%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT353+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 : n016.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 10.50s 2.33s
% Output : CNFRefutation 10.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 211 ( 80 unt; 8 def)
% Number of atoms : 1750 ( 42 equ)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 2329 (1003 ~;1045 |; 229 &)
% ( 10 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 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 : 34 ( 32 usr; 9 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 280 ( 0 sgn 269 !; 11 ?; 84 :)
% 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(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) = k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_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(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) = k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,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(f25,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_orders_3(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ~ v1_xboole_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel17) ).
fof(f28,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(f33,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f41,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))
=> ( ( v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v20_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',cc7_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(X1),u1_struct_0(X0))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( ( v18_waybel_0(X2,X1,X0)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [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) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f47,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& X1 = k1_yellow_0(X0,X2)
& r1_yellow_0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel_1) ).
fof(f57,axiom,
! [X0,X1,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))
& 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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_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(f89,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(f122,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f124,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(X0))
=> r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_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))
=> ( ( v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f41]) ).
fof(f156,plain,
! [X0,X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
=> ( ( v22_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)
& ~ v1_xboole_0(X2) ) ) ) ),
inference(pure_predicate_removal,[],[f25]) ).
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(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3))) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f158,plain,
? [X0] :
( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ? [X2] :
( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k7_yellow_2(u1_struct_0(X0),X1,k2_waybel34(X0,X1,X2),X3) != k1_yellow_0(X1,k5_pre_topc(X1,X0,X2,k6_waybel_0(X0,X3))) ) ) ) ),
inference(flattening,[],[f157]) ).
fof(f182,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f183,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f188,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v22_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)
& ~ v1_xboole_0(X2) ) ) ),
inference(ennf_transformation,[],[f156]) ).
fof(f189,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v22_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)
& ~ v1_xboole_0(X2) ) ) ),
inference(flattening,[],[f188]) ).
fof(f194,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,[],[f28]) ).
fof(f195,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,[],[f194]) ).
fof(f202,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f203,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f202]) ).
fof(f215,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))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f142]) ).
fof(f216,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))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v22_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f215]) ).
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(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [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)
| ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f222,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(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [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)
| ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& X1 = k1_yellow_0(X0,X2)
& r1_yellow_0(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f224,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( r4_waybel_1(X0,X1,X2)
<=> ( r2_hidden(k1_yellow_0(X0,X2),X2)
& X1 = k1_yellow_0(X0,X2)
& r1_yellow_0(X0,X2) ) ) ) ),
inference(flattening,[],[f223]) ).
fof(f228,plain,
! [X0,X1,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))
| ~ 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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f229,plain,
! [X0,X1,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))
| ~ 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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
inference(flattening,[],[f228]) ).
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(ennf_transformation,[],[f63]) ).
fof(f237,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,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f256,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f257,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f256]) ).
fof(f296,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f297,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) ) ) ) ) ),
inference(flattening,[],[f296]) ).
fof(f312,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(sK3),u1_struct_0(sK2))
& v18_waybel_0(sK4,sK3,sK2)
& v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
& v1_funct_1(sK4)
& m1_subset_1(sK5,u1_struct_0(sK2))
& k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f158]) ).
fof(f315,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(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [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)
| ( ( k2_waybel34(X0,X1,X2) != X3
| v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
& ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| X3 = k2_waybel34(X0,X1,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f222]) ).
fof(f316,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( ~ r4_waybel_1(X0,X1,X2)
| ( r2_hidden(k1_yellow_0(X0,X2),X2)
& X1 = k1_yellow_0(X0,X2)
& r1_yellow_0(X0,X2) ) )
& ( ~ r2_hidden(k1_yellow_0(X0,X2),X2)
| k1_yellow_0(X0,X2) != X1
| ~ r1_yellow_0(X0,X2)
| r4_waybel_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f317,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ( ~ r4_waybel_1(X0,X1,X2)
| ( r2_hidden(k1_yellow_0(X0,X2),X2)
& X1 = k1_yellow_0(X0,X2)
& r1_yellow_0(X0,X2) ) )
& ( ~ r2_hidden(k1_yellow_0(X0,X2),X2)
| k1_yellow_0(X0,X2) != X1
| ~ r1_yellow_0(X0,X2)
| r4_waybel_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f316]) ).
fof(f341,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f342,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
| ~ v5_orders_3(X3,X1,X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(nnf_transformation,[],[f297]) ).
fof(f343,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
& v5_orders_3(X3,X1,X0) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
| ~ v5_orders_3(X3,X1,X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(flattening,[],[f342]) ).
fof(f344,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5))) )
& v5_orders_3(X3,X1,X0) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X4))) )
| ~ v5_orders_3(X3,X1,X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(rectify,[],[f343]) ).
fof(f345,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5))) )
& v5_orders_3(X3,X1,X0) ) )
& ( ( m1_subset_1(sK29(X0,X1,X2,X3),u1_struct_0(X0))
& ~ r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,sK29(X0,X1,X2,X3)),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,sK29(X0,X1,X2,X3)))) )
| ~ v5_orders_3(X3,X1,X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X4,sK29(X0,X1,X2,X3))],[f344]) ).
fof(f346,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f347,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f348,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f349,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f350,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f351,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f352,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f353,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f354,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f355,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f356,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f357,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f358,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f359,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f360,plain,
m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f312]) ).
fof(f361,plain,
v18_waybel_0(sK4,sK3,sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f362,plain,
v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f312]) ).
fof(f363,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f312]) ).
fof(f364,plain,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f312]) ).
fof(f365,plain,
k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))),
inference(cnf_transformation,[],[f312]) ).
fof(f426,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v22_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,[],[f189]) ).
fof(f443,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f466,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f478,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))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v22_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f487,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(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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)
| k2_waybel34(X0,X1,X2) != X3
| v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r4_waybel_1(X0,X1,X2)
| k1_yellow_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f317]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(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(k2_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f502,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,[],[f237]) ).
fof(f503,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f538,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f642,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f645,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(X0))
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X5),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,X5))) ),
inference(cnf_transformation,[],[f345]) ).
fof(f647,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(sK29(X0,X1,X2,X3),u1_struct_0(X0))
| ~ v5_orders_3(X3,X1,X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f345]) ).
fof(f658,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(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(equality_resolution,[],[f487]) ).
tcf(c_49,negated_conjecture,
k7_yellow_2(u1_struct_0(sK2),sK3,k2_waybel34(sK2,sK3,sK4),sK5) != k1_yellow_0(sK3,k5_pre_topc(sK3,sK2,sK4,k6_waybel_0(sK2,sK5))),
inference(cnf_transformation,[],[f365]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f364]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f363]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f362]) ).
tcf(c_53,negated_conjecture,
v18_waybel_0(sK4,sK3,sK2),
inference(cnf_transformation,[],[f361]) ).
tcf(c_54,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f360]) ).
tcf(c_55,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f359]) ).
tcf(c_56,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f358]) ).
tcf(c_57,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f357]) ).
tcf(c_58,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f356]) ).
tcf(c_59,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f355]) ).
tcf(c_60,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f354]) ).
tcf(c_61,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f353]) ).
tcf(c_62,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f352]) ).
tcf(c_63,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f351]) ).
tcf(c_64,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f350]) ).
tcf(c_65,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f349]) ).
tcf(c_66,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f348]) ).
tcf(c_67,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f347]) ).
tcf(c_68,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f346]) ).
tcf(c_118,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v5_orders_3(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v22_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_128,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_149,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v22_waybel_0(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v18_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,[],[f478]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f658]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_yellow_0(X0,X2) = X1 )
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r4_waybel_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k2_waybel34(X2,X1,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,[],[f498]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(k2_waybel34(X2,X1,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,[],[f497]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k2_waybel34(X2,X1,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,[],[f496]) ).
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,[],[f502]) ).
tcf(c_178,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_213,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f538]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_subset_1(sK29(X1,X2,X0,X3),u1_struct_0(X1))
| 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(X3,X2,X1)
| ~ 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,[],[f647]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X0),X1,X2,X4),k5_pre_topc(X1,X0,X3,k6_waybel_0(X0,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(X0))
| ~ 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,[],[f645]) ).
tcf(c_399,plain,
( ~ v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ 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_149,c_128,c_164]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_552]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X5)
| v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v5_orders_3(X1,X3,X5)
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X5)
| ~ v4_orders_2(X3)
| ~ v2_orders_2(X5)
| ~ v2_orders_2(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,X2,X4)
| ~ m1_relset_1(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X5))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X4))
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_158,c_123]) ).
tcf(c_6284,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v5_orders_3(X0,X1,X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v18_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(unflattening,[status(thm)],[c_6283]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),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)
| ~ v1_funct_1(k2_waybel34(X0,X1,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(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK4 )
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_553]) ).
tcf(c_7982,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),sK4),sK2,sK3)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v3_lattice3(sK3)
| ~ v3_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_7981]) ).
tcf(c_7983,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK3,k2_waybel34(sK2,sK3,sK4),sK4),sK2,sK3)
| ~ v1_funct_1(k2_waybel34(sK2,sK3,sK4))
| ~ m2_relset_1(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK3,sK4),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_7982,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_7982]) ).
tcf(c_7997,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_orders_3(X2,X1,X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_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 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_6284]) ).
tcf(c_7998,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v5_orders_3(sK4,sK3,sK2)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7997]) ).
tcf(c_7999,plain,
( v3_struct_0(sK3)
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| v5_orders_3(sK4,sK3,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_7998,c_68,c_66,c_64,c_62,c_61,c_57,c_55,c_51,c_52,c_399,c_7998]) ).
tcf(c_8000,plain,
( v3_struct_0(sK3)
| v5_orders_3(sK4,sK3,sK2)
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(renaming,[status(thm)],[c_7999]) ).
tcf(c_16089,definition,
iPr_def_10 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_16090,definition,
iPr_def_11 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_16091,definition,
iPr_def_12 = k2_waybel34(sK2,sK3,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_16092,definition,
iPr_def_13 = k1_waybel_1(sK2,sK3,iPr_def_12,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_16093,definition,
iPr_def_14 = k7_yellow_2(iPr_def_10,sK3,iPr_def_12,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_16094,definition,
iPr_def_15 = k6_waybel_0(sK2,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_16095,definition,
iPr_def_16 = k5_pre_topc(sK3,sK2,sK4,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_16096,definition,
iPr_def_17 = k1_yellow_0(sK3,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_16099,plain,
( v3_struct_0(sK3)
| v5_orders_3(sK4,sK3,sK2)
| ~ m1_relset_1(sK4,iPr_def_11,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_8000]) ).
tcf(c_16100,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_7983,c_16092]) ).
tcf(c_16101,negated_conjecture,
l1_orders_2(sK2),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_16103,negated_conjecture,
v2_lattice3(sK2),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_16104,negated_conjecture,
v1_lattice3(sK2),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_16105,negated_conjecture,
v4_orders_2(sK2),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_16106,negated_conjecture,
v3_orders_2(sK2),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_16107,negated_conjecture,
v2_orders_2(sK2),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_16108,negated_conjecture,
l1_orders_2(sK3),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_16110,negated_conjecture,
v2_lattice3(sK3),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_16111,negated_conjecture,
v1_lattice3(sK3),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_16112,negated_conjecture,
v4_orders_2(sK3),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_16113,negated_conjecture,
v3_orders_2(sK3),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_16114,negated_conjecture,
v2_orders_2(sK3),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_16115,negated_conjecture,
m2_relset_1(sK4,iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_16116,negated_conjecture,
v1_funct_2(sK4,iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_16117,negated_conjecture,
v1_funct_1(sK4),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_16118,negated_conjecture,
m1_subset_1(sK5,iPr_def_10),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_16119,negated_conjecture,
iPr_def_14 != iPr_def_17,
inference(demodulation,[status(thm)],[c_49,c_16094,c_16095,c_16096,c_16093]) ).
tcf(c_19821,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_16108,c_178]) ).
tcf(c_19822,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_16101,c_178]) ).
tcf(c_19882,plain,
( ~ v3_struct_0(sK3)
| ~ v1_lattice3(sK3) ),
inference(superposition,[status(thm)],[c_16108,c_118]) ).
tcf(c_19883,plain,
( ~ v3_struct_0(sK2)
| ~ v1_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_16101,c_118]) ).
tcf(c_19888,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_19883,c_16104]) ).
tcf(c_19889,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_19882,c_16111]) ).
tcf(c_19890,plain,
( v5_orders_3(sK4,sK3,sK2)
| ~ m1_relset_1(sK4,iPr_def_11,iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16099,c_19889]) ).
tcf(c_19944,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_16089,c_213]) ).
tcf(c_19947,plain,
~ v1_xboole_0(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_19944,c_19888,c_19822]) ).
tcf(c_20017,plain,
m1_relset_1(sK4,iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_16115,c_318]) ).
tcf(c_20019,plain,
v5_orders_3(sK4,sK3,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_19890,c_20017]) ).
tcf(c_20999,plain,
( v1_xboole_0(iPr_def_10)
| v3_struct_0(sK3)
| m1_subset_1(iPr_def_14,u1_struct_0(sK3))
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_subset_1(sK5,iPr_def_10)
| ~ m1_relset_1(iPr_def_12,iPr_def_10,u1_struct_0(sK3))
| ~ v1_funct_2(iPr_def_12,iPr_def_10,u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_16093,c_177]) ).
tcf(c_21004,plain,
( v1_xboole_0(iPr_def_10)
| v3_struct_0(sK3)
| m1_subset_1(iPr_def_14,iPr_def_11)
| ~ l1_struct_0(sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_subset_1(sK5,iPr_def_10)
| ~ m1_relset_1(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_20999,c_16090]) ).
tcf(c_21005,plain,
( m1_subset_1(iPr_def_14,iPr_def_11)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21004,c_19947,c_19889,c_19821,c_16118]) ).
tcf(c_23039,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k2_waybel34(sK2,X1,X0))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ 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_10)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_16089,c_171]) ).
tcf(c_23053,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k2_waybel34(sK2,X1,X0))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ 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_10)
| ~ v1_funct_2(X0,u1_struct_0(X1),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_23039,c_16089]) ).
tcf(c_23054,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k2_waybel34(sK2,X1,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_10)
| ~ v1_funct_2(X0,u1_struct_0(X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23053,c_16101,c_16103,c_16104,c_16105,c_16106,c_16107]) ).
tcf(c_23220,plain,
( v1_funct_2(iPr_def_12,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_16091,c_172]) ).
tcf(c_23226,plain,
( v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(sK4,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_23220,c_16089,c_16090]) ).
tcf(c_23227,plain,
v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_23226,c_16108,c_16101,c_16110,c_16103,c_16111,c_16104,c_16112,c_16105,c_16113,c_16106,c_16114,c_16107,c_16117,c_20017,c_16116]) ).
tcf(c_23295,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16100,c_23227]) ).
tcf(c_23444,plain,
( m2_relset_1(iPr_def_12,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_16091,c_173]) ).
tcf(c_23450,plain,
( m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(sK4,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_23444,c_16089,c_16090]) ).
tcf(c_23451,plain,
m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_23450,c_16108,c_16101,c_16110,c_16103,c_16111,c_16104,c_16112,c_16105,c_16113,c_16106,c_16114,c_16107,c_16117,c_20017,c_16116]) ).
tcf(c_23596,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK29(sK2,sK3,iPr_def_12,sK4),u1_struct_0(sK2))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ v5_orders_3(sK4,sK3,sK2)
| ~ m2_relset_1(iPr_def_12,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK4,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(iPr_def_12,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_16092,c_321]) ).
tcf(c_23599,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK29(sK2,sK3,iPr_def_12,sK4),iPr_def_10)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ v5_orders_3(sK4,sK3,sK2)
| ~ m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ m2_relset_1(sK4,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(sK4,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_23596,c_16089,c_16090]) ).
tcf(c_23600,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| m1_subset_1(sK29(sK2,sK3,iPr_def_12,sK4),iPr_def_10)
| ~ v1_funct_1(iPr_def_12)
| ~ m2_relset_1(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23599,c_19889,c_19888,c_16108,c_16101,c_16112,c_16105,c_16113,c_16106,c_16114,c_16107,c_16117,c_20019,c_16115,c_23227,c_16116]) ).
tcf(c_23653,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK2)
| v3_struct_0(X0)
| r4_waybel_1(X0,k7_yellow_2(u1_struct_0(sK2),X0,X1,sK5),k5_pre_topc(X0,sK2,X2,iPr_def_15))
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ 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(sK2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK2))
| ~ m2_relset_1(X1,u1_struct_0(sK2),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK2))
| ~ v1_funct_2(X1,u1_struct_0(sK2),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(sK2,X0,X1,X2),sK2,X0) ),
inference(superposition,[status(thm)],[c_16094,c_323]) ).
tcf(c_23656,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK2)
| v3_struct_0(X0)
| r4_waybel_1(X0,k7_yellow_2(iPr_def_10,X0,X1,sK5),k5_pre_topc(X0,sK2,X2,iPr_def_15))
| ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ 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_10)
| ~ m2_relset_1(X2,u1_struct_0(X0),iPr_def_10)
| ~ m2_relset_1(X1,iPr_def_10,u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),iPr_def_10)
| ~ v1_funct_2(X1,iPr_def_10,u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(sK2,X0,X1,X2),sK2,X0) ),
inference(light_normalisation,[status(thm)],[c_23653,c_16089]) ).
tcf(c_23657,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r4_waybel_1(X0,k7_yellow_2(iPr_def_10,X0,X1,sK5),k5_pre_topc(X0,sK2,X2,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,u1_struct_0(X0),iPr_def_10)
| ~ m2_relset_1(X1,iPr_def_10,u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),iPr_def_10)
| ~ v1_funct_2(X1,iPr_def_10,u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(sK2,X0,X1,X2),sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23656,c_19888,c_16101,c_16105,c_16106,c_16107,c_16118]) ).
tcf(c_23748,plain,
m1_relset_1(iPr_def_12,iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_23451,c_318]) ).
tcf(c_23772,plain,
( v3_waybel_1(iPr_def_13,sK2,sK3)
| ~ v1_funct_1(iPr_def_12) ),
inference(global_subsumption_just,[status(thm)],[c_23600,c_23295,c_23451]) ).
tcf(c_24642,plain,
! [X0: $i] :
( v1_funct_1(k2_waybel34(sK2,sK3,X0))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(X0,u1_struct_0(sK3),iPr_def_10) ),
inference(superposition,[status(thm)],[c_16090,c_23054]) ).
tcf(c_24643,plain,
! [X0: $i] :
( v1_funct_1(k2_waybel34(sK2,sK3,X0))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(X0,iPr_def_11,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_24642,c_16090]) ).
tcf(c_24644,plain,
! [X0: $i] :
( v1_funct_1(k2_waybel34(sK2,sK3,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(X0,iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24643,c_16108,c_16110,c_16111,c_16112,c_16113,c_16114]) ).
tcf(c_24743,plain,
( v1_funct_1(iPr_def_12)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(sK4,iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_16091,c_24644]) ).
tcf(c_24744,plain,
v1_funct_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_24743,c_16117,c_20017,c_16116]) ).
tcf(c_24745,plain,
v3_waybel_1(iPr_def_13,sK2,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_23772,c_24744]) ).
tcf(c_26565,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| r4_waybel_1(sK3,k7_yellow_2(iPr_def_10,sK3,X0,sK5),iPr_def_16)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK4,u1_struct_0(sK3),iPr_def_10)
| ~ v1_funct_2(sK4,u1_struct_0(sK3),iPr_def_10)
| ~ m2_relset_1(X0,iPr_def_10,u1_struct_0(sK3))
| ~ v1_funct_2(X0,iPr_def_10,u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,X0,sK4),sK2,sK3) ),
inference(superposition,[status(thm)],[c_16095,c_23657]) ).
tcf(c_26568,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| r4_waybel_1(sK3,k7_yellow_2(iPr_def_10,sK3,X0,sK5),iPr_def_16)
| ~ l1_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ~ v1_funct_1(sK4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK4,iPr_def_11,iPr_def_10)
| ~ v1_funct_2(sK4,iPr_def_11,iPr_def_10)
| ~ m2_relset_1(X0,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(X0,iPr_def_10,iPr_def_11)
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,X0,sK4),sK2,sK3) ),
inference(light_normalisation,[status(thm)],[c_26565,c_16090]) ).
tcf(c_26569,plain,
! [X0: $i] :
( r4_waybel_1(sK3,k7_yellow_2(iPr_def_10,sK3,X0,sK5),iPr_def_16)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,iPr_def_10,iPr_def_11)
| ~ v1_funct_2(X0,iPr_def_10,iPr_def_11)
| ~ v3_waybel_1(k1_waybel_1(sK2,sK3,X0,sK4),sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26568,c_19889,c_16108,c_16112,c_16113,c_16114,c_16117,c_16115,c_16116]) ).
tcf(c_26625,plain,
( r4_waybel_1(sK3,k7_yellow_2(iPr_def_10,sK3,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_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_16092,c_26569]) ).
tcf(c_26626,plain,
( r4_waybel_1(sK3,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_10,iPr_def_11)
| ~ v1_funct_2(iPr_def_12,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_26625,c_16093]) ).
tcf(c_26627,plain,
r4_waybel_1(sK3,iPr_def_14,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_26626,c_24744,c_24745,c_23451,c_23227]) ).
tcf(c_26757,plain,
( v3_struct_0(sK3)
| ( k1_yellow_0(sK3,iPr_def_16) = iPr_def_14 )
| ~ l1_orders_2(sK3)
| ~ m1_subset_1(iPr_def_14,u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_26627,c_167]) ).
tcf(c_26763,plain,
( v3_struct_0(sK3)
| ( iPr_def_14 = iPr_def_17 )
| ~ l1_orders_2(sK3)
| ~ m1_subset_1(iPr_def_14,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_26757,c_16090,c_16096]) ).
tcf(c_26764,plain,
~ m1_subset_1(iPr_def_14,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_26763,c_19889,c_16119,c_16108]) ).
tcf(c_26765,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26764,c_24744,c_23748,c_23227,c_21005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT353+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n016.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Wed Sep 23 21:22:41 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 0.15/0.47
% 0.15/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.47
% 0.15/0.47 % Detected problem language: tptp
% 0.21/0.48 % Proving...
% 10.50/2.33 % SZS status Started for theBenchmark.p
% 10.50/2.33 % SZS status Theorem for theBenchmark.p
% 10.50/2.33
% 10.50/2.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.50/2.33
% 10.50/2.33 % ------ iProver source info
% 10.50/2.33
% 10.50/2.33 % git: date: 2026-07-19 20:42:38 +0200
% 10.50/2.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.50/2.33 % git: non_committed_changes: false
% 10.50/2.33
% 10.50/2.33 % ------ Parsing...
% 10.50/2.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.50/2.33
% 10.50/2.33 % ------ Preprocessing... sup_sim: 1 sf_s rm: 110 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 %
% 10.50/2.33
% 10.50/2.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.50/2.33
% 10.50/2.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.50/2.33 % ------ Proving...
% 10.50/2.33 % ------ Problem Properties
% 10.50/2.33
% 10.50/2.33 %
% 10.50/2.33 % clauses 142
% 10.50/2.33 % conjectures 19
% 10.50/2.33 % EPR 62
% 10.50/2.33 % Horn 98
% 10.50/2.33 % unary 57
% 10.50/2.33 % binary 17
% 10.50/2.33 % lits 615
% 10.50/2.33 % lits eq 20
% 10.50/2.33 % fd_pure 0
% 10.50/2.33 % fd_pseudo 0
% 10.50/2.33 % fd_cond 2
% 10.50/2.33 % fd_pseudo_cond 3
% 10.50/2.33 % AC symbols 0
% 10.50/2.33
% 10.50/2.33 % ------ Schedule dynamic 5 is on
% 10.50/2.33
% 10.50/2.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.50/2.33
% 10.50/2.33
% 10.50/2.33 % ------
% 10.50/2.33 % Current options:
% 10.50/2.33 % ------
% 10.50/2.33
% 10.50/2.33
% 10.50/2.33 %
% 10.50/2.33
% 10.50/2.33 % ------ Proving...
% 10.50/2.33 %
% 10.50/2.33
% 10.50/2.33 % SZS status Theorem for theBenchmark.p
% 10.50/2.33
% 10.50/2.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.50/2.34
% 10.50/2.34
%------------------------------------------------------------------------------