formulae : 290 ( 60 unt; 0 def)
% Number of atoms : 1684 ( 15 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 2453 (1059 ~;1111 |; 188 &)
% ( 56 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 59 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 54 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 175 (; 170 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& v3_lattice3(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(D,A,B)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v17_waybel_0(E,B,C)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> k1_waybel34(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) = k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k1_waybel34(B,C,E),k1_waybel34(A,B,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& v3_lattice3(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(D,A,B)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v17_waybel_0(E,B,C)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> k1_waybel34(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) = k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k1_waybel34(B,C,E),k1_waybel34(A,B,D)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v3_lattice3(A) )
=> ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v3_lattice3(A)
& v3_lattice3(B)
& v17_waybel_0(C,A,B) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [A,B,C,D,E] :
( ( ~ v1_xboole_0(B)
& v1_funct_1(D)
& v1_funct_2(D,A,B)
& m1_relset_1(D,A,B)
& v1_funct_1(E)
& v1_funct_2(E,B,C)
& m1_relset_1(E,B,C) )
=> ( v1_funct_1(k7_funct_2(A,B,C,D,E))
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( ( v17_waybel_0(D,A,B)
& v17_waybel_0(E,B,C) )
=> v17_waybel_0(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) )
=> ! [G] :
( ( v1_funct_1(G)
& v1_funct_2(G,u1_struct_0(C),u1_struct_0(B))
& m2_relset_1(G,u1_struct_0(C),u1_struct_0(B)) )
=> ( ( v3_waybel_1(k1_waybel_1(A,B,D,F),A,B)
& v3_waybel_1(k1_waybel_1(B,C,E,G),B,C) )
=> v3_waybel_1(k1_waybel_1(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),G,F)),A,C) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,plain,
? [A] :
( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& ? [B] :
( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& ? [C] :
( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& v3_lattice3(C)
& l1_orders_2(C)
& ? [D] :
( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(D,A,B)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
& ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v17_waybel_0(E,B,C)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
& k1_waybel34(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) != k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k1_waybel34(B,C,E),k1_waybel34(A,B,D)) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f119,plain,
( v2_orders_2(sk0_0)
& v3_orders_2(sk0_0)
& v4_orders_2(sk0_0)
& v1_lattice3(sk0_0)
& v2_lattice3(sk0_0)
& v3_lattice3(sk0_0)
& l1_orders_2(sk0_0)
& v2_orders_2(sk0_1)
& v3_orders_2(sk0_1)
& v4_orders_2(sk0_1)
& v1_lattice3(sk0_1)
& v2_lattice3(sk0_1)
& v3_lattice3(sk0_1)
& l1_orders_2(sk0_1)
& v2_orders_2(sk0_2)
& v3_orders_2(sk0_2)
& v4_orders_2(sk0_2)
& v1_lattice3(sk0_2)
& v2_lattice3(sk0_2)
& v3_lattice3(sk0_2)
& l1_orders_2(sk0_2)
& v1_funct_1(sk0_3)
& v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
& v17_waybel_0(sk0_3,sk0_0,sk0_1)
& m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
& v1_funct_1(sk0_4)
& v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
& v17_waybel_0(sk0_4,sk0_1,sk0_2)
& m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
& k1_waybel34(sk0_0,sk0_2,k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4)) != k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)) ),
inference(skolemization,[status(esa)],[f118]) ).
fof(f120,plain,
v2_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
v3_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f122,plain,
v4_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f123,plain,
v1_lattice3(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f125,plain,
v3_lattice3(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f126,plain,
l1_orders_2(sk0_0),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f127,plain,
v2_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f128,plain,
v3_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f129,plain,
v4_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f130,plain,
v1_lattice3(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f132,plain,
v3_lattice3(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f133,plain,
l1_orders_2(sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f134,plain,
v2_orders_2(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f135,plain,
v3_orders_2(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f136,plain,
v4_orders_2(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f137,plain,
v1_lattice3(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f139,plain,
v3_lattice3(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f140,plain,
l1_orders_2(sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f141,plain,
v1_funct_1(sk0_3),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f142,plain,
v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f143,plain,
v17_waybel_0(sk0_3,sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f144,plain,
m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f145,plain,
v1_funct_1(sk0_4),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f146,plain,
v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f147,plain,
v17_waybel_0(sk0_4,sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f148,plain,
m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f149,plain,
k1_waybel34(sk0_0,sk0_2,k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4)) != k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f227,plain,
! [A] :
( ~ l1_orders_2(A)
| ~ v1_lattice3(A)
| ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f228,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f227]) ).
fof(f246,plain,
! [A] :
( ~ l1_orders_2(A)
| v3_struct_0(A)
| ~ v3_lattice3(A)
| ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f249,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0) ),
inference(cnf_transformation,[status(esa)],[f246]) ).
fof(f275,plain,
! [A] :
( ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f276,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f315,plain,
! [A] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v17_waybel_0(C,A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f316,plain,
! [A] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ! [B] :
( ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ! [C] :
( ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v3_lattice3(A)
| ~ v3_lattice3(B)
| ~ v17_waybel_0(C,A,B)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ( ( D != k1_waybel34(A,B,C)
| v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) )
& ( D = k1_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f315]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| X3 != k1_waybel34(X0,X1,X2)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f318,plain,
! [X0,X1,X2,X3] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| X3 = k1_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f320,plain,
! [A,B,C] :
( ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_lattice3(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ v1_lattice3(B)
| ~ v2_lattice3(B)
| ~ l1_orders_2(B)
| ~ v1_funct_1(C)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ( v1_funct_1(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f321,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f322,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f323,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f328,plain,
! [A,B,C,D,E] :
( v1_xboole_0(B)
| ~ v1_funct_1(D)
| ~ v1_funct_2(D,A,B)
| ~ m1_relset_1(D,A,B)
| ~ v1_funct_1(E)
| ~ v1_funct_2(E,B,C)
| ~ m1_relset_1(E,B,C)
| ( v1_funct_1(k7_funct_2(A,B,C,D,E))
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X4)
| ~ m1_relset_1(X3,X0,X4)
| v1_funct_1(k7_funct_2(X2,X0,X4,X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f330,plain,
! [X0,X1,X2,X3,X4] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X4)
| ~ m1_relset_1(X3,X0,X4)
| v1_funct_2(k7_funct_2(X2,X0,X4,X1,X3),X2,X4) ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X4)
| ~ m1_relset_1(X3,X0,X4)
| m2_relset_1(k7_funct_2(X2,X0,X4,X1,X3),X2,X4) ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f332,plain,
! [A] :
( ~ l1_orders_2(A)
| l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f56]) ).
fof(f333,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f388,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_struct_0(A)
| ~ v1_xboole_0(u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f79]) ).
fof(f389,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f524,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(esa)],[f106]) ).
fof(f525,plain,
( ! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(miniscoping,[status(esa)],[f524]) ).
fof(f526,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f525]) ).
fof(f532,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_orders_2(A)
| ! [B] :
( v3_struct_0(B)
| ~ l1_orders_2(B)
| ! [C] :
( v3_struct_0(C)
| ~ l1_orders_2(C)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
| ! [E] :
( ~ v1_funct_1(E)
| ~ v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
| ~ m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
| ~ v17_waybel_0(D,A,B)
| ~ v17_waybel_0(E,B,C)
| v17_waybel_0(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f109]) ).
fof(f533,plain,
! [X0,X1,X2,X3,X4] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X0,X1)
| ~ v17_waybel_0(X4,X1,X2)
| v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ),
inference(cnf_transformation,[status(esa)],[f532]) ).
fof(f551,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ l1_orders_2(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_orders_2(B)
| ~ v3_orders_2(B)
| ~ v4_orders_2(B)
| ~ l1_orders_2(B)
| ! [C] :
( v3_struct_0(C)
| ~ v2_orders_2(C)
| ~ v3_orders_2(C)
| ~ v4_orders_2(C)
| ~ l1_orders_2(C)
| ! [D] :
( ~ v1_funct_1(D)
| ~ v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
| ~ m2_relset_1(D,u1_struct_0(A),u1_struct_0(B))
| ! [E] :
( ~ v1_funct_1(E)
| ~ v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
| ~ m2_relset_1(E,u1_struct_0(B),u1_struct_0(C))
| ! [F] :
( ~ v1_funct_1(F)
| ~ v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
| ~ m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
| ! [G] :
( ~ v1_funct_1(G)
| ~ v1_funct_2(G,u1_struct_0(C),u1_struct_0(B))
| ~ m2_relset_1(G,u1_struct_0(C),u1_struct_0(B))
| ~ v3_waybel_1(k1_waybel_1(A,B,D,F),A,B)
| ~ v3_waybel_1(k1_waybel_1(B,C,E,G),B,C)
| v3_waybel_1(k1_waybel_1(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),G,F)),A,C) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f116]) ).
fof(f552,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ),
inference(cnf_transformation,[status(esa)],[f551]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f317]) ).
fof(f568,plain,
( spl0_3
<=> v3_struct_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( v3_struct_0(sk0_2)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_4
<=> v3_lattice3(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f573,plain,
( ~ v3_lattice3(sk0_2)
| spl0_4 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_5
<=> v1_lattice3(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( ~ v1_lattice3(sk0_2)
| spl0_5 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f579,plain,
( spl0_6
<=> v3_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( v3_struct_0(sk0_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_7
<=> v3_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f584,plain,
( ~ v3_lattice3(sk0_1)
| spl0_7 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( spl0_8
<=> v1_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( ~ v1_lattice3(sk0_1)
| spl0_8 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f590,plain,
( spl0_9
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( v3_struct_0(sk0_0)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( spl0_10
<=> v3_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( ~ v3_lattice3(sk0_0)
| spl0_10 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( spl0_11
<=> v1_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( ~ v1_lattice3(sk0_0)
| spl0_11 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f601,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f125]) ).
fof(f602,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f132]) ).
fof(f604,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f139]) ).
fof(f606,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( spl0_12
<=> l1_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( ~ l1_orders_2(sk0_0)
| spl0_12 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( ~ l1_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f591,f228]) ).
fof(f611,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f610,f607,f596,f590]) ).
fof(f612,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f126]) ).
fof(f613,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f123]) ).
fof(f615,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( spl0_13
<=> l1_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( ~ l1_orders_2(sk0_1)
| spl0_13 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ l1_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f580,f228]) ).
fof(f620,plain,
( ~ spl0_13
| ~ spl0_8
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f619,f616,f585,f579]) ).
fof(f621,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f133]) ).
fof(f622,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f130]) ).
fof(f624,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( spl0_14
<=> l1_orders_2(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( ~ l1_orders_2(sk0_2)
| spl0_14 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ l1_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f569,f228]) ).
fof(f629,plain,
( ~ spl0_14
| ~ spl0_5
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f628,f625,f574,f568]) ).
fof(f630,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f140]) ).
fof(f631,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f137]) ).
fof(f633,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)),
inference(resolution,[status(thm)],[f526,f148]) ).
fof(f635,plain,
m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)),
inference(resolution,[status(thm)],[f526,f144]) ).
fof(f641,plain,
( spl0_16
<=> v2_lattice3(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( v3_struct_0(sk0_2)
| ~ v3_lattice3(sk0_2)
| v2_lattice3(sk0_2) ),
inference(resolution,[status(thm)],[f249,f140]) ).
fof(f645,plain,
( spl0_3
| ~ spl0_4
| spl0_16 ),
inference(split_clause,[status(thm)],[f644,f568,f571,f641]) ).
fof(f646,plain,
( spl0_17
<=> v2_lattice3(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( v3_struct_0(sk0_1)
| ~ v3_lattice3(sk0_1)
| v2_lattice3(sk0_1) ),
inference(resolution,[status(thm)],[f249,f133]) ).
fof(f650,plain,
( spl0_6
| ~ spl0_7
| spl0_17 ),
inference(split_clause,[status(thm)],[f649,f579,f582,f646]) ).
fof(f651,plain,
( spl0_18
<=> v2_lattice3(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f654,plain,
( v3_struct_0(sk0_0)
| ~ v3_lattice3(sk0_0)
| v2_lattice3(sk0_0) ),
inference(resolution,[status(thm)],[f249,f126]) ).
fof(f655,plain,
( spl0_9
| ~ spl0_10
| spl0_18 ),
inference(split_clause,[status(thm)],[f654,f590,f593,f651]) ).
fof(f662,plain,
( spl0_19
<=> v2_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( ~ v2_orders_2(sk0_0)
| spl0_19 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_20
<=> v3_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( ~ v3_orders_2(sk0_0)
| spl0_20 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_21
<=> v4_orders_2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( ~ v4_orders_2(sk0_0)
| spl0_21 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_22
<=> v2_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( ~ v2_orders_2(sk0_1)
| spl0_22 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_23
<=> v3_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( ~ v3_orders_2(sk0_1)
| spl0_23 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_24
<=> v4_orders_2(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( ~ v4_orders_2(sk0_1)
| spl0_24 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_25
<=> v1_funct_1(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( ~ v1_funct_1(sk0_3)
| spl0_25 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( spl0_26
<=> v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_26 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( spl0_27
<=> v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3)) ),
inference(resolution,[status(thm)],[f321,f635]) ).
fof(f690,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_25
| ~ spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f689,f662,f665,f668,f596,f651,f607,f671,f674,f677,f585,f646,f616,f680,f683,f686]) ).
fof(f691,plain,
( spl0_28
<=> v2_orders_2(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f693,plain,
( ~ v2_orders_2(sk0_2)
| spl0_28 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( spl0_29
<=> v3_orders_2(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( ~ v3_orders_2(sk0_2)
| spl0_29 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_30
<=> v4_orders_2(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f699,plain,
( ~ v4_orders_2(sk0_2)
| spl0_30 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_31
<=> v1_funct_1(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f702,plain,
( ~ v1_funct_1(sk0_4)
| spl0_31 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_32
<=> v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f705,plain,
( ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_32 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_33
<=> v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f709,plain,
( ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4)) ),
inference(resolution,[status(thm)],[f321,f634]) ).
fof(f710,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_5
| ~ spl0_16
| ~ spl0_14
| ~ spl0_31
| ~ spl0_32
| spl0_33 ),
inference(split_clause,[status(thm)],[f709,f671,f674,f677,f585,f646,f616,f691,f694,f697,f574,f641,f625,f700,f703,f706]) ).
fof(f711,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f146]) ).
fof(f712,plain,
spl0_32,
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( $false
| spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f145]) ).
fof(f714,plain,
spl0_31,
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f136]) ).
fof(f716,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f135]) ).
fof(f718,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f134]) ).
fof(f720,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f142]) ).
fof(f722,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f141]) ).
fof(f724,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f122]) ).
fof(f726,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f121]) ).
fof(f728,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f120]) ).
fof(f730,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f129]) ).
fof(f732,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f128]) ).
fof(f734,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f127]) ).
fof(f736,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f735]) ).
fof(f737,plain,
! [X0,X1,X2] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| m1_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(resolution,[status(thm)],[f323,f526]) ).
fof(f747,plain,
( spl0_34
<=> v17_waybel_0(sk0_3,sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( ~ v17_waybel_0(sk0_3,sk0_0,sk0_1)
| spl0_34 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f755,plain,
( spl0_36
<=> v17_waybel_0(sk0_4,sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( ~ v17_waybel_0(sk0_4,sk0_1,sk0_2)
| spl0_36 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f763,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f757,f147]) ).
fof(f764,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f765,plain,
( $false
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f143]) ).
fof(f766,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f947,plain,
l1_struct_0(sk0_1),
inference(resolution,[status(thm)],[f333,f133]) ).
fof(f2854,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5) = k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) ),
inference(resolution,[status(thm)],[f552,f318]) ).
fof(f2855,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5) = k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) ),
inference(duplicate_literals_removal,[status(esa)],[f2854]) ).
fof(f2856,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5) = k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2855,f276]) ).
fof(f2859,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5),u1_struct_0(X2),u1_struct_0(X0))
| k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5) = k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2856,f276]) ).
fof(f2860,plain,
( spl0_107
<=> m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2862,plain,
( ~ m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_107 ),
inference(component_clause,[status(thm)],[f2860]) ).
fof(f2863,plain,
( spl0_108
<=> m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f2865,plain,
( ~ m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_108 ),
inference(component_clause,[status(thm)],[f2863]) ).
fof(f2866,plain,
( spl0_109
<=> v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2868,plain,
( ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_109 ),
inference(component_clause,[status(thm)],[f2866]) ).
fof(f2869,plain,
( spl0_110
<=> m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2871,plain,
( ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_110 ),
inference(component_clause,[status(thm)],[f2869]) ).
fof(f2872,plain,
( spl0_111
<=> v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2874,plain,
( ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| spl0_111 ),
inference(component_clause,[status(thm)],[f2872]) ).
fof(f2875,plain,
( spl0_112
<=> m2_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2877,plain,
( ~ m2_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| spl0_112 ),
inference(component_clause,[status(thm)],[f2875]) ).
fof(f2878,plain,
( spl0_113
<=> v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_3,k1_waybel34(sk0_0,sk0_1,sk0_3)),sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f2880,plain,
( ~ v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_3,k1_waybel34(sk0_0,sk0_1,sk0_3)),sk0_0,sk0_1)
| spl0_113 ),
inference(component_clause,[status(thm)],[f2878]) ).
fof(f2881,plain,
( spl0_114
<=> v3_waybel_1(k1_waybel_1(sk0_1,sk0_2,sk0_4,k1_waybel34(sk0_1,sk0_2,sk0_4)),sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f2883,plain,
( ~ v3_waybel_1(k1_waybel_1(sk0_1,sk0_2,sk0_4,k1_waybel34(sk0_1,sk0_2,sk0_4)),sk0_1,sk0_2)
| spl0_114 ),
inference(component_clause,[status(thm)],[f2881]) ).
fof(f2884,plain,
( spl0_115
<=> v1_funct_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f2886,plain,
( ~ v1_funct_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4))
| spl0_115 ),
inference(component_clause,[status(thm)],[f2884]) ).
fof(f2887,plain,
( spl0_116
<=> v1_funct_2(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f2889,plain,
( ~ v1_funct_2(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2))
| spl0_116 ),
inference(component_clause,[status(thm)],[f2887]) ).
fof(f2890,plain,
( spl0_117
<=> m2_relset_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f2892,plain,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2))
| spl0_117 ),
inference(component_clause,[status(thm)],[f2890]) ).
fof(f2893,plain,
( spl0_118
<=> v17_waybel_0(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f2895,plain,
( ~ v17_waybel_0(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),sk0_0,sk0_2)
| spl0_118 ),
inference(component_clause,[status(thm)],[f2893]) ).
fof(f2896,plain,
( spl0_119
<=> v1_funct_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3))) ),
introduced(split_symbol_definition) ).
fof(f2898,plain,
( ~ v1_funct_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)))
| spl0_119 ),
inference(component_clause,[status(thm)],[f2896]) ).
fof(f2899,plain,
( spl0_120
<=> v1_funct_2(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2901,plain,
( ~ v1_funct_2(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0))
| spl0_120 ),
inference(component_clause,[status(thm)],[f2899]) ).
fof(f2902,plain,
( spl0_121
<=> m2_relset_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2904,plain,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0))
| spl0_121 ),
inference(component_clause,[status(thm)],[f2902]) ).
fof(f2905,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ l1_orders_2(sk0_0)
| v3_struct_0(sk0_1)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4))
| ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ m2_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ v3_waybel_1(k1_waybel_1(sk0_0,sk0_1,sk0_3,k1_waybel34(sk0_0,sk0_1,sk0_3)),sk0_0,sk0_1)
| ~ v3_waybel_1(k1_waybel_1(sk0_1,sk0_2,sk0_4,k1_waybel34(sk0_1,sk0_2,sk0_4)),sk0_1,sk0_2)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),u1_struct_0(sk0_0),u1_struct_0(sk0_2))
| ~ v3_lattice3(sk0_0)
| ~ v3_lattice3(sk0_2)
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),u1_struct_0(sk0_2),sk0_3,sk0_4),sk0_0,sk0_2)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sk0_2),u1_struct_0(sk0_1),u1_struct_0(sk0_0),k1_waybel34(sk0_1,sk0_2,sk0_4),k1_waybel34(sk0_0,sk0_1,sk0_3)),u1_struct_0(sk0_2),u1_struct_0(sk0_0)) ),
inference(resolution,[status(thm)],[f2859,f149]) ).
fof(f2906,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_12
| spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_14
| ~ spl0_25
| ~ spl0_26
| ~ spl0_107
| ~ spl0_31
| ~ spl0_32
| ~ spl0_108
| ~ spl0_27
| ~ spl0_109
| ~ spl0_110
| ~ spl0_33
| ~ spl0_111
| ~ spl0_112
| ~ spl0_113
| ~ spl0_114
| ~ spl0_11
| ~ spl0_18
| ~ spl0_5
| ~ spl0_16
| ~ spl0_115
| ~ spl0_116
| ~ spl0_117
| ~ spl0_10
| ~ spl0_4
| ~ spl0_118
| ~ spl0_119
| ~ spl0_120
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f2905,f662,f665,f668,f607,f579,f671,f674,f677,f616,f691,f694,f697,f625,f680,f683,f2860,f700,f703,f2863,f686,f2866,f2869,f706,f2872,f2875,f2878,f2881,f596,f651,f574,f641,f2884,f2887,f2890,f593,f571,f2893,f2896,f2899,f2902]) ).
fof(f2907,plain,
( $false
| spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2865,f148]) ).
fof(f2908,plain,
spl0_108,
inference(contradiction_clause,[status(thm)],[f2907]) ).
fof(f2909,plain,
( $false
| spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f2862,f144]) ).
fof(f2910,plain,
spl0_107,
inference(contradiction_clause,[status(thm)],[f2909]) ).
fof(f2911,plain,
( spl0_122
<=> m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f2913,plain,
( ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_122 ),
inference(component_clause,[status(thm)],[f2911]) ).
fof(f2914,plain,
( ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_112 ),
inference(resolution,[status(thm)],[f2877,f323]) ).
fof(f2915,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_5
| ~ spl0_16
| ~ spl0_14
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_112 ),
inference(split_clause,[status(thm)],[f2914,f671,f674,f677,f585,f646,f616,f691,f694,f697,f574,f641,f625,f700,f703,f2911,f2875]) ).
fof(f2916,plain,
( $false
| spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f2913,f634]) ).
fof(f2917,plain,
spl0_122,
inference(contradiction_clause,[status(thm)],[f2916]) ).
fof(f2918,plain,
( ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_111 ),
inference(resolution,[status(thm)],[f2874,f322]) ).
fof(f2919,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_5
| ~ spl0_16
| ~ spl0_14
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_111 ),
inference(split_clause,[status(thm)],[f2918,f671,f674,f677,f585,f646,f616,f691,f694,f697,f574,f641,f625,f700,f703,f2911,f2872]) ).
fof(f2920,plain,
( spl0_123
<=> m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2922,plain,
( ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_123 ),
inference(component_clause,[status(thm)],[f2920]) ).
fof(f2923,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_110 ),
inference(resolution,[status(thm)],[f2871,f323]) ).
fof(f2924,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| spl0_110 ),
inference(split_clause,[status(thm)],[f2923,f662,f665,f668,f596,f651,f607,f671,f674,f677,f585,f646,f616,f680,f683,f2920,f2869]) ).
fof(f2925,plain,
( $false
| spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f2922,f635]) ).
fof(f2926,plain,
spl0_123,
inference(contradiction_clause,[status(thm)],[f2925]) ).
fof(f2927,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_109 ),
inference(resolution,[status(thm)],[f2868,f322]) ).
fof(f2928,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| spl0_109 ),
inference(split_clause,[status(thm)],[f2927,f662,f665,f668,f596,f651,f607,f671,f674,f677,f585,f646,f616,f680,f683,f2920,f2866]) ).
fof(f2929,plain,
( spl0_124
<=> v1_xboole_0(u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2930,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f2929]) ).
fof(f2932,plain,
( spl0_125
<=> m1_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f2934,plain,
( ~ m1_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| spl0_125 ),
inference(component_clause,[status(thm)],[f2932]) ).
fof(f2935,plain,
( spl0_126
<=> m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2937,plain,
( ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_126 ),
inference(component_clause,[status(thm)],[f2935]) ).
fof(f2938,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4))
| ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ m1_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_121 ),
inference(resolution,[status(thm)],[f2904,f331]) ).
fof(f2939,plain,
( spl0_124
| ~ spl0_33
| ~ spl0_111
| ~ spl0_125
| ~ spl0_27
| ~ spl0_109
| ~ spl0_126
| spl0_121 ),
inference(split_clause,[status(thm)],[f2938,f2929,f706,f2872,f2932,f686,f2866,f2935,f2902]) ).
fof(f2946,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| spl0_126 ),
inference(resolution,[status(thm)],[f2937,f737]) ).
fof(f2947,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| spl0_126 ),
inference(split_clause,[status(thm)],[f2946,f662,f665,f668,f596,f651,f607,f671,f674,f677,f585,f646,f616,f680,f683,f2920,f2935]) ).
fof(f2948,plain,
( ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_125 ),
inference(resolution,[status(thm)],[f2934,f737]) ).
fof(f2949,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_5
| ~ spl0_16
| ~ spl0_14
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_125 ),
inference(split_clause,[status(thm)],[f2948,f671,f674,f677,f585,f646,f616,f691,f694,f697,f574,f641,f625,f700,f703,f2911,f2932]) ).
fof(f2950,plain,
( spl0_127
<=> l1_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f2952,plain,
( ~ l1_struct_0(sk0_1)
| spl0_127 ),
inference(component_clause,[status(thm)],[f2950]) ).
fof(f2953,plain,
( v3_struct_0(sk0_1)
| ~ l1_struct_0(sk0_1)
| ~ spl0_124 ),
inference(resolution,[status(thm)],[f2930,f389]) ).
fof(f2954,plain,
( spl0_6
| ~ spl0_127
| ~ spl0_124 ),
inference(split_clause,[status(thm)],[f2953,f579,f2950,f2929]) ).
fof(f2964,plain,
( $false
| spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2952,f947]) ).
fof(f2965,plain,
spl0_127,
inference(contradiction_clause,[status(thm)],[f2964]) ).
fof(f3040,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4))
| ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ m1_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_120 ),
inference(resolution,[status(thm)],[f2901,f330]) ).
fof(f3041,plain,
( spl0_124
| ~ spl0_33
| ~ spl0_111
| ~ spl0_125
| ~ spl0_27
| ~ spl0_109
| ~ spl0_126
| spl0_120 ),
inference(split_clause,[status(thm)],[f3040,f2929,f706,f2872,f2932,f686,f2866,f2935,f2899]) ).
fof(f3042,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4))
| ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ m1_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m1_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_119 ),
inference(resolution,[status(thm)],[f2898,f329]) ).
fof(f3043,plain,
( spl0_124
| ~ spl0_33
| ~ spl0_111
| ~ spl0_125
| ~ spl0_27
| ~ spl0_109
| ~ spl0_126
| spl0_119 ),
inference(split_clause,[status(thm)],[f3042,f2929,f706,f2872,f2932,f686,f2866,f2935,f2896]) ).
fof(f3147,plain,
( v3_struct_0(sk0_0)
| ~ l1_orders_2(sk0_0)
| v3_struct_0(sk0_1)
| ~ l1_orders_2(sk0_1)
| v3_struct_0(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ v17_waybel_0(sk0_3,sk0_0,sk0_1)
| ~ v17_waybel_0(sk0_4,sk0_1,sk0_2)
| spl0_118 ),
inference(resolution,[status(thm)],[f2895,f533]) ).
fof(f3148,plain,
( spl0_9
| ~ spl0_12
| spl0_6
| ~ spl0_13
| spl0_3
| ~ spl0_14
| ~ spl0_25
| ~ spl0_26
| ~ spl0_107
| ~ spl0_31
| ~ spl0_32
| ~ spl0_108
| ~ spl0_34
| ~ spl0_36
| spl0_118 ),
inference(split_clause,[status(thm)],[f3147,f590,f607,f579,f616,f568,f625,f680,f683,f2860,f700,f703,f2863,f747,f755,f2893]) ).
fof(f3149,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_117 ),
inference(resolution,[status(thm)],[f2892,f331]) ).
fof(f3150,plain,
( spl0_124
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_117 ),
inference(split_clause,[status(thm)],[f3149,f2929,f680,f683,f2920,f700,f703,f2911,f2890]) ).
fof(f3151,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_116 ),
inference(resolution,[status(thm)],[f2889,f330]) ).
fof(f3152,plain,
( spl0_124
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_116 ),
inference(split_clause,[status(thm)],[f3151,f2929,f680,f683,f2920,f700,f703,f2911,f2887]) ).
fof(f3182,plain,
( v1_xboole_0(u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m1_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m1_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| spl0_115 ),
inference(resolution,[status(thm)],[f2886,f329]) ).
fof(f3183,plain,
( spl0_124
| ~ spl0_25
| ~ spl0_26
| ~ spl0_123
| ~ spl0_31
| ~ spl0_32
| ~ spl0_122
| spl0_115 ),
inference(split_clause,[status(thm)],[f3182,f2929,f680,f683,f2920,f700,f703,f2911,f2884]) ).
fof(f3184,plain,
( ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v2_orders_2(sk0_2)
| ~ v3_orders_2(sk0_2)
| ~ v4_orders_2(sk0_2)
| ~ v1_lattice3(sk0_2)
| ~ v2_lattice3(sk0_2)
| ~ l1_orders_2(sk0_2)
| ~ v1_funct_1(sk0_4)
| ~ v1_funct_2(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ m2_relset_1(sk0_4,u1_struct_0(sk0_1),u1_struct_0(sk0_2))
| ~ v3_lattice3(sk0_1)
| ~ v3_lattice3(sk0_2)
| ~ v17_waybel_0(sk0_4,sk0_1,sk0_2)
| ~ v1_funct_1(k1_waybel34(sk0_1,sk0_2,sk0_4))
| ~ v1_funct_2(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| ~ m2_relset_1(k1_waybel34(sk0_1,sk0_2,sk0_4),u1_struct_0(sk0_2),u1_struct_0(sk0_1))
| spl0_114 ),
inference(resolution,[status(thm)],[f2883,f556]) ).
fof(f3185,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_5
| ~ spl0_16
| ~ spl0_14
| ~ spl0_31
| ~ spl0_32
| ~ spl0_108
| ~ spl0_7
| ~ spl0_4
| ~ spl0_36
| ~ spl0_33
| ~ spl0_111
| ~ spl0_112
| spl0_114 ),
inference(split_clause,[status(thm)],[f3184,f671,f674,f677,f585,f646,f616,f691,f694,f697,f574,f641,f625,f700,f703,f2863,f582,f571,f755,f706,f2872,f2875,f2881]) ).
fof(f3186,plain,
( ~ v2_orders_2(sk0_0)
| ~ v3_orders_2(sk0_0)
| ~ v4_orders_2(sk0_0)
| ~ v1_lattice3(sk0_0)
| ~ v2_lattice3(sk0_0)
| ~ l1_orders_2(sk0_0)
| ~ v2_orders_2(sk0_1)
| ~ v3_orders_2(sk0_1)
| ~ v4_orders_2(sk0_1)
| ~ v1_lattice3(sk0_1)
| ~ v2_lattice3(sk0_1)
| ~ l1_orders_2(sk0_1)
| ~ v1_funct_1(sk0_3)
| ~ v1_funct_2(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ m2_relset_1(sk0_3,u1_struct_0(sk0_0),u1_struct_0(sk0_1))
| ~ v3_lattice3(sk0_0)
| ~ v3_lattice3(sk0_1)
| ~ v17_waybel_0(sk0_3,sk0_0,sk0_1)
| ~ v1_funct_1(k1_waybel34(sk0_0,sk0_1,sk0_3))
| ~ v1_funct_2(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| ~ m2_relset_1(k1_waybel34(sk0_0,sk0_1,sk0_3),u1_struct_0(sk0_1),u1_struct_0(sk0_0))
| spl0_113 ),
inference(resolution,[status(thm)],[f2880,f556]) ).
fof(f3187,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_17
| ~ spl0_13
| ~ spl0_25
| ~ spl0_26
| ~ spl0_107
| ~ spl0_10
| ~ spl0_7
| ~ spl0_34
| ~ spl0_27
| ~ spl0_109
| ~ spl0_110
| spl0_113 ),
inference(split_clause,[status(thm)],[f3186,f662,f665,f668,f596,f651,f607,f671,f674,f677,f585,f646,f616,f680,f683,f2860,f593,f582,f747,f686,f2866,f2869,f2878]) ).
fof(f3188,plain,
$false,
inference(sat_refutation,[status(thm)],[f602,f604,f606,f611,f613,f615,f620,f622,f624,f629,f631,f633,f645,f650,f655,f690,f710,f712,f714,f716,f718,f720,f722,f724,f726,f728,f730,f732,f734,f736,f764,f766,f2906,f2908,f2910,f2915,f2917,f2919,f2924,f2926,f2928,f2939,f2947,f2949,f2954,f2965,f3041,f3043,f3148,f3150,f3152,f3183,f3185,f3187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:27:28 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 9.35/1.66 % Refutation found
% 9.35/1.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.35/1.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.63/1.69 % Elapsed time: 1.364527 seconds
% 9.63/1.69 % CPU time: 9.803471 seconds
% 9.63/1.69 % Memory used: 132.785 MB
%------------------------------------------------------------------------------