TSTP Solution File: LAT357+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : Thu Aug 31 06:18:08 EDT 2023
% Result : Theorem 23.36s 4.26s
% Output : CNFRefutation 23.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 189 ( 69 unt; 0 def)
% Number of atoms : 1695 ( 40 equ)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 2561 (1055 ~;1080 |; 378 &)
% ( 4 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 304 ( 0 sgn; 161 !; 35 ?)
% 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) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) = k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X1,X2,X4),k1_waybel34(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_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) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) = k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X1,X2,X4),k1_waybel34(X0,X1,X3)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f21,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f27,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(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f44,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(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))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( v17_waybel_0(X2,X0,X1)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f47,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(f55,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f56,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f79,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f106,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(f109,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ( v17_waybel_0(X4,X1,X2)
& v17_waybel_0(X3,X0,X1) )
=> v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_waybel20) ).
fof(f116,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X6) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1) )
=> v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel15) ).
fof(f142,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X1,X2,X4),k1_waybel34(X0,X1,X3))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(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,[],[f2]) ).
fof(f143,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X1,X2,X4),k1_waybel34(X0,X1,X3))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(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,[],[f142]) ).
fof(f167,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f168,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f167]) ).
fof(f177,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,[],[f27]) ).
fof(f178,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,[],[f177]) ).
fof(f185,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f186,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f185]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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,[],[f44]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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,[],[f204]) ).
fof(f206,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,[],[f47]) ).
fof(f207,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,[],[f206]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f230,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f231,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f230]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v17_waybel_0(X4,X1,X2)
| ~ v17_waybel_0(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_orders_2(X2)
| v3_struct_0(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v17_waybel_0(X4,X1,X2)
| ~ v17_waybel_0(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_orders_2(X2)
| v3_struct_0(X2) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f259]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6) )
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6) )
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5) )
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2) )
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f269]) ).
fof(f276,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X1,X2,X4),k1_waybel34(X0,X1,X3))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(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) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,X2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(sK2),k1_waybel34(X1,X2,X4),k1_waybel34(sK2,X1,X3))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(X1))
& v17_waybel_0(X3,sK2,X1)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(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(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,X2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(sK2),k1_waybel34(X1,X2,X4),k1_waybel34(sK2,X1,X3))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(X1))
& v17_waybel_0(X3,sK2,X1)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(X1))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(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) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,X2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,X2,X4),k1_waybel34(sK2,sK3,X3))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(X2))
& v17_waybel_0(X4,sK3,X2)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X3,sK2,sK3)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
& l1_orders_2(sK3)
& v3_lattice3(sK3)
& v2_lattice3(sK3)
& v1_lattice3(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,X2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,X2,X4),k1_waybel34(sK2,sK3,X3))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(X2))
& v17_waybel_0(X4,sK3,X2)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(X2))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X3,sK2,sK3)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X3) )
& l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),X3,X4)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,X4),k1_waybel34(sK2,sK3,X3))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(X4,sK3,sK4)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X3,sK2,sK3)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X3) )
& l1_orders_2(sK4)
& v3_lattice3(sK4)
& v2_lattice3(sK4)
& v1_lattice3(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK4)
& v2_orders_2(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X3] :
( ? [X4] :
( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),X3,X4)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,X4),k1_waybel34(sK2,sK3,X3))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(X4,sK3,sK4)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(X4) )
& m2_relset_1(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(X3,sK2,sK3)
& v1_funct_2(X3,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(X3) )
=> ( ? [X4] :
( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,X4)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,X4),k1_waybel34(sK2,sK3,sK5))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(X4,sK3,sK4)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(X4) )
& m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(sK5,sK2,sK3)
& v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X4] :
( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,X4)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,X4),k1_waybel34(sK2,sK3,sK5))
& m2_relset_1(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(X4,sK3,sK4)
& v1_funct_2(X4,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(X4) )
=> ( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))
& m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(sK6,sK3,sK4)
& v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))
& m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v17_waybel_0(sK6,sK3,sK4)
& v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(sK6)
& m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(sK5,sK2,sK3)
& v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK5)
& l1_orders_2(sK4)
& v3_lattice3(sK4)
& v2_lattice3(sK4)
& v1_lattice3(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK4)
& v2_orders_2(sK4)
& l1_orders_2(sK3)
& v3_lattice3(sK3)
& v2_lattice3(sK3)
& v1_lattice3(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f143,f280,f279,f278,f277,f276]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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(nnf_transformation,[],[f205]) ).
fof(f327,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,[],[f106]) ).
fof(f328,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f329,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f330,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f331,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f332,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f333,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f334,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f281]) ).
fof(f335,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f336,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f337,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f338,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f339,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f340,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f341,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f342,plain,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f343,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f344,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f345,plain,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f346,plain,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f347,plain,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f348,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f349,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f281]) ).
fof(f350,plain,
v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f281]) ).
fof(f351,plain,
v17_waybel_0(sK5,sK2,sK3),
inference(cnf_transformation,[],[f281]) ).
fof(f352,plain,
m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f281]) ).
fof(f353,plain,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f281]) ).
fof(f354,plain,
v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f281]) ).
fof(f355,plain,
v17_waybel_0(sK6,sK3,sK4),
inference(cnf_transformation,[],[f281]) ).
fof(f356,plain,
m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f281]) ).
fof(f357,plain,
k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),
inference(cnf_transformation,[],[f281]) ).
fof(f418,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f429,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f451,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f476,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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,[],[f284]) ).
fof(f477,plain,
! [X2,X3,X0,X1] :
( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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,[],[f284]) ).
fof(f479,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,[],[f207]) ).
fof(f480,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,[],[f207]) ).
fof(f481,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,[],[f207]) ).
fof(f483,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f484,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f485,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f486,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f522,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f612,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f327]) ).
fof(f616,plain,
! [X2,X3,X0,X1,X4] :
( v17_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
| ~ v17_waybel_0(X4,X1,X2)
| ~ v17_waybel_0(X3,X0,X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f623,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f626,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ 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))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(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))
| ~ 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(equality_resolution,[],[f476]) ).
cnf(c_49,negated_conjecture,
k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) != k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)),
inference(cnf_transformation,[],[f357]) ).
cnf(c_50,negated_conjecture,
m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f356]) ).
cnf(c_51,negated_conjecture,
v17_waybel_0(sK6,sK3,sK4),
inference(cnf_transformation,[],[f355]) ).
cnf(c_52,negated_conjecture,
v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f354]) ).
cnf(c_53,negated_conjecture,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f353]) ).
cnf(c_54,negated_conjecture,
m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f352]) ).
cnf(c_55,negated_conjecture,
v17_waybel_0(sK5,sK2,sK3),
inference(cnf_transformation,[],[f351]) ).
cnf(c_56,negated_conjecture,
v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f350]) ).
cnf(c_57,negated_conjecture,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f349]) ).
cnf(c_58,negated_conjecture,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f348]) ).
cnf(c_59,negated_conjecture,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f347]) ).
cnf(c_60,negated_conjecture,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f346]) ).
cnf(c_61,negated_conjecture,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f345]) ).
cnf(c_62,negated_conjecture,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f344]) ).
cnf(c_63,negated_conjecture,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f343]) ).
cnf(c_64,negated_conjecture,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f342]) ).
cnf(c_65,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f341]) ).
cnf(c_66,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f340]) ).
cnf(c_67,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f339]) ).
cnf(c_68,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f338]) ).
cnf(c_69,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f337]) ).
cnf(c_70,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f336]) ).
cnf(c_71,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f335]) ).
cnf(c_72,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f334]) ).
cnf(c_73,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f333]) ).
cnf(c_74,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f332]) ).
cnf(c_75,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f331]) ).
cnf(c_76,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f330]) ).
cnf(c_77,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f329]) ).
cnf(c_78,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f328]) ).
cnf(c_128,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_133,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_154,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_170,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ 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)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_171,plain,
( ~ 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))
| ~ 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(k1_waybel34(X0,X1,X2))
| ~ 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_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(cnf_transformation,[],[f626]) ).
cnf(c_172,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,[],[f481]) ).
cnf(c_173,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,[],[f480]) ).
cnf(c_174,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,[],[f479]) ).
cnf(c_176,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| m2_relset_1(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_177,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_2(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_178,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_1(k7_funct_2(X1,X2,X4,X0,X3))
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_179,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f486]) ).
cnf(c_215,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f522]) ).
cnf(c_306,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f612]) ).
cnf(c_309,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v17_waybel_0(X0,X1,X2)
| ~ v17_waybel_0(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X4)
| v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),X1,X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f616]) ).
cnf(c_316,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(X4,X0,X5,X6),X4,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X4),u1_struct_0(X0))
| ~ m2_relset_1(X6,u1_struct_0(X0),u1_struct_0(X4))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X4),u1_struct_0(X0))
| ~ v1_funct_2(X6,u1_struct_0(X0),u1_struct_0(X4))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X6)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X4)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X4)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X4)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X4)
| v3_waybel_1(k1_waybel_1(X4,X1,k7_funct_2(u1_struct_0(X4),u1_struct_0(X0),u1_struct_0(X1),X5,X2),k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X4),X3,X6)),X4,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| v3_struct_0(X4) ),
inference(cnf_transformation,[],[f623]) ).
cnf(c_327,plain,
( ~ l1_orders_2(sK3)
| l1_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_383,plain,
( ~ v1_xboole_0(u1_struct_0(sK3))
| ~ l1_struct_0(sK3)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_384,plain,
( ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_154]) ).
cnf(c_510,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,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)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(global_subsumption_just,[status(thm)],[c_170,c_128,c_133,c_170]) ).
cnf(c_511,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ 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)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(renaming,[status(thm)],[c_510]) ).
cnf(c_512,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_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_171,c_128,c_133,c_171]) ).
cnf(c_513,plain,
( ~ 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))
| ~ 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(k1_waybel34(X0,X1,X2))
| ~ 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_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(renaming,[status(thm)],[c_512]) ).
cnf(c_9732,plain,
X0 = X0,
theory(equality) ).
cnf(c_9734,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_13140,plain,
( ~ v1_lattice3(sK4)
| ~ v3_struct_0(sK4) ),
inference(superposition,[status(thm)],[c_58,c_128]) ).
cnf(c_13142,plain,
( ~ v1_lattice3(sK2)
| ~ v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_72,c_128]) ).
cnf(c_13147,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13142,c_75]) ).
cnf(c_13149,plain,
~ v3_struct_0(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_13140,c_61]) ).
cnf(c_13197,plain,
m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(superposition,[status(thm)],[c_50,c_306]) ).
cnf(c_13198,plain,
m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(superposition,[status(thm)],[c_54,c_306]) ).
cnf(c_15045,plain,
( ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK4)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v1_funct_1(k1_waybel34(sK3,sK4,sK6)) ),
inference(superposition,[status(thm)],[c_52,c_174]) ).
cnf(c_15046,plain,
( ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v1_funct_1(k1_waybel34(sK2,sK3,sK5)) ),
inference(superposition,[status(thm)],[c_56,c_174]) ).
cnf(c_15057,plain,
v1_funct_1(k1_waybel34(sK2,sK3,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_15046,c_71,c_78,c_70,c_77,c_69,c_76,c_68,c_75,c_67,c_74,c_65,c_72,c_57,c_13198]) ).
cnf(c_15058,plain,
v1_funct_1(k1_waybel34(sK3,sK4,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_15045,c_71,c_64,c_70,c_63,c_69,c_62,c_68,c_61,c_67,c_60,c_65,c_58,c_53,c_13197]) ).
cnf(c_15300,plain,
( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) != X0
| k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != X0
| k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) = k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) ),
inference(instantiation,[status(thm)],[c_9734]) ).
cnf(c_15999,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),X4)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_1(k7_funct_2(X1,u1_struct_0(X2),X4,X0,X3))
| v1_xboole_0(u1_struct_0(X2)) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_16286,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),X4)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| m2_relset_1(k7_funct_2(X1,u1_struct_0(X2),X4,X0,X3),X1,X4)
| v1_xboole_0(u1_struct_0(X2)) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_16337,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),X4)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X2),X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| v1_funct_2(k7_funct_2(X1,u1_struct_0(X2),X4,X0,X3),X1,X4)
| v1_xboole_0(u1_struct_0(X2)) ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_16588,plain,
( ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK4)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_16589,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| m2_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_16728,plain,
( ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK4)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_16729,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_16940,plain,
( ~ m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(X1))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v17_waybel_0(X0,sK3,X1)
| ~ v17_waybel_0(sK5,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| v17_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(X1),sK5,X0),sK2,X1)
| v3_struct_0(X1)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_309]) ).
cnf(c_17072,plain,
( ~ m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v17_waybel_0(sK6,sK3,sK4)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v3_lattice3(sK4)
| ~ v3_lattice3(sK3)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(sK3,sK4,sK6,k1_waybel34(sK3,sK4,sK6)),sK3,sK4) ),
inference(instantiation,[status(thm)],[c_513]) ).
cnf(c_17073,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK5))
| ~ v17_waybel_0(sK5,sK2,sK3)
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(sK2,sK3,sK5,k1_waybel34(sK2,sK3,sK5)),sK2,sK3) ),
inference(instantiation,[status(thm)],[c_513]) ).
cnf(c_17076,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,sK3,X1,X2),X0,sK3)
| ~ v3_waybel_1(k1_waybel_1(sK3,sK4,sK6,X3),sK3,sK4)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ m2_relset_1(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ v1_funct_2(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(X3,u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(X0,sK4,k7_funct_2(u1_struct_0(X0),u1_struct_0(sK3),u1_struct_0(sK4),X1,sK6),k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(X0),X3,X2)),X0,sK4)
| v3_struct_0(X0)
| v3_struct_0(sK4)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_316]) ).
cnf(c_19912,plain,
( ~ m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_306]) ).
cnf(c_19948,plain,
( ~ m2_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| m1_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_306]) ).
cnf(c_21402,plain,
( ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v17_waybel_0(sK5,sK2,sK3)
| ~ v17_waybel_0(sK6,sK3,sK4)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| v17_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),sK2,sK4)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_16940]) ).
cnf(c_21440,plain,
( ~ v3_waybel_1(k1_waybel_1(sK3,sK4,sK6,k1_waybel34(sK3,sK4,sK6)),sK3,sK4)
| ~ m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(X0,sK3,X1,X2),X0,sK3)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ m2_relset_1(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ v1_funct_2(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(X0,sK4,k7_funct_2(u1_struct_0(X0),u1_struct_0(sK3),u1_struct_0(sK4),X1,sK6),k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(X0),k1_waybel34(sK3,sK4,sK6),X2)),X0,sK4)
| v3_struct_0(X0)
| v3_struct_0(sK4)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_17076]) ).
cnf(c_26846,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK5)
| v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X1,sK5,X0))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_15999]) ).
cnf(c_26856,plain,
( ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(X0)
| v1_funct_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),X1,k1_waybel34(sK3,sK4,sK6),X0))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_15999]) ).
cnf(c_27164,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK5)
| m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X1,sK5,X0),u1_struct_0(sK2),X1)
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16286]) ).
cnf(c_27174,plain,
( ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(X0)
| m2_relset_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),X1,k1_waybel34(sK3,sK4,sK6),X0),u1_struct_0(sK4),X1)
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16286]) ).
cnf(c_27310,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK5)
| v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),X1,sK5,X0),u1_struct_0(sK2),X1)
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16337]) ).
cnf(c_27320,plain,
( ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(sK3),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK3),X1)
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(X0)
| v1_funct_2(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),X1,k1_waybel34(sK3,sK4,sK6),X0),u1_struct_0(sK4),X1)
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16337]) ).
cnf(c_34483,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),X0),sK2,sK4)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),sK2,sK4)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) = X0 ),
inference(instantiation,[status(thm)],[c_511]) ).
cnf(c_35046,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_26846]) ).
cnf(c_35539,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_27164]) ).
cnf(c_35558,plain,
( ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_27310]) ).
cnf(c_36617,plain,
( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))
| k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))
| k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) = k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) ),
inference(instantiation,[status(thm)],[c_15300]) ).
cnf(c_36618,plain,
k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),
inference(instantiation,[status(thm)],[c_9732]) ).
cnf(c_42172,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK5))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| v1_funct_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_26856]) ).
cnf(c_42619,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK5))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| m2_relset_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_27174]) ).
cnf(c_43112,plain,
( ~ v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m1_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK5))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| v1_funct_2(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_27320]) ).
cnf(c_43509,plain,
( ~ v3_waybel_1(k1_waybel_1(sK3,sK4,sK6,k1_waybel34(sK3,sK4,sK6)),sK3,sK4)
| ~ m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,sK5,X0),sK2,sK3)
| ~ m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),X0)),sK2,sK4)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_21440]) ).
cnf(c_53487,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK3,sK5,k1_waybel34(sK2,sK3,sK5)),sK2,sK3)
| ~ v3_waybel_1(k1_waybel_1(sK3,sK4,sK6,k1_waybel34(sK3,sK4,sK6)),sK3,sK4)
| ~ m2_relset_1(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK3,sK4,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK5))
| ~ v1_funct_1(k1_waybel34(sK3,sK4,sK6))
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| ~ v2_orders_2(sK3)
| v3_waybel_1(k1_waybel_1(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))),sK2,sK4)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_43509]) ).
cnf(c_61286,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5))),sK2,sK4)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v17_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),sK2,sK4)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK2)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| k1_waybel34(sK2,sK4,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k1_waybel34(sK3,sK4,sK6),k1_waybel34(sK2,sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_34483]) ).
cnf(c_61287,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_61286,c_53487,c_43112,c_42619,c_42172,c_36618,c_36617,c_35558,c_35539,c_35046,c_21402,c_19948,c_19912,c_17073,c_17072,c_16729,c_16728,c_16589,c_16588,c_15057,c_15058,c_13197,c_13198,c_13147,c_13149,c_49,c_384,c_383,c_50,c_52,c_54,c_56,c_327,c_51,c_55,c_53,c_57,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,c_73,c_74,c_75,c_76,c_77,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 08:43:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.36/4.26 % SZS status Started for theBenchmark.p
% 23.36/4.26 % SZS status Theorem for theBenchmark.p
% 23.36/4.26
% 23.36/4.26 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.36/4.26
% 23.36/4.26 ------ iProver source info
% 23.36/4.26
% 23.36/4.26 git: date: 2023-05-31 18:12:56 +0000
% 23.36/4.26 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.36/4.26 git: non_committed_changes: false
% 23.36/4.26 git: last_make_outside_of_git: false
% 23.36/4.26
% 23.36/4.26 ------ Parsing...
% 23.36/4.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.36/4.26
% 23.36/4.26 ------ Preprocessing... sup_sim: 1 sf_s rm: 98 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e
% 23.36/4.26
% 23.36/4.26 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.36/4.26
% 23.36/4.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.36/4.26 ------ Proving...
% 23.36/4.26 ------ Problem Properties
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26 clauses 133
% 23.36/4.26 conjectures 30
% 23.36/4.26 EPR 65
% 23.36/4.26 Horn 100
% 23.36/4.26 unary 64
% 23.36/4.26 binary 17
% 23.36/4.26 lits 564
% 23.36/4.26 lits eq 7
% 23.36/4.26 fd_pure 0
% 23.36/4.26 fd_pseudo 0
% 23.36/4.26 fd_cond 1
% 23.36/4.26 fd_pseudo_cond 2
% 23.36/4.26 AC symbols 0
% 23.36/4.26
% 23.36/4.26 ------ Schedule dynamic 5 is on
% 23.36/4.26
% 23.36/4.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26 ------
% 23.36/4.26 Current options:
% 23.36/4.26 ------
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26 ------ Proving...
% 23.36/4.26
% 23.36/4.26
% 23.36/4.26 % SZS status Theorem for theBenchmark.p
% 23.36/4.26
% 23.36/4.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.36/4.27
% 23.36/4.27
%------------------------------------------------------------------------------