TSTP Solution File: LAT380+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT380+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Fri May 3 02:35:37 EDT 2024
% Result : Theorem 7.79s 1.65s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 201 ( 41 unt; 0 def)
% Number of atoms : 2659 ( 39 equ)
% Maximal formula atoms : 58 ( 13 avg)
% Number of connectives : 4330 (1872 ~;1854 |; 545 &)
% ( 11 <=>; 46 =>; 0 <=; 2 <~>)
% Maximal formula depth : 45 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 356 ( 0 sgn 184 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v2_waybel_8(X1)
=> ! [X2] :
( ( 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) )
=> ( v22_waybel_0(X2,X0,X1)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v2_waybel_8(X1)
=> ! [X2] :
( ( 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) )
=> ( v22_waybel_0(X2,X0,X1)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f23,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f30,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f58,axiom,
! [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)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(f85,axiom,
! [X0,X1,X2] :
( ( m1_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_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) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel34) ).
fof(f122,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f127,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( 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) )
=> ( v22_waybel_0(X2,X0,X1)
=> v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_waybel34) ).
fof(f128,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( 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) )
=> ! [X2] :
( ( 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) )
=> ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
=> v22_waybel_0(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_waybel34) ).
fof(f133,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( v1_waybel34(X2,X1,X0)
=> v3_waybel34(X2,X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_waybel34) ).
fof(f134,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( ( v3_waybel34(X2,X1,X0)
& v2_waybel_8(X1) )
=> v1_waybel34(X2,X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_waybel34) ).
fof(f136,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( v3_waybel34(X2,X1,X0)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_waybel34) ).
fof(f138,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( v2_waybel_8(X0)
<=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ~ ( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0))) ) )
& r1_waybel_3(X0,X1,X2) ) ) )
& v3_waybel_3(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel_8) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( m1_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_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) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f85]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( m1_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_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) )
=> ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f156]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( m1_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_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) )
=> ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f167]) ).
fof(f190,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v22_waybel_0(X2,X0,X1)
<~> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) )
& 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) )
& v2_waybel_8(X1)
& l1_orders_2(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(ennf_transformation,[],[f2]) ).
fof(f191,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v22_waybel_0(X2,X0,X1)
<~> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) )
& 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) )
& v2_waybel_8(X1)
& l1_orders_2(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(flattening,[],[f190]) ).
fof(f214,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f215,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f214]) ).
fof(f226,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f227,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f226]) ).
fof(f276,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(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)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(k1_waybel34(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)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f276]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_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_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(ennf_transformation,[],[f172]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_relat_1(k1_waybel34(X0,X1,X2)) )
| ~ m1_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_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(flattening,[],[f299]) ).
fof(f349,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v22_waybel_0(X2,X0,X1)
| ~ 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_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(ennf_transformation,[],[f127]) ).
fof(f350,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v22_waybel_0(X2,X0,X1)
| ~ 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_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(flattening,[],[f349]) ).
fof(f351,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(ennf_transformation,[],[f128]) ).
fof(f352,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(flattening,[],[f351]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v3_waybel34(X2,X1,X0)
| ~ v1_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(ennf_transformation,[],[f133]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v3_waybel34(X2,X1,X0)
| ~ v1_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(flattening,[],[f359]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v1_waybel34(X2,X1,X0)
| ~ v3_waybel34(X2,X1,X0)
| ~ v2_waybel_8(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(ennf_transformation,[],[f134]) ).
fof(f362,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v1_waybel34(X2,X1,X0)
| ~ v3_waybel34(X2,X1,X0)
| ~ v2_waybel_8(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(flattening,[],[f361]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_waybel34(X2,X1,X0)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(ennf_transformation,[],[f136]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_waybel34(X2,X1,X0)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(flattening,[],[f364]) ).
fof(f367,plain,
! [X0] :
( ( v2_waybel_8(X0)
<=> ( ! [X1] :
( ! [X2] :
( ? [X3] :
( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
& v3_waybel_3(X0) ) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f368,plain,
! [X0] :
( ( v2_waybel_8(X0)
<=> ( ! [X1] :
( ! [X2] :
( ? [X3] :
( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
& v3_waybel_3(X0) ) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f367]) ).
fof(f380,plain,
! [X0] :
( sP5(X0)
<=> ( ! [X1] :
( ! [X2] :
( ? [X3] :
( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
& v3_waybel_3(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f381,plain,
! [X0] :
( ( v2_waybel_8(X0)
<=> sP5(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f382,plain,
! [X0] :
( sP6(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f368,f381,f380]) ).
fof(f383,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))))
| ~ v22_waybel_0(X2,X0,X1) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) )
| v22_waybel_0(X2,X0,X1) )
& 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) )
& v2_waybel_8(X1)
& l1_orders_2(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(nnf_transformation,[],[f191]) ).
fof(f384,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))))
| ~ v22_waybel_0(X2,X0,X1) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) )
| v22_waybel_0(X2,X0,X1) )
& 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) )
& v2_waybel_8(X1)
& l1_orders_2(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(flattening,[],[f383]) ).
fof(f385,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))))
| ~ v22_waybel_0(X2,X0,X1) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) )
| v22_waybel_0(X2,X0,X1) )
& 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) )
& v2_waybel_8(X1)
& l1_orders_2(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) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))))
| ~ v22_waybel_0(X2,sK7,X1) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1)))) )
| v22_waybel_0(X2,sK7,X1) )
& m2_relset_1(X2,u1_struct_0(sK7),u1_struct_0(X1))
& v17_waybel_0(X2,sK7,X1)
& v1_funct_2(X2,u1_struct_0(sK7),u1_struct_0(X1))
& v1_funct_1(X2) )
& v2_waybel_8(X1)
& l1_orders_2(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(sK7)
& v3_lattice3(sK7)
& v2_lattice3(sK7)
& v1_lattice3(sK7)
& v4_orders_2(sK7)
& v3_orders_2(sK7)
& v2_orders_2(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f386,plain,
( ? [X1] :
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))))
| ~ v22_waybel_0(X2,sK7,X1) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(sK7),k1_waybel34(sK7,X1,X2),u1_struct_0(k1_waybel_8(X1)))) )
| v22_waybel_0(X2,sK7,X1) )
& m2_relset_1(X2,u1_struct_0(sK7),u1_struct_0(X1))
& v17_waybel_0(X2,sK7,X1)
& v1_funct_2(X2,u1_struct_0(sK7),u1_struct_0(X1))
& v1_funct_1(X2) )
& v2_waybel_8(X1)
& l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(X2,sK7,sK8) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8)))) )
| v22_waybel_0(X2,sK7,sK8) )
& m2_relset_1(X2,u1_struct_0(sK7),u1_struct_0(sK8))
& v17_waybel_0(X2,sK7,sK8)
& v1_funct_2(X2,u1_struct_0(sK7),u1_struct_0(sK8))
& v1_funct_1(X2) )
& v2_waybel_8(sK8)
& l1_orders_2(sK8)
& v3_lattice3(sK8)
& v2_lattice3(sK8)
& v1_lattice3(sK8)
& v4_orders_2(sK8)
& v3_orders_2(sK8)
& v2_orders_2(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f387,plain,
( ? [X2] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(X2,sK7,sK8) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,X2),u1_struct_0(k1_waybel_8(sK8)))) )
| v22_waybel_0(X2,sK7,sK8) )
& m2_relset_1(X2,u1_struct_0(sK7),u1_struct_0(sK8))
& v17_waybel_0(X2,sK7,sK8)
& v1_funct_2(X2,u1_struct_0(sK7),u1_struct_0(sK8))
& v1_funct_1(X2) )
=> ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(sK9,sK7,sK8) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8)))) )
| v22_waybel_0(sK9,sK7,sK8) )
& m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& v17_waybel_0(sK9,sK7,sK8)
& v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& v1_funct_1(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f388,plain,
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(sK9,sK7,sK8) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
& v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8)))) )
| v22_waybel_0(sK9,sK7,sK8) )
& m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& v17_waybel_0(sK9,sK7,sK8)
& v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& v1_funct_1(sK9)
& v2_waybel_8(sK8)
& l1_orders_2(sK8)
& v3_lattice3(sK8)
& v2_lattice3(sK8)
& v1_lattice3(sK8)
& v4_orders_2(sK8)
& v3_orders_2(sK8)
& v2_orders_2(sK8)
& l1_orders_2(sK7)
& v3_lattice3(sK7)
& v2_lattice3(sK7)
& v1_lattice3(sK7)
& v4_orders_2(sK7)
& v3_orders_2(sK7)
& v2_orders_2(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f384,f387,f386,f385]) ).
fof(f454,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f456,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) )
| ~ v3_waybel34(X2,X1,X0) ) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(nnf_transformation,[],[f365]) ).
fof(f457,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
& v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
& v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) )
| ~ v3_waybel34(X2,X1,X0) ) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(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(flattening,[],[f456]) ).
fof(f458,plain,
! [X0] :
( ( ( v2_waybel_8(X0)
| ~ sP5(X0) )
& ( sP5(X0)
| ~ v2_waybel_8(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f381]) ).
fof(f459,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,X1,X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_waybel_3(X0) )
& ( ( ! [X1] :
( ! [X2] :
( ? [X3] :
( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
& v3_waybel_3(X0) )
| ~ sP5(X0) ) ),
inference(nnf_transformation,[],[f380]) ).
fof(f460,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,X1,X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_waybel_3(X0) )
& ( ( ! [X1] :
( ! [X2] :
( ? [X3] :
( r3_orders_2(X0,X3,X2)
& r3_orders_2(X0,X1,X3)
& r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X3,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
& v3_waybel_3(X0) )
| ~ sP5(X0) ) ),
inference(flattening,[],[f459]) ).
fof(f461,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,X1,X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_waybel_3(X0) )
& ( ( ! [X4] :
( ! [X5] :
( ? [X6] :
( r3_orders_2(X0,X6,X5)
& r3_orders_2(X0,X4,X6)
& r2_hidden(X6,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X6,u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v3_waybel_3(X0) )
| ~ sP5(X0) ) ),
inference(rectify,[],[f460]) ).
fof(f462,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,X1,X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,X1,X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
=> ( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,sK40(X0),X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,sK40(X0),X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(sK40(X0),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f463,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ r3_orders_2(X0,X3,X2)
| ~ r3_orders_2(X0,sK40(X0),X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,sK40(X0),X2)
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ! [X3] :
( ~ r3_orders_2(X0,X3,sK41(X0))
| ~ r3_orders_2(X0,sK40(X0),X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,sK40(X0),sK41(X0))
& m1_subset_1(sK41(X0),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f464,plain,
! [X0,X4,X5] :
( ? [X6] :
( r3_orders_2(X0,X6,X5)
& r3_orders_2(X0,X4,X6)
& r2_hidden(X6,u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(X6,u1_struct_0(X0)) )
=> ( r3_orders_2(X0,sK42(X0,X4,X5),X5)
& r3_orders_2(X0,X4,sK42(X0,X4,X5))
& r2_hidden(sK42(X0,X4,X5),u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(sK42(X0,X4,X5),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f465,plain,
! [X0] :
( ( sP5(X0)
| ( ! [X3] :
( ~ r3_orders_2(X0,X3,sK41(X0))
| ~ r3_orders_2(X0,sK40(X0),X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& r1_waybel_3(X0,sK40(X0),sK41(X0))
& m1_subset_1(sK41(X0),u1_struct_0(X0))
& m1_subset_1(sK40(X0),u1_struct_0(X0)) )
| ~ v3_waybel_3(X0) )
& ( ( ! [X4] :
( ! [X5] :
( ( r3_orders_2(X0,sK42(X0,X4,X5),X5)
& r3_orders_2(X0,X4,sK42(X0,X4,X5))
& r2_hidden(sK42(X0,X4,X5),u1_struct_0(k1_waybel_8(X0)))
& m1_subset_1(sK42(X0,X4,X5),u1_struct_0(X0)) )
| ~ r1_waybel_3(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& v3_waybel_3(X0) )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42])],[f461,f464,f463,f462]) ).
fof(f466,plain,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f467,plain,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f468,plain,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f469,plain,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f470,plain,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f471,plain,
v3_lattice3(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f472,plain,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f388]) ).
fof(f473,plain,
v2_orders_2(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f474,plain,
v3_orders_2(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f475,plain,
v4_orders_2(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f476,plain,
v1_lattice3(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f477,plain,
v2_lattice3(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f478,plain,
v3_lattice3(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f479,plain,
l1_orders_2(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f480,plain,
v2_waybel_8(sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f481,plain,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f388]) ).
fof(f482,plain,
v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f388]) ).
fof(f483,plain,
v17_waybel_0(sK9,sK7,sK8),
inference(cnf_transformation,[],[f388]) ).
fof(f484,plain,
m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f388]) ).
fof(f485,plain,
( v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f388]) ).
fof(f486,plain,
( v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f388]) ).
fof(f487,plain,
( v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f388]) ).
fof(f488,plain,
( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f388]) ).
fof(f489,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f388]) ).
fof(f542,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f565,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f655,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_waybel34(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)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f656,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f657,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f708,plain,
! [X2,X0,X1] :
( v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ m1_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_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,[],[f300]) ).
fof(f887,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f454]) ).
fof(f894,plain,
! [X2,X0,X1] :
( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v22_waybel_0(X2,X0,X1)
| ~ 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_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,[],[f350]) ).
fof(f895,plain,
! [X2,X0,X1] :
( 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,[],[f352]) ).
fof(f900,plain,
! [X2,X0,X1] :
( v3_waybel34(X2,X1,X0)
| ~ v1_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f360]) ).
fof(f901,plain,
! [X2,X0,X1] :
( v1_waybel34(X2,X1,X0)
| ~ v3_waybel34(X2,X1,X0)
| ~ v2_waybel_8(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f362]) ).
fof(f903,plain,
! [X2,X0,X1] :
( v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f457]) ).
fof(f904,plain,
! [X2,X0,X1] :
( v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f457]) ).
fof(f905,plain,
! [X2,X0,X1] :
( v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f457]) ).
fof(f906,plain,
! [X2,X0,X1] :
( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f457]) ).
fof(f907,plain,
! [X2,X0,X1] :
( v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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,[],[f457]) ).
fof(f909,plain,
! [X0] :
( sP5(X0)
| ~ v2_waybel_8(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f458]) ).
fof(f911,plain,
! [X0] :
( v3_waybel_3(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f465]) ).
fof(f920,plain,
! [X0] :
( sP6(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_49,negated_conjecture,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_50,negated_conjecture,
( m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_51,negated_conjecture,
( v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_52,negated_conjecture,
( v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f486]) ).
cnf(c_53,negated_conjecture,
( v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| v22_waybel_0(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_54,negated_conjecture,
m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f484]) ).
cnf(c_55,negated_conjecture,
v17_waybel_0(sK9,sK7,sK8),
inference(cnf_transformation,[],[f483]) ).
cnf(c_56,negated_conjecture,
v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f482]) ).
cnf(c_57,negated_conjecture,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f481]) ).
cnf(c_58,negated_conjecture,
v2_waybel_8(sK8),
inference(cnf_transformation,[],[f480]) ).
cnf(c_59,negated_conjecture,
l1_orders_2(sK8),
inference(cnf_transformation,[],[f479]) ).
cnf(c_60,negated_conjecture,
v3_lattice3(sK8),
inference(cnf_transformation,[],[f478]) ).
cnf(c_61,negated_conjecture,
v2_lattice3(sK8),
inference(cnf_transformation,[],[f477]) ).
cnf(c_62,negated_conjecture,
v1_lattice3(sK8),
inference(cnf_transformation,[],[f476]) ).
cnf(c_63,negated_conjecture,
v4_orders_2(sK8),
inference(cnf_transformation,[],[f475]) ).
cnf(c_64,negated_conjecture,
v3_orders_2(sK8),
inference(cnf_transformation,[],[f474]) ).
cnf(c_65,negated_conjecture,
v2_orders_2(sK8),
inference(cnf_transformation,[],[f473]) ).
cnf(c_66,negated_conjecture,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f472]) ).
cnf(c_67,negated_conjecture,
v3_lattice3(sK7),
inference(cnf_transformation,[],[f471]) ).
cnf(c_68,negated_conjecture,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f470]) ).
cnf(c_69,negated_conjecture,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f469]) ).
cnf(c_70,negated_conjecture,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f468]) ).
cnf(c_71,negated_conjecture,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f467]) ).
cnf(c_72,negated_conjecture,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f466]) ).
cnf(c_111,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f542]) ).
cnf(c_126,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_189,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f657]) ).
cnf(c_190,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f656]) ).
cnf(c_191,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k1_waybel34(X1,X2,X0)) ),
inference(cnf_transformation,[],[f655]) ).
cnf(c_240,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v18_waybel_0(k1_waybel34(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[],[f708]) ).
cnf(c_422,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f887]) ).
cnf(c_428,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v22_waybel_0(X0,X1,X2)
| ~ v17_waybel_0(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_waybel34(k1_waybel34(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[],[f894]) ).
cnf(c_429,plain,
( ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_waybel_3(X1)
| v22_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f895]) ).
cnf(c_434,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v3_waybel34(X0,X1,X2) ),
inference(cnf_transformation,[],[f900]) ).
cnf(c_435,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v3_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v2_waybel_8(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_waybel34(X0,X1,X2) ),
inference(cnf_transformation,[],[f901]) ).
cnf(c_437,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f907]) ).
cnf(c_438,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v3_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(cnf_transformation,[],[f906]) ).
cnf(c_439,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v3_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X2)) ),
inference(cnf_transformation,[],[f905]) ).
cnf(c_440,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v3_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(cnf_transformation,[],[f904]) ).
cnf(c_441,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v3_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1)))) ),
inference(cnf_transformation,[],[f903]) ).
cnf(c_444,plain,
( ~ v2_waybel_8(X0)
| ~ sP6(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f909]) ).
cnf(c_453,plain,
( ~ sP5(X0)
| v3_waybel_3(X0) ),
inference(cnf_transformation,[],[f911]) ).
cnf(c_454,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f920]) ).
cnf(c_458,plain,
( ~ sP5(sK8)
| v3_waybel_3(sK8) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_519,plain,
( ~ v2_waybel_8(sK8)
| ~ sP6(sK8)
| sP5(sK8) ),
inference(instantiation,[status(thm)],[c_444]) ).
cnf(c_598,plain,
( ~ l1_orders_2(sK8)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK8)
| sP6(sK8) ),
inference(instantiation,[status(thm)],[c_454]) ).
cnf(c_785,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_waybel_3(X1)
| v22_waybel_0(X2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_111,c_126,c_429]) ).
cnf(c_786,plain,
( ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_waybel_3(X1)
| v22_waybel_0(X2,X0,X1) ),
inference(renaming,[status(thm)],[c_785]) ).
cnf(c_787,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel34(X2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_111,c_126,c_437]) ).
cnf(c_788,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel34(X2,X0,X1) ),
inference(renaming,[status(thm)],[c_787]) ).
cnf(c_10544,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v18_waybel_0(X0,X2,X4)
| ~ v18_waybel_0(X1,X3,X5)
| ~ v1_waybel34(X0,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X4)
| ~ v3_lattice3(X5)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X4)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X4)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X5)
| v1_funct_1(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3)))) ),
inference(resolution_lifted,[status(thm)],[c_434,c_441]) ).
cnf(c_10545,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1)))) ),
inference(unflattening,[status(thm)],[c_10544]) ).
cnf(c_10607,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v18_waybel_0(X0,X2,X4)
| ~ v18_waybel_0(X1,X3,X5)
| ~ v1_waybel34(X0,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X4)
| ~ v3_lattice3(X5)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X4)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X4)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X5)
| v1_funct_2(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),u1_struct_0(k1_waybel_8(X3)),u1_struct_0(k1_waybel_8(X5))) ),
inference(resolution_lifted,[status(thm)],[c_434,c_440]) ).
cnf(c_10608,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(unflattening,[status(thm)],[c_10607]) ).
cnf(c_10670,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v18_waybel_0(X0,X2,X4)
| ~ v18_waybel_0(X1,X3,X5)
| ~ v1_waybel34(X0,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X4)
| ~ v3_lattice3(X5)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X4)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X4)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X5)
| v4_waybel34(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),k1_waybel_8(X3),k1_waybel_8(X5)) ),
inference(resolution_lifted,[status(thm)],[c_434,c_439]) ).
cnf(c_10671,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X2)) ),
inference(unflattening,[status(thm)],[c_10670]) ).
cnf(c_10733,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v18_waybel_0(X0,X2,X4)
| ~ v18_waybel_0(X1,X3,X5)
| ~ v1_waybel34(X0,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X4)
| ~ v3_lattice3(X5)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X4)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X4)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X5)
| m2_relset_1(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),u1_struct_0(k1_waybel_8(X3)),u1_struct_0(k1_waybel_8(X5))) ),
inference(resolution_lifted,[status(thm)],[c_434,c_438]) ).
cnf(c_10734,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(unflattening,[status(thm)],[c_10733]) ).
cnf(c_10806,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),u1_struct_0(k1_waybel_8(X3)),u1_struct_0(k1_waybel_8(X5)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),u1_struct_0(k1_waybel_8(X3)),u1_struct_0(k1_waybel_8(X5)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))),k1_waybel_8(X3),k1_waybel_8(X5))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X3),u1_struct_0(X5),X1,u1_struct_0(k1_waybel_8(X3))))
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v18_waybel_0(X0,X2,X4)
| ~ v18_waybel_0(X1,X3,X5)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v2_waybel_8(X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X5)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X4)
| ~ v3_lattice3(X5)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X4)
| ~ v2_lattice3(X5)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X4)
| ~ v1_lattice3(X5)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X5)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X5)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X5)
| v1_waybel34(X0,X2,X4) ),
inference(resolution_lifted,[status(thm)],[c_435,c_788]) ).
cnf(c_10807,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_waybel_8(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v1_waybel34(X2,X0,X1) ),
inference(unflattening,[status(thm)],[c_10806]) ).
cnf(c_10809,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_waybel_8(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v1_waybel34(X2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_10807,c_111,c_126,c_10807]) ).
cnf(c_10810,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_waybel_8(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v1_waybel34(X2,X0,X1) ),
inference(renaming,[status(thm)],[c_10809]) ).
cnf(c_11579,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| ~ v1_waybel34(k1_waybel34(X1,X0,X2),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_waybel_3(X0)
| v22_waybel_0(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_786]) ).
cnf(c_11580,plain,
( ~ v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v3_waybel_3(sK8)
| v22_waybel_0(sK9,sK7,sK8) ),
inference(unflattening,[status(thm)],[c_11579]) ).
cnf(c_11581,plain,
( ~ v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| v22_waybel_0(sK9,sK7,sK8) ),
inference(global_subsumption_just,[status(thm)],[c_11580,c_72,c_71,c_70,c_69,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_458,c_56,c_54,c_519,c_598,c_11580]) ).
cnf(c_11589,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v22_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v1_waybel34(k1_waybel34(X1,X0,X2),X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_428]) ).
cnf(c_11590,plain,
( ~ m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7) ),
inference(unflattening,[status(thm)],[c_11589]) ).
cnf(c_11591,plain,
( ~ v22_waybel_0(sK9,sK7,sK8)
| v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7) ),
inference(global_subsumption_just,[status(thm)],[c_11590,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_57,c_56,c_54,c_11590]) ).
cnf(c_11619,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v18_waybel_0(k1_waybel34(X1,X0,X2),X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_55,c_240]) ).
cnf(c_11620,plain,
( ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7) ),
inference(unflattening,[status(thm)],[c_11619]) ).
cnf(c_11621,plain,
( ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7) ),
inference(global_subsumption_just,[status(thm)],[c_11620,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_57,c_56,c_11620]) ).
cnf(c_14470,plain,
( k1_waybel34(sK7,sK8,sK9) != X0
| X1 != sK8
| X2 != sK7
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(resolution_lifted,[status(thm)],[c_10734,c_11591]) ).
cnf(c_14471,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(unflattening,[status(thm)],[c_14470]) ).
cnf(c_14472,plain,
( ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(global_subsumption_just,[status(thm)],[c_14471,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_50,c_14471]) ).
cnf(c_14473,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(renaming,[status(thm)],[c_14472]) ).
cnf(c_14489,plain,
( k1_waybel34(sK7,sK8,sK9) != X0
| X1 != sK8
| X2 != sK7
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X2)) ),
inference(resolution_lifted,[status(thm)],[c_10671,c_11591]) ).
cnf(c_14490,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7)) ),
inference(unflattening,[status(thm)],[c_14489]) ).
cnf(c_14491,plain,
( ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7)) ),
inference(global_subsumption_just,[status(thm)],[c_14490,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_51,c_14490]) ).
cnf(c_14492,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7)) ),
inference(renaming,[status(thm)],[c_14491]) ).
cnf(c_14508,plain,
( k1_waybel34(sK7,sK8,sK9) != X0
| X1 != sK8
| X2 != sK7
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X2))) ),
inference(resolution_lifted,[status(thm)],[c_10608,c_11591]) ).
cnf(c_14509,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(unflattening,[status(thm)],[c_14508]) ).
cnf(c_14510,plain,
( ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(global_subsumption_just,[status(thm)],[c_14509,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_52,c_14509]) ).
cnf(c_14511,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7))) ),
inference(renaming,[status(thm)],[c_14510]) ).
cnf(c_14527,plain,
( k1_waybel34(sK7,sK8,sK9) != X0
| X1 != sK8
| X2 != sK7
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1)))) ),
inference(resolution_lifted,[status(thm)],[c_10545,c_11591]) ).
cnf(c_14528,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8)))) ),
inference(unflattening,[status(thm)],[c_14527]) ).
cnf(c_14529,plain,
( ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8)))) ),
inference(global_subsumption_just,[status(thm)],[c_14528,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_53,c_14528]) ).
cnf(c_14530,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8)))) ),
inference(renaming,[status(thm)],[c_14529]) ).
cnf(c_15062,plain,
( k1_waybel34(sK7,sK8,sK9) != X2
| X0 != sK8
| X1 != sK7
| ~ m2_relset_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),u1_struct_0(k1_waybel_8(X0)),u1_struct_0(k1_waybel_8(X1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))),k1_waybel_8(X0),k1_waybel_8(X1))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(k1_waybel_8(X0))))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_waybel_8(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v22_waybel_0(sK9,sK7,sK8) ),
inference(resolution_lifted,[status(thm)],[c_10810,c_11581]) ).
cnf(c_15063,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v2_waybel_8(sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v22_waybel_0(sK9,sK7,sK8) ),
inference(unflattening,[status(thm)],[c_15062]) ).
cnf(c_15064,plain,
( ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7)) ),
inference(global_subsumption_just,[status(thm)],[c_15063,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_60,c_59,c_58,c_49,c_14473,c_14492,c_14511,c_14530,c_15063]) ).
cnf(c_15065,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9)) ),
inference(renaming,[status(thm)],[c_15064]) ).
cnf(c_23388,plain,
m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(superposition,[status(thm)],[c_54,c_422]) ).
cnf(c_23795,plain,
( ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v1_funct_1(k1_waybel34(sK7,sK8,sK9)) ),
inference(superposition,[status(thm)],[c_56,c_191]) ).
cnf(c_24001,plain,
( ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7) ),
inference(superposition,[status(thm)],[c_10734,c_49]) ).
cnf(c_24098,plain,
( ~ v1_funct_2(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),u1_struct_0(k1_waybel_8(sK8)),u1_struct_0(k1_waybel_8(sK7)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))),k1_waybel_8(sK8),k1_waybel_8(sK7))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK8),u1_struct_0(sK7),k1_waybel34(sK7,sK8,sK9),u1_struct_0(k1_waybel_8(sK8))))
| ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v2_waybel_8(sK8)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v3_lattice3(sK8)
| ~ v3_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7)
| v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| v22_waybel_0(sK9,sK7,sK8) ),
inference(superposition,[status(thm)],[c_50,c_10810]) ).
cnf(c_24715,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7)) ),
inference(global_subsumption_just,[status(thm)],[c_24001,c_72,c_71,c_70,c_69,c_68,c_66,c_65,c_64,c_63,c_62,c_61,c_59,c_57,c_11621,c_15065,c_23388,c_23795]) ).
cnf(c_24721,plain,
( ~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7) ),
inference(superposition,[status(thm)],[c_190,c_24715]) ).
cnf(c_24953,plain,
~ m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7)),
inference(global_subsumption_just,[status(thm)],[c_24098,c_72,c_71,c_70,c_69,c_68,c_66,c_65,c_64,c_63,c_62,c_61,c_59,c_57,c_56,c_23388,c_24721]) ).
cnf(c_24955,plain,
( ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(sK8)
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK8)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_orders_2(sK7) ),
inference(superposition,[status(thm)],[c_189,c_24953]) ).
cnf(c_24956,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_24955,c_23388,c_56,c_57,c_59,c_61,c_62,c_63,c_64,c_65,c_66,c_68,c_69,c_70,c_71,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT380+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 18:44:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.79/1.65 % SZS status Started for theBenchmark.p
% 7.79/1.65 % SZS status Theorem for theBenchmark.p
% 7.79/1.65
% 7.79/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.79/1.65
% 7.79/1.65 ------ iProver source info
% 7.79/1.65
% 7.79/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.79/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.79/1.65 git: non_committed_changes: false
% 7.79/1.65
% 7.79/1.65 ------ Parsing...
% 7.79/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.79/1.65
% 7.79/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 52 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 7.79/1.65
% 7.79/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.79/1.65
% 7.79/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.79/1.65 ------ Proving...
% 7.79/1.65 ------ Problem Properties
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65 clauses 284
% 7.79/1.65 conjectures 23
% 7.79/1.65 EPR 123
% 7.79/1.65 Horn 193
% 7.79/1.65 unary 88
% 7.79/1.65 binary 61
% 7.79/1.65 lits 1219
% 7.79/1.65 lits eq 8
% 7.79/1.65 fd_pure 0
% 7.79/1.65 fd_pseudo 0
% 7.79/1.65 fd_cond 1
% 7.79/1.65 fd_pseudo_cond 3
% 7.79/1.65 AC symbols 0
% 7.79/1.65
% 7.79/1.65 ------ Input Options Time Limit: Unbounded
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65 ------
% 7.79/1.65 Current options:
% 7.79/1.65 ------
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65 ------ Proving...
% 7.79/1.65
% 7.79/1.65
% 7.79/1.65 % SZS status Theorem for theBenchmark.p
% 7.79/1.65
% 7.79/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.79/1.66
% 7.79/1.66
%------------------------------------------------------------------------------