%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 1.48s 1.04s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 29
% Syntax : Number of formulae : 278 ( 38 unt; 16 def)
% Number of atoms : 1640 ( 24 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 2394 (1032 ~;1200 |; 110 &)
% ( 20 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 17 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 291 ( 0 sgn 279 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f17,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(f24,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(f28,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(f30,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(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f36,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(f43,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(f46,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(f58,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(f59,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(f60,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(f67,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(f90,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,[],[f2]) ).
fof(f91,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,[],[f90]) ).
fof(f101,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f109,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,[],[f24]) ).
fof(f110,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,[],[f109]) ).
fof(f111,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,[],[f28]) ).
fof(f112,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,[],[f111]) ).
fof(f115,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,[],[f30]) ).
fof(f116,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,[],[f115]) ).
fof(f117,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f118,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,[],[f36]) ).
fof(f119,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,[],[f43]) ).
fof(f120,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,[],[f119]) ).
fof(f125,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f126,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f125]) ).
fof(f133,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,[],[f58]) ).
fof(f134,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,[],[f133]) ).
fof(f135,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,[],[f59]) ).
fof(f136,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,[],[f135]) ).
fof(f144,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,[],[f67]) ).
fof(f145,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,[],[f144]) ).
fof(f149,plain,
( ~ v4_waybel34(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),sK0,sK2)
& v4_waybel34(sK3,sK0,sK1)
& v4_waybel34(sK4,sK1,sK2)
& v1_funct_1(sK4)
& v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
& m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
& m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK2)
& l1_orders_2(sK2)
& ~ v3_struct_0(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f91]) ).
fof(f150,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,[],[f110]) ).
fof(f151,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,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X1,X2))
& v1_finset_1(sK5(X0,X1,X2))
& m1_subset_1(sK5(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,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f151]) ).
fof(f167,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,[],[f60]) ).
fof(f168,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f149]) ).
fof(f169,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f149]) ).
fof(f170,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f149]) ).
fof(f171,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f149]) ).
fof(f172,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f149]) ).
fof(f173,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f149]) ).
fof(f174,plain,
m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f149]) ).
fof(f175,plain,
v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f149]) ).
fof(f176,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f149]) ).
fof(f177,plain,
m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f149]) ).
fof(f178,plain,
v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f149]) ).
fof(f179,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f149]) ).
fof(f180,plain,
v4_waybel34(sK4,sK1,sK2),
inference(cnf_transformation,[],[f149]) ).
fof(f181,plain,
v4_waybel34(sK3,sK0,sK1),
inference(cnf_transformation,[],[f149]) ).
fof(f182,plain,
~ v4_waybel34(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),sK0,sK2),
inference(cnf_transformation,[],[f149]) ).
fof(f202,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f214,plain,
! [X2,X0,X1,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(cnf_transformation,[],[f152]) ).
fof(f215,plain,
! [X2,X0,X1] :
( m1_subset_1(sK5(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,[],[f152]) ).
fof(f216,plain,
! [X2,X0,X1] :
( v1_finset_1(sK5(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,[],[f152]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,sK5(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,[],[f152]) ).
fof(f218,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,[],[f112]) ).
fof(f220,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,[],[f116]) ).
fof(f221,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,[],[f116]) ).
fof(f222,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,[],[f116]) ).
fof(f223,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f224,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,[],[f118]) ).
fof(f230,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,[],[f120]) ).
fof(f234,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),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))
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X3,X0,X1)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f269,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f270,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f277,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f145]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| k7_funct_2(X2,X0,X3,X1,X4) = k5_relat_1(X1,X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X3)
| v1_xboole_0(X0)
| ~ m2_relset_1(X1,X2,X0) ),
inference(resolution,[],[f268,f269]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4)))
| ~ r4_waybel_0(X1,X3,X4,k4_pre_topc(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),X0,X3)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f277,f217]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4)))
| ~ r4_waybel_0(X1,X3,X4,k4_pre_topc(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),X0,X3)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3)) ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3))
| ~ r4_waybel_0(X1,X3,X4,k4_pre_topc(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v4_waybel34(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),X0,X3)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4))
| ~ r4_waybel_0(X0,X1,X2,sK5(X0,X3,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X3),X2,X4),u1_struct_0(X0),u1_struct_0(X3)) ),
inference(forward_subsumption_resolution,[],[f288,f215]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| k7_funct_2(X1,X2,X3,X0,X4) = k5_relat_1(X0,X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X2,X3)
| v1_xboole_0(X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ m2_relset_1(X4,X2,X3) ),
inference(resolution,[],[f282,f269]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,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))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),u1_struct_0(X3),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ 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(resolution,[],[f289,f221]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,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))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),u1_struct_0(X3),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),u1_struct_0(X3),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f330,f270]) ).
fof(f332,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),u1_struct_0(X3),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f331,f270]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4] :
( ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),u1_struct_0(X3),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f332,f222]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( v4_waybel34(k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2),X3,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| ~ r4_waybel_0(X0,X1,X2,k4_pre_topc(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2))))
| ~ r4_waybel_0(X3,X0,X4,sK5(X3,X1,k7_funct_2(u1_struct_0(X3),u1_struct_0(X0),u1_struct_0(X1),X4,X2)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f333,f220]) ).
fof(f345,plain,
! [X0,X1] :
( ~ v1_funct_1(sK3)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X0,sK3,X1) = k5_relat_1(sK3,X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK1),X0)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(X1,u1_struct_0(sK1),X0) ),
inference(resolution,[],[f318,f175]) ).
fof(f352,plain,
! [X0,X1] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X0,sK3,X1) = k5_relat_1(sK3,X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK1),X0)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(X1,u1_struct_0(sK1),X0) ),
inference(forward_subsumption_resolution,[],[f345,f176]) ).
fof(f355,plain,
! [X0,X1] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X0,sK3,X1) = k5_relat_1(sK3,X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK1),X0)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m2_relset_1(X1,u1_struct_0(sK1),X0) ),
inference(forward_subsumption_resolution,[],[f352,f174]) ).
fof(f365,definition,
( spl20_3
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f366,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl20_3 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl20_4
<=> ! [X0,X1] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X0,sK3,X1) = k5_relat_1(sK3,X1)
| ~ m2_relset_1(X1,u1_struct_0(sK1),X0)
| ~ v1_funct_2(X1,u1_struct_0(sK1),X0)
| ~ v1_funct_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f370,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(sK1),X0)
| ~ m2_relset_1(X1,u1_struct_0(sK1),X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X0,sK3,X1) = k5_relat_1(sK3,X1)
| ~ v1_funct_1(X1) )
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f355,f369,f365]) ).
fof(f372,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl20_3 ),
inference(resolution,[],[f367,f234]) ).
fof(f376,plain,
( ~ l1_struct_0(sK1)
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f372,f171]) ).
fof(f379,plain,
( ~ l1_orders_2(sK1)
| ~ spl20_3 ),
inference(resolution,[],[f376,f223]) ).
fof(f380,plain,
( $false
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f379,f170]) ).
fof(f381,plain,
~ spl20_3,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f406,definition,
( spl20_5
<=> m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f407,plain,
( m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f408,plain,
( ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_5 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f410,definition,
( spl20_6
<=> m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f411,plain,
( m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_6 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl20_7
<=> r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
fof(f415,plain,
( r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| spl20_7 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f422,plain,
( ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_5 ),
inference(resolution,[],[f408,f269]) ).
fof(f423,plain,
( $false
| spl20_5 ),
inference(forward_subsumption_resolution,[],[f422,f177]) ).
fof(f424,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f447,definition,
( spl20_12
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl20_12])],[avatar_definition]) ).
fof(f448,plain,
( l1_struct_0(sK1)
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( ~ l1_struct_0(sK1)
| spl20_12 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f451,plain,
( ~ l1_orders_2(sK1)
| spl20_12 ),
inference(resolution,[],[f449,f223]) ).
fof(f452,plain,
( $false
| spl20_12 ),
inference(forward_subsumption_resolution,[],[f451,f170]) ).
fof(f453,plain,
spl20_12,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f464,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| spl20_6 ),
inference(resolution,[],[f412,f269]) ).
fof(f465,plain,
( $false
| spl20_6 ),
inference(forward_subsumption_resolution,[],[f464,f174]) ).
fof(f466,plain,
spl20_6,
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0) )
| ~ spl20_6 ),
inference(resolution,[],[f411,f267]) ).
fof(f472,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0) )
| ~ spl20_6
| ~ spl20_12 ),
inference(forward_subsumption_resolution,[],[f467,f448]) ).
fof(f475,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0) )
| ~ spl20_6
| ~ spl20_12 ),
inference(forward_subsumption_resolution,[],[f472,f176]) ).
fof(f485,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0) )
| ~ spl20_6
| ~ spl20_12 ),
inference(forward_subsumption_resolution,[],[f475,f175]) ).
fof(f487,definition,
( spl20_15
<=> ! [X0] : k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0) ),
introduced(definition,[new_symbols(definition,[spl20_15])],[avatar_definition]) ).
fof(f488,plain,
( ! [X0] : k4_pre_topc(sK0,sK1,sK3,X0) = k9_relat_1(sK3,X0)
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f490,definition,
( spl20_16
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl20_16])],[avatar_definition]) ).
fof(f491,plain,
( l1_struct_0(sK0)
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( ~ l1_struct_0(sK0)
| spl20_16 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( spl20_15
| ~ spl20_16
| ~ spl20_6
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f485,f447,f410,f490,f487]) ).
fof(f494,plain,
( ~ l1_orders_2(sK0)
| spl20_16 ),
inference(resolution,[],[f492,f223]) ).
fof(f495,plain,
( $false
| spl20_16 ),
inference(forward_subsumption_resolution,[],[f494,f168]) ).
fof(f496,plain,
spl20_16,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f497,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_waybel34(sK3,sK0,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(resolution,[],[f416,f214]) ).
fof(f498,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f497,f181]) ).
fof(f499,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f498,f176]) ).
fof(f500,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f499,f175]) ).
fof(f501,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f500,f174]) ).
fof(f502,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f501,f171]) ).
fof(f503,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f502,f170]) ).
fof(f504,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK0)
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f503,f169]) ).
fof(f505,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f504,f168]) ).
fof(f507,definition,
( spl20_17
<=> m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl20_17])],[avatar_definition]) ).
fof(f509,plain,
( ~ m1_subset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| spl20_17 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl20_18
<=> v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f512,plain,
( v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4)))
| spl20_18 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,plain,
( ~ spl20_17
| ~ spl20_18
| spl20_7 ),
inference(avatar_split_clause,[],[f505,f414,f511,f507]) ).
fof(f525,plain,
( ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| ~ v1_funct_1(sK4)
| ~ spl20_4 ),
inference(resolution,[],[f370,f178]) ).
fof(f528,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| ~ v1_funct_1(sK4)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f525,f177]) ).
fof(f530,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f528,f179]) ).
fof(f574,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl20_15 ),
inference(superposition,[],[f218,f488]) ).
fof(f575,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl20_15
| ~ spl20_16 ),
inference(forward_subsumption_resolution,[],[f574,f491]) ).
fof(f576,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16 ),
inference(forward_subsumption_resolution,[],[f575,f448]) ).
fof(f577,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16 ),
inference(forward_subsumption_resolution,[],[f576,f176]) ).
fof(f578,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16 ),
inference(forward_subsumption_resolution,[],[f577,f175]) ).
fof(f579,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16 ),
inference(forward_subsumption_resolution,[],[f578,f411]) ).
fof(f595,plain,
( ~ v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ spl20_4 ),
inference(superposition,[],[f182,f530]) ).
fof(f596,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(superposition,[],[f334,f530]) ).
fof(f599,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(superposition,[],[f221,f530]) ).
fof(f600,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(superposition,[],[f220,f530]) ).
fof(f601,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(superposition,[],[f222,f530]) ).
fof(f602,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f601,f366]) ).
fof(f603,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f600,f366]) ).
fof(f604,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f599,f366]) ).
fof(f607,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f596,f179]) ).
fof(f608,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f602,f176]) ).
fof(f609,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f603,f176]) ).
fof(f610,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f604,f176]) ).
fof(f613,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f607,f178]) ).
fof(f614,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f608,f175]) ).
fof(f615,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f609,f175]) ).
fof(f616,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f610,f175]) ).
fof(f619,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f613,f176]) ).
fof(f620,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f614,f411]) ).
fof(f621,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f615,f411]) ).
fof(f622,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f616,f411]) ).
fof(f625,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f619,f175]) ).
fof(f626,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f620,f179]) ).
fof(f627,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f621,f179]) ).
fof(f628,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f622,f179]) ).
fof(f631,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f625,f173]) ).
fof(f632,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f626,f178]) ).
fof(f633,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f627,f178]) ).
fof(f634,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f628,f178]) ).
fof(f637,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f631,f172]) ).
fof(f638,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f632,f407]) ).
fof(f639,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f633,f407]) ).
fof(f640,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f634,f407]) ).
fof(f643,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f637,f171]) ).
fof(f646,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f643,f170]) ).
fof(f649,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ l1_orders_2(sK0)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f646,f169]) ).
fof(f652,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f649,f168]) ).
fof(f655,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f652,f366]) ).
fof(f658,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_3
| ~ spl20_4
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f655,f411]) ).
fof(f661,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ r4_waybel_0(sK1,sK2,sK4,k4_pre_topc(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f658,f407]) ).
fof(f663,definition,
( spl20_21
<=> m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f667,definition,
( spl20_22
<=> r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f671,definition,
( spl20_23
<=> v1_funct_1(k5_relat_1(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl20_23])],[avatar_definition]) ).
fof(f672,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl20_24
<=> v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl20_24])],[avatar_definition]) ).
fof(f676,plain,
( ~ v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_24 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl20_25
<=> v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl20_25])],[avatar_definition]) ).
fof(f683,definition,
( spl20_26
<=> r4_waybel_0(sK1,sK2,sK4,k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl20_26])],[avatar_definition]) ).
fof(f685,plain,
( ~ r4_waybel_0(sK1,sK2,sK4,k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| spl20_26 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f687,plain,
( ~ r4_waybel_0(sK1,sK2,sK4,k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| ~ spl20_15 ),
inference(forward_demodulation,[],[f661,f488]) ).
fof(f688,plain,
( ~ spl20_22
| spl20_24
| ~ spl20_26
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f687,f487,f410,f406,f369,f365,f683,f675,f667]) ).
fof(f689,plain,
( spl20_23
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f638,f410,f406,f369,f365,f671]) ).
fof(f690,plain,
( ~ m1_subset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_4
| spl20_17 ),
inference(forward_demodulation,[],[f509,f530]) ).
fof(f691,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_17 ),
inference(resolution,[],[f690,f215]) ).
fof(f695,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f691,f672]) ).
fof(f696,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f695,f173]) ).
fof(f697,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f696,f172]) ).
fof(f698,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f697,f169]) ).
fof(f699,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f698,f168]) ).
fof(f700,plain,
( ~ spl20_21
| ~ spl20_25
| spl20_24
| ~ spl20_4
| spl20_17
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f699,f671,f507,f369,f675,f679,f663]) ).
fof(f701,plain,
( ~ spl20_24
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f595,f369,f675]) ).
fof(f708,plain,
( spl20_21
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f639,f410,f406,f369,f365,f663]) ).
fof(f712,plain,
( spl20_25
| spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f640,f410,f406,f369,f365,f679]) ).
fof(f714,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ spl20_4
| spl20_18 ),
inference(forward_demodulation,[],[f513,f530]) ).
fof(f715,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18 ),
inference(resolution,[],[f714,f216]) ).
fof(f718,plain,
( ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f715,f676]) ).
fof(f719,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f718,f672]) ).
fof(f720,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f719,f173]) ).
fof(f721,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f720,f172]) ).
fof(f722,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f721,f169]) ).
fof(f723,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(forward_subsumption_resolution,[],[f722,f168]) ).
fof(f724,plain,
( ~ spl20_21
| ~ spl20_25
| ~ spl20_4
| spl20_18
| ~ spl20_23
| spl20_24 ),
inference(avatar_split_clause,[],[f723,f675,f671,f511,f369,f679,f663]) ).
fof(f725,plain,
( r4_waybel_0(sK0,sK1,sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ spl20_4
| ~ spl20_7 ),
inference(forward_demodulation,[],[f415,f530]) ).
fof(f727,plain,
( v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ spl20_4
| ~ spl20_18 ),
inference(forward_demodulation,[],[f512,f530]) ).
fof(f728,plain,
( spl20_22
| ~ spl20_4
| ~ spl20_7 ),
inference(avatar_split_clause,[],[f725,f414,f369,f667]) ).
fof(f945,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ m1_subset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_waybel34(sK4,sK1,sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl20_26 ),
inference(resolution,[],[f685,f214]) ).
fof(f946,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ v4_waybel34(sK4,sK1,sK2)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f945,f579]) ).
fof(f947,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f946,f180]) ).
fof(f948,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f947,f179]) ).
fof(f949,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f948,f178]) ).
fof(f950,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f949,f177]) ).
fof(f951,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f950,f173]) ).
fof(f952,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f951,f172]) ).
fof(f953,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ l1_orders_2(sK1)
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f952,f171]) ).
fof(f954,plain,
( ~ v1_finset_1(k9_relat_1(sK3,sK5(sK0,sK2,k5_relat_1(sK3,sK4))))
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f953,f170]) ).
fof(f970,plain,
( ~ v1_relat_1(sK3)
| ~ v1_funct_1(sK3)
| ~ v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(resolution,[],[f954,f230]) ).
fof(f973,plain,
( ~ v1_relat_1(sK3)
| ~ v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f970,f176]) ).
fof(f974,plain,
( ~ v1_relat_1(sK3)
| ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f973,f727]) ).
fof(f977,plain,
( ! [X0,X1] : ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(resolution,[],[f974,f202]) ).
fof(f980,plain,
( ! [X0,X1] : ~ m2_relset_1(sK3,X0,X1)
| ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(resolution,[],[f977,f224]) ).
fof(f986,plain,
( $false
| ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(resolution,[],[f980,f174]) ).
fof(f988,plain,
( ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(avatar_contradiction_clause,[],[f986]) ).
cnf(s2,plain,
( spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f371]) ).
cnf(s3,plain,
~ spl20_3,
inference(sat_conversion,[],[f381]) ).
cnf(s5,plain,
spl20_5,
inference(sat_conversion,[],[f424]) ).
cnf(s8,plain,
spl20_12,
inference(sat_conversion,[],[f453]) ).
cnf(s11,plain,
spl20_6,
inference(sat_conversion,[],[f466]) ).
cnf(s13,plain,
( ~ spl20_6
| ~ spl20_12
| spl20_15
| ~ spl20_16 ),
inference(sat_conversion,[],[f493]) ).
cnf(s14,plain,
spl20_16,
inference(sat_conversion,[],[f496]) ).
cnf(s15,plain,
( spl20_7
| ~ spl20_17
| ~ spl20_18 ),
inference(sat_conversion,[],[f514]) ).
cnf(s19,plain,
( spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| ~ spl20_15
| ~ spl20_22
| spl20_24
| ~ spl20_26 ),
inference(sat_conversion,[],[f688]) ).
cnf(s20,plain,
( spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| spl20_23 ),
inference(sat_conversion,[],[f689]) ).
cnf(s21,plain,
( ~ spl20_4
| spl20_17
| ~ spl20_21
| ~ spl20_23
| spl20_24
| ~ spl20_25 ),
inference(sat_conversion,[],[f700]) ).
cnf(s22,plain,
( ~ spl20_4
| ~ spl20_24 ),
inference(sat_conversion,[],[f701]) ).
cnf(s23,plain,
( spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| spl20_21 ),
inference(sat_conversion,[],[f708]) ).
cnf(s24,plain,
( spl20_3
| ~ spl20_4
| ~ spl20_5
| ~ spl20_6
| spl20_25 ),
inference(sat_conversion,[],[f712]) ).
cnf(s25,plain,
( ~ spl20_4
| spl20_18
| ~ spl20_21
| ~ spl20_23
| spl20_24
| ~ spl20_25 ),
inference(sat_conversion,[],[f724]) ).
cnf(s26,plain,
( ~ spl20_4
| ~ spl20_7
| spl20_22 ),
inference(sat_conversion,[],[f728]) ).
cnf(s35,plain,
( ~ spl20_4
| ~ spl20_6
| ~ spl20_12
| ~ spl20_15
| ~ spl20_16
| ~ spl20_18
| spl20_26 ),
inference(sat_conversion,[],[f988]) ).
cnf(s38,plain,
( ~ spl20_6
| ~ spl20_12
| spl20_15 ),
inference(rat,[],[s13,s14]) ).
cnf(s42,plain,
spl20_15,
inference(rat,[],[s38,s11,s8]) ).
cnf(s48,plain,
spl20_4,
inference(rat,[],[s2,s3]) ).
cnf(s49,plain,
spl20_25,
inference(rat,[],[s24,s3,s11,s5,s48]) ).
cnf(s50,plain,
spl20_21,
inference(rat,[],[s23,s3,s11,s5,s48]) ).
cnf(s51,plain,
~ spl20_24,
inference(rat,[],[s22,s48]) ).
cnf(s52,plain,
spl20_23,
inference(rat,[],[s20,s3,s11,s5,s48]) ).
cnf(s54,plain,
spl20_18,
inference(rat,[],[s25,s49,s51,s52,s48,s50]) ).
cnf(s55,plain,
spl20_17,
inference(rat,[],[s21,s49,s51,s48,s50,s52]) ).
cnf(s57,plain,
spl20_26,
inference(rat,[],[s35,s48,s8,s14,s42,s11,s54]) ).
cnf(s58,plain,
spl20_7,
inference(rat,[],[s15,s54,s55]) ).
cnf(s60,plain,
~ spl20_22,
inference(rat,[],[s19,s48,s51,s3,s42,s11,s5,s57]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s26,s48,s60,s58]) ).
fof(f989,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:13:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/1.04 % (3648922)Detected formulas, will run a generic FOF schedule.
% 1.48/1.04 % (3648932)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=36990536:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.48/1.04 % (3648930)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2416037000:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.48/1.04 % (3648933)dis-21_1_sil=8000:lcm=predicate:random_seed=3437167329:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.48/1.04 % (3648931)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=588624464:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.48/1.04 % (3648928)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=1039707000:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.48/1.04 % (3648929)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=4145213364:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.48/1.04 % (3648927)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=2891652094:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.48/1.04 % (3648930)Refutation not found, incomplete strategy
% 1.48/1.04 % (3648930)------------------------------
% 1.48/1.04 % (3648930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.48/1.04 % (3648930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/1.04 % (3648930)CaDiCaL version: 2.1.3
% 1.48/1.04 % (3648930)Termination reason: Refutation not found, incomplete strategy
% 1.48/1.04 % (3648930)Time elapsed: 0.002 s
% 1.48/1.04 % (3648930)Peak memory usage: 88 MB
% 1.48/1.04 % (3648930)Instructions burned: 2 (million)
% 1.48/1.04 % (3648932)First to succeed.
% 1.48/1.04 % (3648932)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3648922"
% 1.48/1.04 % (3648931)Instruction limit reached!
% 1.48/1.04 % (3648931)------------------------------
% 1.48/1.04 % (3648931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.48/1.04 % (3648931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/1.04 % (3648931)CaDiCaL version: 2.1.3
% 1.48/1.04 % (3648931)Termination reason: Instruction limit
% 1.48/1.04 % (3648931)Termination phase: Saturation
% 1.48/1.04 % (3648931)Time elapsed: 0.063 s
% 1.48/1.04 % (3648931)Peak memory usage: 88 MB
% 1.48/1.04 % (3648931)Instructions burned: 119 (million)
% 1.48/1.04 % (3648933)Instruction limit reached!
% 1.48/1.04 % (3648933)------------------------------
% 1.48/1.04 % (3648933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.48/1.04 % (3648933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/1.04 % (3648933)CaDiCaL version: 2.1.3
% 1.48/1.04 % (3648933)Termination reason: Instruction limit
% 1.48/1.04 % (3648933)Termination phase: Saturation
% 1.48/1.04 % (3648933)Time elapsed: 0.069 s
% 1.48/1.04 % (3648933)Peak memory usage: 92 MB
% 1.48/1.04 % (3648933)Instructions burned: 130 (million)
% 1.48/1.04 % (3648942)lrs+10_1_sil=32000:urr=on:br=off:random_seed=809749538:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.48/1.04 % (3648942)Refutation not found, incomplete strategy
% 1.48/1.04 % (3648942)------------------------------
% 1.48/1.04 % (3648942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.48/1.04 % (3648942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/1.04 % (3648942)CaDiCaL version: 2.1.3
% 1.48/1.04 % (3648942)Termination reason: Refutation not found, incomplete strategy
% 1.48/1.04 % (3648942)Time elapsed: 0.006 s
% 1.48/1.04 % (3648942)Peak memory usage: 89 MB
% 1.48/1.04 % (3648942)Instructions burned: 17 (million)
% 1.48/1.04 % (3648941)lrs+10_1_sil=8000:sp=occurrence:random_seed=1999556130:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.48/1.04 % (3648941)Also succeeded, but the first one will report.
% 1.48/1.04 % (3648930)------------------------------
% 1.48/1.04 % (3648930)------------------------------
% 1.48/1.04 % (3648932)Refutation found. Thanks to Tanya!
% 1.48/1.04 % SZS status Theorem for theBenchmark
% 1.48/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.23 % (3648932)------------------------------
% 3.42/1.23 % (3648932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.23 % (3648932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.23 % (3648932)CaDiCaL version: 2.1.3
% 3.42/1.23 % (3648932)Termination reason: Refutation
% 3.42/1.23 % (3648932)Time elapsed: 0.037 s
% 3.42/1.23 % (3648932)Peak memory usage: 90 MB
% 3.42/1.23 % (3648932)Instructions burned: 55 (million)
% 3.42/1.23 % (3648932)------------------------------
% 3.42/1.23 % (3648932)------------------------------
% 3.42/1.23 % (3648922)Success in time 0.431 s
% 3.42/1.23 % Vampire exiting
%------------------------------------------------------------------------------