%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT356+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 13.15s 3.75s
% Output : Refutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 121 ( 18 unt; 7 def)
% Number of atoms : 824 ( 44 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 1214 ( 511 ~; 505 |; 167 &)
% ( 12 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 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 : 77 ( 0 sgn 75 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5854,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f6700,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(f6865,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f8326,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(f9232,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/sandbox/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(f10327,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(f10328,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(f10340,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(f10341,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(f10342,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)],[f10341]) ).
fof(f10399,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,[],[f10327]) ).
fof(f10400,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,[],[f10399]) ).
fof(f10401,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,[],[f10328]) ).
fof(f10402,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,[],[f10401]) ).
fof(f10425,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,[],[f10340]) ).
fof(f10426,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,[],[f10425]) ).
fof(f10427,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,[],[f10342]) ).
fof(f10428,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,[],[f10427]) ).
fof(f10431,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6865]) ).
fof(f10432,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10431]) ).
fof(f10686,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))
& 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) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f9232]) ).
fof(f10687,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))
& 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) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10686]) ).
fof(f10773,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,[],[f6700]) ).
fof(f11215,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,[],[f8326]) ).
fof(f11264,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5854]) ).
fof(f12927,definition,
! [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) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12928,plain,
! [X0] :
( sP2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f10687,f12927]) ).
fof(f12964,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,[],[f10400]) ).
fof(f12965,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,[],[f10402]) ).
fof(f12966,plain,
( ( k7_grcat_1(sK24) != k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| k7_grcat_1(sK24) != k2_waybel34(sK24,sK24,k7_grcat_1(sK24)) )
& v2_orders_2(sK24)
& v3_orders_2(sK24)
& v4_orders_2(sK24)
& v1_lattice3(sK24)
& v2_lattice3(sK24)
& v3_lattice3(sK24)
& l1_orders_2(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f10428]) ).
fof(f13063,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))
& 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) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f12927]) ).
fof(f13931,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) = 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,[],[f12964]) ).
fof(f13933,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) = 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(cnf_transformation,[],[f12965]) ).
fof(f13985,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,[],[f10426]) ).
fof(f13986,plain,
l1_orders_2(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13987,plain,
v3_lattice3(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13988,plain,
v2_lattice3(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13989,plain,
v1_lattice3(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13990,plain,
v4_orders_2(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13991,plain,
v3_orders_2(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13992,plain,
v2_orders_2(sK24),
inference(cnf_transformation,[],[f12966]) ).
fof(f13993,plain,
( k7_grcat_1(sK24) != k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| k7_grcat_1(sK24) != k2_waybel34(sK24,sK24,k7_grcat_1(sK24)) ),
inference(cnf_transformation,[],[f12966]) ).
fof(f14009,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10432]) ).
fof(f14498,plain,
! [X0] :
( ~ sP2(X0)
| v18_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f13063]) ).
fof(f14499,plain,
! [X0] :
( ~ sP2(X0)
| v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f13063]) ).
fof(f14508,plain,
! [X0] :
( ~ v2_orders_2(X0)
| v3_struct_0(X0)
| sP2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f12928]) ).
fof(f14586,plain,
! [X0] :
( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10773]) ).
fof(f15395,plain,
! [X0] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f11215]) ).
fof(f15396,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v1_funct_1(k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f11215]) ).
fof(f15466,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f11264]) ).
fof(f19565,definition,
( spl601_13
<=> k7_grcat_1(sK24) = k2_waybel34(sK24,sK24,k7_grcat_1(sK24)) ),
introduced(definition,[new_symbols(definition,[spl601_13])],[avatar_definition]) ).
fof(f19566,plain,
( k7_grcat_1(sK24) != k2_waybel34(sK24,sK24,k7_grcat_1(sK24))
| spl601_13 ),
inference(avatar_component_clause,[],[f19565]) ).
fof(f19568,definition,
( spl601_14
<=> k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24)) ),
introduced(definition,[new_symbols(definition,[spl601_14])],[avatar_definition]) ).
fof(f19570,plain,
( ~ spl601_13
| ~ spl601_14 ),
inference(avatar_split_clause,[],[f13993,f19568,f19565]) ).
fof(f19708,definition,
( spl601_16
<=> v3_struct_0(sK24) ),
introduced(definition,[new_symbols(definition,[spl601_16])],[avatar_definition]) ).
fof(f19709,plain,
( v3_struct_0(sK24)
| ~ spl601_16 ),
inference(avatar_component_clause,[],[f19708]) ).
fof(f19711,plain,
v1_funct_1(k7_grcat_1(sK24)),
inference(resolution,[],[f15396,f13986]) ).
fof(f19713,plain,
! [X2,X0,X1] :
( ~ v17_waybel_0(X2,X0,X1)
| k1_waybel34(X0,X1,X2) = k7_grcat_1(sK24)
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,k7_grcat_1(sK24)),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(resolution,[],[f19711,f13931]) ).
fof(f19715,plain,
! [X2,X0,X1] :
( ~ v18_waybel_0(X2,X1,X0)
| k2_waybel34(X0,X1,X2) = k7_grcat_1(sK24)
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,k7_grcat_1(sK24),X2),X0,X1)
| ~ 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(resolution,[],[f19711,f13933]) ).
fof(f19716,plain,
( v3_struct_0(sK24)
| sP2(sK24)
| ~ l1_orders_2(sK24) ),
inference(resolution,[],[f14508,f13992]) ).
fof(f19717,plain,
( v3_struct_0(sK24)
| sP2(sK24) ),
inference(forward_subsumption_resolution,[],[f19716,f13986]) ).
fof(f19719,definition,
( spl601_17
<=> sP2(sK24) ),
introduced(definition,[new_symbols(definition,[spl601_17])],[avatar_definition]) ).
fof(f19720,plain,
( sP2(sK24)
| ~ spl601_17 ),
inference(avatar_component_clause,[],[f19719]) ).
fof(f19721,plain,
( spl601_17
| spl601_16 ),
inference(avatar_split_clause,[],[f19717,f19708,f19719]) ).
fof(f19724,plain,
( ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_16 ),
inference(resolution,[],[f19709,f14009]) ).
fof(f19729,plain,
( ~ l1_orders_2(sK24)
| ~ spl601_16 ),
inference(forward_subsumption_resolution,[],[f19724,f13988]) ).
fof(f19732,plain,
( $false
| ~ spl601_16 ),
inference(forward_subsumption_resolution,[],[f19729,f13986]) ).
fof(f19733,plain,
~ spl601_16,
inference(avatar_contradiction_clause,[],[f19732]) ).
fof(f19734,plain,
( v17_waybel_0(k7_grcat_1(sK24),sK24,sK24)
| ~ spl601_17 ),
inference(resolution,[],[f19720,f14499]) ).
fof(f19737,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(resolution,[],[f19734,f19713]) ).
fof(f19738,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(duplicate_literal_removal,[],[f19737]) ).
fof(f19740,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19738,f15395]) ).
fof(f19742,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19740,f15396]) ).
fof(f19760,definition,
( spl601_18
<=> m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24)) ),
introduced(definition,[new_symbols(definition,[spl601_18])],[avatar_definition]) ).
fof(f19761,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| spl601_18 ),
inference(avatar_component_clause,[],[f19760]) ).
fof(f19767,definition,
( spl601_20
<=> v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24) ),
introduced(definition,[new_symbols(definition,[spl601_20])],[avatar_definition]) ).
fof(f19768,plain,
( ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| spl601_20 ),
inference(avatar_component_clause,[],[f19767]) ).
fof(f19770,plain,
( ~ l1_struct_0(sK24)
| spl601_18 ),
inference(resolution,[],[f19761,f14586]) ).
fof(f19772,plain,
( ~ l1_orders_2(sK24)
| spl601_18 ),
inference(resolution,[],[f19770,f15466]) ).
fof(f19774,plain,
( $false
| spl601_18 ),
inference(forward_subsumption_resolution,[],[f19772,f13986]) ).
fof(f19775,plain,
spl601_18,
inference(avatar_contradiction_clause,[],[f19774]) ).
fof(f19776,plain,
( v3_struct_0(sK24)
| ~ l1_orders_2(sK24)
| spl601_20 ),
inference(resolution,[],[f19768,f13985]) ).
fof(f19777,plain,
( v3_struct_0(sK24)
| spl601_20 ),
inference(forward_subsumption_resolution,[],[f19776,f13986]) ).
fof(f19778,plain,
( spl601_16
| spl601_20 ),
inference(avatar_split_clause,[],[f19777,f19767,f19708]) ).
fof(f19779,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19742,f13987]) ).
fof(f19780,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19779,f13992]) ).
fof(f19781,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19780,f13991]) ).
fof(f19782,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19781,f13990]) ).
fof(f19783,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19782,f13989]) ).
fof(f19784,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19783,f13988]) ).
fof(f19785,plain,
( k7_grcat_1(sK24) = k1_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19784,f13986]) ).
fof(f19787,plain,
( ~ spl601_20
| ~ spl601_18
| spl601_14
| ~ spl601_17 ),
inference(avatar_split_clause,[],[f19785,f19719,f19568,f19760,f19767]) ).
fof(f19842,plain,
( v18_waybel_0(k7_grcat_1(sK24),sK24,sK24)
| ~ spl601_17 ),
inference(resolution,[],[f14498,f19720]) ).
fof(f19855,plain,
( v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ spl601_20 ),
inference(avatar_component_clause,[],[f19767]) ).
fof(f19873,plain,
( k7_grcat_1(sK24) = k2_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(resolution,[],[f19842,f19715]) ).
fof(f19874,plain,
( k7_grcat_1(sK24) = k2_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ v1_funct_2(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(duplicate_literal_removal,[],[f19873]) ).
fof(f19877,plain,
( k7_grcat_1(sK24) = k2_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v1_funct_1(k7_grcat_1(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19874,f15395]) ).
fof(f19880,plain,
( k7_grcat_1(sK24) = k2_waybel34(sK24,sK24,k7_grcat_1(sK24))
| ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19877,f15396]) ).
fof(f19883,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_lattice3(sK24)
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19880,f19566]) ).
fof(f19886,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_waybel_1(k1_waybel_1(sK24,sK24,k7_grcat_1(sK24),k7_grcat_1(sK24)),sK24,sK24)
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17 ),
inference(forward_subsumption_resolution,[],[f19883,f13987]) ).
fof(f19889,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v2_orders_2(sK24)
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19886,f19855]) ).
fof(f19892,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_orders_2(sK24)
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19889,f13992]) ).
fof(f19895,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v4_orders_2(sK24)
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19892,f13991]) ).
fof(f19898,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_lattice3(sK24)
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19895,f13990]) ).
fof(f19901,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v2_lattice3(sK24)
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19898,f13989]) ).
fof(f19904,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_orders_2(sK24)
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19901,f13988]) ).
fof(f19922,plain,
( ~ m2_relset_1(k7_grcat_1(sK24),u1_struct_0(sK24),u1_struct_0(sK24))
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(forward_subsumption_resolution,[],[f19904,f13986]) ).
fof(f19923,plain,
( ~ spl601_18
| spl601_13
| ~ spl601_17
| ~ spl601_20 ),
inference(avatar_split_clause,[],[f19922,f19767,f19719,f19565,f19760]) ).
cnf(s8,plain,
( ~ spl601_13
| ~ spl601_14 ),
inference(sat_conversion,[],[f19570]) ).
cnf(s10,plain,
( spl601_16
| spl601_17 ),
inference(sat_conversion,[],[f19721]) ).
cnf(s14,plain,
~ spl601_16,
inference(sat_conversion,[],[f19733]) ).
cnf(s18,plain,
spl601_18,
inference(sat_conversion,[],[f19775]) ).
cnf(s19,plain,
( spl601_16
| spl601_20 ),
inference(sat_conversion,[],[f19778]) ).
cnf(s20,plain,
( spl601_14
| ~ spl601_17
| ~ spl601_18
| ~ spl601_20 ),
inference(sat_conversion,[],[f19787]) ).
cnf(s26,plain,
( spl601_13
| ~ spl601_17
| ~ spl601_18
| ~ spl601_20 ),
inference(sat_conversion,[],[f19923]) ).
cnf(s29,plain,
spl601_20,
inference(rat,[],[s19,s14]) ).
cnf(s30,plain,
spl601_17,
inference(rat,[],[s10,s14]) ).
cnf(s31,plain,
spl601_13,
inference(rat,[],[s26,s29,s18,s30]) ).
cnf(s33,plain,
spl601_14,
inference(rat,[],[s20,s29,s18,s30]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s8,s33,s31]) ).
fof(f19924,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:58:37 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 15.00/3.43 % (1058859)Detected formulas, will run a generic FOF schedule.
% 15.00/3.43 % (1058866)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=2360604312:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 15.00/3.43 % (1058865)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=828960302:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 15.00/3.43 % (1058869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1204682403:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 15.00/3.43 % (1058868)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1202469667:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 15.00/3.43 % (1058864)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=3928288399:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 15.00/3.43 % (1058870)dis-21_1_sil=8000:lcm=predicate:random_seed=2415625242:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 15.00/3.43 % (1058867)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1547652044:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 15.00/3.43 % (1058867)Refutation not found, incomplete strategy
% 15.00/3.43 % (1058867)------------------------------
% 15.00/3.43 % (1058867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.43 % (1058867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.43 % (1058867)CaDiCaL version: 2.1.3
% 15.00/3.43 % (1058867)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.43 % (1058867)Time elapsed: 0.052 s
% 15.00/3.43 % (1058867)Peak memory usage: 103 MB
% 15.00/3.43 % (1058867)Instructions burned: 63 (million)
% 15.00/3.43 % (1058869)Instruction limit reached!
% 15.00/3.43 % (1058869)------------------------------
% 15.00/3.43 % (1058869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.43 % (1058869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.43 % (1058869)CaDiCaL version: 2.1.3
% 15.00/3.43 % (1058869)Termination reason: Instruction limit
% 15.00/3.43 % (1058869)Termination phase: Property scanning
% 15.00/3.43 % (1058869)Time elapsed: 0.061 s
% 15.00/3.43 % (1058869)Peak memory usage: 98 MB
% 15.00/3.43 % (1058869)Instructions burned: 141 (million)
% 15.00/3.43 % (1058868)Instruction limit reached!
% 15.00/3.43 % (1058868)------------------------------
% 15.00/3.43 % (1058868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.43 % (1058868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.43 % (1058868)CaDiCaL version: 2.1.3
% 15.00/3.43 % (1058868)Termination reason: Instruction limit
% 15.00/3.43 % (1058868)Termination phase: Preprocessing 3
% 15.00/3.43 % (1058868)Time elapsed: 0.097 s
% 15.00/3.43 % (1058868)Peak memory usage: 102 MB
% 15.00/3.43 % (1058868)Instructions burned: 120 (million)
% 15.00/3.43 % (1058870)Instruction limit reached!
% 15.00/3.43 % (1058870)------------------------------
% 15.00/3.43 % (1058870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.43 % (1058870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.43 % (1058870)CaDiCaL version: 2.1.3
% 15.00/3.43 % (1058870)Termination reason: Instruction limit
% 15.00/3.43 % (1058870)Termination phase: Preprocessing 1
% 15.00/3.43 % (1058870)Time elapsed: 0.098 s
% 15.00/3.43 % (1058870)Peak memory usage: 99 MB
% 15.00/3.43 % (1058870)Instructions burned: 129 (million)
% 15.00/3.43 % (1058878)lrs+10_1_sil=8000:sp=occurrence:random_seed=1370182004:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 15.00/3.43 % (1058880)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3327396865:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 15.00/3.43 % (1058879)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1221391259:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 15.00/3.43 % (1058867)------------------------------
% 15.00/3.43 % (1058867)------------------------------
% 15.00/3.43 % (1058880)Refutation not found, incomplete strategy
% 15.00/3.43 % (1058880)------------------------------
% 15.00/3.43 % (1058880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058880)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058880)Termination reason: Refutation not found, incomplete strategy
% 13.15/3.75 % (1058880)Time elapsed: 0.052 s
% 13.15/3.75 % (1058880)Peak memory usage: 103 MB
% 13.15/3.75 % (1058880)Instructions burned: 60 (million)
% 13.15/3.75 % (1058879)Instruction limit reached!
% 13.15/3.75 % (1058879)------------------------------
% 13.15/3.75 % (1058879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058879)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058879)Termination reason: Instruction limit
% 13.15/3.75 % (1058879)Termination phase: SInE selection
% 13.15/3.75 % (1058879)Time elapsed: 0.074 s
% 13.15/3.75 % (1058879)Peak memory usage: 99 MB
% 13.15/3.75 % (1058879)Instructions burned: 158 (million)
% 13.15/3.75 % (1058878)Instruction limit reached!
% 13.15/3.75 % (1058878)------------------------------
% 13.15/3.75 % (1058878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058878)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058878)Termination reason: Instruction limit
% 13.15/3.75 % (1058878)Termination phase: Saturation
% 13.15/3.75 % (1058878)Time elapsed: 0.178 s
% 13.15/3.75 % (1058878)Peak memory usage: 107 MB
% 13.15/3.75 % (1058878)Instructions burned: 285 (million)
% 13.15/3.75 % (1058885)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4136041627:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 13.15/3.75 % (1058884)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=1436630132:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 13.15/3.75 % (1058880)------------------------------
% 13.15/3.75 % (1058880)------------------------------
% 13.15/3.75 % (1058885)Instruction limit reached!
% 13.15/3.75 % (1058885)------------------------------
% 13.15/3.75 % (1058885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058885)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058885)Termination reason: Instruction limit
% 13.15/3.75 % (1058885)Termination phase: Saturation
% 13.15/3.75 % (1058885)Time elapsed: 0.101 s
% 13.15/3.75 % (1058885)Peak memory usage: 107 MB
% 13.15/3.75 % (1058885)Instructions burned: 296 (million)
% 13.15/3.75 % (1058886)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2341258109:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 13.15/3.75 % (1058884)Instruction limit reached!
% 13.15/3.75 % (1058884)------------------------------
% 13.15/3.75 % (1058884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058884)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058884)Termination reason: Instruction limit
% 13.15/3.75 % (1058884)Termination phase: Preprocessing 1
% 13.15/3.75 % (1058884)Time elapsed: 0.143 s
% 13.15/3.75 % (1058884)Peak memory usage: 100 MB
% 13.15/3.75 % (1058884)Instructions burned: 249 (million)
% 13.15/3.75 % (1058890)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=830236764:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 13.15/3.75 % (1058889)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3291046392:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 13.15/3.75 % (1058890)Instruction limit reached!
% 13.15/3.75 % (1058890)------------------------------
% 13.15/3.75 % (1058890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058890)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058890)Termination reason: Instruction limit
% 13.15/3.75 % (1058890)Termination phase: Preprocessing 2
% 13.15/3.75 % (1058890)Time elapsed: 0.065 s
% 13.15/3.75 % (1058890)Peak memory usage: 107 MB
% 13.15/3.75 % (1058890)Instructions burned: 129 (million)
% 13.15/3.75 % (1058892)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2147006074:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 13.15/3.75 % (1058889)Instruction limit reached!
% 13.15/3.75 % (1058889)------------------------------
% 13.15/3.75 % (1058889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058889)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058889)Termination reason: Instruction limit
% 13.15/3.75 % (1058889)Termination phase: Preprocessing 3
% 13.15/3.75 % (1058889)Time elapsed: 0.097 s
% 13.15/3.75 % (1058889)Peak memory usage: 102 MB
% 13.15/3.75 % (1058889)Instructions burned: 114 (million)
% 13.15/3.75 % (1058892)Instruction limit reached!
% 13.15/3.75 % (1058892)------------------------------
% 13.15/3.75 % (1058892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058892)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058892)Termination reason: Instruction limit
% 13.15/3.75 % (1058892)Termination phase: Property scanning
% 13.15/3.75 % (1058892)Time elapsed: 0.050 s
% 13.15/3.75 % (1058892)Peak memory usage: 99 MB
% 13.15/3.75 % (1058892)Instructions burned: 116 (million)
% 13.15/3.75 % (1058895)lrs+10_1_sil=8000:sp=occurrence:random_seed=2447376859:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 13.15/3.75 % (1058897)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=478576879:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 13.15/3.75 % (1058898)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3036933659:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 13.15/3.75 % (1058897)Refutation not found, incomplete strategy
% 13.15/3.75 % (1058897)------------------------------
% 13.15/3.75 % (1058897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058897)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058897)Termination reason: Refutation not found, incomplete strategy
% 13.15/3.75 % (1058897)Time elapsed: 0.080 s
% 13.15/3.75 % (1058897)Peak memory usage: 104 MB
% 13.15/3.75 % (1058897)Instructions burned: 109 (million)
% 13.15/3.75 % (1058895)Instruction limit reached!
% 13.15/3.75 % (1058895)------------------------------
% 13.15/3.75 % (1058895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058895)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058895)Termination reason: Instruction limit
% 13.15/3.75 % (1058895)Termination phase: Saturation
% 13.15/3.75 % (1058895)Time elapsed: 0.306 s
% 13.15/3.75 % (1058895)Peak memory usage: 118 MB
% 13.15/3.75 % (1058895)Instructions burned: 908 (million)
% 13.15/3.75 % (1058897)------------------------------
% 13.15/3.75 % (1058897)------------------------------
% 13.15/3.75 % (1058902)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=690393384:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 13.15/3.75 % (1058902)Instruction limit reached!
% 13.15/3.75 % (1058902)------------------------------
% 13.15/3.75 % (1058902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058902)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058902)Termination reason: Instruction limit
% 13.15/3.75 % (1058902)Termination phase: Property scanning
% 13.15/3.75 % (1058902)Time elapsed: 0.054 s
% 13.15/3.75 % (1058902)Peak memory usage: 103 MB
% 13.15/3.75 % (1058902)Instructions burned: 136 (million)
% 13.15/3.75 % (1058903)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2076967427:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 13.15/3.75 % (1058905)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4110820666:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 13.15/3.75 % (1058865)First to succeed.
% 13.15/3.75 % (1058865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1058859"
% 13.15/3.75 % (1058903)Instruction limit reached!
% 13.15/3.75 % (1058903)------------------------------
% 13.15/3.75 % (1058903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058903)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058903)Termination reason: Instruction limit
% 13.15/3.75 % (1058903)Termination phase: Property scanning
% 13.15/3.75 % (1058903)Time elapsed: 0.383 s
% 13.15/3.75 % (1058903)Peak memory usage: 118 MB
% 13.15/3.75 % (1058903)Instructions burned: 593 (million)
% 13.15/3.75 % (1058908)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=2886378424:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 13.15/3.75 % (1058908)Instruction limit reached!
% 13.15/3.75 % (1058908)------------------------------
% 13.15/3.75 % (1058908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058908)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058908)Termination reason: Instruction limit
% 13.15/3.75 % (1058908)Termination phase: Property scanning
% 13.15/3.75 % (1058908)Time elapsed: 0.056 s
% 13.15/3.75 % (1058908)Peak memory usage: 99 MB
% 13.15/3.75 % (1058908)Instructions burned: 127 (million)
% 13.15/3.75 % (1058886)Instruction limit reached!
% 13.15/3.75 % (1058886)------------------------------
% 13.15/3.75 % (1058886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.75 % (1058886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.75 % (1058886)CaDiCaL version: 2.1.3
% 13.15/3.75 % (1058886)Termination reason: Instruction limit
% 13.15/3.75 % (1058886)Termination phase: Saturation
% 13.15/3.75 % (1058886)Time elapsed: 1.516 s
% 13.15/3.75 % (1058886)Peak memory usage: 276 MB
% 13.15/3.75 % (1058886)Instructions burned: 2351 (million)
% 13.15/3.75 % (1058865)Refutation found. Thanks to Tanya!
% 13.15/3.75 % SZS status Theorem for theBenchmark
% 13.15/3.75 % SZS output start Proof for theBenchmark
% See solution above
% 17.51/3.93 % (1058865)------------------------------
% 17.51/3.93 % (1058865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.51/3.93 % (1058865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.51/3.93 % (1058865)CaDiCaL version: 2.1.3
% 17.51/3.93 % (1058865)Termination reason: Refutation
% 17.51/3.93 % (1058865)Time elapsed: 1.833 s
% 17.51/3.93 % (1058865)Peak memory usage: 193 MB
% 17.51/3.93 % (1058865)Instructions burned: 3046 (million)
% 17.51/3.93 % (1058865)------------------------------
% 17.51/3.93 % (1058865)------------------------------
% 17.51/3.93 % (1058859)Success in time 2.877 s
% 17.51/3.93 % Vampire exiting
%------------------------------------------------------------------------------