%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:44 PM UTC 2026
% Result : Theorem 19.95s 3.98s
% Output : CNFRefutation 19.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 163 ( 39 unt; 2 def)
% Number of atoms : 1945 ( 0 equ)
% Maximal formula atoms : 29 ( 11 avg)
% Number of connectives : 3084 (1302 ~;1294 |; 435 &)
% ( 11 <=>; 40 =>; 0 <=; 2 <~>)
% Maximal formula depth : 27 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 264 ( 0 sgn 240 !; 24 ?; 65 :)
% 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/sandbox/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,[status(cth)],[f1]) ).
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/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f35,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t7_waybel_8) ).
fof(f154,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(f166,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,[],[f154]) ).
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,[],[f166]) ).
fof(f190,plain,
? [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(ennf_transformation,[],[f2]) ).
fof(f191,plain,
? [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(flattening,[],[f190]) ).
fof(f226,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f227,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f226]) ).
fof(f234,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f235,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f234]) ).
fof(f276,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f277,plain,
! [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)) ) ),
inference(flattening,[],[f276]) ).
fof(f299,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(ennf_transformation,[],[f172]) ).
fof(f300,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(flattening,[],[f299]) ).
fof(f349,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f127]) ).
fof(f350,plain,
! [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) ) ) ),
inference(flattening,[],[f349]) ).
fof(f351,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f352,plain,
! [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) ) ) ),
inference(flattening,[],[f351]) ).
fof(f359,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f133]) ).
fof(f360,plain,
! [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) ) ) ),
inference(flattening,[],[f359]) ).
fof(f361,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f134]) ).
fof(f362,plain,
! [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) ) ) ),
inference(flattening,[],[f361]) ).
fof(f364,plain,
! [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)))) ) ) ) ) ),
inference(ennf_transformation,[],[f136]) ).
fof(f365,plain,
! [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)))) ) ) ) ) ),
inference(flattening,[],[f364]) ).
fof(f367,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f138]) ).
fof(f368,plain,
! [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) ) ) ),
inference(flattening,[],[f367]) ).
fof(f383,plain,
? [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)))) ) )
& ( ~ 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(nnf_transformation,[],[f191]) ).
fof(f384,plain,
? [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)))) ) )
& ( ~ 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(flattening,[],[f383]) ).
fof(f385,plain,
( 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)
& 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)
& v2_waybel_8(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)
& ( 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(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)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f384]) ).
fof(f422,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(f424,plain,
! [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)))) ) )
& ( ~ 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) ) ) ) ) ),
inference(nnf_transformation,[],[f365]) ).
fof(f425,plain,
! [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)))) ) )
& ( ~ 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) ) ) ) ) ),
inference(flattening,[],[f424]) ).
fof(f426,plain,
! [X0] :
( ~ sP6(X0)
| ( ( ~ v2_waybel_8(X0)
| sP5(X0) )
& ( ~ sP5(X0)
| v2_waybel_8(X0) ) ) ),
inference(nnf_transformation,[],[f381]) ).
fof(f431,plain,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f432,plain,
v3_lattice3(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f433,plain,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f434,plain,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f435,plain,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f436,plain,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f437,plain,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f385]) ).
fof(f438,plain,
l1_orders_2(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f439,plain,
v3_lattice3(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f440,plain,
v2_lattice3(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f441,plain,
v1_lattice3(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f442,plain,
v4_orders_2(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f443,plain,
v3_orders_2(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f444,plain,
v2_orders_2(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f445,plain,
v2_waybel_8(sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f446,plain,
m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f385]) ).
fof(f447,plain,
v17_waybel_0(sK9,sK7,sK8),
inference(cnf_transformation,[],[f385]) ).
fof(f448,plain,
v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f385]) ).
fof(f449,plain,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f385]) ).
fof(f450,plain,
( 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))) ),
inference(cnf_transformation,[],[f385]) ).
fof(f451,plain,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f385]) ).
fof(f452,plain,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f385]) ).
fof(f453,plain,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f385]) ).
fof(f454,plain,
( ~ 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)))) ),
inference(cnf_transformation,[],[f385]) ).
fof(f529,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f552,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f620,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ 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)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f621,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ 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)
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ 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)
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f671,plain,
! [X2,X0,X1] :
( ~ 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)
| v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f852,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f422]) ).
fof(f859,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f350]) ).
fof(f860,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f352]) ).
fof(f865,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f360]) ).
fof(f866,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f362]) ).
fof(f868,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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))) ),
inference(cnf_transformation,[],[f425]) ).
fof(f869,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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)
| 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)) ),
inference(cnf_transformation,[],[f425]) ).
fof(f870,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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)
| 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))) ),
inference(cnf_transformation,[],[f425]) ).
fof(f871,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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)
| v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ),
inference(cnf_transformation,[],[f425]) ).
fof(f872,plain,
! [X2,X0,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)
| ~ 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)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f425]) ).
fof(f874,plain,
! [X0] :
( ~ sP6(X0)
| ~ v2_waybel_8(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f426]) ).
fof(f885,plain,
! [X0] :
( ~ 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,[],[f382]) ).
tcf(c_49,negated_conjecture,
( ~ v22_waybel_0(sK9,sK7,sK8)
| ~ 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))))
| ~ 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))
| ~ 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))) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_50,negated_conjecture,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f453]) ).
tcf(c_51,negated_conjecture,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f452]) ).
tcf(c_52,negated_conjecture,
( v22_waybel_0(sK9,sK7,sK8)
| 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(cnf_transformation,[],[f451]) ).
tcf(c_53,negated_conjecture,
( 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))) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_54,negated_conjecture,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f449]) ).
tcf(c_55,negated_conjecture,
v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f448]) ).
tcf(c_56,negated_conjecture,
v17_waybel_0(sK9,sK7,sK8),
inference(cnf_transformation,[],[f447]) ).
tcf(c_57,negated_conjecture,
m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f446]) ).
tcf(c_58,negated_conjecture,
v2_waybel_8(sK8),
inference(cnf_transformation,[],[f445]) ).
tcf(c_59,negated_conjecture,
v2_orders_2(sK8),
inference(cnf_transformation,[],[f444]) ).
tcf(c_60,negated_conjecture,
v3_orders_2(sK8),
inference(cnf_transformation,[],[f443]) ).
tcf(c_61,negated_conjecture,
v4_orders_2(sK8),
inference(cnf_transformation,[],[f442]) ).
tcf(c_62,negated_conjecture,
v1_lattice3(sK8),
inference(cnf_transformation,[],[f441]) ).
tcf(c_63,negated_conjecture,
v2_lattice3(sK8),
inference(cnf_transformation,[],[f440]) ).
tcf(c_64,negated_conjecture,
v3_lattice3(sK8),
inference(cnf_transformation,[],[f439]) ).
tcf(c_65,negated_conjecture,
l1_orders_2(sK8),
inference(cnf_transformation,[],[f438]) ).
tcf(c_66,negated_conjecture,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f437]) ).
tcf(c_67,negated_conjecture,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f436]) ).
tcf(c_68,negated_conjecture,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f435]) ).
tcf(c_69,negated_conjecture,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f434]) ).
tcf(c_70,negated_conjecture,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f433]) ).
tcf(c_71,negated_conjecture,
v3_lattice3(sK7),
inference(cnf_transformation,[],[f432]) ).
tcf(c_72,negated_conjecture,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f431]) ).
tcf(c_126,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_147,negated_conjecture,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f552]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k1_waybel34(X1,X2,X0))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( v18_waybel_0(k1_waybel34(X1,X2,X0),X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,X1,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_waybel34(k1_waybel34(X1,X2,X0),X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,X1,X2)
| ~ v22_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f859]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i] :
( v22_waybel_0(X2,X0,X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f860]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel34(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v1_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f865]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_waybel34(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_waybel_8(X1)
| ~ v1_funct_1(X0)
| ~ v3_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f866]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel34(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(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))
| ~ 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))) ),
inference(cnf_transformation,[],[f872]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0,u1_struct_0(k1_waybel_8(X1))))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v3_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f871]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i] :
( 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)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v3_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f870]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i] :
( 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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v3_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f869]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i] :
( 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)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v3_waybel34(X0,X1,X2)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f868]) ).
tcf(c_444,plain,
! [X0: $i] :
( sP5(X0)
| ~ sP6(X0)
| ~ v2_waybel_8(X0) ),
inference(cnf_transformation,[],[f874]) ).
tcf(c_454,plain,
! [X0: $i] :
( 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,[],[f885]) ).
tcf(c_520,plain,
( sP5(sK8)
| ~ sP6(sK8)
| ~ v2_waybel_8(sK8) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_596,plain,
( sP6(sK8)
| ~ l1_orders_2(sK8)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK8) ),
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i] :
( v22_waybel_0(X2,X0,X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_147,c_126,c_429]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i,X2: $i] :
( v22_waybel_0(X2,X0,X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0) ),
inference(renaming,[status(thm)],[c_781]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel34(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(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)))
| ~ 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))))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_147,c_126,c_437]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel34(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(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))
| ~ 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))) ),
inference(renaming,[status(thm)],[c_783]) ).
tcf(c_1132,plain,
( m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_waybel34(X0,X1,sK9))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK9,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK9,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_189]) ).
tcf(c_1512,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(k1_waybel34(X0,X1,sK9),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK9,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK9,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_1553,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k1_waybel34(X0,X1,sK9),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK9)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK9,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK9,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_1608,plain,
( v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ v17_waybel_0(sK9,sK7,sK8)
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_1633,plain,
( v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ v17_waybel_0(sK9,sK7,sK8)
| ~ v22_waybel_0(sK9,sK7,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_1756,plain,
( v22_waybel_0(sK9,sK7,sK8)
| ~ v3_waybel_3(sK8)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ v17_waybel_0(sK9,sK7,sK8)
| ~ 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_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_1757,plain,
( v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_434]) ).
tcf(c_1796,plain,
( v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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))
| ~ 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))))
| ~ 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))
| ~ 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))) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_1841,plain,
( v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_1475]) ).
tcf(c_1842,plain,
( v1_funct_2(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_1512]) ).
tcf(c_1843,plain,
( m2_relset_1(k1_waybel34(sK7,sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK7))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(sK9)
| ~ m1_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
inference(instantiation,[status(thm)],[c_1553]) ).
tcf(c_4422,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)))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_441]) ).
tcf(c_4423,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))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_440]) ).
tcf(c_4424,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)))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_439]) ).
tcf(c_4425,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))))
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_438]) ).
tcf(c_4426,plain,
( v1_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ l1_orders_2(sK7)
| ~ l1_orders_2(sK8)
| ~ v3_lattice3(sK7)
| ~ v3_lattice3(sK8)
| ~ v2_lattice3(sK7)
| ~ v2_lattice3(sK8)
| ~ v1_lattice3(sK7)
| ~ v1_lattice3(sK8)
| ~ v4_orders_2(sK7)
| ~ v4_orders_2(sK8)
| ~ v3_orders_2(sK7)
| ~ v3_orders_2(sK8)
| ~ v2_orders_2(sK7)
| ~ v2_orders_2(sK8)
| ~ v2_waybel_8(sK8)
| ~ v1_funct_1(k1_waybel34(sK7,sK8,sK9))
| ~ v3_waybel34(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ v18_waybel_0(k1_waybel34(sK7,sK8,sK9),sK8,sK7)
| ~ 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(instantiation,[status(thm)],[c_435]) ).
fof(f380,definition,
! [X0] :
( sP5(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) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f381,definition,
! [X0] :
( ~ sP6(X0)
| ( v2_waybel_8(X0)
<=> sP5(X0) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f382,plain,
! [X0] :
( ~ 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(definition_folding,[],[f368,f381,f380]) ).
fof(f427,plain,
! [X0] :
( ( ~ sP5(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) ) )
& ( ? [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)
| sP5(X0) ) ),
inference(nnf_transformation,[],[f380]) ).
fof(f428,plain,
! [X0] :
( ( ~ sP5(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) ) )
& ( ? [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)
| sP5(X0) ) ),
inference(flattening,[],[f427]) ).
fof(f429,plain,
! [X0] :
( ( ~ sP5(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& r3_orders_2(X0,X6,X5)
& r3_orders_2(X0,X4,X6)
& r2_hidden(X6,u1_struct_0(k1_waybel_8(X0))) )
| ~ r1_waybel_3(X0,X4,X5) ) )
& v3_waybel_3(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)
| sP5(X0) ) ),
inference(rectify,[],[f428]) ).
fof(f430,plain,
! [X0] :
( ( ~ sP5(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( m1_subset_1(sK42(X0,X4,X5),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))) )
| ~ r1_waybel_3(X0,X4,X5) ) )
& v3_waybel_3(X0) ) )
& ( ( m1_subset_1(sK40(X0),u1_struct_0(X0))
& m1_subset_1(sK41(X0),u1_struct_0(X0))
& ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_orders_2(X0,X3,sK41(X0))
| ~ r3_orders_2(X0,sK40(X0),X3)
| ~ r2_hidden(X3,u1_struct_0(k1_waybel_8(X0))) )
& r1_waybel_3(X0,sK40(X0),sK41(X0)) )
| ~ v3_waybel_3(X0)
| sP5(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X6,sK42(X0,X4,X5))],[f429]) ).
fof(f880,plain,
! [X0] :
( ~ sP5(X0)
| v3_waybel_3(X0) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_449,plain,
! [X0: $i] :
( v3_waybel_3(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f880]) ).
tcf(c_458,plain,
( v3_waybel_3(sK8)
| ~ sP5(sK8) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_4628,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4422,c_4423,c_4424,c_4425,c_4426,c_1843,c_1842,c_1841,c_1796,c_1757,c_1756,c_1633,c_1608,c_1132,c_49,c_51,c_53,c_52,c_596,c_50,c_520,c_55,c_57,c_458,c_56,c_54,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_71,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Wed Sep 23 21:29:34 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 19.95/3.98 % SZS status Started for theBenchmark.p
% 19.95/3.98 % SZS status Theorem for theBenchmark.p
% 19.95/3.98
% 19.95/3.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 19.95/3.98
% 19.95/3.98 % ------ iProver source info
% 19.95/3.98
% 19.95/3.98 % git: date: 2026-07-19 20:42:38 +0200
% 19.95/3.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 19.95/3.98 % git: non_committed_changes: false
% 19.95/3.98
% 19.95/3.98 % ------ Parsing...
% 19.95/3.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 19.95/3.98
% 19.95/3.98 % ------ Preprocessing... sup_sim: 0 sf_s rm: 52 0s sf_e sup_sim: 0 sf_s rm: 8 0s sf_e %
% 19.95/3.98
% 19.95/3.98 % ------ Preprocessing...%
% 19.95/3.98
% 19.95/3.98 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.95/3.98 % ------ Proving...
% 19.95/3.98 % ------ Problem Properties
% 19.95/3.98
% 19.95/3.98 %
% 19.95/3.98 % clauses 337
% 19.95/3.98 % conjectures 45
% 19.95/3.98 % EPR 177
% 19.95/3.98 % Horn 242
% 19.95/3.98 % unary 94
% 19.95/3.98 % binary 83
% 19.95/3.98 % lits 1507
% 19.95/3.98 % lits eq 8
% 19.95/3.98 % fd_pure 0
% 19.95/3.98 % fd_pseudo 0
% 19.95/3.98 % fd_cond 1
% 19.95/3.98 % fd_pseudo_cond 3
% 19.95/3.98 % AC symbols 0
% 19.95/3.98
% 19.95/3.98 % ------ Input Options Time Limit: Unbounded
% 19.95/3.98
% 19.95/3.98
% 19.95/3.98 % ------
% 19.95/3.98 % Current options:
% 19.95/3.98 % ------
% 19.95/3.98
% 19.95/3.98
% 19.95/3.98 %
% 19.95/3.98
% 19.95/3.98 % ------ Proving...
% 19.95/3.98 %
% 19.95/3.98
% 19.95/3.98 % SZS status Theorem for theBenchmark.p
% 19.95/3.98
% 19.95/3.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.95/3.99
% 19.95/3.99
%------------------------------------------------------------------------------