%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:47:15 AM UTC 2026
% Result : Theorem 1.65s 6.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 16
% Syntax : Number of formulae : 148 ( 17 unt; 7 def)
% Number of atoms : 1168 ( 65 equ)
% Maximal formula atoms : 25 ( 7 avg)
% Number of connectives : 1760 ( 740 ~; 747 |; 236 &)
% ( 12 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 7 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 147 ( 0 sgn 145 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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) )
=> ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
& k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel34) ).
fof(f2,negated_conjecture,
~ ! [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) )
=> ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
& k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f34,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f49,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_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)
& 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)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v17_waybel_0(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f50,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_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)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v18_waybel_0(X2,X1,X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f61,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f62,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f89,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v23_waybel_0(k7_grcat_1(X0),X0,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v20_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(f129,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel34) ).
fof(f143,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f93]) ).
fof(f146,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f143]) ).
fof(f155,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f170,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f155]) ).
fof(f173,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f170]) ).
fof(f188,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f173]) ).
fof(f193,plain,
? [X0] :
( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(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,[],[f2]) ).
fof(f194,plain,
? [X0] :
( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(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,[],[f193]) ).
fof(f240,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f241,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f240]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f267]) ).
fof(f273,plain,
! [X0] :
( ( v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f274,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f297,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v23_waybel_0(k7_grcat_1(X0),X0,X0) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f303,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f188]) ).
fof(f304,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f303]) ).
fof(f344,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f345,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f344]) ).
fof(f352,definition,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f353,plain,
! [X0] :
( sP2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f304,f352]) ).
fof(f356,plain,
( ( k7_grcat_1(sK4) != k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4)) )
& v2_orders_2(sK4)
& v3_orders_2(sK4)
& v4_orders_2(sK4)
& v1_lattice3(sK4)
& v2_lattice3(sK4)
& v3_lattice3(sK4)
& l1_orders_2(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f194]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k1_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f266]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k2_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f268]) ).
fof(f366,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f352]) ).
fof(f389,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f390,plain,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f391,plain,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f392,plain,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f393,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f394,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f395,plain,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f356]) ).
fof(f396,plain,
( k7_grcat_1(sK4) != k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4)) ),
inference(cnf_transformation,[],[f356]) ).
fof(f498,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f534,plain,
! [X2,X3,X0,X1] :
( ~ v3_lattice3(X0)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| k1_waybel34(X0,X1,X2) = X3
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f536,plain,
! [X2,X3,X0,X1] :
( ~ v3_lattice3(X0)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| k2_waybel34(X0,X1,X2) = X3
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f544,plain,
! [X0] :
( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f547,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f601,plain,
! [X0] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f602,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f621,plain,
! [X0] :
( v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f622,plain,
! [X0] :
( v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f627,plain,
! [X0] :
( sP2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f760,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f766,definition,
( spl30_1
<=> k7_grcat_1(sK4) = k2_waybel34(sK4,sK4,k7_grcat_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f768,plain,
( k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| spl30_1 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl30_2
<=> k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f773,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f396,f770,f766]) ).
fof(f882,definition,
( spl30_3
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f883,plain,
( ~ v3_struct_0(sK4)
| spl30_3 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f884,plain,
( v3_struct_0(sK4)
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f893,plain,
( ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4)
| ~ spl30_3 ),
inference(resolution,[],[f884,f498]) ).
fof(f896,plain,
( ~ l1_orders_2(sK4)
| ~ spl30_3 ),
inference(forward_subsumption_resolution,[],[f893,f391]) ).
fof(f899,plain,
( $false
| ~ spl30_3 ),
inference(forward_subsumption_resolution,[],[f896,f389]) ).
fof(f900,plain,
~ spl30_3,
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f981,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f534,f390]) ).
fof(f986,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f981,f395]) ).
fof(f988,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f986,f394]) ).
fof(f990,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f988,f393]) ).
fof(f992,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f990,f392]) ).
fof(f994,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_lattice3(X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f992,f391]) ).
fof(f996,plain,
! [X2,X0,X1] :
( ~ v3_lattice3(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| k1_waybel34(sK4,X0,X1) = X2
| ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v17_waybel_0(X1,sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f994,f389]) ).
fof(f997,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f536,f390]) ).
fof(f1002,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f997,f395]) ).
fof(f1004,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1002,f394]) ).
fof(f1006,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1004,f393]) ).
fof(f1008,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1006,f392]) ).
fof(f1010,plain,
! [X2,X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_lattice3(X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1008,f391]) ).
fof(f1012,plain,
! [X2,X0,X1] :
( ~ v3_lattice3(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(X0))
| k2_waybel34(sK4,X0,X2) = X1
| ~ v3_waybel_1(k1_waybel_1(sK4,X0,X1,X2),sK4,X0)
| ~ v18_waybel_0(X2,X0,sK4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK4))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1010,f389]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f996,f390]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1021,f395]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1024,f394]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1026,f393]) ).
fof(f1030,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1028,f392]) ).
fof(f1032,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1030,f391]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X1,X0),sK4,sK4)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k1_waybel34(sK4,sK4,X1) = X0
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4)) ),
inference(forward_subsumption_resolution,[],[f1032,f389]) ).
fof(f1039,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v2_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f1012,f390]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v3_orders_2(sK4)
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1039,f395]) ).
fof(f1044,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v4_orders_2(sK4)
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1042,f394]) ).
fof(f1046,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v1_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1044,f393]) ).
fof(f1048,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v2_lattice3(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1046,f392]) ).
fof(f1050,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1048,f391]) ).
fof(f1052,plain,
! [X0,X1] :
( ~ v3_waybel_1(k1_waybel_1(sK4,sK4,X0,X1),sK4,sK4)
| ~ v1_funct_2(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(sK4),u1_struct_0(sK4))
| k2_waybel34(sK4,sK4,X1) = X0
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X1,sK4,sK4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(X1,u1_struct_0(sK4),u1_struct_0(sK4)) ),
inference(forward_subsumption_resolution,[],[f1050,f389]) ).
fof(f1053,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f1034,f760]) ).
fof(f1056,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1058,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1056,f601]) ).
fof(f1059,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1058,f602]) ).
fof(f1060,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ l1_orders_2(sK4)
| spl30_3 ),
inference(forward_subsumption_resolution,[],[f1059,f883]) ).
fof(f1061,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k1_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| spl30_3 ),
inference(forward_subsumption_resolution,[],[f1060,f389]) ).
fof(f1063,definition,
( spl30_6
<=> v17_waybel_0(k7_grcat_1(sK4),sK4,sK4) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f1065,plain,
( ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| spl30_6 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1067,definition,
( spl30_7
<=> m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f1068,plain,
( m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1069,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| spl30_7 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( ~ spl30_6
| spl30_2
| ~ spl30_7
| spl30_3 ),
inference(avatar_split_clause,[],[f1061,f882,f1067,f770,f1063]) ).
fof(f1071,plain,
( ~ sP2(sK4)
| spl30_6 ),
inference(resolution,[],[f1065,f622]) ).
fof(f1093,plain,
( v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ l1_orders_2(sK4)
| spl30_6 ),
inference(resolution,[],[f1071,f627]) ).
fof(f1094,plain,
( ~ v2_orders_2(sK4)
| ~ l1_orders_2(sK4)
| spl30_3
| spl30_6 ),
inference(forward_subsumption_resolution,[],[f1093,f883]) ).
fof(f1095,plain,
( ~ l1_orders_2(sK4)
| spl30_3
| spl30_6 ),
inference(forward_subsumption_resolution,[],[f1094,f395]) ).
fof(f1096,plain,
( $false
| spl30_3
| spl30_6 ),
inference(forward_subsumption_resolution,[],[f1095,f389]) ).
fof(f1097,plain,
( spl30_3
| spl30_6 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1104,plain,
( ~ l1_struct_0(sK4)
| spl30_7 ),
inference(resolution,[],[f1069,f544]) ).
fof(f1108,plain,
( ~ l1_orders_2(sK4)
| spl30_7 ),
inference(resolution,[],[f1104,f547]) ).
fof(f1109,plain,
( $false
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f1108,f389]) ).
fof(f1110,plain,
spl30_7,
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1193,definition,
( spl30_14
<=> v18_waybel_0(k7_grcat_1(sK4),sK4,sK4) ),
introduced(definition,[new_symbols(definition,[spl30_14])],[avatar_definition]) ).
fof(f1194,plain,
( ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| spl30_14 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1230,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(resolution,[],[f1052,f760]) ).
fof(f1233,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(duplicate_literal_removal,[],[f1230]) ).
fof(f1236,plain,
( ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| k7_grcat_1(sK4) = k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4) ),
inference(forward_subsumption_resolution,[],[f1233,f601]) ).
fof(f1238,plain,
( k7_grcat_1(sK4) = k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4)
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f1236,f1068]) ).
fof(f1240,plain,
( ~ v1_funct_1(k7_grcat_1(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4)
| spl30_1
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f1238,f768]) ).
fof(f1242,plain,
( ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| v3_struct_0(sK4)
| ~ l1_orders_2(sK4)
| spl30_1
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f1240,f602]) ).
fof(f1243,plain,
( ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ l1_orders_2(sK4)
| spl30_1
| spl30_3
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f1242,f883]) ).
fof(f1244,plain,
( ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| spl30_1
| spl30_3
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f1243,f389]) ).
fof(f1245,plain,
( ~ spl30_14
| spl30_1
| spl30_3
| ~ spl30_7 ),
inference(avatar_split_clause,[],[f1244,f1067,f882,f766,f1193]) ).
fof(f1246,plain,
( ~ sP2(sK4)
| spl30_14 ),
inference(resolution,[],[f1194,f621]) ).
fof(f1249,plain,
( v3_struct_0(sK4)
| ~ v2_orders_2(sK4)
| ~ l1_orders_2(sK4)
| spl30_14 ),
inference(resolution,[],[f1246,f627]) ).
fof(f1250,plain,
( ~ v2_orders_2(sK4)
| ~ l1_orders_2(sK4)
| spl30_3
| spl30_14 ),
inference(forward_subsumption_resolution,[],[f1249,f883]) ).
fof(f1251,plain,
( ~ l1_orders_2(sK4)
| spl30_3
| spl30_14 ),
inference(forward_subsumption_resolution,[],[f1250,f395]) ).
fof(f1252,plain,
( $false
| spl30_3
| spl30_14 ),
inference(forward_subsumption_resolution,[],[f1251,f389]) ).
fof(f1253,plain,
( spl30_3
| spl30_14 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
cnf(s1,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f773]) ).
cnf(s5,plain,
~ spl30_3,
inference(sat_conversion,[],[f900]) ).
cnf(s6,plain,
( spl30_2
| spl30_3
| ~ spl30_6
| ~ spl30_7 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s8,plain,
( spl30_3
| spl30_6 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s9,plain,
spl30_7,
inference(sat_conversion,[],[f1110]) ).
cnf(s19,plain,
( spl30_1
| spl30_3
| ~ spl30_7
| ~ spl30_14 ),
inference(sat_conversion,[],[f1245]) ).
cnf(s20,plain,
( spl30_3
| spl30_14 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s21,plain,
( spl30_2
| spl30_3
| ~ spl30_6 ),
inference(rat,[],[s6,s9]) ).
cnf(s22,plain,
spl30_14,
inference(rat,[],[s20,s5]) ).
cnf(s23,plain,
spl30_1,
inference(rat,[],[s19,s22,s9,s5]) ).
cnf(s24,plain,
spl30_6,
inference(rat,[],[s8,s5]) ).
cnf(s25,plain,
spl30_2,
inference(rat,[],[s21,s24,s5]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s25,s23]) ).
fof(f1254,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n026.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 27 15:01:02 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/6.31 % (2945677)Detected formulas, will run a generic FOF schedule.
% 1.65/6.31 % (2945686)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2166397229:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.65/6.31 % (2945686)Refutation not found, incomplete strategy
% 1.65/6.31 % (2945686)------------------------------
% 1.65/6.31 % (2945686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.65/6.31 % (2945686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/6.31 % (2945686)CaDiCaL version: 2.1.3
% 1.65/6.31 % (2945686)Termination reason: Refutation not found, incomplete strategy
% 1.65/6.31 % (2945686)Time elapsed: 0.002 s
% 1.65/6.31 % (2945686)Peak memory usage: 88 MB
% 1.65/6.31 % (2945686)Instructions burned: 5 (million)
% 1.65/6.31 % (2945687)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3822166105:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.65/6.31 % (2945683)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=3431669016:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.65/6.31 % (2945682)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=1370015714:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.65/6.31 % (2945685)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1292585323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.65/6.31 % (2945685)Refutation not found, incomplete strategy
% 1.65/6.31 % (2945685)------------------------------
% 1.65/6.31 % (2945685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.65/6.31 % (2945685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/6.31 % (2945685)CaDiCaL version: 2.1.3
% 1.65/6.31 % (2945685)Termination reason: Refutation not found, incomplete strategy
% 1.65/6.31 % (2945685)Time elapsed: 0.002 s
% 1.65/6.31 % (2945685)Peak memory usage: 88 MB
% 1.65/6.31 % (2945685)Instructions burned: 1 (million)
% 1.65/6.31 % (2945684)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=2008563508:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.65/6.31 % (2945688)dis-21_1_sil=8000:lcm=predicate:random_seed=1081952843:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.65/6.31 % (2945687)First to succeed.
% 1.65/6.31 % (2945687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2945677"
% 1.65/6.31 % (2945688)Also succeeded, but the first one will report.
% 1.65/6.31 % (2945686)------------------------------
% 1.65/6.31 % (2945686)------------------------------
% 1.65/6.31 % (2945696)lrs+10_1_sil=8000:sp=occurrence:random_seed=2919799475:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.65/6.31 % (2945685)------------------------------
% 1.65/6.31 % (2945685)------------------------------
% 1.65/6.31 % (2945696)Instruction limit reached!
% 1.65/6.31 % (2945696)------------------------------
% 1.65/6.31 % (2945696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.65/6.31 % (2945696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/6.31 % (2945696)CaDiCaL version: 2.1.3
% 1.65/6.31 % (2945696)Termination reason: Instruction limit
% 1.65/6.31 % (2945696)Termination phase: Saturation
% 1.65/6.31 % (2945696)Time elapsed: 0.073 s
% 1.65/6.31 % (2945687)Refutation found. Thanks to Tanya!
% 1.65/6.31 % SZS status Theorem for theBenchmark
% 1.65/6.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/6.50 % (2945687)------------------------------
% 0.17/6.50 % (2945687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/6.50 % (2945687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/6.50 % (2945687)CaDiCaL version: 2.1.3
% 0.17/6.50 % (2945687)Termination reason: Refutation
% 0.17/6.50 % (2945687)Time elapsed: 0.037 s
% 0.17/6.50 % (2945687)Peak memory usage: 90 MB
% 0.17/6.50 % (2945687)Instructions burned: 63 (million)
% 0.17/6.50 % (2945687)------------------------------
% 0.17/6.50 % (2945687)------------------------------
% 0.17/6.50 % (2945677)Success in time 0.44 s
% 0.17/6.50 % Vampire exiting
%------------------------------------------------------------------------------