%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT370+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 : Tue Sep 29 11:47:26 AM UTC 2026
% Result : Theorem 35.23s 7.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 29
% Syntax : Number of formulae : 324 ( 45 unt; 14 def)
% Number of atoms : 1999 ( 34 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 3062 (1387 ~;1407 |; 220 &)
% ( 18 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 50 ( 48 usr; 15 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 184 ( 0 sgn 180 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1257,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(f4952,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f5854,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f6864,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f7972,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_yellow_0(X1,X0)
=> l1_orders_2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f8260,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_yellow_2(X0,X1,X2) = u1_struct_0(k2_yellow_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_yellow_2) ).
fof(f8310,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_orders_2(k2_yellow_2(X0,X1,X2))
& v4_yellow_0(k2_yellow_2(X0,X1,X2),X1)
& m1_yellow_0(k2_yellow_2(X0,X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(f8331,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0) )
=> ( v1_funct_1(X1)
& ~ v1_xboole_0(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(X1,u1_struct_0(X0),u1_struct_0(X0))
& v6_waybel_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_1) ).
fof(f8338,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel_1(X0,X1,X2))
& v1_funct_1(k3_waybel_1(X0,X1,X2))
& v2_funct_1(k3_waybel_1(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v1_partfun1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v5_orders_3(k3_waybel_1(X0,X1,X2),k2_yellow_2(X0,X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel_1) ).
fof(f8453,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& m2_relset_1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(f10370,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
=> v22_waybel_0(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_waybel34) ).
fof(f10380,axiom,
! [X0,X1] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v6_waybel_1(X1,X0)
& m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( ~ v3_struct_0(k2_yellow_2(X0,X0,X1))
& v1_orders_2(k2_yellow_2(X0,X0,X1))
& v2_orders_2(k2_yellow_2(X0,X0,X1))
& v3_orders_2(k2_yellow_2(X0,X0,X1))
& v4_orders_2(k2_yellow_2(X0,X0,X1))
& v1_yellow_0(k2_yellow_2(X0,X0,X1))
& v2_yellow_0(k2_yellow_2(X0,X0,X1))
& v3_yellow_0(k2_yellow_2(X0,X0,X1))
& v4_yellow_0(k2_yellow_2(X0,X0,X1),X0)
& v24_waybel_0(k2_yellow_2(X0,X0,X1))
& v25_waybel_0(k2_yellow_2(X0,X0,X1))
& v1_lattice3(k2_yellow_2(X0,X0,X1))
& v2_lattice3(k2_yellow_2(X0,X0,X1))
& v3_lattice3(k2_yellow_2(X0,X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(f10387,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( v18_waybel_0(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
& v17_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
& k2_waybel34(k2_yellow_2(X0,X0,X1),X0,k2_waybel_1(X0,X0,X1)) = k3_waybel_1(X0,X0,X1)
& k1_waybel34(k2_yellow_2(X0,X0,X1),X0,k3_waybel_1(X0,X0,X1)) = k2_waybel_1(X0,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34) ).
fof(f10388,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
<=> v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34) ).
fof(f10391,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v3_waybel_3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( v1_waybel34(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
=> v4_waybel_0(k2_yellow_2(X0,X0,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_waybel34) ).
fof(f10392,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v3_waybel_3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( v1_waybel34(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
=> v4_waybel_0(k2_yellow_2(X0,X0,X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f10391]) ).
fof(f10592,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v22_waybel_0(X2,X0,X1)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10370]) ).
fof(f10593,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v22_waybel_0(X2,X0,X1)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10592]) ).
fof(f10611,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k2_yellow_2(X0,X0,X1))
& v1_orders_2(k2_yellow_2(X0,X0,X1))
& v2_orders_2(k2_yellow_2(X0,X0,X1))
& v3_orders_2(k2_yellow_2(X0,X0,X1))
& v4_orders_2(k2_yellow_2(X0,X0,X1))
& v1_yellow_0(k2_yellow_2(X0,X0,X1))
& v2_yellow_0(k2_yellow_2(X0,X0,X1))
& v3_yellow_0(k2_yellow_2(X0,X0,X1))
& v4_yellow_0(k2_yellow_2(X0,X0,X1),X0)
& v24_waybel_0(k2_yellow_2(X0,X0,X1))
& v25_waybel_0(k2_yellow_2(X0,X0,X1))
& v1_lattice3(k2_yellow_2(X0,X0,X1))
& v2_lattice3(k2_yellow_2(X0,X0,X1))
& v3_lattice3(k2_yellow_2(X0,X0,X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f10380]) ).
fof(f10612,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k2_yellow_2(X0,X0,X1))
& v1_orders_2(k2_yellow_2(X0,X0,X1))
& v2_orders_2(k2_yellow_2(X0,X0,X1))
& v3_orders_2(k2_yellow_2(X0,X0,X1))
& v4_orders_2(k2_yellow_2(X0,X0,X1))
& v1_yellow_0(k2_yellow_2(X0,X0,X1))
& v2_yellow_0(k2_yellow_2(X0,X0,X1))
& v3_yellow_0(k2_yellow_2(X0,X0,X1))
& v4_yellow_0(k2_yellow_2(X0,X0,X1),X0)
& v24_waybel_0(k2_yellow_2(X0,X0,X1))
& v25_waybel_0(k2_yellow_2(X0,X0,X1))
& v1_lattice3(k2_yellow_2(X0,X0,X1))
& v2_lattice3(k2_yellow_2(X0,X0,X1))
& v3_lattice3(k2_yellow_2(X0,X0,X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f10611]) ).
fof(f10625,plain,
! [X0] :
( ! [X1] :
( ( v18_waybel_0(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
& v17_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
& k2_waybel34(k2_yellow_2(X0,X0,X1),X0,k2_waybel_1(X0,X0,X1)) = k3_waybel_1(X0,X0,X1)
& k1_waybel34(k2_yellow_2(X0,X0,X1),X0,k3_waybel_1(X0,X0,X1)) = k2_waybel_1(X0,X0,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10387]) ).
fof(f10626,plain,
! [X0] :
( ! [X1] :
( ( v18_waybel_0(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
& v17_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
& k2_waybel34(k2_yellow_2(X0,X0,X1),X0,k2_waybel_1(X0,X0,X1)) = k3_waybel_1(X0,X0,X1)
& k1_waybel34(k2_yellow_2(X0,X0,X1),X0,k3_waybel_1(X0,X0,X1)) = k2_waybel_1(X0,X0,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10625]) ).
fof(f10627,plain,
! [X0] :
( ! [X1] :
( ( v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
<=> v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10388]) ).
fof(f10628,plain,
! [X0] :
( ! [X1] :
( ( v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
<=> v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10627]) ).
fof(f10633,plain,
? [X0] :
( ? [X1] :
( ~ v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
& v1_waybel34(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
& v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v3_waybel_3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10392]) ).
fof(f10634,plain,
? [X0] :
( ? [X1] :
( ~ v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
& v1_waybel34(k2_waybel_1(X0,X0,X1),X0,k2_yellow_2(X0,X0,X1))
& v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v7_waybel_1(X1,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v3_waybel_3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f10633]) ).
fof(f10635,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6864]) ).
fof(f10636,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10635]) ).
fof(f11330,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_yellow_2(X0,X1,X2) = u1_struct_0(k2_yellow_2(X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8260]) ).
fof(f11331,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_yellow_2(X0,X1,X2) = u1_struct_0(k2_yellow_2(X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f11330]) ).
fof(f11448,plain,
! [X0,X1,X2] :
( ( v1_orders_2(k2_yellow_2(X0,X1,X2))
& v4_yellow_0(k2_yellow_2(X0,X1,X2),X1)
& m1_yellow_0(k2_yellow_2(X0,X1,X2),X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f8310]) ).
fof(f11449,plain,
! [X0,X1,X2] :
( ( v1_orders_2(k2_yellow_2(X0,X1,X2))
& v4_yellow_0(k2_yellow_2(X0,X1,X2),X1)
& m1_yellow_0(k2_yellow_2(X0,X1,X2),X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11448]) ).
fof(f11505,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4952]) ).
fof(f11546,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& ~ v1_xboole_0(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(X1,u1_struct_0(X0),u1_struct_0(X0))
& v6_waybel_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8331]) ).
fof(f11547,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& ~ v1_xboole_0(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(X1,u1_struct_0(X0),u1_struct_0(X0))
& v6_waybel_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f11546]) ).
fof(f11586,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& m2_relset_1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f8453]) ).
fof(f11587,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& m2_relset_1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11586]) ).
fof(f11600,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel_1(X0,X1,X2))
& v1_funct_1(k3_waybel_1(X0,X1,X2))
& v2_funct_1(k3_waybel_1(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v1_partfun1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v5_orders_3(k3_waybel_1(X0,X1,X2),k2_yellow_2(X0,X1,X2),X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f8338]) ).
fof(f11601,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel_1(X0,X1,X2))
& v1_funct_1(k3_waybel_1(X0,X1,X2))
& v2_funct_1(k3_waybel_1(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel_1(X0,X1,X2))
& v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v1_partfun1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
& v5_orders_3(k3_waybel_1(X0,X1,X2),k2_yellow_2(X0,X1,X2),X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f11600]) ).
fof(f11604,plain,
! [X0] :
( ! [X1] :
( l1_orders_2(X1)
| ~ m1_yellow_0(X1,X0) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7972]) ).
fof(f11938,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5854]) ).
fof(f18020,plain,
! [X0] :
( ! [X1] :
( ( ( v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
| ~ v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0) )
& ( v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
| ~ v4_waybel_0(k2_yellow_2(X0,X0,X1),X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f10628]) ).
fof(f18024,plain,
( ~ v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
& v1_waybel34(k2_waybel_1(sK169,sK169,sK170),sK169,k2_yellow_2(sK169,sK169,sK170))
& v1_funct_1(sK170)
& v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
& v7_waybel_1(sK170,sK169)
& m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
& v2_orders_2(sK169)
& v3_orders_2(sK169)
& v4_orders_2(sK169)
& v1_lattice3(sK169)
& v2_lattice3(sK169)
& v3_lattice3(sK169)
& v3_waybel_3(sK169)
& l1_orders_2(sK169) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169,sK170]),skolemize(X0,sK169),skolemize(X1,sK170)],[f10634]) ).
fof(f18027,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,[],[f1257]) ).
fof(f20953,plain,
! [X2,X0,X1] :
( ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| v22_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10593]) ).
fof(f20984,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v3_lattice3(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f20985,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v2_lattice3(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f20986,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v1_lattice3(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f20993,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v4_orders_2(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f20994,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v3_orders_2(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f20995,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v6_waybel_1(X1,X0)
| v2_orders_2(k2_yellow_2(X0,X0,X1)) ),
inference(cnf_transformation,[],[f10612]) ).
fof(f21025,plain,
! [X0,X1] :
( ~ v3_lattice3(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| k2_waybel_1(X0,X0,X1) = k1_waybel34(k2_yellow_2(X0,X0,X1),X0,k3_waybel_1(X0,X0,X1))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10626]) ).
fof(f21027,plain,
! [X0,X1] :
( v17_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10626]) ).
fof(f21030,plain,
! [X0,X1] :
( ~ v3_lattice3(X0)
| ~ v22_waybel_0(k3_waybel_1(X0,X0,X1),k2_yellow_2(X0,X0,X1),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| v4_waybel_0(k2_yellow_2(X0,X0,X1),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18020]) ).
fof(f21042,plain,
l1_orders_2(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21043,plain,
v3_waybel_3(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21044,plain,
v3_lattice3(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21045,plain,
v2_lattice3(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21046,plain,
v1_lattice3(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21047,plain,
v4_orders_2(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21048,plain,
v3_orders_2(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21049,plain,
v2_orders_2(sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21050,plain,
m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169)),
inference(cnf_transformation,[],[f18024]) ).
fof(f21051,plain,
v7_waybel_1(sK170,sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21052,plain,
v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169)),
inference(cnf_transformation,[],[f18024]) ).
fof(f21053,plain,
v1_funct_1(sK170),
inference(cnf_transformation,[],[f18024]) ).
fof(f21054,plain,
v1_waybel34(k2_waybel_1(sK169,sK169,sK170),sK169,k2_yellow_2(sK169,sK169,sK170)),
inference(cnf_transformation,[],[f18024]) ).
fof(f21055,plain,
~ v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169),
inference(cnf_transformation,[],[f18024]) ).
fof(f21063,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f18027]) ).
fof(f21070,plain,
! [X0] :
( ~ v1_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10636]) ).
fof(f22651,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| k1_yellow_2(X0,X1,X2) = u1_struct_0(k2_yellow_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f11331]) ).
fof(f22824,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| m1_yellow_0(k2_yellow_2(X0,X1,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11449]) ).
fof(f22888,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11505]) ).
fof(f22970,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v7_waybel_1(X1,X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v6_waybel_1(X1,X0) ),
inference(cnf_transformation,[],[f11547]) ).
fof(f23046,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11587]) ).
fof(f23057,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_waybel_1(X0,X1,X2),u1_struct_0(k2_yellow_2(X0,X1,X2)),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11601]) ).
fof(f23060,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| v1_funct_1(k3_waybel_1(X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11601]) ).
fof(f23064,plain,
! [X0,X1] :
( ~ m1_yellow_0(X1,X0)
| l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f11604]) ).
fof(f23630,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f11938]) ).
fof(f40260,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(resolution,[],[f21044,f21030]) ).
fof(f40261,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40260,f21049]) ).
fof(f40263,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40261,f21048]) ).
fof(f40265,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40263,f21047]) ).
fof(f40267,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_lattice3(sK169)
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40265,f21046]) ).
fof(f40269,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40267,f21045]) ).
fof(f40271,plain,
! [X0] :
( ~ v22_waybel_0(k3_waybel_1(sK169,sK169,X0),k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,X0),sK169) ),
inference(forward_subsumption_resolution,[],[f40269,f21042]) ).
fof(f40273,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK169)
| k1_yellow_2(sK169,X1,X0) = u1_struct_0(k2_yellow_2(sK169,X1,X0)) ),
inference(resolution,[],[f22651,f21042]) ).
fof(f40275,definition,
( spl1970_490
<=> v3_struct_0(sK169) ),
introduced(definition,[new_symbols(definition,[spl1970_490])],[avatar_definition]) ).
fof(f40276,plain,
( v3_struct_0(sK169)
| ~ spl1970_490 ),
inference(avatar_component_clause,[],[f40275]) ).
fof(f40278,definition,
( spl1970_491
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k1_yellow_2(sK169,X1,X0) = u1_struct_0(k2_yellow_2(sK169,X1,X0))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1970_491])],[avatar_definition]) ).
fof(f40279,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X1)
| k1_yellow_2(sK169,X1,X0) = u1_struct_0(k2_yellow_2(sK169,X1,X0))
| ~ v1_funct_1(X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(X1)) )
| ~ spl1970_491 ),
inference(avatar_component_clause,[],[f40278]) ).
fof(f40280,plain,
( spl1970_490
| spl1970_491 ),
inference(avatar_split_clause,[],[f40273,f40278,f40275]) ).
fof(f40381,plain,
( ~ v3_struct_0(sK169)
| ~ l1_orders_2(sK169) ),
inference(resolution,[],[f21070,f21046]) ).
fof(f40383,plain,
( ~ l1_orders_2(sK169)
| ~ spl1970_490 ),
inference(forward_subsumption_resolution,[],[f40381,f40276]) ).
fof(f40384,plain,
( $false
| ~ spl1970_490 ),
inference(forward_subsumption_resolution,[],[f40383,f21042]) ).
fof(f40385,plain,
~ spl1970_490,
inference(avatar_contradiction_clause,[],[f40384]) ).
fof(f40394,plain,
~ v3_struct_0(sK169),
inference(forward_subsumption_resolution,[],[f40381,f21042]) ).
fof(f40399,plain,
( ! [X0] :
( k1_yellow_2(sK169,sK169,X0) = u1_struct_0(k2_yellow_2(sK169,sK169,X0))
| ~ v1_funct_1(X0)
| v3_struct_0(sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169)) )
| ~ spl1970_491 ),
inference(resolution,[],[f40279,f21042]) ).
fof(f40400,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| k1_yellow_2(sK169,sK169,X0) = u1_struct_0(k2_yellow_2(sK169,sK169,X0)) )
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40399,f40394]) ).
fof(f40422,plain,
( ~ v1_funct_1(sK170)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| u1_struct_0(k2_yellow_2(sK169,sK169,sK170)) = k1_yellow_2(sK169,sK169,sK170)
| ~ spl1970_491 ),
inference(resolution,[],[f40400,f21052]) ).
fof(f40423,plain,
( ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| u1_struct_0(k2_yellow_2(sK169,sK169,sK170)) = k1_yellow_2(sK169,sK169,sK170)
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40422,f21053]) ).
fof(f40424,plain,
( u1_struct_0(k2_yellow_2(sK169,sK169,sK170)) = k1_yellow_2(sK169,sK169,sK170)
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40423,f21050]) ).
fof(f40429,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(superposition,[],[f23046,f40424]) ).
fof(f40431,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(superposition,[],[f23057,f40424]) ).
fof(f40454,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(duplicate_literal_removal,[],[f40431]) ).
fof(f40456,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| v3_struct_0(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(duplicate_literal_removal,[],[f40429]) ).
fof(f40520,definition,
( spl1970_509
<=> v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_509])],[avatar_definition]) ).
fof(f40523,definition,
( spl1970_510
<=> v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_510])],[avatar_definition]) ).
fof(f40526,definition,
( spl1970_511
<=> v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_511])],[avatar_definition]) ).
fof(f40529,definition,
( spl1970_512
<=> v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_512])],[avatar_definition]) ).
fof(f40532,definition,
( spl1970_513
<=> v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_513])],[avatar_definition]) ).
fof(f40535,definition,
( spl1970_514
<=> v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
introduced(definition,[new_symbols(definition,[spl1970_514])],[avatar_definition]) ).
fof(f40573,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40454,f40394]) ).
fof(f40575,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40456,f40394]) ).
fof(f40580,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40573,f21042]) ).
fof(f40582,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40575,f21042]) ).
fof(f40587,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40580,f21053]) ).
fof(f40589,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40582,f21053]) ).
fof(f40594,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40587,f21052]) ).
fof(f40596,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ spl1970_491 ),
inference(forward_subsumption_resolution,[],[f40589,f21052]) ).
fof(f40602,definition,
( spl1970_524
<=> m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169)) ),
introduced(definition,[new_symbols(definition,[spl1970_524])],[avatar_definition]) ).
fof(f40603,plain,
( ~ m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| spl1970_524 ),
inference(avatar_component_clause,[],[f40602]) ).
fof(f40605,definition,
( spl1970_525
<=> v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169)) ),
introduced(definition,[new_symbols(definition,[spl1970_525])],[avatar_definition]) ).
fof(f40606,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ spl1970_525 ),
inference(avatar_component_clause,[],[f40605]) ).
fof(f40607,plain,
( ~ spl1970_524
| spl1970_525
| ~ spl1970_491 ),
inference(avatar_split_clause,[],[f40594,f40278,f40605,f40602]) ).
fof(f40613,definition,
( spl1970_527
<=> m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169)) ),
introduced(definition,[new_symbols(definition,[spl1970_527])],[avatar_definition]) ).
fof(f40614,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),u1_struct_0(sK169))
| ~ spl1970_527 ),
inference(avatar_component_clause,[],[f40613]) ).
fof(f40615,plain,
( ~ spl1970_524
| spl1970_527
| ~ spl1970_491 ),
inference(avatar_split_clause,[],[f40596,f40278,f40613,f40602]) ).
fof(f40639,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK169)
| m1_yellow_0(k2_yellow_2(X0,sK169,X1),sK169)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK169))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK169)) ),
inference(resolution,[],[f22824,f21042]) ).
fof(f40640,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m1_yellow_0(k2_yellow_2(X0,sK169,X1),sK169)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK169))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK169)) ),
inference(forward_subsumption_resolution,[],[f40639,f40394]) ).
fof(f40709,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(resolution,[],[f21025,f21044]) ).
fof(f40710,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40709,f21049]) ).
fof(f40711,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40710,f21048]) ).
fof(f40712,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40711,f21047]) ).
fof(f40713,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_lattice3(sK169)
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40712,f21046]) ).
fof(f40714,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(X0,sK169)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0))
| ~ l1_orders_2(sK169) ),
inference(forward_subsumption_resolution,[],[f40713,f21045]) ).
fof(f40715,plain,
! [X0] :
( ~ v7_waybel_1(X0,sK169)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| k2_waybel_1(sK169,sK169,X0) = k1_waybel34(k2_yellow_2(sK169,sK169,X0),sK169,k3_waybel_1(sK169,sK169,X0)) ),
inference(forward_subsumption_resolution,[],[f40714,f21042]) ).
fof(f40739,plain,
m1_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169)),
inference(resolution,[],[f21063,f21050]) ).
fof(f40741,plain,
( $false
| spl1970_524 ),
inference(forward_subsumption_resolution,[],[f40739,f40603]) ).
fof(f40742,plain,
spl1970_524,
inference(avatar_contradiction_clause,[],[f40741]) ).
fof(f40747,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20984]) ).
fof(f40748,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20985]) ).
fof(f40749,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20986]) ).
fof(f40751,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20993]) ).
fof(f40752,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20994]) ).
fof(f40753,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(resolution,[],[f40739,f20995]) ).
fof(f40758,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40753,f21049]) ).
fof(f40759,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40752,f21049]) ).
fof(f40760,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40751,f21049]) ).
fof(f40762,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40749,f21049]) ).
fof(f40763,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40748,f21049]) ).
fof(f40764,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40747,f21049]) ).
fof(f40769,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40758,f21048]) ).
fof(f40770,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40759,f21048]) ).
fof(f40771,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40760,f21048]) ).
fof(f40773,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40762,f21048]) ).
fof(f40774,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40763,f21048]) ).
fof(f40775,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40764,f21048]) ).
fof(f40780,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40769,f21047]) ).
fof(f40781,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40770,f21047]) ).
fof(f40782,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40771,f21047]) ).
fof(f40784,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40773,f21047]) ).
fof(f40785,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40774,f21047]) ).
fof(f40786,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40775,f21047]) ).
fof(f40791,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40780,f21046]) ).
fof(f40792,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40781,f21046]) ).
fof(f40793,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40782,f21046]) ).
fof(f40795,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40784,f21046]) ).
fof(f40796,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40785,f21046]) ).
fof(f40797,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40786,f21046]) ).
fof(f40802,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40791,f21045]) ).
fof(f40803,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40792,f21045]) ).
fof(f40804,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40793,f21045]) ).
fof(f40806,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40795,f21045]) ).
fof(f40807,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40796,f21045]) ).
fof(f40808,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40797,f21045]) ).
fof(f40810,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40802,f21044]) ).
fof(f40811,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40803,f21044]) ).
fof(f40812,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40804,f21044]) ).
fof(f40814,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40806,f21044]) ).
fof(f40815,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40807,f21044]) ).
fof(f40816,plain,
( ~ l1_orders_2(sK169)
| ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40808,f21044]) ).
fof(f40818,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40810,f21042]) ).
fof(f40819,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40811,f21042]) ).
fof(f40820,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40812,f21042]) ).
fof(f40822,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40814,f21042]) ).
fof(f40823,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40815,f21042]) ).
fof(f40824,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40816,f21042]) ).
fof(f40826,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40818,f21053]) ).
fof(f40827,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40819,f21053]) ).
fof(f40828,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40820,f21053]) ).
fof(f40830,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40822,f21053]) ).
fof(f40831,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40823,f21053]) ).
fof(f40832,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40824,f21053]) ).
fof(f40834,plain,
( ~ v6_waybel_1(sK170,sK169)
| v2_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40826,f21052]) ).
fof(f40835,plain,
( ~ v6_waybel_1(sK170,sK169)
| v3_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40827,f21052]) ).
fof(f40836,plain,
( ~ v6_waybel_1(sK170,sK169)
| v4_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40828,f21052]) ).
fof(f40838,plain,
( ~ v6_waybel_1(sK170,sK169)
| v1_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40830,f21052]) ).
fof(f40839,plain,
( ~ v6_waybel_1(sK170,sK169)
| v2_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40831,f21052]) ).
fof(f40840,plain,
( ~ v6_waybel_1(sK170,sK169)
| v3_lattice3(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40832,f21052]) ).
fof(f40842,plain,
( v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_514 ),
inference(avatar_component_clause,[],[f40535]) ).
fof(f40844,definition,
( spl1970_532
<=> v6_waybel_1(sK170,sK169) ),
introduced(definition,[new_symbols(definition,[spl1970_532])],[avatar_definition]) ).
fof(f40845,plain,
( ~ v6_waybel_1(sK170,sK169)
| spl1970_532 ),
inference(avatar_component_clause,[],[f40844]) ).
fof(f40846,plain,
( spl1970_514
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40834,f40844,f40535]) ).
fof(f40847,plain,
( v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_513 ),
inference(avatar_component_clause,[],[f40532]) ).
fof(f40848,plain,
( spl1970_513
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40835,f40844,f40532]) ).
fof(f40849,plain,
( v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_512 ),
inference(avatar_component_clause,[],[f40529]) ).
fof(f40850,plain,
( spl1970_512
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40836,f40844,f40529]) ).
fof(f40855,plain,
( v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_511 ),
inference(avatar_component_clause,[],[f40526]) ).
fof(f40856,plain,
( spl1970_511
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40838,f40844,f40526]) ).
fof(f40857,plain,
( v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_510 ),
inference(avatar_component_clause,[],[f40523]) ).
fof(f40858,plain,
( spl1970_510
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40839,f40844,f40523]) ).
fof(f40859,plain,
( v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_509 ),
inference(avatar_component_clause,[],[f40520]) ).
fof(f40860,plain,
( spl1970_509
| ~ spl1970_532 ),
inference(avatar_split_clause,[],[f40840,f40844,f40520]) ).
fof(f40920,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v1_funct_1(sK170)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| k2_waybel_1(sK169,sK169,sK170) = k1_waybel34(k2_yellow_2(sK169,sK169,sK170),sK169,k3_waybel_1(sK169,sK169,sK170)) ),
inference(resolution,[],[f40715,f21051]) ).
fof(f40921,plain,
( ~ v1_funct_1(sK170)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| k2_waybel_1(sK169,sK169,sK170) = k1_waybel34(k2_yellow_2(sK169,sK169,sK170),sK169,k3_waybel_1(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40920,f21052]) ).
fof(f40922,plain,
( ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| k2_waybel_1(sK169,sK169,sK170) = k1_waybel34(k2_yellow_2(sK169,sK169,sK170),sK169,k3_waybel_1(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40921,f21053]) ).
fof(f40923,plain,
k2_waybel_1(sK169,sK169,sK170) = k1_waybel34(k2_yellow_2(sK169,sK169,sK170),sK169,k3_waybel_1(sK169,sK169,sK170)),
inference(forward_subsumption_resolution,[],[f40922,f21050]) ).
fof(f40924,plain,
( ~ v1_waybel34(k2_waybel_1(sK169,sK169,sK170),sK169,k2_yellow_2(sK169,sK169,sK170))
| v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_1(k3_waybel_1(sK169,sK169,sK170))
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(superposition,[],[f20953,f40923]) ).
fof(f40955,plain,
l1_struct_0(sK169),
inference(resolution,[],[f23630,f21042]) ).
fof(f40956,plain,
u1_struct_0(sK169) = k2_pre_topc(sK169),
inference(resolution,[],[f40955,f22888]) ).
fof(f40958,plain,
v1_funct_2(sK170,k2_pre_topc(sK169),k2_pre_topc(sK169)),
inference(superposition,[],[f21052,f40956]) ).
fof(f40960,plain,
( v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),k2_pre_topc(sK169))
| ~ spl1970_525 ),
inference(superposition,[],[f40606,f40956]) ).
fof(f40965,plain,
m1_relset_1(sK170,k2_pre_topc(sK169),k2_pre_topc(sK169)),
inference(superposition,[],[f40739,f40956]) ).
fof(f41085,plain,
( m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),k2_pre_topc(sK169))
| ~ spl1970_527 ),
inference(superposition,[],[f40614,f40956]) ).
fof(f41137,plain,
( $false
| spl1970_532 ),
inference(unit_resulting_resolution,[],[f22970,f21042,f40394,f21053,f40845,f21051,f40739,f21052]) ).
fof(f41139,plain,
spl1970_532,
inference(avatar_contradiction_clause,[],[f41137]) ).
fof(f41702,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK169)
| v1_funct_1(k3_waybel_1(X0,sK169,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK169))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK169)) ),
inference(resolution,[],[f23060,f21042]) ).
fof(f41703,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v1_funct_1(k3_waybel_1(X0,sK169,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK169))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK169)) ),
inference(forward_subsumption_resolution,[],[f41702,f40394]) ).
fof(f41704,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK169))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v1_funct_1(k3_waybel_1(X0,sK169,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK169)) ),
inference(forward_demodulation,[],[f41703,f40956]) ).
fof(f41705,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK169))
| v3_struct_0(X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(X0,sK169,X1))
| ~ v1_funct_1(X1) ),
inference(forward_demodulation,[],[f41704,f40956]) ).
fof(f41815,plain,
! [X0] :
( v3_struct_0(sK169)
| m1_yellow_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169)) ),
inference(resolution,[],[f40640,f21042]) ).
fof(f41816,plain,
! [X0] :
( m1_yellow_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ m1_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169)) ),
inference(forward_subsumption_resolution,[],[f41815,f40394]) ).
fof(f41817,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| m1_yellow_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK169),u1_struct_0(sK169)) ),
inference(forward_demodulation,[],[f41816,f40956]) ).
fof(f41818,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| ~ m1_relset_1(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| m1_yellow_0(k2_yellow_2(sK169,sK169,X0),sK169)
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f41817,f40956]) ).
fof(f41912,plain,
( ~ m1_relset_1(sK170,k2_pre_topc(sK169),k2_pre_topc(sK169))
| m1_yellow_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_1(sK170) ),
inference(resolution,[],[f41818,f40958]) ).
fof(f41917,plain,
( m1_yellow_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_1(sK170) ),
inference(forward_subsumption_resolution,[],[f41912,f40965]) ).
fof(f41919,plain,
m1_yellow_0(k2_yellow_2(sK169,sK169,sK170),sK169),
inference(forward_subsumption_resolution,[],[f41917,f21053]) ).
fof(f41920,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK169),k2_pre_topc(sK169))
| v3_struct_0(sK169)
| ~ m1_relset_1(X0,u1_struct_0(sK169),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(sK169,sK169,X0))
| ~ v1_funct_1(X0) ),
inference(resolution,[],[f41705,f21042]) ).
fof(f41921,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK169),k2_pre_topc(sK169))
| ~ m1_relset_1(X0,u1_struct_0(sK169),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(sK169,sK169,X0))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f41920,f40394]) ).
fof(f41922,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| ~ m1_relset_1(X0,u1_struct_0(sK169),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(sK169,sK169,X0))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f41921,f40956]) ).
fof(f41923,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| ~ m1_relset_1(X0,k2_pre_topc(sK169),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(sK169,sK169,X0))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f41922,f40956]) ).
fof(f42201,plain,
( ~ m1_relset_1(sK170,k2_pre_topc(sK169),k2_pre_topc(sK169))
| v1_funct_1(k3_waybel_1(sK169,sK169,sK170))
| ~ v1_funct_1(sK170) ),
inference(resolution,[],[f41923,f40958]) ).
fof(f42206,plain,
( v1_funct_1(k3_waybel_1(sK169,sK169,sK170))
| ~ v1_funct_1(sK170) ),
inference(forward_subsumption_resolution,[],[f42201,f40965]) ).
fof(f42209,plain,
v1_funct_1(k3_waybel_1(sK169,sK169,sK170)),
inference(forward_subsumption_resolution,[],[f42206,f21053]) ).
fof(f43654,plain,
( l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(sK169) ),
inference(resolution,[],[f23064,f41919]) ).
fof(f43659,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_1(k3_waybel_1(sK169,sK169,sK170))
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f40924,f21054]) ).
fof(f43713,plain,
l1_orders_2(k2_yellow_2(sK169,sK169,sK170)),
inference(forward_subsumption_resolution,[],[f43654,f21042]) ).
fof(f43714,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43659,f42209]) ).
fof(f43768,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43714,f21049]) ).
fof(f43821,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43768,f21048]) ).
fof(f43874,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43821,f21047]) ).
fof(f43927,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43874,f21046]) ).
fof(f43980,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v3_lattice3(sK169)
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43927,f21045]) ).
fof(f44033,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v3_waybel_3(sK169)
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f43980,f21044]) ).
fof(f44086,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ l1_orders_2(sK169)
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f44033,f21043]) ).
fof(f44093,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170)) ),
inference(forward_subsumption_resolution,[],[f44086,f21042]) ).
fof(f44098,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v3_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44093,f40842]) ).
fof(f44102,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v4_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44098,f40847]) ).
fof(f44106,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v1_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44102,f40849]) ).
fof(f44110,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v2_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44106,f40855]) ).
fof(f44114,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v3_lattice3(k2_yellow_2(sK169,sK169,sK170))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44110,f40857]) ).
fof(f44118,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ l1_orders_2(k2_yellow_2(sK169,sK169,sK170))
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44114,f40859]) ).
fof(f44122,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_subsumption_resolution,[],[f44118,f43713]) ).
fof(f44124,plain,
( ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),k2_pre_topc(sK169))
| v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_demodulation,[],[f44122,f40956]) ).
fof(f44126,plain,
( ~ v1_funct_2(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),k2_pre_topc(sK169))
| v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514 ),
inference(forward_demodulation,[],[f44124,f40424]) ).
fof(f44128,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),u1_struct_0(sK169))
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525 ),
inference(forward_subsumption_resolution,[],[f44126,f40960]) ).
fof(f44130,plain,
( ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),u1_struct_0(k2_yellow_2(sK169,sK169,sK170)),k2_pre_topc(sK169))
| v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525 ),
inference(forward_demodulation,[],[f44128,f40956]) ).
fof(f44132,plain,
( ~ m2_relset_1(k3_waybel_1(sK169,sK169,sK170),k1_yellow_2(sK169,sK169,sK170),k2_pre_topc(sK169))
| v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525 ),
inference(forward_demodulation,[],[f44130,f40424]) ).
fof(f44134,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525
| ~ spl1970_527 ),
inference(forward_subsumption_resolution,[],[f44132,f41085]) ).
fof(f44136,definition,
( spl1970_690
<=> v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169) ),
introduced(definition,[new_symbols(definition,[spl1970_690])],[avatar_definition]) ).
fof(f44137,plain,
( ~ v17_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| spl1970_690 ),
inference(avatar_component_clause,[],[f44136]) ).
fof(f44143,definition,
( spl1970_692
<=> v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169) ),
introduced(definition,[new_symbols(definition,[spl1970_692])],[avatar_definition]) ).
fof(f44144,plain,
( v22_waybel_0(k3_waybel_1(sK169,sK169,sK170),k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(avatar_component_clause,[],[f44143]) ).
fof(f44145,plain,
( ~ spl1970_690
| spl1970_692
| ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525
| ~ spl1970_527 ),
inference(avatar_split_clause,[],[f44134,f40613,f40605,f40535,f40532,f40529,f40526,f40523,f40520,f40278,f44143,f44136]) ).
fof(f44987,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(resolution,[],[f44137,f21027]) ).
fof(f44989,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44987,f21053]) ).
fof(f44990,plain,
( ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44989,f21052]) ).
fof(f44991,plain,
( ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44990,f21051]) ).
fof(f44992,plain,
( ~ v2_orders_2(sK169)
| ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44991,f21050]) ).
fof(f44993,plain,
( ~ v3_orders_2(sK169)
| ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44992,f21049]) ).
fof(f44994,plain,
( ~ v4_orders_2(sK169)
| ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44993,f21048]) ).
fof(f44995,plain,
( ~ v1_lattice3(sK169)
| ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44994,f21047]) ).
fof(f44996,plain,
( ~ v2_lattice3(sK169)
| ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44995,f21046]) ).
fof(f44997,plain,
( ~ v3_lattice3(sK169)
| ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44996,f21045]) ).
fof(f44998,plain,
( ~ l1_orders_2(sK169)
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44997,f21044]) ).
fof(f44999,plain,
( $false
| spl1970_690 ),
inference(forward_subsumption_resolution,[],[f44998,f21042]) ).
fof(f45000,plain,
spl1970_690,
inference(avatar_contradiction_clause,[],[f44999]) ).
fof(f45003,plain,
( ~ v1_funct_1(sK170)
| ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(resolution,[],[f44144,f40271]) ).
fof(f45008,plain,
( ~ v1_funct_2(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(forward_subsumption_resolution,[],[f45003,f21053]) ).
fof(f45010,plain,
( ~ v7_waybel_1(sK170,sK169)
| ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(forward_subsumption_resolution,[],[f45008,f21052]) ).
fof(f45012,plain,
( ~ m2_relset_1(sK170,u1_struct_0(sK169),u1_struct_0(sK169))
| v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(forward_subsumption_resolution,[],[f45010,f21051]) ).
fof(f45014,plain,
( v4_waybel_0(k2_yellow_2(sK169,sK169,sK170),sK169)
| ~ spl1970_692 ),
inference(forward_subsumption_resolution,[],[f45012,f21050]) ).
fof(f45016,plain,
( $false
| ~ spl1970_692 ),
inference(forward_subsumption_resolution,[],[f45014,f21055]) ).
fof(f45017,plain,
~ spl1970_692,
inference(avatar_contradiction_clause,[],[f45016]) ).
cnf(s426,plain,
( spl1970_490
| spl1970_491 ),
inference(sat_conversion,[],[f40280]) ).
cnf(s428,plain,
~ spl1970_490,
inference(sat_conversion,[],[f40385]) ).
cnf(s453,plain,
( ~ spl1970_491
| ~ spl1970_524
| spl1970_525 ),
inference(sat_conversion,[],[f40607]) ).
cnf(s455,plain,
( ~ spl1970_491
| ~ spl1970_524
| spl1970_527 ),
inference(sat_conversion,[],[f40615]) ).
cnf(s461,plain,
spl1970_524,
inference(sat_conversion,[],[f40742]) ).
cnf(s462,plain,
( spl1970_514
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40846]) ).
cnf(s463,plain,
( spl1970_513
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40848]) ).
cnf(s464,plain,
( spl1970_512
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40850]) ).
cnf(s466,plain,
( spl1970_511
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40856]) ).
cnf(s467,plain,
( spl1970_510
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40858]) ).
cnf(s468,plain,
( spl1970_509
| ~ spl1970_532 ),
inference(sat_conversion,[],[f40860]) ).
cnf(s470,plain,
spl1970_532,
inference(sat_conversion,[],[f41139]) ).
cnf(s611,plain,
( ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525
| ~ spl1970_527
| ~ spl1970_690
| spl1970_692 ),
inference(sat_conversion,[],[f44145]) ).
cnf(s613,plain,
spl1970_690,
inference(sat_conversion,[],[f45000]) ).
cnf(s616,plain,
~ spl1970_692,
inference(sat_conversion,[],[f45017]) ).
cnf(s617,plain,
( ~ spl1970_491
| ~ spl1970_509
| ~ spl1970_510
| ~ spl1970_511
| ~ spl1970_512
| ~ spl1970_513
| ~ spl1970_514
| ~ spl1970_525
| ~ spl1970_527 ),
inference(rat,[],[s611,s616,s613]) ).
cnf(s723,plain,
spl1970_509,
inference(rat,[],[s468,s470]) ).
cnf(s724,plain,
spl1970_510,
inference(rat,[],[s467,s470]) ).
cnf(s725,plain,
spl1970_511,
inference(rat,[],[s466,s470]) ).
cnf(s728,plain,
spl1970_512,
inference(rat,[],[s464,s470]) ).
cnf(s729,plain,
spl1970_513,
inference(rat,[],[s463,s470]) ).
cnf(s730,plain,
spl1970_514,
inference(rat,[],[s462,s470]) ).
cnf(s735,plain,
( ~ spl1970_491
| spl1970_527 ),
inference(rat,[],[s455,s461]) ).
cnf(s737,plain,
( ~ spl1970_491
| spl1970_525 ),
inference(rat,[],[s453,s461]) ).
cnf(s764,plain,
spl1970_491,
inference(rat,[],[s426,s428]) ).
cnf(s770,plain,
spl1970_527,
inference(rat,[],[s735,s764]) ).
cnf(s772,plain,
spl1970_525,
inference(rat,[],[s737,s764]) ).
cnf(s795,plain,
$false,
inference(rat,[],[s617,s764,s730,s729,s728,s725,s724,s723,s770,s772]) ).
fof(f45029,plain,
$false,
inference(avatar_sat_refutation,[],[s795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT370+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:06:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.35/3.34 % (2524865)Detected formulas, will run a generic FOF schedule.
% 14.35/3.34 % (2524874)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1090608119:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 14.35/3.34 % (2524875)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2948235176:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 14.35/3.34 % (2524870)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1324109983:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 14.35/3.34 % (2524876)dis-21_1_sil=8000:lcm=predicate:random_seed=3211956140:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 14.35/3.34 % (2524873)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3327109449:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 14.35/3.34 % (2524871)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=710046769:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 14.35/3.34 % (2524872)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1275407442:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 14.35/3.34 % (2524874)Instruction limit reached!
% 14.35/3.34 % (2524874)------------------------------
% 14.35/3.34 % (2524874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.34 % (2524874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.34 % (2524874)CaDiCaL version: 2.1.3
% 14.35/3.34 % (2524874)Termination reason: Instruction limit
% 14.35/3.34 % (2524874)Termination phase: Property scanning
% 14.35/3.34 % (2524874)Time elapsed: 0.057 s
% 14.35/3.34 % (2524874)Peak memory usage: 103 MB
% 14.35/3.34 % (2524874)Instructions burned: 120 (million)
% 14.35/3.34 % (2524875)Instruction limit reached!
% 14.35/3.34 % (2524875)------------------------------
% 14.35/3.34 % (2524875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.34 % (2524875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.34 % (2524873)Refutation not found, incomplete strategy
% 14.35/3.34 % (2524873)------------------------------
% 14.35/3.34 % (2524873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.34 % (2524875)CaDiCaL version: 2.1.3
% 14.35/3.34 % (2524875)Termination reason: Instruction limit
% 14.35/3.34 % (2524875)Termination phase: Property scanning
% 14.35/3.34 % (2524875)Time elapsed: 0.059 s
% 14.35/3.34 % (2524873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.34 % (2524875)Peak memory usage: 99 MB
% 14.35/3.34 % (2524875)Instructions burned: 141 (million)
% 14.35/3.34 % (2524873)CaDiCaL version: 2.1.3
% 14.35/3.34 % (2524873)Termination reason: Refutation not found, incomplete strategy
% 14.35/3.34 % (2524873)Time elapsed: 0.059 s
% 14.35/3.34 % (2524873)Peak memory usage: 103 MB
% 14.35/3.34 % (2524873)Instructions burned: 69 (million)
% 14.35/3.34 % (2524876)Instruction limit reached!
% 14.35/3.34 % (2524876)------------------------------
% 14.35/3.34 % (2524876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.34 % (2524876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.34 % (2524876)CaDiCaL version: 2.1.3
% 14.35/3.34 % (2524876)Termination reason: Instruction limit
% 14.35/3.34 % (2524876)Termination phase: Preprocessing 1
% 14.35/3.34 % (2524876)Time elapsed: 0.101 s
% 14.35/3.34 % (2524876)Peak memory usage: 100 MB
% 14.35/3.34 % (2524876)Instructions burned: 129 (million)
% 14.35/3.34 % (2524884)lrs+10_1_sil=8000:sp=occurrence:random_seed=3222149690:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 14.35/3.34 % (2524885)lrs+10_1_sil=32000:urr=on:br=off:random_seed=915340764:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 14.35/3.34 % (2524884)Instruction limit reached!
% 14.35/3.34 % (2524884)------------------------------
% 14.35/3.34 % (2524884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/3.34 % (2524884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/3.34 % (2524884)CaDiCaL version: 2.1.3
% 14.35/3.34 % (2524884)Termination reason: Instruction limit
% 22.60/4.53 % (2524884)Termination phase: Saturation
% 22.60/4.53 % (2524884)Time elapsed: 0.099 s
% 22.60/4.53 % (2524884)Peak memory usage: 106 MB
% 22.60/4.53 % (2524884)Instructions burned: 285 (million)
% 22.60/4.53 % (2524886)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3031453217:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 22.60/4.53 % (2524885)Instruction limit reached!
% 22.60/4.53 % (2524885)------------------------------
% 22.60/4.53 % (2524885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.60/4.53 % (2524885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.60/4.53 % (2524885)CaDiCaL version: 2.1.3
% 22.60/4.53 % (2524885)Termination reason: Instruction limit
% 22.60/4.53 % (2524885)Termination phase: SInE selection
% 22.60/4.53 % (2524885)Time elapsed: 0.072 s
% 22.60/4.53 % (2524885)Peak memory usage: 99 MB
% 22.60/4.53 % (2524885)Instructions burned: 158 (million)
% 22.60/4.53 % (2524873)------------------------------
% 22.60/4.53 % (2524873)------------------------------
% 22.60/4.53 % (2524886)Refutation not found, incomplete strategy
% 22.60/4.53 % (2524886)------------------------------
% 22.60/4.53 % (2524886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.60/4.53 % (2524886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.60/4.53 % (2524886)CaDiCaL version: 2.1.3
% 22.60/4.53 % (2524886)Termination reason: Refutation not found, incomplete strategy
% 22.60/4.53 % (2524886)Time elapsed: 0.084 s
% 22.60/4.53 % (2524886)Peak memory usage: 104 MB
% 22.60/4.53 % (2524886)Instructions burned: 107 (million)
% 22.60/4.53 % (2524889)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=627269309:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 22.60/4.53 % (2524891)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3394112870:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 22.60/4.53 % (2524889)Instruction limit reached!
% 22.60/4.53 % (2524889)------------------------------
% 22.60/4.53 % (2524889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.60/4.53 % (2524889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.60/4.53 % (2524889)CaDiCaL version: 2.1.3
% 22.60/4.53 % (2524889)Termination reason: Instruction limit
% 22.60/4.53 % (2524889)Termination phase: Preprocessing 1
% 22.60/4.53 % (2524889)Time elapsed: 0.082 s
% 22.60/4.53 % (2524889)Peak memory usage: 100 MB
% 22.60/4.53 % (2524889)Instructions burned: 251 (million)
% 22.60/4.53 % (2524892)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1283181991:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 22.60/4.53 % (2524886)------------------------------
% 22.60/4.53 % (2524886)------------------------------
% 22.60/4.53 % (2524895)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2611138830:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 22.60/4.53 % (2524891)Instruction limit reached!
% 22.60/4.53 % (2524891)------------------------------
% 22.60/4.53 % (2524891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.60/4.53 % (2524891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.60/4.53 % (2524891)CaDiCaL version: 2.1.3
% 22.60/4.53 % (2524891)Termination reason: Instruction limit
% 22.60/4.53 % (2524891)Termination phase: Saturation
% 22.60/4.53 % (2524891)Time elapsed: 0.179 s
% 22.60/4.53 % (2524891)Peak memory usage: 107 MB
% 22.60/4.53 % (2524891)Instructions burned: 295 (million)
% 22.60/4.53 % (2524895)Instruction limit reached!
% 22.60/4.53 % (2524895)------------------------------
% 22.60/4.53 % (2524895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.60/4.53 % (2524895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.60/4.53 % (2524895)CaDiCaL version: 2.1.3
% 22.60/4.53 % (2524895)Termination reason: Instruction limit
% 22.60/4.53 % (2524895)Termination phase: Preprocessing 3
% 22.60/4.53 % (2524895)Time elapsed: 0.058 s
% 22.60/4.53 % (2524895)Peak memory usage: 103 MB
% 22.60/4.53 % (2524895)Instructions burned: 113 (million)
% 22.60/4.53 % (2524898)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1356458844:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 22.60/4.53 % (2524899)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3450578457:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 41.51/7.14 % (2524900)lrs+10_1_sil=8000:sp=occurrence:random_seed=2183026646:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 41.51/7.14 % (2524899)Instruction limit reached!
% 41.51/7.14 % (2524899)------------------------------
% 41.51/7.14 % (2524899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524899)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524899)Termination reason: Instruction limit
% 41.51/7.14 % (2524899)Termination phase: Property scanning
% 41.51/7.14 % (2524899)Time elapsed: 0.049 s
% 41.51/7.14 % (2524899)Peak memory usage: 99 MB
% 41.51/7.14 % (2524899)Instructions burned: 116 (million)
% 41.51/7.14 % (2524898)Instruction limit reached!
% 41.51/7.14 % (2524898)------------------------------
% 41.51/7.14 % (2524898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524898)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524898)Termination reason: Instruction limit
% 41.51/7.14 % (2524898)Termination phase: Preprocessing 2
% 41.51/7.14 % (2524898)Time elapsed: 0.108 s
% 41.51/7.14 % (2524898)Peak memory usage: 106 MB
% 41.51/7.14 % (2524898)Instructions burned: 127 (million)
% 41.51/7.14 % (2524904)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4173186446:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 41.51/7.14 % (2524905)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=232979357:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 41.51/7.14 % (2524900)Instruction limit reached!
% 41.51/7.14 % (2524900)------------------------------
% 41.51/7.14 % (2524900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524900)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524900)Termination reason: Instruction limit
% 41.51/7.14 % (2524900)Termination phase: Saturation
% 41.51/7.14 % (2524900)Time elapsed: 0.310 s
% 41.51/7.14 % (2524900)Peak memory usage: 118 MB
% 41.51/7.14 % (2524900)Instructions burned: 909 (million)
% 41.51/7.14 % (2524908)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2269078622:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 41.51/7.14 % (2524904)Instruction limit reached!
% 41.51/7.14 % (2524904)------------------------------
% 41.51/7.14 % (2524904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524904)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524904)Termination reason: Instruction limit
% 41.51/7.14 % (2524904)Termination phase: Saturation
% 41.51/7.14 % (2524904)Time elapsed: 0.246 s
% 41.51/7.14 % (2524904)Peak memory usage: 109 MB
% 41.51/7.14 % (2524904)Instructions burned: 438 (million)
% 41.51/7.14 % (2524908)Instruction limit reached!
% 41.51/7.14 % (2524908)------------------------------
% 41.51/7.14 % (2524908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524908)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524908)Termination reason: Instruction limit
% 41.51/7.14 % (2524908)Termination phase: NewCNF
% 41.51/7.14 % (2524908)Time elapsed: 0.063 s
% 41.51/7.14 % (2524908)Peak memory usage: 104 MB
% 41.51/7.14 % (2524908)Instructions burned: 137 (million)
% 41.51/7.14 % (2524910)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3930504049:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 41.51/7.14 % (2524911)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2243329882:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 41.51/7.14 % (2524910)Instruction limit reached!
% 41.51/7.14 % (2524910)------------------------------
% 41.51/7.14 % (2524910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/7.14 % (2524910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/7.14 % (2524910)CaDiCaL version: 2.1.3
% 41.51/7.14 % (2524910)Termination reason: Instruction limit
% 41.51/7.14 % (2524910)Termination phase: Property scanning
% 41.51/7.14 % (2524910)Time elapsed: 0.378 s
% 41.51/7.14 % (2524910)Peak memory usage: 118 MB
% 41.51/7.14 % (2524910)Instructions burned: 593 (million)
% 35.23/7.40 % (2524914)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3567814744:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 35.23/7.40 % (2524914)Instruction limit reached!
% 35.23/7.40 % (2524914)------------------------------
% 35.23/7.40 % (2524914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524914)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524914)Termination reason: Instruction limit
% 35.23/7.40 % (2524914)Termination phase: Property scanning
% 35.23/7.40 % (2524914)Time elapsed: 0.054 s
% 35.23/7.40 % (2524914)Peak memory usage: 99 MB
% 35.23/7.40 % (2524914)Instructions burned: 127 (million)
% 35.23/7.40 % (2524892)Instruction limit reached!
% 35.23/7.40 % (2524892)------------------------------
% 35.23/7.40 % (2524892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524892)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524892)Termination reason: Instruction limit
% 35.23/7.40 % (2524892)Termination phase: Saturation
% 35.23/7.40 % (2524892)Time elapsed: 1.533 s
% 35.23/7.40 % (2524892)Peak memory usage: 272 MB
% 35.23/7.40 % (2524892)Instructions burned: 2351 (million)
% 35.23/7.40 % (2524916)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2772926971:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 35.23/7.40 % (2524917)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2720537368:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 35.23/7.40 % (2524917)Refutation not found, incomplete strategy
% 35.23/7.40 % (2524917)------------------------------
% 35.23/7.40 % (2524917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524917)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524917)Termination reason: Refutation not found, incomplete strategy
% 35.23/7.40 % (2524917)Time elapsed: 0.034 s
% 35.23/7.40 % (2524917)Peak memory usage: 103 MB
% 35.23/7.40 % (2524917)Instructions burned: 65 (million)
% 35.23/7.40 % (2524916)Instruction limit reached!
% 35.23/7.40 % (2524916)------------------------------
% 35.23/7.40 % (2524916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524916)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524916)Termination reason: Instruction limit
% 35.23/7.40 % (2524916)Termination phase: Property scanning
% 35.23/7.40 % (2524916)Time elapsed: 0.060 s
% 35.23/7.40 % (2524916)Peak memory usage: 99 MB
% 35.23/7.40 % (2524916)Instructions burned: 134 (million)
% 35.23/7.40 % (2524917)------------------------------
% 35.23/7.40 % (2524917)------------------------------
% 35.23/7.40 % (2524920)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3403725420:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 35.23/7.40 % (2524921)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=711156502:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 35.23/7.40 % (2524920)Instruction limit reached!
% 35.23/7.40 % (2524920)------------------------------
% 35.23/7.40 % (2524920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524920)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524920)Termination reason: Instruction limit
% 35.23/7.40 % (2524920)Termination phase: Saturation
% 35.23/7.40 % (2524920)Time elapsed: 0.288 s
% 35.23/7.40 % (2524920)Peak memory usage: 108 MB
% 35.23/7.40 % (2524920)Instructions burned: 432 (million)
% 35.23/7.40 % (2524924)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3778180484:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 35.23/7.40 % (2524924)Instruction limit reached!
% 35.23/7.40 % (2524924)------------------------------
% 35.23/7.40 % (2524924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524924)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524924)Termination reason: Instruction limit
% 35.23/7.40 % (2524924)Termination phase: Unused predicate definition removal
% 35.23/7.40 % (2524924)Time elapsed: 0.117 s
% 35.23/7.40 % (2524924)Peak memory usage: 101 MB
% 35.23/7.40 % (2524924)Instructions burned: 150 (million)
% 35.23/7.40 % (2524926)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3820314764:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 35.23/7.40 % (2524905)Instruction limit reached!
% 35.23/7.40 % (2524905)------------------------------
% 35.23/7.40 % (2524905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524905)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524905)Termination reason: Instruction limit
% 35.23/7.40 % (2524905)Termination phase: Saturation
% 35.23/7.40 % (2524905)Time elapsed: 3.034 s
% 35.23/7.40 % (2524905)Peak memory usage: 194 MB
% 35.23/7.40 % (2524905)Instructions burned: 5202 (million)
% 35.23/7.40 % (2524928)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1786834078:i=667:av=off:fsr=off_2952 on theBenchmark for (2952ds/667Mi)
% 35.23/7.40 % (2524928)Instruction limit reached!
% 35.23/7.40 % (2524928)------------------------------
% 35.23/7.40 % (2524928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524928)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524928)Termination reason: Instruction limit
% 35.23/7.40 % (2524928)Termination phase: NewCNF
% 35.23/7.40 % (2524928)Time elapsed: 0.471 s
% 35.23/7.40 % (2524928)Peak memory usage: 128 MB
% 35.23/7.40 % (2524928)Instructions burned: 668 (million)
% 35.23/7.40 % (2524930)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2861206804:s2a=on:i=185:s2at=1.8:fdi=4_2945 on theBenchmark for (2945ds/185Mi)
% 35.23/7.40 % (2524930)Instruction limit reached!
% 35.23/7.40 % (2524930)------------------------------
% 35.23/7.40 % (2524930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524930)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524930)Termination reason: Instruction limit
% 35.23/7.40 % (2524930)Termination phase: Preprocessing 2
% 35.23/7.40 % (2524930)Time elapsed: 0.157 s
% 35.23/7.40 % (2524930)Peak memory usage: 102 MB
% 35.23/7.40 % (2524930)Instructions burned: 185 (million)
% 35.23/7.40 % (2524921)Instruction limit reached!
% 35.23/7.40 % (2524921)------------------------------
% 35.23/7.40 % (2524921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524921)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524921)Termination reason: Instruction limit
% 35.23/7.40 % (2524921)Termination phase: Saturation
% 35.23/7.40 % (2524921)Time elapsed: 2.682 s
% 35.23/7.40 % (2524921)Peak memory usage: 489 MB
% 35.23/7.40 % (2524921)Instructions burned: 6062 (million)
% 35.23/7.40 % (2524932)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2502967697:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2942 on theBenchmark for (2942ds/193Mi)
% 35.23/7.40 % (2524933)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2673571153:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2940 on theBenchmark for (2940ds/4850Mi)
% 35.23/7.40 % (2524932)Instruction limit reached!
% 35.23/7.40 % (2524932)------------------------------
% 35.23/7.40 % (2524932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.23/7.40 % (2524932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.23/7.40 % (2524932)CaDiCaL version: 2.1.3
% 35.23/7.40 % (2524932)Termination reason: Instruction limit
% 35.23/7.40 % (2524932)Termination phase: Property scanning
% 35.23/7.40 % (2524932)Time elapsed: 0.154 s
% 35.23/7.40 % (2524932)Peak memory usage: 103 MB
% 35.23/7.40 % (2524932)Instructions burned: 193 (million)
% 35.23/7.40 % (2524871)First to succeed.
% 35.23/7.40 % (2524871)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2524865"
% 35.23/7.40 % (2524936)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3434832265:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 35.23/7.40 % (2524871)Refutation found. Thanks to Tanya!
% 35.23/7.40 % SZS status Theorem for theBenchmark
% 35.23/7.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/7.50 % (2524871)------------------------------
% 0.17/7.50 % (2524871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/7.50 % (2524871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/7.50 % (2524871)CaDiCaL version: 2.1.3
% 0.17/7.50 % (2524871)Termination reason: Refutation
% 0.17/7.50 % (2524871)Time elapsed: 5.477 s
% 0.17/7.50 % (2524871)Peak memory usage: 316 MB
% 0.17/7.50 % (2524871)Instructions burned: 8960 (million)
% 0.17/7.50 % (2524871)------------------------------
% 0.17/7.50 % (2524871)------------------------------
% 0.17/7.50 % (2524865)Success in time 6.553 s
% 0.17/7.50 % Vampire exiting
%------------------------------------------------------------------------------