%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT356+3 : 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 : n002.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 11:47:16 AM UTC 2026
% Result : Theorem 21.49s 4.12s
% Output : Refutation 22.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 20
% Syntax : Number of formulae : 196 ( 25 unt; 6 def)
% Number of atoms : 1496 ( 69 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 2396 (1096 ~;1093 |; 171 &)
% ( 13 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-4 aty)
% Number of variables : 173 ( 0 sgn 171 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1394,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(f6788,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(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11050,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/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f15220,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/sandbox/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(f15223,axiom,
! [X0] :
( ( ~ v3_struct_0(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))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel_1) ).
fof(f17785,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_waybel22) ).
fof(f18893,axiom,
! [X0,X1,X2] :
( ( 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(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(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(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(f18906,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/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f18907,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/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f18910,axiom,
! [X0,X1,X2] :
( ( 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)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel34) ).
fof(f18919,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/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
fof(f18920,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/sandbox/benchmark/theBenchmark.p',t7_waybel34) ).
fof(f18921,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)],[f18920]) ).
fof(f18996,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(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,[],[f18893]) ).
fof(f18997,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(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,[],[f18996]) ).
fof(f19014,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,[],[f18906]) ).
fof(f19015,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,[],[f19014]) ).
fof(f19016,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,[],[f18907]) ).
fof(f19017,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,[],[f19016]) ).
fof(f19022,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k1_waybel34(X0,X1,X2),X1,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)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f18910]) ).
fof(f19023,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k1_waybel34(X0,X1,X2))
& v1_funct_1(k1_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
& v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k1_waybel34(X0,X1,X2),X1,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)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f19022]) ).
fof(f19040,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,[],[f18919]) ).
fof(f19041,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,[],[f19040]) ).
fof(f19042,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,[],[f18921]) ).
fof(f19043,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,[],[f19042]) ).
fof(f19048,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f19049,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19048]) ).
fof(f19248,plain,
! [X0] :
( v17_waybel_0(k7_grcat_1(X0),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17785]) ).
fof(f19249,plain,
! [X0] :
( v17_waybel_0(k7_grcat_1(X0),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19248]) ).
fof(f19481,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,[],[f11050]) ).
fof(f19975,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,[],[f15220]) ).
fof(f20346,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f20473,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f24473,plain,
! [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))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15223]) ).
fof(f24474,plain,
! [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))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f24473]) ).
fof(f24667,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,[],[f19015]) ).
fof(f24668,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,[],[f19017]) ).
fof(f24669,plain,
( ( k7_grcat_1(sK39) != k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| k7_grcat_1(sK39) != k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) )
& v2_orders_2(sK39)
& v3_orders_2(sK39)
& v4_orders_2(sK39)
& v1_lattice3(sK39)
& v2_lattice3(sK39)
& v3_lattice3(sK39)
& l1_orders_2(sK39) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X0,sK39)],[f19043]) ).
fof(f24673,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,[],[f1394]) ).
fof(f26597,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ 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(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f18997]) ).
fof(f26649,plain,
! [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(cnf_transformation,[],[f24667]) ).
fof(f26650,plain,
! [X2,X3,X0,X1] :
( ~ v17_waybel_0(X2,X0,X1)
| ~ 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)
| k1_waybel34(X0,X1,X2) = X3
| ~ 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,[],[f24667]) ).
fof(f26652,plain,
! [X2,X3,X0,X1] :
( ~ v18_waybel_0(X2,X1,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))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| k2_waybel34(X0,X1,X2) = X3
| ~ 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,[],[f24668]) ).
fof(f26663,plain,
! [X2,X0,X1] :
( ~ v3_lattice3(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)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f19023]) ).
fof(f26704,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,[],[f19041]) ).
fof(f26705,plain,
l1_orders_2(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26706,plain,
v3_lattice3(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26707,plain,
v2_lattice3(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26708,plain,
v1_lattice3(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26709,plain,
v4_orders_2(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26710,plain,
v3_orders_2(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26711,plain,
v2_orders_2(sK39),
inference(cnf_transformation,[],[f24669]) ).
fof(f26712,plain,
( k7_grcat_1(sK39) != k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| k7_grcat_1(sK39) != k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) ),
inference(cnf_transformation,[],[f24669]) ).
fof(f26724,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f24673]) ).
fof(f26725,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f24673]) ).
fof(f26732,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19049]) ).
fof(f27100,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f19249]) ).
fof(f27411,plain,
! [X0] :
( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f19481]) ).
fof(f28267,plain,
! [X0] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19975]) ).
fof(f28268,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19975]) ).
fof(f28891,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f20346]) ).
fof(f29031,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f20473]) ).
fof(f35896,plain,
! [X0] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f24474]) ).
fof(f35899,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f24474]) ).
fof(f37775,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(equality_resolution,[],[f26649]) ).
fof(f39131,definition,
( spl1262_18
<=> k7_grcat_1(sK39) = k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1262_18])],[avatar_definition]) ).
fof(f39132,plain,
( k7_grcat_1(sK39) != k2_waybel34(sK39,sK39,k7_grcat_1(sK39))
| spl1262_18 ),
inference(avatar_component_clause,[],[f39131]) ).
fof(f39134,definition,
( spl1262_19
<=> k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1262_19])],[avatar_definition]) ).
fof(f39136,plain,
( ~ spl1262_18
| ~ spl1262_19 ),
inference(avatar_split_clause,[],[f26712,f39134,f39131]) ).
fof(f39600,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f26724,f27411]) ).
fof(f39603,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f39600,f28891]) ).
fof(f39604,plain,
m1_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39)),
inference(resolution,[],[f39603,f26705]) ).
fof(f39605,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(resolution,[],[f39604,f26597]) ).
fof(f39607,plain,
m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39)),
inference(resolution,[],[f39604,f26725]) ).
fof(f39609,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(duplicate_literal_removal,[],[f39605]) ).
fof(f39611,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39609,f28268]) ).
fof(f39613,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39611,f28267]) ).
fof(f39615,plain,
( ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39613,f26711]) ).
fof(f39617,plain,
( ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39615,f26710]) ).
fof(f39619,plain,
( ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39617,f26709]) ).
fof(f39621,plain,
( ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39619,f26708]) ).
fof(f39623,plain,
( ~ l1_orders_2(sK39)
| v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))) ),
inference(forward_subsumption_resolution,[],[f39621,f26707]) ).
fof(f39625,plain,
v1_funct_1(k1_waybel34(sK39,sK39,k7_grcat_1(sK39))),
inference(forward_subsumption_resolution,[],[f39623,f26705]) ).
fof(f39673,plain,
( v3_struct_0(sK39)
| v17_waybel_0(k7_grcat_1(sK39),sK39,sK39) ),
inference(resolution,[],[f27100,f26705]) ).
fof(f39675,definition,
( spl1262_30
<=> v17_waybel_0(k7_grcat_1(sK39),sK39,sK39) ),
introduced(definition,[new_symbols(definition,[spl1262_30])],[avatar_definition]) ).
fof(f39676,plain,
( v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ spl1262_30 ),
inference(avatar_component_clause,[],[f39675]) ).
fof(f39678,definition,
( spl1262_31
<=> v3_struct_0(sK39) ),
introduced(definition,[new_symbols(definition,[spl1262_31])],[avatar_definition]) ).
fof(f39679,plain,
( v3_struct_0(sK39)
| ~ spl1262_31 ),
inference(avatar_component_clause,[],[f39678]) ).
fof(f39680,plain,
( spl1262_30
| spl1262_31 ),
inference(avatar_split_clause,[],[f39673,f39678,f39675]) ).
fof(f39681,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(sK39)
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(resolution,[],[f39676,f26650]) ).
fof(f39682,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(duplicate_literal_removal,[],[f39681]) ).
fof(f39683,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39682,f28268]) ).
fof(f39684,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39683,f28267]) ).
fof(f39685,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39684,f26706]) ).
fof(f39686,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39685,f39607]) ).
fof(f39687,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39686,f26711]) ).
fof(f39688,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39687,f26710]) ).
fof(f39689,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39688,f26709]) ).
fof(f39690,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39689,f26708]) ).
fof(f39691,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ l1_orders_2(sK39) )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39690,f26707]) ).
fof(f39692,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k1_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0 )
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39691,f26705]) ).
fof(f39693,plain,
( ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_30 ),
inference(resolution,[],[f39692,f26704]) ).
fof(f39696,plain,
( ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39693,f35899]) ).
fof(f39697,plain,
( ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39696,f35896]) ).
fof(f39698,plain,
( k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| v3_struct_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39697,f39607]) ).
fof(f39702,plain,
( k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| v3_struct_0(sK39)
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39698,f26705]) ).
fof(f39703,plain,
( k7_grcat_1(sK39) = k1_waybel34(sK39,sK39,k7_grcat_1(sK39))
| ~ spl1262_19 ),
inference(avatar_component_clause,[],[f39134]) ).
fof(f39704,plain,
( spl1262_31
| spl1262_19
| ~ spl1262_30 ),
inference(avatar_split_clause,[],[f39702,f39675,f39134,f39678]) ).
fof(f39705,plain,
( v1_funct_1(k7_grcat_1(sK39))
| ~ spl1262_19 ),
inference(superposition,[],[f39625,f39703]) ).
fof(f39706,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(superposition,[],[f37775,f39703]) ).
fof(f39711,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(duplicate_literal_removal,[],[f39706]) ).
fof(f39712,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(forward_subsumption_resolution,[],[f39711,f28268]) ).
fof(f39713,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(forward_subsumption_resolution,[],[f39712,f28267]) ).
fof(f39714,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v3_lattice3(sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(forward_subsumption_resolution,[],[f39713,f39607]) ).
fof(f39715,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v17_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19 ),
inference(forward_subsumption_resolution,[],[f39714,f26706]) ).
fof(f39716,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39715,f39676]) ).
fof(f39717,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39716,f26711]) ).
fof(f39718,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39717,f26710]) ).
fof(f39719,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39718,f26709]) ).
fof(f39720,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39719,f26708]) ).
fof(f39721,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39720,f26707]) ).
fof(f39722,plain,
( v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ spl1262_19
| ~ spl1262_30 ),
inference(forward_subsumption_resolution,[],[f39721,f26705]) ).
fof(f39753,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f29031,f28891]) ).
fof(f39754,plain,
u1_struct_0(sK39) = k2_pre_topc(sK39),
inference(resolution,[],[f39753,f26705]) ).
fof(f39757,plain,
m2_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39)),
inference(superposition,[],[f39607,f39754]) ).
fof(f39758,plain,
m1_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39)),
inference(superposition,[],[f39604,f39754]) ).
fof(f39773,plain,
( v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39) ),
inference(superposition,[],[f28267,f39754]) ).
fof(f39778,plain,
v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39)),
inference(forward_subsumption_resolution,[],[f39773,f26705]) ).
fof(f39783,definition,
( spl1262_33
<=> v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1262_33])],[avatar_definition]) ).
fof(f39784,plain,
( v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ spl1262_33 ),
inference(avatar_component_clause,[],[f39783]) ).
fof(f39787,definition,
( spl1262_34
<=> m2_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1262_34])],[avatar_definition]) ).
fof(f39788,plain,
( m2_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ spl1262_34 ),
inference(avatar_component_clause,[],[f39787]) ).
fof(f39802,plain,
spl1262_34,
inference(avatar_split_clause,[],[f39757,f39787]) ).
fof(f39808,plain,
spl1262_33,
inference(avatar_split_clause,[],[f39778,f39783]) ).
fof(f39873,plain,
( ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1262_31 ),
inference(resolution,[],[f39679,f26732]) ).
fof(f39878,plain,
( ~ l1_orders_2(sK39)
| ~ spl1262_31 ),
inference(forward_subsumption_resolution,[],[f39873,f26707]) ).
fof(f39881,plain,
( $false
| ~ spl1262_31 ),
inference(forward_subsumption_resolution,[],[f39878,f26705]) ).
fof(f39882,plain,
~ spl1262_31,
inference(avatar_contradiction_clause,[],[f39881]) ).
fof(f39903,plain,
! [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)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(resolution,[],[f26663,f26706]) ).
fof(f39904,plain,
! [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)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39903,f26711]) ).
fof(f39905,plain,
! [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)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39904,f26710]) ).
fof(f39906,plain,
! [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_lattice3(sK39)
| ~ v2_lattice3(sK39)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39905,f26709]) ).
fof(f39907,plain,
! [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)
| ~ v2_lattice3(sK39)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39906,f26708]) ).
fof(f39908,plain,
! [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)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ l1_orders_2(sK39)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39907,f26707]) ).
fof(f39909,plain,
! [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)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK39))
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_subsumption_resolution,[],[f39908,f26705]) ).
fof(f39910,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK39))
| ~ 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)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ v1_funct_1(X1)
| ~ v17_waybel_0(X1,X0,sK39)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK39)) ),
inference(forward_demodulation,[],[f39909,f39754]) ).
fof(f39911,plain,
! [X0,X1] :
( ~ v3_lattice3(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK39))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),k2_pre_topc(sK39))
| ~ l1_orders_2(X0)
| v18_waybel_0(k1_waybel34(X0,sK39,X1),sK39,X0)
| ~ v1_funct_1(X1)
| ~ v17_waybel_0(X1,X0,sK39) ),
inference(forward_demodulation,[],[f39910,f39754]) ).
fof(f39912,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(resolution,[],[f39911,f26706]) ).
fof(f39913,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39912,f26711]) ).
fof(f39914,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39913,f26710]) ).
fof(f39915,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39914,f26709]) ).
fof(f39916,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ v2_lattice3(sK39)
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39915,f26708]) ).
fof(f39917,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ l1_orders_2(sK39)
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39916,f26707]) ).
fof(f39918,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[],[f39917,f26705]) ).
fof(f39919,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ m1_relset_1(X0,u1_struct_0(sK39),k2_pre_topc(sK39))
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,sK39,sK39) ),
inference(forward_demodulation,[],[f39918,f39754]) ).
fof(f39920,plain,
! [X0] :
( ~ v17_waybel_0(X0,sK39,sK39)
| ~ v1_funct_2(X0,k2_pre_topc(sK39),k2_pre_topc(sK39))
| v18_waybel_0(k1_waybel34(sK39,sK39,X0),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_pre_topc(sK39),k2_pre_topc(sK39)) ),
inference(forward_demodulation,[],[f39919,f39754]) ).
fof(f39921,plain,
( ~ v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| v18_waybel_0(k1_waybel34(sK39,sK39,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ m1_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ spl1262_30 ),
inference(resolution,[],[f39920,f39676]) ).
fof(f39922,plain,
( v18_waybel_0(k1_waybel34(sK39,sK39,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ m1_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39921,f39784]) ).
fof(f39923,plain,
( v18_waybel_0(k1_waybel34(sK39,sK39,k7_grcat_1(sK39)),sK39,sK39)
| ~ m1_relset_1(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39922,f39705]) ).
fof(f39924,plain,
( v18_waybel_0(k1_waybel34(sK39,sK39,k7_grcat_1(sK39)),sK39,sK39)
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39923,f39758]) ).
fof(f39925,plain,
( v18_waybel_0(k7_grcat_1(sK39),sK39,sK39)
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_demodulation,[],[f39924,f39703]) ).
fof(f39928,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| ~ v3_lattice3(sK39)
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(resolution,[],[f39925,f26652]) ).
fof(f39929,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_1(k7_grcat_1(sK39))
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(duplicate_literal_removal,[],[f39928]) ).
fof(f39930,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_funct_2(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39929,f28268]) ).
fof(f39931,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v3_lattice3(sK39)
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39930,f28267]) ).
fof(f39932,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ m2_relset_1(k7_grcat_1(sK39),u1_struct_0(sK39),u1_struct_0(sK39))
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39931,f26706]) ).
fof(f39933,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39932,f39607]) ).
fof(f39934,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39933,f26711]) ).
fof(f39935,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v4_orders_2(sK39)
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39934,f26710]) ).
fof(f39936,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v1_lattice3(sK39)
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39935,f26709]) ).
fof(f39937,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39936,f26708]) ).
fof(f39938,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0
| ~ l1_orders_2(sK39) )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39937,f26707]) ).
fof(f39939,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0 )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_subsumption_resolution,[],[f39938,f26705]) ).
fof(f39940,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK39),u1_struct_0(sK39))
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0 )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_demodulation,[],[f39939,f39754]) ).
fof(f39941,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ v1_funct_2(X0,k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ v3_waybel_1(k1_waybel_1(sK39,sK39,X0,k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(X0)
| k2_waybel34(sK39,sK39,k7_grcat_1(sK39)) = X0 )
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33 ),
inference(forward_demodulation,[],[f39940,f39754]) ).
fof(f39981,plain,
( ~ v1_funct_2(k7_grcat_1(sK39),k2_pre_topc(sK39),k2_pre_topc(sK39))
| ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| k7_grcat_1(sK39) = k2_waybel34(sK39,sK39,k7_grcat_1(sK39))
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(resolution,[],[f39788,f39941]) ).
fof(f39984,plain,
( ~ v3_waybel_1(k1_waybel_1(sK39,sK39,k7_grcat_1(sK39),k7_grcat_1(sK39)),sK39,sK39)
| ~ v1_funct_1(k7_grcat_1(sK39))
| k7_grcat_1(sK39) = k2_waybel34(sK39,sK39,k7_grcat_1(sK39))
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(forward_subsumption_resolution,[],[f39981,f39784]) ).
fof(f39987,plain,
( ~ v1_funct_1(k7_grcat_1(sK39))
| k7_grcat_1(sK39) = k2_waybel34(sK39,sK39,k7_grcat_1(sK39))
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(forward_subsumption_resolution,[],[f39984,f39722]) ).
fof(f39990,plain,
( k7_grcat_1(sK39) = k2_waybel34(sK39,sK39,k7_grcat_1(sK39))
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(forward_subsumption_resolution,[],[f39987,f39705]) ).
fof(f39993,plain,
( $false
| spl1262_18
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(forward_subsumption_resolution,[],[f39990,f39132]) ).
fof(f39994,plain,
( spl1262_18
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(avatar_contradiction_clause,[],[f39993]) ).
cnf(s9,plain,
( ~ spl1262_18
| ~ spl1262_19 ),
inference(sat_conversion,[],[f39136]) ).
cnf(s25,plain,
( spl1262_30
| spl1262_31 ),
inference(sat_conversion,[],[f39680]) ).
cnf(s27,plain,
( spl1262_19
| ~ spl1262_30
| spl1262_31 ),
inference(sat_conversion,[],[f39704]) ).
cnf(s30,plain,
spl1262_34,
inference(sat_conversion,[],[f39802]) ).
cnf(s33,plain,
spl1262_33,
inference(sat_conversion,[],[f39808]) ).
cnf(s37,plain,
~ spl1262_31,
inference(sat_conversion,[],[f39882]) ).
cnf(s40,plain,
( spl1262_18
| ~ spl1262_19
| ~ spl1262_30
| ~ spl1262_33
| ~ spl1262_34 ),
inference(sat_conversion,[],[f39994]) ).
cnf(s42,plain,
( spl1262_19
| ~ spl1262_30 ),
inference(rat,[],[s27,s37]) ).
cnf(s44,plain,
spl1262_30,
inference(rat,[],[s25,s37]) ).
cnf(s45,plain,
spl1262_19,
inference(rat,[],[s42,s44]) ).
cnf(s46,plain,
spl1262_18,
inference(rat,[],[s40,s30,s33,s44,s45]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s9,s45,s46]) ).
fof(f39996,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT356+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 % Computer : n002.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.41 % CPULimit : 300
% 0.09/0.41 % WCLimit : 300
% 0.09/0.41 % DateTime : Sun Sep 27 15:01:34 UTC 2026
% 0.09/0.41 % CPUTime :
% 0.09/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 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
% 11.53/2.74 % (3605571)Detected formulas, will run a generic FOF schedule.
% 11.53/2.74 % (3605582)dis-21_1_sil=8000:lcm=predicate:random_seed=4140427027:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.53/2.74 % (3605580)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=773401028:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.53/2.74 % (3605581)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=574460194:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.53/2.74 % (3605579)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2115411448:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.53/2.74 % (3605576)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=3918074069:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.53/2.74 % (3605578)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=770125429:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.53/2.74 % (3605577)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=142530946:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.53/2.74 % (3605582)Instruction limit reached!
% 11.53/2.74 % (3605582)------------------------------
% 11.53/2.74 % (3605582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.74 % (3605582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.74 % (3605582)CaDiCaL version: 2.1.3
% 11.53/2.74 % (3605582)Termination reason: Instruction limit
% 11.53/2.74 % (3605582)Termination phase: SInE selection
% 11.53/2.74 % (3605582)Time elapsed: 0.048 s
% 11.53/2.74 % (3605582)Peak memory usage: 112 MB
% 11.53/2.74 % (3605582)Instructions burned: 129 (million)
% 11.53/2.74 % (3605581)Instruction limit reached!
% 11.53/2.74 % (3605581)------------------------------
% 11.53/2.74 % (3605581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.74 % (3605581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.74 % (3605581)CaDiCaL version: 2.1.3
% 11.53/2.74 % (3605581)Termination reason: Instruction limit
% 11.53/2.74 % (3605581)Termination phase: Property scanning
% 11.53/2.74 % (3605581)Time elapsed: 0.060 s
% 11.53/2.74 % (3605581)Peak memory usage: 112 MB
% 11.53/2.74 % (3605581)Instructions burned: 140 (million)
% 11.53/2.74 % (3605579)Instruction limit reached!
% 11.53/2.74 % (3605579)------------------------------
% 11.53/2.74 % (3605579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.74 % (3605579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.74 % (3605579)CaDiCaL version: 2.1.3
% 11.53/2.74 % (3605579)Termination reason: Instruction limit
% 11.53/2.74 % (3605579)Termination phase: SInE selection
% 11.53/2.74 % (3605579)Time elapsed: 0.085 s
% 11.53/2.74 % (3605579)Peak memory usage: 112 MB
% 11.53/2.74 % (3605579)Instructions burned: 110 (million)
% 11.53/2.74 % (3605580)Instruction limit reached!
% 11.53/2.74 % (3605580)------------------------------
% 11.53/2.74 % (3605580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.74 % (3605580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.74 % (3605580)CaDiCaL version: 2.1.3
% 11.53/2.74 % (3605580)Termination reason: Instruction limit
% 11.53/2.74 % (3605580)Termination phase: Preprocessing 1
% 11.53/2.74 % (3605580)Time elapsed: 0.101 s
% 11.53/2.74 % (3605580)Peak memory usage: 112 MB
% 11.53/2.74 % (3605580)Instructions burned: 119 (million)
% 11.53/2.74 % (3605590)lrs+10_1_sil=8000:sp=occurrence:random_seed=4220722498:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.53/2.74 % (3605591)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1863760538:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.53/2.74 % (3605592)lrs+1011_1_sil=32000:sp=occurrence:random_seed=93810763:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.53/2.74 % (3605593)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=3637405729:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.53/2.74 % (3605590)Instruction limit reached!
% 18.64/3.76 % (3605590)------------------------------
% 18.64/3.76 % (3605590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605590)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605590)Termination reason: Instruction limit
% 18.64/3.76 % (3605590)Termination phase: Saturation
% 18.64/3.76 % (3605590)Time elapsed: 0.117 s
% 18.64/3.76 % (3605590)Peak memory usage: 119 MB
% 18.64/3.76 % (3605590)Instructions burned: 287 (million)
% 18.64/3.76 % (3605591)Instruction limit reached!
% 18.64/3.76 % (3605591)------------------------------
% 18.64/3.76 % (3605591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605591)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605591)Termination reason: Instruction limit
% 18.64/3.76 % (3605591)Termination phase: Property scanning
% 18.64/3.76 % (3605591)Time elapsed: 0.068 s
% 18.64/3.76 % (3605591)Peak memory usage: 112 MB
% 18.64/3.76 % (3605591)Instructions burned: 157 (million)
% 18.64/3.76 % (3605592)Refutation not found, incomplete strategy
% 18.64/3.76 % (3605592)------------------------------
% 18.64/3.76 % (3605592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605592)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605592)Termination reason: Refutation not found, incomplete strategy
% 18.64/3.76 % (3605592)Time elapsed: 0.107 s
% 18.64/3.76 % (3605592)Peak memory usage: 117 MB
% 18.64/3.76 % (3605592)Instructions burned: 117 (million)
% 18.64/3.76 % (3605593)Instruction limit reached!
% 18.64/3.76 % (3605593)------------------------------
% 18.64/3.76 % (3605593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605593)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605593)Termination reason: Instruction limit
% 18.64/3.76 % (3605593)Termination phase: Property scanning
% 18.64/3.76 % (3605593)Time elapsed: 0.107 s
% 18.64/3.76 % (3605593)Peak memory usage: 112 MB
% 18.64/3.76 % (3605593)Instructions burned: 249 (million)
% 18.64/3.76 % (3605598)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2726939171:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 18.64/3.76 % (3605599)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4040439947:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 18.64/3.76 % (3605598)Instruction limit reached!
% 18.64/3.76 % (3605598)------------------------------
% 18.64/3.76 % (3605598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605598)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605598)Termination reason: Instruction limit
% 18.64/3.76 % (3605598)Termination phase: Property scanning
% 18.64/3.76 % (3605598)Time elapsed: 0.120 s
% 18.64/3.76 % (3605598)Peak memory usage: 117 MB
% 18.64/3.76 % (3605598)Instructions burned: 298 (million)
% 18.64/3.76 % (3605600)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2067450415:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 18.64/3.76 % (3605600)Instruction limit reached!
% 18.64/3.76 % (3605600)------------------------------
% 18.64/3.76 % (3605600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.76 % (3605600)CaDiCaL version: 2.1.3
% 18.64/3.76 % (3605600)Termination reason: Instruction limit
% 18.64/3.76 % (3605600)Termination phase: SInE selection
% 18.64/3.76 % (3605600)Time elapsed: 0.087 s
% 18.64/3.76 % (3605600)Peak memory usage: 112 MB
% 18.64/3.76 % (3605600)Instructions burned: 113 (million)
% 18.64/3.76 % (3605592)------------------------------
% 18.64/3.76 % (3605592)------------------------------
% 18.64/3.76 % (3605603)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3527744403:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 18.64/3.76 % (3605603)Instruction limit reached!
% 18.64/3.76 % (3605603)------------------------------
% 18.64/3.76 % (3605603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.64/3.76 % (3605603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605603)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605603)Termination reason: Instruction limit
% 21.49/4.12 % (3605603)Termination phase: Preprocessing 1
% 21.49/4.12 % (3605603)Time elapsed: 0.054 s
% 21.49/4.12 % (3605603)Peak memory usage: 113 MB
% 21.49/4.12 % (3605603)Instructions burned: 130 (million)
% 21.49/4.12 % (3605605)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=986506142:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 21.49/4.12 % (3605606)lrs+10_1_sil=8000:sp=occurrence:random_seed=3931738959:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 21.49/4.12 % (3605608)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1107641496:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 21.49/4.12 % (3605605)Instruction limit reached!
% 21.49/4.12 % (3605605)------------------------------
% 21.49/4.12 % (3605605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605605)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605605)Termination reason: Instruction limit
% 21.49/4.12 % (3605605)Termination phase: Property scanning
% 21.49/4.12 % (3605605)Time elapsed: 0.052 s
% 21.49/4.12 % (3605605)Peak memory usage: 112 MB
% 21.49/4.12 % (3605605)Instructions burned: 116 (million)
% 21.49/4.12 % (3605608)Refutation not found, incomplete strategy
% 21.49/4.12 % (3605608)------------------------------
% 21.49/4.12 % (3605608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605608)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605608)Termination reason: Refutation not found, incomplete strategy
% 21.49/4.12 % (3605608)Time elapsed: 0.076 s
% 21.49/4.12 % (3605608)Peak memory usage: 118 MB
% 21.49/4.12 % (3605608)Instructions burned: 172 (million)
% 21.49/4.12 % (3605612)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4252079267:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 21.49/4.12 % (3605608)------------------------------
% 21.49/4.12 % (3605608)------------------------------
% 21.49/4.12 % (3605614)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=323426735:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 21.49/4.12 % (3605614)Instruction limit reached!
% 21.49/4.12 % (3605614)------------------------------
% 21.49/4.12 % (3605614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605614)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605614)Termination reason: Instruction limit
% 21.49/4.12 % (3605614)Termination phase: NewCNF
% 21.49/4.12 % (3605614)Time elapsed: 0.069 s
% 21.49/4.12 % (3605614)Peak memory usage: 115 MB
% 21.49/4.12 % (3605614)Instructions burned: 137 (million)
% 21.49/4.12 % (3605616)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=694067941:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 21.49/4.12 % (3605606)Instruction limit reached!
% 21.49/4.12 % (3605606)------------------------------
% 21.49/4.12 % (3605606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605606)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605606)Termination reason: Instruction limit
% 21.49/4.12 % (3605606)Termination phase: Saturation
% 21.49/4.12 % (3605606)Time elapsed: 0.549 s
% 21.49/4.12 % (3605606)Peak memory usage: 132 MB
% 21.49/4.12 % (3605606)Instructions burned: 909 (million)
% 21.49/4.12 % (3605618)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3815718623:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 21.49/4.12 % (3605616)Instruction limit reached!
% 21.49/4.12 % (3605616)------------------------------
% 21.49/4.12 % (3605616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605616)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605616)Termination reason: Instruction limit
% 21.49/4.12 % (3605616)Termination phase: Preprocessing 3
% 21.49/4.12 % (3605616)Time elapsed: 0.280 s
% 21.49/4.12 % (3605616)Peak memory usage: 134 MB
% 21.49/4.12 % (3605616)Instructions burned: 594 (million)
% 21.49/4.12 % (3605620)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=3224885300:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 21.49/4.12 % (3605620)Instruction limit reached!
% 21.49/4.12 % (3605620)------------------------------
% 21.49/4.12 % (3605620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605620)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605620)Termination reason: Instruction limit
% 21.49/4.12 % (3605620)Termination phase: Property scanning
% 21.49/4.12 % (3605620)Time elapsed: 0.031 s
% 21.49/4.12 % (3605620)Peak memory usage: 112 MB
% 21.49/4.12 % (3605620)Instructions burned: 130 (million)
% 21.49/4.12 % (3605599)Instruction limit reached!
% 21.49/4.12 % (3605599)------------------------------
% 21.49/4.12 % (3605599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605599)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605599)Termination reason: Instruction limit
% 21.49/4.12 % (3605599)Termination phase: Property scanning
% 21.49/4.12 % (3605599)Time elapsed: 1.283 s
% 21.49/4.12 % (3605599)Peak memory usage: 170 MB
% 21.49/4.12 % (3605599)Instructions burned: 2352 (million)
% 21.49/4.12 % (3605622)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=886185717:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 21.49/4.12 % (3605623)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4174537069:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 21.49/4.12 % (3605622)Instruction limit reached!
% 21.49/4.12 % (3605622)------------------------------
% 21.49/4.12 % (3605622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605622)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605622)Termination reason: Instruction limit
% 21.49/4.12 % (3605622)Termination phase: Property scanning
% 21.49/4.12 % (3605622)Time elapsed: 0.060 s
% 21.49/4.12 % (3605622)Peak memory usage: 112 MB
% 21.49/4.12 % (3605622)Instructions burned: 134 (million)
% 21.49/4.12 % (3605623)Refutation not found, incomplete strategy
% 21.49/4.12 % (3605623)------------------------------
% 21.49/4.12 % (3605623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605623)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605623)Termination reason: Refutation not found, incomplete strategy
% 21.49/4.12 % (3605623)Time elapsed: 0.103 s
% 21.49/4.12 % (3605623)Peak memory usage: 117 MB
% 21.49/4.12 % (3605623)Instructions burned: 120 (million)
% 21.49/4.12 % (3605626)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1906637916:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 21.49/4.12 % (3605623)------------------------------
% 21.49/4.12 % (3605623)------------------------------
% 21.49/4.12 % (3605626)Instruction limit reached!
% 21.49/4.12 % (3605626)------------------------------
% 21.49/4.12 % (3605626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605626)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605626)Termination reason: Instruction limit
% 21.49/4.12 % (3605626)Termination phase: Saturation
% 21.49/4.12 % (3605626)Time elapsed: 0.278 s
% 21.49/4.12 % (3605626)Peak memory usage: 121 MB
% 21.49/4.12 % (3605626)Instructions burned: 431 (million)
% 21.49/4.12 % (3605628)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=1461226097:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 21.49/4.12 % (3605629)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=1724673786:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 21.49/4.12 % (3605629)Instruction limit reached!
% 21.49/4.12 % (3605629)------------------------------
% 21.49/4.12 % (3605629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/4.12 % (3605629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/4.12 % (3605629)CaDiCaL version: 2.1.3
% 21.49/4.12 % (3605629)Termination reason: Instruction limit
% 21.49/4.12 % (3605629)Termination phase: Preprocessing 1
% 21.49/4.12 % (3605629)Time elapsed: 0.125 s
% 21.49/4.12 % (3605629)Peak memory usage: 113 MB
% 21.49/4.12 % (3605629)Instructions burned: 151 (million)
% 21.49/4.12 % (3605577)First to succeed.
% 21.49/4.12 % (3605632)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2645670519:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 21.49/4.12 % (3605577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3605571"
% 21.49/4.12 % (3605577)Refutation found. Thanks to Tanya!
% 21.49/4.12 % SZS status Theorem for theBenchmark
% 21.49/4.12 % SZS output start Proof for theBenchmark
% See solution above
% 22.19/4.34 % (3605577)------------------------------
% 22.19/4.34 % (3605577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/4.34 % (3605577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/4.34 % (3605577)CaDiCaL version: 2.1.3
% 22.19/4.34 % (3605577)Termination reason: Refutation
% 22.19/4.34 % (3605577)Time elapsed: 2.684 s
% 22.19/4.34 % (3605577)Peak memory usage: 272 MB
% 22.19/4.34 % (3605577)Instructions burned: 5665 (million)
% 22.19/4.34 % (3605577)------------------------------
% 22.19/4.34 % (3605577)------------------------------
% 22.19/4.34 % (3605571)Success in time 3.477 s
% 22.19/4.34 % Vampire exiting
%------------------------------------------------------------------------------