%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:48:43 AM UTC 2026
% Result : Theorem 1.99s 0.74s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 14
% Syntax : Number of formulae : 177 ( 28 unt; 1 def)
% Number of atoms : 995 ( 20 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1414 ( 596 ~; 695 |; 86 &)
% ( 5 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 2 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 270 ( 0 sgn 260 !; 10 ?)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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,
m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f91]) ).
fof(f150,plain,
v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f91]) ).
fof(f151,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f91]) ).
fof(f152,plain,
v4_waybel34(sK4,sK1,sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f153,plain,
v4_waybel34(sK3,sK0,sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f154,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,[],[f91]) ).
fof(f155,plain,
m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f91]) ).
fof(f156,plain,
v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f91]) ).
fof(f157,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f159,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f160,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f161,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( ~ v4_waybel34(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3)
| r4_waybel_0(X0,X1,X2,X3)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f194,plain,
! [X2,X0,X1] :
( m1_subset_1(sK5(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v4_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_finset_1(sK5(X0,X1,X2))
| v4_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,sK5(X0,X1,X2))
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v4_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f202,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f203,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(f209,plain,
! [X0,X1] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f213,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4_waybel_0(X0,X1,X4,X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))
| ~ l1_orders_2(X0)
| r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f261,plain,
l1_struct_0(sK0),
inference(resolution,[],[f202,f162]) ).
fof(f262,plain,
l1_struct_0(sK1),
inference(resolution,[],[f202,f160]) ).
fof(f265,plain,
m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(resolution,[],[f249,f149]) ).
fof(f266,plain,
m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f249,f155]) ).
fof(f284,definition,
( spl20_2
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f285,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl20_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f299,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl20_2 ),
inference(resolution,[],[f286,f213]) ).
fof(f301,plain,
( ~ l1_struct_0(sK1)
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f299,f161]) ).
fof(f302,plain,
( $false
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f301,f262]) ).
fof(f303,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f326,plain,
! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| k9_relat_1(sK3,X0) = k4_pre_topc(sK0,sK1,sK3,X0) ),
inference(resolution,[],[f246,f266]) ).
fof(f328,plain,
! [X0] :
( ~ v1_funct_1(sK3)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| k9_relat_1(sK3,X0) = k4_pre_topc(sK0,sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f326,f156]) ).
fof(f330,plain,
! [X0] :
( ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| k9_relat_1(sK3,X0) = k4_pre_topc(sK0,sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f328,f157]) ).
fof(f332,plain,
! [X0] :
( ~ l1_struct_0(sK0)
| k9_relat_1(sK3,X0) = k4_pre_topc(sK0,sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f330,f262]) ).
fof(f334,plain,
! [X0] : k9_relat_1(sK3,X0) = k4_pre_topc(sK0,sK1,sK3,X0),
inference(forward_subsumption_resolution,[],[f332,f261]) ).
fof(f337,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))
| ~ v1_funct_1(sK3)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f197,f334]) ).
fof(f338,plain,
! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_funct_1(sK3)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f337,f156]) ).
fof(f340,plain,
! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(sK0)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f338,f157]) ).
fof(f342,plain,
! [X0] :
( m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_struct_0(sK0)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f340,f262]) ).
fof(f344,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)) ),
inference(forward_subsumption_resolution,[],[f342,f261]) ).
fof(f346,plain,
! [X0] : m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f344,f266]) ).
fof(f371,plain,
! [X0,X1] :
( ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK1))
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK2),X0,sK4) = k5_relat_1(X0,sK4) ),
inference(resolution,[],[f247,f265]) ).
fof(f377,plain,
! [X0,X1] :
( ~ v1_funct_1(sK4)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK1))
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK2),X0,sK4) = k5_relat_1(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f371,f150]) ).
fof(f380,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK1))
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK2),X0,sK4) = k5_relat_1(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f377,f151]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK2),X0,sK4) = k5_relat_1(X0,sK4) )
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f380,f285]) ).
fof(f389,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| spl20_2 ),
inference(resolution,[],[f382,f266]) ).
fof(f393,plain,
( ~ v1_funct_1(sK3)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f389,f156]) ).
fof(f395,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4) = k5_relat_1(sK3,sK4)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f393,f157]) ).
fof(f396,plain,
( ~ v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(superposition,[],[f154,f395]) ).
fof(f398,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))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(superposition,[],[f200,f395]) ).
fof(f399,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))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(superposition,[],[f199,f395]) ).
fof(f400,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(superposition,[],[f201,f395]) ).
fof(f401,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f400,f150]) ).
fof(f402,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f399,f150]) ).
fof(f403,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f398,f150]) ).
fof(f405,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ m1_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f401,f151]) ).
fof(f406,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_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f402,f151]) ).
fof(f407,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_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f403,f151]) ).
fof(f409,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f405,f266]) ).
fof(f410,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))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f406,f266]) ).
fof(f411,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))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f407,f266]) ).
fof(f413,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f409,f156]) ).
fof(f414,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f410,f156]) ).
fof(f415,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f411,f156]) ).
fof(f417,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f413,f157]) ).
fof(f418,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f414,f157]) ).
fof(f419,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f415,f157]) ).
fof(f421,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| ~ m1_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f417,f285]) ).
fof(f422,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_2 ),
inference(forward_subsumption_resolution,[],[f418,f285]) ).
fof(f423,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_2 ),
inference(forward_subsumption_resolution,[],[f419,f285]) ).
fof(f425,plain,
( v1_funct_1(k5_relat_1(sK3,sK4))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f421,f265]) ).
fof(f426,plain,
( m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f422,f265]) ).
fof(f427,plain,
( v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f423,f265]) ).
fof(f725,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f193,f152]) ).
fof(f726,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f193,f153]) ).
fof(f727,plain,
! [X0] :
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f726,f163]) ).
fof(f728,plain,
! [X0] :
( ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f725,f161]) ).
fof(f729,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f727,f160]) ).
fof(f730,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f728,f158]) ).
fof(f731,plain,
! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f729,f161]) ).
fof(f732,plain,
! [X0] :
( ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f730,f159]) ).
fof(f733,plain,
! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f731,f155]) ).
fof(f734,plain,
! [X0] :
( ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f732,f149]) ).
fof(f735,plain,
! [X0] :
( ~ v1_funct_1(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f733,f156]) ).
fof(f736,plain,
! [X0] :
( ~ v1_funct_1(sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f734,f150]) ).
fof(f737,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK3,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f735,f157]) ).
fof(f738,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK1,sK2,sK4,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f736,f151]) ).
fof(f739,plain,
! [X0] :
( r4_waybel_0(sK0,sK1,sK3,X0)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f737,f162]) ).
fof(f740,plain,
! [X0] :
( r4_waybel_0(sK1,sK2,sK4,X0)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f738,f160]) ).
fof(f743,plain,
! [X2,X0,X1] :
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f256,f739]) ).
fof(f746,plain,
! [X2,X0,X1] :
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(duplicate_literal_removal,[],[f743]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f746,f163]) ).
fof(f750,plain,
! [X2,X0,X1] :
( v3_struct_0(sK1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f748,f160]) ).
fof(f752,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f750,f161]) ).
fof(f754,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sK3,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f752,f155]) ).
fof(f756,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f754,f156]) ).
fof(f758,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| ~ l1_orders_2(sK0)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f756,f157]) ).
fof(f760,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ r4_waybel_0(sK1,X0,X2,k4_pre_topc(sK0,sK1,sK3,X1))
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_subsumption_resolution,[],[f758,f162]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(sK1,X0,X2,k9_relat_1(sK3,X1))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(sK1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| r4_waybel_0(sK0,X0,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(X0),sK3,X2),X1)
| ~ v1_finset_1(X1) ),
inference(forward_demodulation,[],[f760,f334]) ).
fof(f765,plain,
! [X0] :
( ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f762,f740]) ).
fof(f766,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f765,f158]) ).
fof(f767,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f766,f159]) ).
fof(f768,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sK4,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_1(sK4)
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f767,f149]) ).
fof(f769,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK4)
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f768,f150]) ).
fof(f770,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(k9_relat_1(sK3,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f769,f151]) ).
fof(f771,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK2,k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),u1_struct_0(sK2),sK3,sK4),X0)
| ~ v1_finset_1(X0)
| ~ v1_finset_1(k9_relat_1(sK3,X0)) ),
inference(forward_subsumption_resolution,[],[f770,f346]) ).
fof(f772,plain,
( ! [X0] :
( ~ v1_finset_1(k9_relat_1(sK3,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK2,k5_relat_1(sK3,sK4),X0) )
| spl20_2 ),
inference(forward_demodulation,[],[f771,f395]) ).
fof(f1477,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f183,f203]) ).
fof(f1483,plain,
v1_relat_1(sK3),
inference(resolution,[],[f1477,f155]) ).
fof(f2130,plain,
( ! [X0] :
( ~ v1_funct_1(sK3)
| ~ v1_relat_1(sK3)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK2,k5_relat_1(sK3,sK4),X0) )
| spl20_2 ),
inference(resolution,[],[f209,f772]) ).
fof(f2132,plain,
( ! [X0] :
( ~ v1_funct_1(sK3)
| ~ v1_relat_1(sK3)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK2,k5_relat_1(sK3,sK4),X0) )
| spl20_2 ),
inference(duplicate_literal_removal,[],[f2130]) ).
fof(f2133,plain,
( ! [X0] :
( ~ v1_relat_1(sK3)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK2,k5_relat_1(sK3,sK4),X0) )
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f2132,f157]) ).
fof(f2134,plain,
( ! [X0] :
( r4_waybel_0(sK0,sK2,k5_relat_1(sK3,sK4),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0) )
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f2133,f1483]) ).
fof(f3276,plain,
( ~ m1_subset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(resolution,[],[f2134,f196]) ).
fof(f3280,plain,
( ~ v1_finset_1(sK5(sK0,sK2,k5_relat_1(sK3,sK4)))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3276,f194]) ).
fof(f3282,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3280,f195]) ).
fof(f3284,plain,
( ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3282,f163]) ).
fof(f3286,plain,
( v3_struct_0(sK2)
| ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3284,f158]) ).
fof(f3288,plain,
( ~ m2_relset_1(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3286,f159]) ).
fof(f3290,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK4),u1_struct_0(sK0),u1_struct_0(sK2))
| ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3288,f426]) ).
fof(f3292,plain,
( ~ v1_funct_1(k5_relat_1(sK3,sK4))
| ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3290,f427]) ).
fof(f3294,plain,
( ~ l1_orders_2(sK0)
| v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3292,f425]) ).
fof(f3295,plain,
( v4_waybel34(k5_relat_1(sK3,sK4),sK0,sK2)
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3294,f162]) ).
fof(f3296,plain,
( $false
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f3295,f396]) ).
fof(f3297,plain,
spl20_2,
inference(avatar_contradiction_clause,[],[f3296]) ).
cnf(s3,plain,
~ spl20_2,
inference(sat_conversion,[],[f303]) ).
cnf(s67,plain,
spl20_2,
inference(sat_conversion,[],[f3297]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s3,s67]) ).
fof(f3298,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n012.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 15:10:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/0.74 % (2488981)Will run a generic schedule for satisfiability detection.
% 1.99/0.74 % (2488987)% WARNING: option uhcvi not known.
% 1.99/0.74 % (2488990)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2794663008:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.99/0.74 % (2488987)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4046943977:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.99/0.74 % (2488988)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1153550371:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.99/0.74 % (2488989)dis+10_1_sil=32000:sp=arity:random_seed=88471448:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.99/0.74 % (2488986)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4001125382_2999 on theBenchmark for (2999ds/0Mi)
% 1.99/0.74 % (2488991)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3092692143:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.74 % (2488992)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=85370964:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.99/0.74 % TRYING [1]
% 1.99/0.74 % TRYING [2]
% 1.99/0.74 % TRYING [3]
% 1.99/0.74 % (2488990)Instruction limit reached!
% 1.99/0.74 % (2488990)------------------------------
% 1.99/0.74 % (2488990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2488990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2488990)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2488990)Termination reason: Instruction limit
% 1.99/0.74 % (2488990)Termination phase: Saturation
% 1.99/0.74 % (2488990)Time elapsed: 0.049 s
% 1.99/0.74 % (2488990)Peak memory usage: 13 MB
% 1.99/0.74 % (2488990)Instructions burned: 118 (million)
% 1.99/0.74 % (2488989)Instruction limit reached!
% 1.99/0.74 % (2488989)------------------------------
% 1.99/0.74 % (2488989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2488989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2488989)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2488989)Termination reason: Instruction limit
% 1.99/0.74 % (2488989)Termination phase: Saturation
% 1.99/0.74 % (2488989)Time elapsed: 0.056 s
% 1.99/0.74 % (2488989)Peak memory usage: 13 MB
% 1.99/0.74 % (2488989)Instructions burned: 104 (million)
% 1.99/0.74 % (2489000)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=174425588:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.99/0.74 % TRYING [1]
% 1.99/0.74 % TRYING [2]
% 1.99/0.74 % (2488991)Instruction limit reached!
% 1.99/0.74 % (2488991)------------------------------
% 1.99/0.74 % (2488991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2488991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2488991)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2488991)Termination reason: Instruction limit
% 1.99/0.74 % (2488991)Termination phase: Saturation
% 1.99/0.74 % (2488991)Time elapsed: 0.066 s
% 1.99/0.74 % (2488991)Peak memory usage: 13 MB
% 1.99/0.74 % (2488991)Instructions burned: 132 (million)
% 1.99/0.74 % TRYING [3]
% 1.99/0.74 % (2489001)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1994872261:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.74 % (2489003)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1748361917:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.99/0.74 % (2488992)Instruction limit reached!
% 1.99/0.74 % (2488992)------------------------------
% 1.99/0.74 % (2488992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2488992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2488992)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2488992)Termination reason: Instruction limit
% 1.99/0.74 % (2488992)Termination phase: Saturation
% 1.99/0.74 % (2488992)Time elapsed: 0.095 s
% 1.99/0.74 % (2488992)Peak memory usage: 15 MB
% 1.99/0.74 % (2488992)Instructions burned: 159 (million)
% 1.99/0.74 % (2489006)ott-21_1_sil=16000:fs=off:random_seed=3421528010:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.99/0.74 % (2489001)Instruction limit reached!
% 1.99/0.74 % (2489001)------------------------------
% 1.99/0.74 % (2489001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2489001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2489001)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2489001)Termination reason: Instruction limit
% 1.99/0.74 % (2489001)Termination phase: Saturation
% 1.99/0.74 % (2489001)Time elapsed: 0.077 s
% 1.99/0.74 % (2489001)Peak memory usage: 14 MB
% 1.99/0.74 % (2489001)Instructions burned: 132 (million)
% 1.99/0.74 % (2489008)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=798785219:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.99/0.74 % (2489006)Instruction limit reached!
% 1.99/0.74 % (2489006)------------------------------
% 1.99/0.74 % (2489006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (2489006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (2489006)CaDiCaL version: 2.1.3
% 1.99/0.74 % (2489006)Termination reason: Instruction limit
% 1.99/0.74 % (2489006)Termination phase: Saturation
% 1.99/0.74 % (2489006)Time elapsed: 0.091 s
% 1.99/0.74 % (2489006)Peak memory usage: 12 MB
% 1.99/0.74 % (2489006)Instructions burned: 181 (million)
% 1.99/0.74 % (2489010)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1235483231:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.99/0.74 % TRYING [1]
% 1.99/0.74 % TRYING [2]
% 1.99/0.74 % TRYING [3]
% 1.99/0.74 % (2489003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2488981-2489003"...
% 1.99/0.74 % (2489003)...printing done.
% 1.99/0.74 % (2489003)Refutation found. Thanks to Tanya!
% 1.99/0.74 % SZS status Theorem for theBenchmark
% 1.99/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.75 % (2489003)------------------------------
% 1.99/0.75 % (2489003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.75 % (2489003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.75 % (2489003)CaDiCaL version: 2.1.3
% 1.99/0.75 % (2489003)Termination reason: Refutation
% 1.99/0.75 % (2489003)Time elapsed: 0.224 s
% 1.99/0.75 % (2489003)Peak memory usage: 17 MB
% 1.99/0.75 % (2489003)Instructions burned: 449 (million)
% 1.99/0.75 % (2488981)Success in time 0.349 s
% 1.99/0.75 % Vampire exiting
%------------------------------------------------------------------------------