%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT378+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 11:47:30 AM UTC 2026
% Result : Theorem 46.51s 7.99s
% Output : Refutation 47.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 20
% Syntax : Number of formulae : 220 ( 32 unt; 7 def)
% Number of atoms : 1317 ( 20 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1942 ( 845 ~; 944 |; 110 &)
% ( 11 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 8 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 290 ( 0 sgn 278 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1255,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1257,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1877,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2) )
=> ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f1878,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f2426,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_funct_1(X0)
& v1_finset_1(X1) )
=> v1_finset_1(k9_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f4586,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f5020,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(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)) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f5021,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(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)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f5854,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f10420,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( r4_waybel_0(X0,X1,X4,X3)
& r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3)) )
=> r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_waybel34) ).
fof(f10421,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( v1_finset_1(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> r4_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15_waybel34) ).
fof(f10423,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v4_waybel34(X3,X0,X1)
& v4_waybel34(X4,X1,X2) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_waybel34) ).
fof(f10424,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v4_waybel34(X3,X0,X1)
& v4_waybel34(X4,X1,X2) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10423]) ).
fof(f10660,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
& v4_waybel34(X3,X0,X1)
& v4_waybel34(X4,X1,X2)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
& 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_struct_0(X2)
& l1_orders_2(X2) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10424]) ).
fof(f10661,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2)
& v4_waybel34(X3,X0,X1)
& v4_waybel34(X4,X1,X2)
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
& 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_struct_0(X2)
& l1_orders_2(X2) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f10660]) ).
fof(f10693,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1255]) ).
fof(f10748,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f1878]) ).
fof(f10749,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f10748]) ).
fof(f10750,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) )
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f1877]) ).
fof(f10751,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) )
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f10750]) ).
fof(f10754,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10421]) ).
fof(f10755,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10754]) ).
fof(f10843,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f11176,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5854]) ).
fof(f11182,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4586]) ).
fof(f11183,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f11182]) ).
fof(f11722,plain,
! [X0,X1] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1) ),
inference(ennf_transformation,[],[f2426]) ).
fof(f11723,plain,
! [X0,X1] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1) ),
inference(flattening,[],[f11722]) ).
fof(f11732,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3)
| ~ r4_waybel_0(X0,X1,X4,X3)
| ~ r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10420]) ).
fof(f11733,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3)
| ~ r4_waybel_0(X0,X1,X4,X3)
| ~ r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f11732]) ).
fof(f12359,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(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,[],[f5021]) ).
fof(f12360,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(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,[],[f12359]) ).
fof(f12361,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(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,[],[f5020]) ).
fof(f12362,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(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,[],[f12361]) ).
fof(f15146,plain,
( ~ v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(sK191),sK192,sK193),sK189,sK191)
& v4_waybel34(sK192,sK189,sK190)
& v4_waybel34(sK193,sK190,sK191)
& v1_funct_1(sK193)
& v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
& m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
& v1_funct_1(sK192)
& v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
& m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
& ~ v3_struct_0(sK191)
& l1_orders_2(sK191)
& ~ v3_struct_0(sK190)
& l1_orders_2(sK190)
& ~ v3_struct_0(sK189)
& l1_orders_2(sK189) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK189,sK190,sK191,sK192,sK193]),skolemize(X0,sK189),skolemize(X1,sK190),skolemize(X2,sK191),skolemize(X3,sK192),skolemize(X4,sK193)],[f10661]) ).
fof(f15175,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& v1_finset_1(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_waybel34(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)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f10755]) ).
fof(f15176,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& v1_finset_1(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_waybel34(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)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f15175]) ).
fof(f15177,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK213(X0,X1,X2))
& v1_finset_1(sK213(X0,X1,X2))
& m1_subset_1(sK213(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_waybel34(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)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213]),skolemize(X3,sK213(X0,X1,X2))],[f15176]) ).
fof(f15502,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1257]) ).
fof(f16822,plain,
l1_orders_2(sK189),
inference(cnf_transformation,[],[f15146]) ).
fof(f16823,plain,
~ v3_struct_0(sK189),
inference(cnf_transformation,[],[f15146]) ).
fof(f16824,plain,
l1_orders_2(sK190),
inference(cnf_transformation,[],[f15146]) ).
fof(f16825,plain,
~ v3_struct_0(sK190),
inference(cnf_transformation,[],[f15146]) ).
fof(f16826,plain,
l1_orders_2(sK191),
inference(cnf_transformation,[],[f15146]) ).
fof(f16827,plain,
~ v3_struct_0(sK191),
inference(cnf_transformation,[],[f15146]) ).
fof(f16828,plain,
m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)),
inference(cnf_transformation,[],[f15146]) ).
fof(f16829,plain,
v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190)),
inference(cnf_transformation,[],[f15146]) ).
fof(f16830,plain,
v1_funct_1(sK192),
inference(cnf_transformation,[],[f15146]) ).
fof(f16831,plain,
m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191)),
inference(cnf_transformation,[],[f15146]) ).
fof(f16832,plain,
v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191)),
inference(cnf_transformation,[],[f15146]) ).
fof(f16833,plain,
v1_funct_1(sK193),
inference(cnf_transformation,[],[f15146]) ).
fof(f16834,plain,
v4_waybel34(sK193,sK190,sK191),
inference(cnf_transformation,[],[f15146]) ).
fof(f16835,plain,
v4_waybel34(sK192,sK189,sK190),
inference(cnf_transformation,[],[f15146]) ).
fof(f16836,plain,
~ v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(sK191),sK192,sK193),sK189,sK191),
inference(cnf_transformation,[],[f15146]) ).
fof(f16883,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10693]) ).
fof(f16967,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| k5_relat_1(X3,X4) = k7_funct_2(X0,X1,X2,X3,X4)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f10749]) ).
fof(f16968,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f10751]) ).
fof(f16969,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f10751]) ).
fof(f16970,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f10751]) ).
fof(f16973,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_waybel34(X2,X0,X1)
| ~ v1_funct_1(X2)
| r4_waybel_0(X0,X1,X2,X4)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f15177]) ).
fof(f16974,plain,
! [X2,X0,X1] :
( m1_subset_1(sK213(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v4_waybel34(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))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f15177]) ).
fof(f16975,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_finset_1(sK213(X0,X1,X2))
| ~ v1_funct_1(X2)
| v4_waybel34(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f15177]) ).
fof(f16976,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,sK213(X0,X1,X2))
| v4_waybel34(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))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f15177]) ).
fof(f17122,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f10843]) ).
fof(f17844,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f11176]) ).
fof(f17852,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f11183]) ).
fof(f18519,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f15502]) ).
fof(f18684,plain,
! [X0,X1] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1) ),
inference(cnf_transformation,[],[f11723]) ).
fof(f18700,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))
| ~ r4_waybel_0(X0,X1,X4,X3)
| r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f11733]) ).
fof(f19814,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X3) = k4_pre_topc(X0,X1,X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12360]) ).
fof(f19815,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12362]) ).
fof(f26690,plain,
! [X0,X1] :
( v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK190))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| k5_relat_1(X0,sK193) = k7_funct_2(X1,u1_struct_0(sK190),u1_struct_0(sK191),X0,sK193)
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191)) ),
inference(resolution,[],[f16967,f16832]) ).
fof(f26691,plain,
! [X0,X1] :
( v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK190))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK190))
| k5_relat_1(X0,sK193) = k7_funct_2(X1,u1_struct_0(sK190),u1_struct_0(sK191),X0,sK193)
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191)) ),
inference(forward_subsumption_resolution,[],[f26690,f16833]) ).
fof(f26695,definition,
( spl1081_18
<=> m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191)) ),
introduced(definition,[new_symbols(definition,[spl1081_18])],[avatar_definition]) ).
fof(f26696,plain,
( m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_18 ),
inference(avatar_component_clause,[],[f26695]) ).
fof(f26697,plain,
( ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| spl1081_18 ),
inference(avatar_component_clause,[],[f26695]) ).
fof(f26699,definition,
( spl1081_19
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK193) = k7_funct_2(X1,u1_struct_0(sK190),u1_struct_0(sK191),X0,sK193)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK190))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK190)) ) ),
introduced(definition,[new_symbols(definition,[spl1081_19])],[avatar_definition]) ).
fof(f26700,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK190))
| k5_relat_1(X0,sK193) = k7_funct_2(X1,u1_struct_0(sK190),u1_struct_0(sK191),X0,sK193)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK190))
| ~ v1_funct_1(X0) )
| ~ spl1081_19 ),
inference(avatar_component_clause,[],[f26699]) ).
fof(f26702,definition,
( spl1081_20
<=> v1_xboole_0(u1_struct_0(sK190)) ),
introduced(definition,[new_symbols(definition,[spl1081_20])],[avatar_definition]) ).
fof(f26704,plain,
( v1_xboole_0(u1_struct_0(sK190))
| ~ spl1081_20 ),
inference(avatar_component_clause,[],[f26702]) ).
fof(f26705,plain,
( ~ spl1081_18
| spl1081_19
| spl1081_20 ),
inference(avatar_split_clause,[],[f26691,f26702,f26699,f26695]) ).
fof(f26707,definition,
( spl1081_21
<=> m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) ),
introduced(definition,[new_symbols(definition,[spl1081_21])],[avatar_definition]) ).
fof(f26708,plain,
( m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ spl1081_21 ),
inference(avatar_component_clause,[],[f26707]) ).
fof(f26709,plain,
( ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| spl1081_21 ),
inference(avatar_component_clause,[],[f26707]) ).
fof(f26725,plain,
m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)),
inference(resolution,[],[f18519,f16828]) ).
fof(f26726,plain,
m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191)),
inference(resolution,[],[f18519,f16831]) ).
fof(f26727,plain,
( $false
| spl1081_18 ),
inference(forward_subsumption_resolution,[],[f26726,f26697]) ).
fof(f26728,plain,
spl1081_18,
inference(avatar_contradiction_clause,[],[f26727]) ).
fof(f26729,plain,
( $false
| spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26725,f26709]) ).
fof(f26730,plain,
spl1081_21,
inference(avatar_contradiction_clause,[],[f26729]) ).
fof(f26734,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| ~ v4_waybel34(sK192,sK189,sK190)
| ~ v1_funct_1(sK192)
| r4_waybel_0(sK189,sK190,sK192,X0)
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(resolution,[],[f16973,f16829]) ).
fof(f26735,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| ~ v4_waybel34(sK193,sK190,sK191)
| ~ v1_funct_1(sK193)
| r4_waybel_0(sK190,sK191,sK193,X0)
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(resolution,[],[f16973,f16832]) ).
fof(f26740,plain,
( k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(sK191),sK192,sK193) = k5_relat_1(sK192,sK193)
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK192)
| ~ spl1081_19 ),
inference(resolution,[],[f26700,f16829]) ).
fof(f26741,plain,
( k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(sK191),sK192,sK193) = k5_relat_1(sK192,sK193)
| ~ v1_funct_1(sK192)
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26740,f26708]) ).
fof(f26743,plain,
( k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(sK191),sK192,sK193) = k5_relat_1(sK192,sK193)
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26741,f16830]) ).
fof(f26745,plain,
( ~ v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ spl1081_19
| ~ spl1081_21 ),
inference(superposition,[],[f16836,f26743]) ).
fof(f26746,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(superposition,[],[f16969,f26743]) ).
fof(f26747,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(superposition,[],[f16968,f26743]) ).
fof(f26748,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(superposition,[],[f16970,f26743]) ).
fof(f26749,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26748,f16830]) ).
fof(f26750,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26747,f16830]) ).
fof(f26751,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26746,f16830]) ).
fof(f26752,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26749,f16829]) ).
fof(f26753,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26750,f16829]) ).
fof(f26754,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26751,f16829]) ).
fof(f26755,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26752,f26708]) ).
fof(f26756,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26753,f26708]) ).
fof(f26757,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26754,f26708]) ).
fof(f26758,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26755,f16833]) ).
fof(f26759,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26756,f16833]) ).
fof(f26760,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26757,f16833]) ).
fof(f26761,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26758,f16832]) ).
fof(f26762,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26759,f16832]) ).
fof(f26763,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ m1_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26760,f16832]) ).
fof(f26764,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| v1_xboole_0(u1_struct_0(sK190))
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26761,f26696]) ).
fof(f26765,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26762,f26696]) ).
fof(f26766,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v1_xboole_0(u1_struct_0(sK190))
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26763,f26696]) ).
fof(f26768,definition,
( spl1081_24
<=> v1_funct_1(k5_relat_1(sK192,sK193)) ),
introduced(definition,[new_symbols(definition,[spl1081_24])],[avatar_definition]) ).
fof(f26770,plain,
( v1_funct_1(k5_relat_1(sK192,sK193))
| ~ spl1081_24 ),
inference(avatar_component_clause,[],[f26768]) ).
fof(f26771,plain,
( spl1081_20
| spl1081_24
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(avatar_split_clause,[],[f26764,f26707,f26699,f26695,f26768,f26702]) ).
fof(f26773,definition,
( spl1081_25
<=> m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191)) ),
introduced(definition,[new_symbols(definition,[spl1081_25])],[avatar_definition]) ).
fof(f26775,plain,
( m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_25 ),
inference(avatar_component_clause,[],[f26773]) ).
fof(f26776,plain,
( spl1081_20
| spl1081_25
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(avatar_split_clause,[],[f26765,f26707,f26699,f26695,f26773,f26702]) ).
fof(f26778,definition,
( spl1081_26
<=> v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191)) ),
introduced(definition,[new_symbols(definition,[spl1081_26])],[avatar_definition]) ).
fof(f26780,plain,
( v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_26 ),
inference(avatar_component_clause,[],[f26778]) ).
fof(f26781,plain,
( spl1081_20
| spl1081_26
| ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21 ),
inference(avatar_split_clause,[],[f26766,f26707,f26699,f26695,f26778,f26702]) ).
fof(f26782,plain,
( v3_struct_0(sK190)
| ~ l1_struct_0(sK190)
| ~ spl1081_20 ),
inference(resolution,[],[f17852,f26704]) ).
fof(f26783,plain,
( ~ l1_struct_0(sK190)
| ~ spl1081_20 ),
inference(forward_subsumption_resolution,[],[f26782,f16825]) ).
fof(f26786,plain,
l1_struct_0(sK190),
inference(resolution,[],[f17844,f16824]) ).
fof(f26787,plain,
l1_struct_0(sK189),
inference(resolution,[],[f17844,f16822]) ).
fof(f26789,plain,
( $false
| ~ spl1081_20 ),
inference(forward_subsumption_resolution,[],[f26786,f26783]) ).
fof(f26790,plain,
~ spl1081_20,
inference(avatar_contradiction_clause,[],[f26789]) ).
fof(f26792,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_26 ),
inference(resolution,[],[f26780,f16975]) ).
fof(f26813,plain,
! [X0] :
( ~ l1_struct_0(sK189)
| ~ l1_struct_0(sK190)
| ~ v1_funct_1(sK192)
| k9_relat_1(sK192,X0) = k4_pre_topc(sK189,sK190,sK192,X0)
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) ),
inference(resolution,[],[f19814,f16829]) ).
fof(f26816,plain,
! [X0] :
( ~ l1_struct_0(sK190)
| ~ v1_funct_1(sK192)
| k9_relat_1(sK192,X0) = k4_pre_topc(sK189,sK190,sK192,X0)
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) ),
inference(forward_subsumption_resolution,[],[f26813,f26787]) ).
fof(f26820,plain,
! [X0] :
( ~ v1_funct_1(sK192)
| k9_relat_1(sK192,X0) = k4_pre_topc(sK189,sK190,sK192,X0)
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) ),
inference(forward_subsumption_resolution,[],[f26816,f26786]) ).
fof(f26824,plain,
! [X0] :
( k9_relat_1(sK192,X0) = k4_pre_topc(sK189,sK190,sK192,X0)
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) ),
inference(forward_subsumption_resolution,[],[f26820,f16830]) ).
fof(f26827,plain,
( ! [X0] : k9_relat_1(sK192,X0) = k4_pre_topc(sK189,sK190,sK192,X0)
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26824,f26708]) ).
fof(f26888,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(superposition,[],[f18700,f26827]) ).
fof(f26954,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ l1_struct_0(sK189)
| ~ l1_struct_0(sK190)
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) )
| ~ spl1081_21 ),
inference(superposition,[],[f19815,f26827]) ).
fof(f26955,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ l1_struct_0(sK190)
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26954,f26787]) ).
fof(f26957,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ v1_funct_1(sK192)
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26955,f26786]) ).
fof(f26959,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26957,f16830]) ).
fof(f26961,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ m1_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190)) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26959,f16829]) ).
fof(f26963,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sK192,X0),k1_zfmisc_1(u1_struct_0(sK190)))
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26961,f26708]) ).
fof(f27017,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f17122,f16883]) ).
fof(f27022,plain,
v1_relat_1(sK192),
inference(resolution,[],[f27017,f16828]) ).
fof(f27776,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| ~ v1_funct_1(sK193)
| r4_waybel_0(sK190,sK191,sK193,X0)
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f26735,f16834]) ).
fof(f27777,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| ~ v1_funct_1(sK192)
| r4_waybel_0(sK189,sK190,sK192,X0)
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f26734,f16835]) ).
fof(f27782,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_24
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f26792,f26770]) ).
fof(f27797,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ v1_funct_2(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f26888,f16830]) ).
fof(f28827,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| r4_waybel_0(sK190,sK191,sK193,X0)
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f27776,f16833]) ).
fof(f28828,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| r4_waybel_0(sK189,sK190,sK192,X0)
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f27777,f16830]) ).
fof(f28833,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f27782,f26745]) ).
fof(f28848,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(sK192,u1_struct_0(sK189),u1_struct_0(sK190))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f27797,f16829]) ).
fof(f29033,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| r4_waybel_0(sK190,sK191,sK193,X0)
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f28827,f16831]) ).
fof(f29034,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| r4_waybel_0(sK189,sK190,sK192,X0)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f28828,f16828]) ).
fof(f29038,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f28833,f26775]) ).
fof(f29051,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f28848,f16828]) ).
fof(f29152,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| r4_waybel_0(sK190,sK191,sK193,X0)
| ~ l1_orders_2(sK191)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f29033,f16827]) ).
fof(f29153,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| r4_waybel_0(sK189,sK190,sK192,X0)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f29034,f16825]) ).
fof(f29157,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ l1_orders_2(sK191)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29038,f16827]) ).
fof(f29170,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(sK190)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29051,f16825]) ).
fof(f29241,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| r4_waybel_0(sK190,sK191,sK193,X0)
| v3_struct_0(sK190)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f29152,f16826]) ).
fof(f29242,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| r4_waybel_0(sK189,sK190,sK192,X0)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f29153,f16824]) ).
fof(f29246,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189)
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29157,f16826]) ).
fof(f29256,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29170,f16824]) ).
fof(f29302,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| r4_waybel_0(sK190,sK191,sK193,X0)
| ~ l1_orders_2(sK190) ),
inference(forward_subsumption_resolution,[],[f29241,f16825]) ).
fof(f29303,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| r4_waybel_0(sK189,sK190,sK192,X0)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f29242,f16823]) ).
fof(f29307,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ l1_orders_2(sK189)
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29246,f16823]) ).
fof(f29317,plain,
( ! [X2,X0,X1] :
( ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29256,f16823]) ).
fof(f29361,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK190)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK190,sK191,sK193,X0) ),
inference(forward_subsumption_resolution,[],[f29302,f16824]) ).
fof(f29362,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK189,sK190,sK192,X0) ),
inference(forward_subsumption_resolution,[],[f29303,f16822]) ).
fof(f29365,plain,
( v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29307,f16822]) ).
fof(f29372,plain,
( ! [X2,X0,X1] :
( r4_waybel_0(sK189,X1,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X1),sK192,X2),X0)
| ~ r4_waybel_0(sK189,sK190,sK192,X0)
| ~ r4_waybel_0(sK190,X1,X2,k9_relat_1(sK192,X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(sK190),u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29317,f16822]) ).
fof(f29612,plain,
! [X0,X1] :
( ~ v1_finset_1(sK213(sK189,X0,X1))
| r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,X1))
| v4_waybel34(X1,sK189,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(resolution,[],[f29362,f16974]) ).
fof(f29613,plain,
! [X0,X1] :
( r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,X1))
| v4_waybel34(X1,sK189,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f29612,f16975]) ).
fof(f29616,plain,
! [X0,X1] :
( r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,X1))
| v4_waybel34(X1,sK189,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK189) ),
inference(forward_subsumption_resolution,[],[f29613,f16823]) ).
fof(f29617,plain,
! [X0,X1] :
( r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,X1))
| v4_waybel34(X1,sK189,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f29616,f16822]) ).
fof(f29627,plain,
( ! [X0] :
( r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,X0))
| ~ v1_finset_1(k9_relat_1(sK192,X0)) )
| ~ spl1081_21 ),
inference(resolution,[],[f29361,f26963]) ).
fof(f29714,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1)))
| ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m1_subset_1(sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1)),k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(resolution,[],[f29372,f16976]) ).
fof(f29722,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1)))
| ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m1_subset_1(sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1)),k1_zfmisc_1(u1_struct_0(sK189)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(duplicate_literal_removal,[],[f29714]) ).
fof(f29725,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK189,sK190,sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1)))
| ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29722,f16974]) ).
fof(f29728,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| v3_struct_0(sK189)
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29725,f29617]) ).
fof(f29730,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ l1_orders_2(sK189) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29728,f16823]) ).
fof(f29732,plain,
( ! [X0,X1] :
( ~ r4_waybel_0(sK190,X0,X1,k9_relat_1(sK192,sK213(sK189,X0,k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK190),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK190),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),sK189,X0)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK189),u1_struct_0(sK190),u1_struct_0(X0),sK192,X1),u1_struct_0(sK189),u1_struct_0(X0)) )
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29730,f16822]) ).
fof(f29957,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ v1_funct_1(sK193)
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(superposition,[],[f29732,f26743]) ).
fof(f29960,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ v1_funct_2(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29957,f16833]) ).
fof(f29962,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ m2_relset_1(sK193,u1_struct_0(sK190),u1_struct_0(sK191))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29960,f16832]) ).
fof(f29963,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| v3_struct_0(sK191)
| ~ l1_orders_2(sK191)
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29962,f16831]) ).
fof(f29964,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ l1_orders_2(sK191)
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29963,f16827]) ).
fof(f29965,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| v4_waybel34(k5_relat_1(sK192,sK193),sK189,sK191)
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29964,f16826]) ).
fof(f29966,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ v1_funct_1(k5_relat_1(sK192,sK193))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21 ),
inference(forward_subsumption_resolution,[],[f29965,f26745]) ).
fof(f29967,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ v1_funct_2(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24 ),
inference(forward_subsumption_resolution,[],[f29966,f26770]) ).
fof(f29968,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ m2_relset_1(k5_relat_1(sK192,sK193),u1_struct_0(sK189),u1_struct_0(sK191))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29967,f26780]) ).
fof(f29969,plain,
( ~ r4_waybel_0(sK190,sK191,sK193,k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f29968,f26775]) ).
fof(f29975,plain,
( ~ v1_finset_1(k9_relat_1(sK192,sK213(sK189,sK191,k5_relat_1(sK192,sK193))))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(resolution,[],[f29627,f29969]) ).
fof(f40694,plain,
( ~ v1_relat_1(sK192)
| ~ v1_funct_1(sK192)
| ~ v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(resolution,[],[f29975,f18684]) ).
fof(f40695,plain,
( ~ v1_funct_1(sK192)
| ~ v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f40694,f27022]) ).
fof(f40696,plain,
( ~ v1_finset_1(sK213(sK189,sK191,k5_relat_1(sK192,sK193)))
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f40695,f16830]) ).
fof(f40697,plain,
( $false
| ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(forward_subsumption_resolution,[],[f40696,f29365]) ).
fof(f40698,plain,
( ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(avatar_contradiction_clause,[],[f40697]) ).
cnf(s20,plain,
( ~ spl1081_18
| spl1081_19
| spl1081_20 ),
inference(sat_conversion,[],[f26705]) ).
cnf(s22,plain,
spl1081_18,
inference(sat_conversion,[],[f26728]) ).
cnf(s23,plain,
spl1081_21,
inference(sat_conversion,[],[f26730]) ).
cnf(s24,plain,
( ~ spl1081_18
| ~ spl1081_19
| spl1081_20
| ~ spl1081_21
| spl1081_24 ),
inference(sat_conversion,[],[f26771]) ).
cnf(s25,plain,
( ~ spl1081_18
| ~ spl1081_19
| spl1081_20
| ~ spl1081_21
| spl1081_25 ),
inference(sat_conversion,[],[f26776]) ).
cnf(s26,plain,
( ~ spl1081_18
| ~ spl1081_19
| spl1081_20
| ~ spl1081_21
| spl1081_26 ),
inference(sat_conversion,[],[f26781]) ).
cnf(s27,plain,
~ spl1081_20,
inference(sat_conversion,[],[f26790]) ).
cnf(s724,plain,
( ~ spl1081_19
| ~ spl1081_21
| ~ spl1081_24
| ~ spl1081_25
| ~ spl1081_26 ),
inference(sat_conversion,[],[f40698]) ).
cnf(s968,plain,
( ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21
| spl1081_26 ),
inference(rat,[],[s26,s27]) ).
cnf(s969,plain,
( ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21
| spl1081_25 ),
inference(rat,[],[s25,s27]) ).
cnf(s970,plain,
( ~ spl1081_18
| ~ spl1081_19
| ~ spl1081_21
| spl1081_24 ),
inference(rat,[],[s24,s27]) ).
cnf(s994,plain,
spl1081_19,
inference(rat,[],[s20,s27,s22]) ).
cnf(s996,plain,
spl1081_26,
inference(rat,[],[s968,s22,s23,s994]) ).
cnf(s997,plain,
spl1081_25,
inference(rat,[],[s969,s22,s23,s994]) ).
cnf(s998,plain,
spl1081_24,
inference(rat,[],[s970,s22,s23,s994]) ).
cnf(s1005,plain,
$false,
inference(rat,[],[s724,s996,s994,s23,s997,s998]) ).
fof(f40699,plain,
$false,
inference(avatar_sat_refutation,[],[s1005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT378+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.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 15:12:53 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/3.76 % (3648456)Detected formulas, will run a generic FOF schedule.
% 16.51/3.76 % (3648463)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=401341844:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 16.51/3.76 % (3648464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1922003132:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 16.51/3.76 % (3648465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4241970356:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 16.51/3.76 % (3648462)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=487745336:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 16.51/3.76 % (3648461)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=4196175843:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 16.51/3.76 % (3648467)dis-21_1_sil=8000:lcm=predicate:random_seed=1843424134: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)
% 16.51/3.76 % (3648466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=27821175:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 16.51/3.76 % (3648464)Refutation not found, incomplete strategy
% 16.51/3.76 % (3648464)------------------------------
% 16.51/3.76 % (3648464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.76 % (3648464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.76 % (3648464)CaDiCaL version: 2.1.3
% 16.51/3.76 % (3648464)Termination reason: Refutation not found, incomplete strategy
% 16.51/3.76 % (3648464)Time elapsed: 0.053 s
% 16.51/3.76 % (3648464)Peak memory usage: 103 MB
% 16.51/3.76 % (3648464)Instructions burned: 63 (million)
% 16.51/3.76 % (3648466)Instruction limit reached!
% 16.51/3.76 % (3648466)------------------------------
% 16.51/3.76 % (3648466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.76 % (3648466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.76 % (3648466)CaDiCaL version: 2.1.3
% 16.51/3.76 % (3648466)Termination reason: Instruction limit
% 16.51/3.76 % (3648466)Termination phase: Property scanning
% 16.51/3.76 % (3648466)Time elapsed: 0.060 s
% 16.51/3.76 % (3648466)Peak memory usage: 99 MB
% 16.51/3.76 % (3648466)Instructions burned: 141 (million)
% 16.51/3.76 % (3648465)Instruction limit reached!
% 16.51/3.76 % (3648465)------------------------------
% 16.51/3.76 % (3648465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.76 % (3648465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.76 % (3648465)CaDiCaL version: 2.1.3
% 16.51/3.76 % (3648465)Termination reason: Instruction limit
% 16.51/3.76 % (3648465)Termination phase: Preprocessing 3
% 16.51/3.76 % (3648465)Time elapsed: 0.095 s
% 16.51/3.76 % (3648465)Peak memory usage: 102 MB
% 16.51/3.76 % (3648465)Instructions burned: 119 (million)
% 16.51/3.76 % (3648467)Instruction limit reached!
% 16.51/3.76 % (3648467)------------------------------
% 16.51/3.76 % (3648467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.76 % (3648467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.76 % (3648467)CaDiCaL version: 2.1.3
% 16.51/3.76 % (3648467)Termination reason: Instruction limit
% 16.51/3.76 % (3648467)Termination phase: Preprocessing 1
% 16.51/3.76 % (3648467)Time elapsed: 0.103 s
% 16.51/3.76 % (3648467)Peak memory usage: 100 MB
% 16.51/3.76 % (3648467)Instructions burned: 130 (million)
% 16.51/3.76 % (3648475)lrs+10_1_sil=8000:sp=occurrence:random_seed=2515896372:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 16.51/3.76 % (3648476)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3640826612:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 16.51/3.76 % (3648477)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2634429756:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 16.51/3.76 % (3648464)------------------------------
% 16.51/3.76 % (3648464)------------------------------
% 16.51/3.76 % (3648476)Instruction limit reached!
% 16.51/3.76 % (3648476)------------------------------
% 16.51/3.76 % (3648476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648476)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648476)Termination reason: Instruction limit
% 24.18/4.84 % (3648476)Termination phase: SInE selection
% 24.18/4.84 % (3648476)Time elapsed: 0.072 s
% 24.18/4.84 % (3648476)Peak memory usage: 99 MB
% 24.18/4.84 % (3648476)Instructions burned: 158 (million)
% 24.18/4.84 % (3648477)Refutation not found, incomplete strategy
% 24.18/4.84 % (3648477)------------------------------
% 24.18/4.84 % (3648477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648477)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648477)Termination reason: Refutation not found, incomplete strategy
% 24.18/4.84 % (3648477)Time elapsed: 0.057 s
% 24.18/4.84 % (3648477)Peak memory usage: 103 MB
% 24.18/4.84 % (3648477)Instructions burned: 63 (million)
% 24.18/4.84 % (3648475)Instruction limit reached!
% 24.18/4.84 % (3648475)------------------------------
% 24.18/4.84 % (3648475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648475)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648475)Termination reason: Instruction limit
% 24.18/4.84 % (3648475)Termination phase: Saturation
% 24.18/4.84 % (3648475)Time elapsed: 0.202 s
% 24.18/4.84 % (3648475)Peak memory usage: 107 MB
% 24.18/4.84 % (3648475)Instructions burned: 288 (million)
% 24.18/4.84 % (3648481)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=1840521923:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 24.18/4.84 % (3648482)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3134404100:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 24.18/4.84 % (3648477)------------------------------
% 24.18/4.84 % (3648477)------------------------------
% 24.18/4.84 % (3648481)Instruction limit reached!
% 24.18/4.84 % (3648481)------------------------------
% 24.18/4.84 % (3648481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648481)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648481)Termination reason: Instruction limit
% 24.18/4.84 % (3648481)Termination phase: Preprocessing 1
% 24.18/4.84 % (3648481)Time elapsed: 0.139 s
% 24.18/4.84 % (3648481)Peak memory usage: 100 MB
% 24.18/4.84 % (3648481)Instructions burned: 248 (million)
% 24.18/4.84 % (3648483)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=910010857:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 24.18/4.84 % (3648482)Instruction limit reached!
% 24.18/4.84 % (3648482)------------------------------
% 24.18/4.84 % (3648482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648482)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648482)Termination reason: Instruction limit
% 24.18/4.84 % (3648482)Termination phase: Saturation
% 24.18/4.84 % (3648482)Time elapsed: 0.181 s
% 24.18/4.84 % (3648482)Peak memory usage: 107 MB
% 24.18/4.84 % (3648482)Instructions burned: 294 (million)
% 24.18/4.84 % (3648488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2695343952:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 24.18/4.84 % (3648486)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=982317505:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 24.18/4.84 % (3648489)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2782443316:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 24.18/4.84 % (3648486)Instruction limit reached!
% 24.18/4.84 % (3648486)------------------------------
% 24.18/4.84 % (3648486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.18/4.84 % (3648486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.18/4.84 % (3648486)CaDiCaL version: 2.1.3
% 24.18/4.84 % (3648486)Termination reason: Instruction limit
% 24.18/4.84 % (3648486)Termination phase: Naming
% 24.18/4.84 % (3648486)Time elapsed: 0.101 s
% 24.18/4.84 % (3648486)Peak memory usage: 103 MB
% 24.18/4.84 % (3648486)Instructions burned: 114 (million)
% 24.18/4.84 % (3648488)Instruction limit reached!
% 46.51/7.99 % (3648488)------------------------------
% 46.51/7.99 % (3648488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648488)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648488)Termination reason: Instruction limit
% 46.51/7.99 % (3648488)Termination phase: Preprocessing 2
% 46.51/7.99 % (3648488)Time elapsed: 0.103 s
% 46.51/7.99 % (3648488)Peak memory usage: 106 MB
% 46.51/7.99 % (3648488)Instructions burned: 128 (million)
% 46.51/7.99 % (3648489)Instruction limit reached!
% 46.51/7.99 % (3648489)------------------------------
% 46.51/7.99 % (3648489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648489)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648489)Termination reason: Instruction limit
% 46.51/7.99 % (3648489)Termination phase: Property scanning
% 46.51/7.99 % (3648489)Time elapsed: 0.051 s
% 46.51/7.99 % (3648489)Peak memory usage: 99 MB
% 46.51/7.99 % (3648489)Instructions burned: 116 (million)
% 46.51/7.99 % (3648494)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2205617032:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 46.51/7.99 % (3648493)lrs+10_1_sil=8000:sp=occurrence:random_seed=658960861:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 46.51/7.99 % (3648495)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1532067447:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 46.51/7.99 % (3648494)Instruction limit reached!
% 46.51/7.99 % (3648494)------------------------------
% 46.51/7.99 % (3648494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648494)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648494)Termination reason: Instruction limit
% 46.51/7.99 % (3648494)Termination phase: Saturation
% 46.51/7.99 % (3648494)Time elapsed: 0.243 s
% 46.51/7.99 % (3648494)Peak memory usage: 110 MB
% 46.51/7.99 % (3648494)Instructions burned: 437 (million)
% 46.51/7.99 % (3648499)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2193621858:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 46.51/7.99 % (3648493)Instruction limit reached!
% 46.51/7.99 % (3648493)------------------------------
% 46.51/7.99 % (3648493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648493)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648493)Termination reason: Instruction limit
% 46.51/7.99 % (3648493)Termination phase: Saturation
% 46.51/7.99 % (3648493)Time elapsed: 0.506 s
% 46.51/7.99 % (3648493)Peak memory usage: 121 MB
% 46.51/7.99 % (3648493)Instructions burned: 907 (million)
% 46.51/7.99 % (3648499)Instruction limit reached!
% 46.51/7.99 % (3648499)------------------------------
% 46.51/7.99 % (3648499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648499)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648499)Termination reason: Instruction limit
% 46.51/7.99 % (3648499)Termination phase: NewCNF
% 46.51/7.99 % (3648499)Time elapsed: 0.111 s
% 46.51/7.99 % (3648499)Peak memory usage: 104 MB
% 46.51/7.99 % (3648499)Instructions burned: 135 (million)
% 46.51/7.99 % (3648501)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1763637184:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 46.51/7.99 % (3648502)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=816763827:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 46.51/7.99 % (3648501)Instruction limit reached!
% 46.51/7.99 % (3648501)------------------------------
% 46.51/7.99 % (3648501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648501)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648501)Termination reason: Instruction limit
% 46.51/7.99 % (3648501)Termination phase: Property scanning
% 46.51/7.99 % (3648501)Time elapsed: 0.377 s
% 46.51/7.99 % (3648501)Peak memory usage: 118 MB
% 46.51/7.99 % (3648501)Instructions burned: 594 (million)
% 46.51/7.99 % (3648483)Instruction limit reached!
% 46.51/7.99 % (3648483)------------------------------
% 46.51/7.99 % (3648483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648483)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648483)Termination reason: Instruction limit
% 46.51/7.99 % (3648483)Termination phase: Saturation
% 46.51/7.99 % (3648483)Time elapsed: 1.564 s
% 46.51/7.99 % (3648483)Peak memory usage: 265 MB
% 46.51/7.99 % (3648483)Instructions burned: 2350 (million)
% 46.51/7.99 % (3648505)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=1402667134:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 46.51/7.99 % (3648505)Instruction limit reached!
% 46.51/7.99 % (3648505)------------------------------
% 46.51/7.99 % (3648505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648505)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648505)Termination reason: Instruction limit
% 46.51/7.99 % (3648505)Termination phase: Property scanning
% 46.51/7.99 % (3648505)Time elapsed: 0.054 s
% 46.51/7.99 % (3648505)Peak memory usage: 99 MB
% 46.51/7.99 % (3648505)Instructions burned: 125 (million)
% 46.51/7.99 % (3648506)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3259277701:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 46.51/7.99 % (3648506)Instruction limit reached!
% 46.51/7.99 % (3648506)------------------------------
% 46.51/7.99 % (3648506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648506)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648506)Termination reason: Instruction limit
% 46.51/7.99 % (3648506)Termination phase: Property scanning
% 46.51/7.99 % (3648506)Time elapsed: 0.060 s
% 46.51/7.99 % (3648506)Peak memory usage: 99 MB
% 46.51/7.99 % (3648506)Instructions burned: 134 (million)
% 46.51/7.99 % (3648508)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3248993039:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 46.51/7.99 % (3648508)Refutation not found, incomplete strategy
% 46.51/7.99 % (3648508)------------------------------
% 46.51/7.99 % (3648508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648508)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648508)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.99 % (3648508)Time elapsed: 0.057 s
% 46.51/7.99 % (3648508)Peak memory usage: 103 MB
% 46.51/7.99 % (3648508)Instructions burned: 64 (million)
% 46.51/7.99 % (3648510)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2397682519:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 46.51/7.99 % (3648510)Refutation not found, incomplete strategy
% 46.51/7.99 % (3648510)------------------------------
% 46.51/7.99 % (3648510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648510)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648510)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.99 % (3648510)Time elapsed: 0.074 s
% 46.51/7.99 % (3648510)Peak memory usage: 104 MB
% 46.51/7.99 % (3648510)Instructions burned: 92 (million)
% 46.51/7.99 % (3648508)------------------------------
% 46.51/7.99 % (3648508)------------------------------
% 46.51/7.99 % (3648510)------------------------------
% 46.51/7.99 % (3648510)------------------------------
% 46.51/7.99 % (3648513)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=4054080382:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 46.51/7.99 % (3648514)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=2574501468:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 46.51/7.99 % (3648514)Instruction limit reached!
% 46.51/7.99 % (3648514)------------------------------
% 46.51/7.99 % (3648514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648514)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648514)Termination reason: Instruction limit
% 46.51/7.99 % (3648514)Termination phase: Unused predicate definition removal
% 46.51/7.99 % (3648514)Time elapsed: 0.121 s
% 46.51/7.99 % (3648514)Peak memory usage: 101 MB
% 46.51/7.99 % (3648514)Instructions burned: 150 (million)
% 46.51/7.99 % (3648517)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3154584348:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 46.51/7.99 % (3648495)Instruction limit reached!
% 46.51/7.99 % (3648495)------------------------------
% 46.51/7.99 % (3648495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648495)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648495)Termination reason: Instruction limit
% 46.51/7.99 % (3648495)Termination phase: Saturation
% 46.51/7.99 % (3648495)Time elapsed: 3.560 s
% 46.51/7.99 % (3648495)Peak memory usage: 423 MB
% 46.51/7.99 % (3648495)Instructions burned: 5203 (million)
% 46.51/7.99 % (3648519)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=760638013:i=667:av=off:fsr=off_2946 on theBenchmark for (2946ds/667Mi)
% 46.51/7.99 % (3648519)Instruction limit reached!
% 46.51/7.99 % (3648519)------------------------------
% 46.51/7.99 % (3648519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648519)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648519)Termination reason: Instruction limit
% 46.51/7.99 % (3648519)Termination phase: NewCNF
% 46.51/7.99 % (3648519)Time elapsed: 0.468 s
% 46.51/7.99 % (3648519)Peak memory usage: 128 MB
% 46.51/7.99 % (3648519)Instructions burned: 667 (million)
% 46.51/7.99 % (3648521)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2347135517:s2a=on:i=185:s2at=1.8:fdi=4_2939 on theBenchmark for (2939ds/185Mi)
% 46.51/7.99 % (3648521)Instruction limit reached!
% 46.51/7.99 % (3648521)------------------------------
% 46.51/7.99 % (3648521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648521)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648521)Termination reason: Instruction limit
% 46.51/7.99 % (3648521)Termination phase: Unused predicate definition removal
% 46.51/7.99 % (3648521)Time elapsed: 0.150 s
% 46.51/7.99 % (3648521)Peak memory usage: 102 MB
% 46.51/7.99 % (3648521)Instructions burned: 185 (million)
% 46.51/7.99 % (3648523)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3743666295:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2936 on theBenchmark for (2936ds/193Mi)
% 46.51/7.99 % (3648523)Instruction limit reached!
% 46.51/7.99 % (3648523)------------------------------
% 46.51/7.99 % (3648523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.99 % (3648523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.99 % (3648523)CaDiCaL version: 2.1.3
% 46.51/7.99 % (3648523)Termination reason: Instruction limit
% 46.51/7.99 % (3648523)Termination phase: Property scanning
% 46.51/7.99 % (3648523)Time elapsed: 0.164 s
% 46.51/7.99 % (3648523)Peak memory usage: 103 MB
% 46.51/7.99 % (3648523)Instructions burned: 194 (million)
% 46.51/7.99 % (3648502)First to succeed.
% 46.51/7.99 % (3648502)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3648456"
% 46.51/7.99 % (3648525)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3795253124:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2933 on theBenchmark for (2933ds/4850Mi)
% 46.51/7.99 % (3648502)Refutation found. Thanks to Tanya!
% 46.51/7.99 % SZS status Theorem for theBenchmark
% 46.51/7.99 % SZS output start Proof for theBenchmark
% See solution above
% 47.53/8.19 % (3648502)------------------------------
% 47.53/8.19 % (3648502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.53/8.19 % (3648502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.53/8.19 % (3648502)CaDiCaL version: 2.1.3
% 47.53/8.19 % (3648502)Termination reason: Refutation
% 47.53/8.19 % (3648502)Time elapsed: 4.330 s
% 47.53/8.19 % (3648502)Peak memory usage: 245 MB
% 47.53/8.19 % (3648502)Instructions burned: 7038 (million)
% 47.53/8.19 % (3648502)------------------------------
% 47.53/8.19 % (3648502)------------------------------
% 47.53/8.19 % (3648456)Success in time 7.126 s
% 47.53/8.19 % Vampire exiting
%------------------------------------------------------------------------------