%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT352+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 : n004.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 01:59:28 PM UTC 2026
% Result : Theorem 4.78s 2.21s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 211 ( 80 unt; 8 def)
% Number of atoms : 1737 ( 42 equ)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 2317 (1007 ~;1046 |; 215 &)
% ( 10 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 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 ( 31 usr; 9 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 271 ( 0 sgn 260 !; 11 ?; 78 :)
% 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] :
( ( 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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_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] :
( ( 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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) = k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[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(f26,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& l1_orders_2(X0)
& v2_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel21) ).
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(f40,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [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) )
=> ( v21_waybel_0(X2,X0,X1)
& v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_waybel_0) ).
fof(f45,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) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> 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] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& X1 = k2_yellow_0(X0,X2)
& r2_yellow_0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_waybel_1) ).
fof(f52,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(f63,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,u1_struct_0(X1))
& v1_funct_2(X2,X0,u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_yellow_2) ).
fof(f64,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f90,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(f121,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(f123,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] :
( ( 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) )
=> ! [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) )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_1) ).
fof(f142,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [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) )
=> ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f156,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)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f157,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)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& k7_yellow_2(u1_struct_0(X1),X0,k1_waybel34(X0,X1,X2),X3) != k2_yellow_0(X0,k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X3))) ) ) ) ),
inference(flattening,[],[f156]) ).
fof(f181,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f182,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f181]) ).
fof(f189,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f190,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f189]) ).
fof(f191,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,[],[f27]) ).
fof(f192,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,[],[f191]) ).
fof(f199,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f200,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f199]) ).
fof(f212,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [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)
| ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f142]) ).
fof(f213,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [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)
| ( v19_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f212]) ).
fof(f220,plain,
! [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)
| ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f221,plain,
! [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)
| ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& X1 = k2_yellow_0(X0,X2)
& r2_yellow_0(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f223,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( r3_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k2_yellow_0(X0,X2),X2)
& X1 = k2_yellow_0(X0,X2)
& r2_yellow_0(X0,X2) ) ) ) ),
inference(flattening,[],[f222]) ).
fof(f226,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,[],[f52]) ).
fof(f227,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,[],[f226]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(flattening,[],[f235]) ).
fof(f237,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f257,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f90]) ).
fof(f258,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f257]) ).
fof(f293,plain,
! [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] :
( ~ 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)
| ! [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)
| ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f294,plain,
! [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] :
( ~ 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)
| ! [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)
| ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) ) ) ) ) ),
inference(flattening,[],[f293]) ).
fof(f309,plain,
( 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)
& 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)
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v17_waybel_0(sK4,sK2,sK3)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4)
& m1_subset_1(sK5,u1_struct_0(sK3))
& k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f157]) ).
fof(f312,plain,
! [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) )
& ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| X3 = k1_waybel34(X0,X1,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f313,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( ~ r3_waybel_1(X0,X1,X2)
| ( r2_hidden(k2_yellow_0(X0,X2),X2)
& X1 = k2_yellow_0(X0,X2)
& r2_yellow_0(X0,X2) ) )
& ( ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2)
| r3_waybel_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f314,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( ~ r3_waybel_1(X0,X1,X2)
| ( r2_hidden(k2_yellow_0(X0,X2),X2)
& X1 = k2_yellow_0(X0,X2)
& r2_yellow_0(X0,X2) ) )
& ( ~ r2_hidden(k2_yellow_0(X0,X2),X2)
| k2_yellow_0(X0,X2) != X1
| ~ r2_yellow_0(X0,X2)
| r3_waybel_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f313]) ).
fof(f337,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,[],[f121]) ).
fof(f338,plain,
! [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] :
( ~ 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)
| ! [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)
| ( ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
| ~ v5_orders_3(X2,X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f339,plain,
! [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] :
( ~ 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)
| ! [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)
| ( ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
& v5_orders_3(X2,X0,X1) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
| ~ v5_orders_3(X2,X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(flattening,[],[f338]) ).
fof(f340,plain,
! [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] :
( ~ 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)
| ! [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)
| ( ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5))) )
& v5_orders_3(X2,X0,X1) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4))) )
| ~ v5_orders_3(X2,X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(rectify,[],[f339]) ).
fof(f341,plain,
! [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] :
( ~ 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)
| ! [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)
| ( ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5))) )
& v5_orders_3(X2,X0,X1) ) )
& ( ( m1_subset_1(sK28(X0,X1,X2,X3),u1_struct_0(X1))
& ~ r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,sK28(X0,X1,X2,X3)),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,sK28(X0,X1,X2,X3)))) )
| ~ v5_orders_3(X2,X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X4,sK28(X0,X1,X2,X3))],[f340]) ).
fof(f342,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f343,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f344,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f345,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f346,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f347,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f348,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f349,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f350,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f351,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f352,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f353,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f354,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f355,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f356,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f309]) ).
fof(f357,plain,
v17_waybel_0(sK4,sK2,sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f358,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f309]) ).
fof(f359,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f309]) ).
fof(f360,plain,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f309]) ).
fof(f361,plain,
k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))),
inference(cnf_transformation,[],[f309]) ).
fof(f422,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v5_orders_3(X2,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f434,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f457,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f471,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v19_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f483,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(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))
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f312]) ).
fof(f487,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_waybel_1(X0,X1,X2)
| k2_yellow_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f314]) ).
fof(f491,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,[],[f227]) ).
fof(f492,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,[],[f227]) ).
fof(f493,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,[],[f227]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f499,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f536,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f634,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f337]) ).
fof(f637,plain,
! [X2,X3,X0,X1,X5] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(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(X2)
| ~ 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)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X5),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X5))) ),
inference(cnf_transformation,[],[f341]) ).
fof(f639,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(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(X2)
| ~ 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)
| m1_subset_1(sK28(X0,X1,X2,X3),u1_struct_0(X1))
| ~ v5_orders_3(X2,X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f650,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(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))
| ~ 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)
| ~ 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))
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(equality_resolution,[],[f483]) ).
tcf(c_49,negated_conjecture,
k7_yellow_2(u1_struct_0(sK3),sK2,k1_waybel34(sK2,sK3,sK4),sK5) != k2_yellow_0(sK2,k5_pre_topc(sK2,sK3,sK4,k7_waybel_0(sK3,sK5))),
inference(cnf_transformation,[],[f361]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f360]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f359]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f358]) ).
tcf(c_53,negated_conjecture,
v17_waybel_0(sK4,sK2,sK3),
inference(cnf_transformation,[],[f357]) ).
tcf(c_54,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f356]) ).
tcf(c_55,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f355]) ).
tcf(c_56,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f354]) ).
tcf(c_57,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f353]) ).
tcf(c_58,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f352]) ).
tcf(c_59,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f351]) ).
tcf(c_60,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f350]) ).
tcf(c_61,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f349]) ).
tcf(c_62,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f348]) ).
tcf(c_63,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f347]) ).
tcf(c_64,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f346]) ).
tcf(c_65,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f345]) ).
tcf(c_66,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f344]) ).
tcf(c_67,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f343]) ).
tcf(c_68,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f342]) ).
tcf(c_118,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_orders_3(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_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)
| ~ v19_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,[],[f430]) ).
tcf(c_125,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_146,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v19_waybel_0(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_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,[],[f471]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,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)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ 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)) ),
inference(cnf_transformation,[],[f650]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_yellow_0(X0,X2) = X1 )
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_waybel_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_170,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,[],[f493]) ).
tcf(c_171,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,[],[f492]) ).
tcf(c_172,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,[],[f491]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k7_yellow_2(X1,X2,X0,X3),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_178,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_215,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f634]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_subset_1(sK28(X1,X2,X0,X3),u1_struct_0(X2))
| v3_waybel_1(k1_waybel_1(X1,X2,X0,X3),X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(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(X3)
| ~ v1_funct_1(X0)
| ~ v5_orders_3(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f639]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(X1),X0,X3,X4),k5_pre_topc(X0,X1,X2,k7_waybel_0(X1,X4)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(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(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,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))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_395,plain,
( ~ v3_struct_0(sK3)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,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(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))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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_164,c_146,c_125,c_164]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,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)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ 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)) ),
inference(renaming,[status(thm)],[c_544]) ).
tcf(c_7632,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v19_waybel_0(X2,X1,X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( X2 != sK4 )
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_157]) ).
tcf(c_7633,plain,
( v3_struct_0(sK2)
| v3_struct_0(sK3)
| v19_waybel_0(sK4,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_7632]) ).
tcf(c_7634,plain,
( v3_struct_0(sK2)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| v19_waybel_0(sK4,sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_7633,c_68,c_61,c_59,c_51,c_52,c_395,c_7633]) ).
tcf(c_7635,plain,
( v3_struct_0(sK2)
| v19_waybel_0(sK4,sK2,sK3)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(renaming,[status(thm)],[c_7634]) ).
tcf(c_7651,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X1,X0,X2,k1_waybel34(X1,X0,X2)),X1,X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ 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)
| ~ v1_funct_1(k1_waybel34(X1,X0,X2))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X1,X0,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_waybel34(X1,X0,X2),u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK4 )
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_545]) ).
tcf(c_7652,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ 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(sK4)
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7651]) ).
tcf(c_7653,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,k1_waybel34(sK2,sK3,sK4)),sK2,sK3)
| ~ v1_funct_1(k1_waybel34(sK2,sK3,sK4))
| ~ m2_relset_1(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k1_waybel34(sK2,sK3,sK4),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_7652,c_68,c_67,c_66,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_51,c_54,c_52,c_7652]) ).
tcf(c_8124,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK2)
| v5_orders_3(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_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(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ( X2 != sK3 )
| ( X1 != sK2 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_124,c_7635]) ).
tcf(c_8125,plain,
( v3_struct_0(sK2)
| v5_orders_3(sK4,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK2)
| ~ v2_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(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_8124]) ).
tcf(c_8126,plain,
( v3_struct_0(sK2)
| v5_orders_3(sK4,sK2,sK3)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_8125,c_68,c_66,c_64,c_63,c_62,c_61,c_59,c_57,c_56,c_55,c_51,c_52,c_8125]) ).
tcf(c_15303,definition,
iPr_def_10 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_15304,definition,
iPr_def_11 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_15305,definition,
iPr_def_12 = k1_waybel34(sK2,sK3,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_15306,definition,
iPr_def_13 = k1_waybel_1(sK2,sK3,sK4,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_15307,definition,
iPr_def_14 = k7_yellow_2(iPr_def_11,sK2,iPr_def_12,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_15308,definition,
iPr_def_15 = k7_waybel_0(sK3,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_15309,definition,
iPr_def_16 = k5_pre_topc(sK2,sK3,sK4,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_15310,definition,
iPr_def_17 = k2_yellow_0(sK2,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_15311,plain,
( v3_struct_0(sK2)
| v5_orders_3(sK4,sK2,sK3)
| ~ m1_relset_1(sK4,iPr_def_10,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_8126,c_15304,c_15303]) ).
tcf(c_15313,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_7653,c_15306]) ).
tcf(c_15314,negated_conjecture,
l1_orders_2(sK2),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_15316,negated_conjecture,
v2_lattice3(sK2),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_15317,negated_conjecture,
v1_lattice3(sK2),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_15318,negated_conjecture,
v4_orders_2(sK2),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_15319,negated_conjecture,
v3_orders_2(sK2),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_15320,negated_conjecture,
v2_orders_2(sK2),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_15321,negated_conjecture,
l1_orders_2(sK3),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_15323,negated_conjecture,
v2_lattice3(sK3),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_15324,negated_conjecture,
v1_lattice3(sK3),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_15325,negated_conjecture,
v4_orders_2(sK3),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_15326,negated_conjecture,
v3_orders_2(sK3),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_15327,negated_conjecture,
v2_orders_2(sK3),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_15328,negated_conjecture,
m2_relset_1(sK4,iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_15329,negated_conjecture,
v1_funct_2(sK4,iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_15330,negated_conjecture,
v1_funct_1(sK4),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_15331,negated_conjecture,
m1_subset_1(sK5,iPr_def_11),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_15332,negated_conjecture,
iPr_def_14 != iPr_def_17,
inference(demodulation,[status(thm)],[c_49,c_15308,c_15309,c_15310,c_15307]) ).
tcf(c_18977,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_15321,c_178]) ).
tcf(c_18978,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_15314,c_178]) ).
tcf(c_19038,plain,
( ~ v3_struct_0(sK3)
| ~ v1_lattice3(sK3) ),
inference(superposition,[status(thm)],[c_15321,c_118]) ).
tcf(c_19039,plain,
( ~ v3_struct_0(sK2)
| ~ v1_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_15314,c_118]) ).
tcf(c_19044,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_19039,c_15317]) ).
tcf(c_19045,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_19038,c_15324]) ).
tcf(c_19046,plain,
( v5_orders_3(sK4,sK2,sK3)
| ~ m1_relset_1(sK4,iPr_def_10,iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15311,c_19044]) ).
tcf(c_19093,plain,
( v3_struct_0(sK3)
| ~ l1_struct_0(sK3)
| ~ v1_xboole_0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_15304,c_215]) ).
tcf(c_19096,plain,
~ v1_xboole_0(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_19093,c_19045,c_18977]) ).
tcf(c_19166,plain,
m1_relset_1(sK4,iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_15328,c_314]) ).
tcf(c_19167,plain,
v5_orders_3(sK4,sK2,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_19046,c_19166]) ).
tcf(c_19995,plain,
( v1_xboole_0(iPr_def_11)
| v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,u1_struct_0(sK2))
| ~ l1_struct_0(sK2)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_subset_1(sK5,iPr_def_11)
| ~ m1_relset_1(iPr_def_12,iPr_def_11,u1_struct_0(sK2))
| ~ v1_funct_2(iPr_def_12,iPr_def_11,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_15307,c_177]) ).
tcf(c_20000,plain,
( v1_xboole_0(iPr_def_11)
| v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,iPr_def_10)
| ~ l1_struct_0(sK2)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_subset_1(sK5,iPr_def_11)
| ~ m1_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_19995,c_15303]) ).
tcf(c_20001,plain,
( m1_subset_1(iPr_def_14,iPr_def_10)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20000,c_19096,c_19044,c_18978,c_15331]) ).
tcf(c_21997,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_waybel34(X1,sK3,X0))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),iPr_def_11)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_15304,c_170]) ).
tcf(c_22011,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_waybel34(X1,sK3,X0))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),iPr_def_11)
| ~ v1_funct_2(X0,u1_struct_0(X1),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_21997,c_15304]) ).
tcf(c_22012,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_waybel34(X1,sK3,X0))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),iPr_def_11)
| ~ v1_funct_2(X0,u1_struct_0(X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22011,c_15321,c_15323,c_15324,c_15325,c_15326,c_15327]) ).
tcf(c_22310,plain,
( v1_funct_2(iPr_def_12,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ 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(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_15305,c_171]) ).
tcf(c_22316,plain,
( v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ 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(sK4)
| ~ m1_relset_1(sK4,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(sK4,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_22310,c_15303,c_15304]) ).
tcf(c_22317,plain,
v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_22316,c_15314,c_15321,c_15316,c_15323,c_15317,c_15324,c_15318,c_15325,c_15319,c_15326,c_15320,c_15327,c_15330,c_19166,c_15329]) ).
tcf(c_22385,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15313,c_22317]) ).
tcf(c_22429,plain,
( m2_relset_1(iPr_def_12,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ 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(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_15305,c_172]) ).
tcf(c_22435,plain,
( m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ 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(sK4)
| ~ m1_relset_1(sK4,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(sK4,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_22429,c_15303,c_15304]) ).
tcf(c_22436,plain,
m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_22435,c_15314,c_15321,c_15316,c_15323,c_15317,c_15324,c_15318,c_15325,c_15319,c_15326,c_15320,c_15327,c_15330,c_19166,c_15329]) ).
tcf(c_22591,plain,
( v3_struct_0(sK2)
| v3_struct_0(sK3)
| v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK28(sK2,sK3,sK4,iPr_def_12),u1_struct_0(sK3))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(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(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ v5_orders_3(sK4,sK2,sK3)
| ~ m2_relset_1(iPr_def_12,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(iPr_def_12,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_15306,c_317]) ).
tcf(c_22594,plain,
( v3_struct_0(sK2)
| v3_struct_0(sK3)
| v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK28(sK2,sK3,sK4,iPr_def_12),iPr_def_11)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(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(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ v5_orders_3(sK4,sK2,sK3)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ m2_relset_1(sK4,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(sK4,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_22591,c_15303,c_15304]) ).
tcf(c_22595,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK28(sK2,sK3,sK4,iPr_def_12),iPr_def_11)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22594,c_19044,c_19045,c_15314,c_15321,c_15318,c_15325,c_15319,c_15326,c_15320,c_15327,c_15330,c_19167,c_15328,c_15329]) ).
tcf(c_22609,plain,
m1_relset_1(iPr_def_12,iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_22436,c_314]) ).
tcf(c_22756,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12) ),
inference(global_subsumption_just,[status(thm)],[c_22595,c_22385,c_22436]) ).
tcf(c_22852,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK3)
| v3_struct_0(X0)
| r3_waybel_1(X0,k7_yellow_2(u1_struct_0(sK3),X0,X2,sK5),k5_pre_topc(X0,sK3,X1,iPr_def_15))
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ m2_relset_1(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ v1_funct_2(X2,u1_struct_0(sK3),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(X0,sK3,X1,X2),X0,sK3) ),
inference(superposition,[status(thm)],[c_15308,c_319]) ).
tcf(c_22855,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK3)
| v3_struct_0(X0)
| r3_waybel_1(X0,k7_yellow_2(iPr_def_11,X0,X2,sK5),k5_pre_topc(X0,sK3,X1,iPr_def_15))
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(sK5,iPr_def_11)
| ~ m2_relset_1(X2,iPr_def_11,u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),iPr_def_11)
| ~ v1_funct_2(X2,iPr_def_11,u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),iPr_def_11)
| ~ v3_waybel_1(k1_waybel_1(X0,sK3,X1,X2),X0,sK3) ),
inference(light_normalisation,[status(thm)],[c_22852,c_15304]) ).
tcf(c_22856,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_waybel_1(X0,k7_yellow_2(iPr_def_11,X0,X2,sK5),k5_pre_topc(X0,sK3,X1,iPr_def_15))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,iPr_def_11,u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),iPr_def_11)
| ~ v1_funct_2(X2,iPr_def_11,u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),iPr_def_11)
| ~ v3_waybel_1(k1_waybel_1(X0,sK3,X1,X2),X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22855,c_19045,c_15321,c_15325,c_15326,c_15327,c_15331]) ).
tcf(c_23556,plain,
! [X0: $i] :
( v1_funct_1(k1_waybel34(sK2,sK3,X0))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(X0,u1_struct_0(sK2),iPr_def_11) ),
inference(superposition,[status(thm)],[c_15303,c_22012]) ).
tcf(c_23557,plain,
! [X0: $i] :
( v1_funct_1(k1_waybel34(sK2,sK3,X0))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(X0,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_23556,c_15303]) ).
tcf(c_23558,plain,
! [X0: $i] :
( v1_funct_1(k1_waybel34(sK2,sK3,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(X0,iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23557,c_15314,c_15316,c_15317,c_15318,c_15319,c_15320]) ).
tcf(c_23655,plain,
( v1_funct_1(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(sK4,iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15305,c_23558]) ).
tcf(c_23656,plain,
v1_funct_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_23655,c_15330,c_19166,c_15329]) ).
tcf(c_23657,plain,
v3_waybel_1(iPr_def_13,sK2,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_22756,c_23656]) ).
tcf(c_25499,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| r3_waybel_1(sK2,k7_yellow_2(iPr_def_11,sK2,X0,sK5),iPr_def_16)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK4,u1_struct_0(sK2),iPr_def_11)
| ~ v1_funct_2(sK4,u1_struct_0(sK2),iPr_def_11)
| ~ m2_relset_1(X0,iPr_def_11,u1_struct_0(sK2))
| ~ v1_funct_2(X0,iPr_def_11,u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,X0),sK2,sK3) ),
inference(superposition,[status(thm)],[c_15309,c_22856]) ).
tcf(c_25502,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| r3_waybel_1(sK2,k7_yellow_2(iPr_def_11,sK2,X0,sK5),iPr_def_16)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK4,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(sK4,iPr_def_10,iPr_def_11)
| ~ m2_relset_1(X0,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(X0,iPr_def_11,iPr_def_10)
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,X0),sK2,sK3) ),
inference(light_normalisation,[status(thm)],[c_25499,c_15303]) ).
tcf(c_25503,plain,
! [X0: $i] :
( r3_waybel_1(sK2,k7_yellow_2(iPr_def_11,sK2,X0,sK5),iPr_def_16)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(X0,iPr_def_11,iPr_def_10)
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,sK4,X0),sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25502,c_19044,c_15314,c_15318,c_15319,c_15320,c_15330,c_15328,c_15329]) ).
tcf(c_25578,plain,
( r3_waybel_1(sK2,k7_yellow_2(iPr_def_11,sK2,iPr_def_12,sK5),iPr_def_16)
| ~ v1_funct_1(iPr_def_12)
| ~ v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_15306,c_25503]) ).
tcf(c_25579,plain,
( r3_waybel_1(sK2,iPr_def_14,iPr_def_16)
| ~ v1_funct_1(iPr_def_12)
| ~ v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ m2_relset_1(iPr_def_12,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_25578,c_15307]) ).
tcf(c_25580,plain,
r3_waybel_1(sK2,iPr_def_14,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_25579,c_23656,c_23657,c_22436,c_22317]) ).
tcf(c_25760,plain,
( v3_struct_0(sK2)
| ( k2_yellow_0(sK2,iPr_def_16) = iPr_def_14 )
| ~ l1_orders_2(sK2)
| ~ m1_subset_1(iPr_def_14,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_25580,c_167]) ).
tcf(c_25766,plain,
( v3_struct_0(sK2)
| ( iPr_def_14 = iPr_def_17 )
| ~ l1_orders_2(sK2)
| ~ m1_subset_1(iPr_def_14,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_25760,c_15303,c_15310]) ).
tcf(c_25767,plain,
~ m1_subset_1(iPr_def_14,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_25766,c_19044,c_15332,c_15314]) ).
tcf(c_25768,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25767,c_23656,c_22609,c_22317,c_20001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT352+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 21:17:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.78/2.21 % SZS status Started for theBenchmark.p
% 4.78/2.21 % SZS status Theorem for theBenchmark.p
% 4.78/2.21
% 4.78/2.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.78/2.21
% 4.78/2.21 % ------ iProver source info
% 4.78/2.21
% 4.78/2.21 % git: date: 2026-07-19 20:42:38 +0200
% 4.78/2.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.78/2.21 % git: non_committed_changes: false
% 4.78/2.21
% 4.78/2.21 % ------ Parsing...
% 4.78/2.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.78/2.21
% 4.78/2.21 % ------ Preprocessing... sup_sim: 1 sf_s rm: 108 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: 15 0s sf_e pe_s pe_e %
% 4.78/2.21
% 4.78/2.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.78/2.21
% 4.78/2.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.78/2.21 % ------ Proving...
% 4.78/2.21 % ------ Problem Properties
% 4.78/2.21
% 4.78/2.21 %
% 4.78/2.21 % clauses 139
% 4.78/2.21 % conjectures 19
% 4.78/2.21 % EPR 61
% 4.78/2.21 % Horn 96
% 4.78/2.21 % unary 57
% 4.78/2.21 % binary 17
% 4.78/2.21 % lits 604
% 4.78/2.21 % lits eq 20
% 4.78/2.21 % fd_pure 0
% 4.78/2.21 % fd_pseudo 0
% 4.78/2.21 % fd_cond 2
% 4.78/2.21 % fd_pseudo_cond 3
% 4.78/2.21 % AC symbols 0
% 4.78/2.21
% 4.78/2.21 % ------ Schedule dynamic 5 is on
% 4.78/2.21
% 4.78/2.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.78/2.21
% 4.78/2.21
% 4.78/2.21 % ------
% 4.78/2.21 % Current options:
% 4.78/2.21 % ------
% 4.78/2.21
% 4.78/2.21
% 4.78/2.21 %
% 4.78/2.21
% 4.78/2.21 % ------ Proving...
% 4.78/2.21 %
% 4.78/2.21
% 4.78/2.21 % SZS status Theorem for theBenchmark.p
% 4.78/2.21
% 4.78/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.78/2.21
% 4.78/2.21
%------------------------------------------------------------------------------