%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT379+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 : n026.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 11:47:31 AM UTC 2026
% Result : Theorem 1.63s 1.30s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 11
% Syntax : Number of formulae : 105 ( 13 unt; 0 def)
% Number of atoms : 648 ( 4 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 904 ( 361 ~; 425 |; 83 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 148 ( 136 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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)
=> ( v20_waybel_0(X2,X0,X1)
& v5_waybel34(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_waybel34) ).
fof(f2,negated_conjecture,
~ ! [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)
=> ( v20_waybel_0(X2,X0,X1)
& v5_waybel34(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f14,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f27,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] :
( ( ~ 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)) )
=> ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_waybel34) ).
fof(f30,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)) )
=> ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(f31,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(f37,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f54,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v1_xboole_0(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(f58,axiom,
! [X0,X1] :
( ~ v1_xboole_0(k2_tarski(X0,X1))
& v1_finset_1(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(f74,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v20_waybel_0(X2,X0,X1)
| ~ v5_waybel34(X2,X0,X1) )
& 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(ennf_transformation,[],[f2]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v20_waybel_0(X2,X0,X1)
| ~ v5_waybel34(X2,X0,X1) )
& 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(flattening,[],[f85]) ).
fof(f91,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f93,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,[],[f27]) ).
fof(f94,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,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,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,[],[f30]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,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,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(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,[],[f28]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(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,[],[f97]) ).
fof(f102,plain,
! [X0] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f103,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f104,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f106,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f105]) ).
fof(f109,plain,
! [X0] :
( ( v1_xboole_0(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f110,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f122,plain,
( ( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v5_waybel34(sK2,sK0,sK1) )
& v4_waybel34(sK2,sK0,sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ 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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f86]) ).
fof(f127,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,[],[f94]) ).
fof(f128,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,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK7(X0,X1,X2))
& v1_finset_1(sK7(X0,X1,X2))
& m1_subset_1(sK7(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,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f128]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)))
& m1_subset_1(sK9(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK8(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2))],[f131]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v5_waybel34(X2,X0,X1)
| ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) )
& ( r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| ~ v5_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,[],[f98]) ).
fof(f140,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f122]) ).
fof(f141,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f122]) ).
fof(f142,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f143,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f144,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f122]) ).
fof(f145,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f122]) ).
fof(f146,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f122]) ).
fof(f147,plain,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f148,plain,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f155,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_waybel34(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| r4_waybel_0(X0,X1,X2,X4)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f163,plain,
! [X2,X0,X1] :
( m1_subset_1(sK8(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f164,plain,
! [X2,X0,X1] :
( m1_subset_1(sK9(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)))
| v20_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| v5_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,[],[f133]) ).
fof(f179,plain,
! [X0] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f180,plain,
! [X2,X0,X1] :
( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f181,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f188,plain,
! [X0] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f189,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f192,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f358,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_waybel34(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| r4_waybel_0(sK0,sK1,sK2,X0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f158,f144]) ).
fof(f360,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| r4_waybel_0(sK0,sK1,sK2,X0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f358,f147]) ).
fof(f361,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| r4_waybel_0(sK0,sK1,sK2,X0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f360,f146]) ).
fof(f362,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f361,f145]) ).
fof(f363,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f362,f143]) ).
fof(f364,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f363,f142]) ).
fof(f365,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f364,f141]) ).
fof(f366,plain,
! [X0] :
( r4_waybel_0(sK0,sK1,sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(X0) ),
inference(forward_subsumption_resolution,[],[f365,f140]) ).
fof(f367,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f366,f167]) ).
fof(f369,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f367,f146]) ).
fof(f370,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f369,f145]) ).
fof(f371,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f370,f144]) ).
fof(f372,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f371,f143]) ).
fof(f373,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f372,f142]) ).
fof(f374,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f373,f141]) ).
fof(f375,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| v5_waybel34(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f374,f140]) ).
fof(f376,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(resolution,[],[f165,f366]) ).
fof(f380,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f376,f146]) ).
fof(f382,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f380,f145]) ).
fof(f384,plain,
( v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f382,f144]) ).
fof(f385,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f384,f143]) ).
fof(f386,plain,
( v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f385,f142]) ).
fof(f387,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f386,f141]) ).
fof(f388,plain,
( ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v20_waybel_0(sK2,sK0,sK1)
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f387,f140]) ).
fof(f389,plain,
( v5_waybel34(sK2,sK0,sK1)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_struct_0(sK0) ),
inference(resolution,[],[f375,f189]) ).
fof(f390,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ l1_struct_0(sK0)
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(resolution,[],[f389,f148]) ).
fof(f400,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(resolution,[],[f388,f181]) ).
fof(f403,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| v20_waybel_0(sK2,sK0,sK1)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f400,f141]) ).
fof(f406,plain,
( ~ v1_finset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| v20_waybel_0(sK2,sK0,sK1)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(superposition,[],[f403,f180]) ).
fof(f407,plain,
( ~ v1_finset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| v20_waybel_0(sK2,sK0,sK1)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(duplicate_literal_removal,[],[f406]) ).
fof(f408,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f407,f192]) ).
fof(f409,plain,
( ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| v20_waybel_0(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f408,f141]) ).
fof(f410,plain,
( ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| v20_waybel_0(sK2,sK0,sK1)
| v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f409,f164]) ).
fof(f411,plain,
( ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(duplicate_literal_removal,[],[f410]) ).
fof(f412,plain,
( ~ l1_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f411,f163]) ).
fof(f413,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f412,f155]) ).
fof(f414,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f413,f146]) ).
fof(f415,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f414,f145]) ).
fof(f416,plain,
( v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f415,f144]) ).
fof(f417,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f416,f143]) ).
fof(f418,plain,
( v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f417,f142]) ).
fof(f419,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f418,f141]) ).
fof(f420,plain,
v20_waybel_0(sK2,sK0,sK1),
inference(forward_subsumption_resolution,[],[f419,f140]) ).
fof(f421,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_struct_0(sK0) ),
inference(resolution,[],[f420,f390]) ).
fof(f422,plain,
( ~ l1_struct_0(sK0)
| ~ v1_xboole_0(k1_pre_topc(sK0)) ),
inference(resolution,[],[f421,f179]) ).
fof(f423,plain,
~ l1_struct_0(sK0),
inference(forward_subsumption_resolution,[],[f422,f188]) ).
fof(f424,plain,
~ l1_orders_2(sK0),
inference(resolution,[],[f423,f155]) ).
fof(f425,plain,
$false,
inference(forward_subsumption_resolution,[],[f424,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n026.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:13:41 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 1.63/1.30 % (2973375)Detected formulas, will run a generic FOF schedule.
% 1.63/1.30 % (2973480)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=526366477:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.63/1.30 % (2973485)dis-21_1_sil=8000:lcm=predicate:random_seed=611384114: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)
% 1.63/1.30 % (2973479)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=2733987093:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.63/1.30 % (2973483)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=108541012:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.63/1.30 % (2973484)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2492222841:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.63/1.30 % (2973482)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1642929694:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.63/1.30 % (2973481)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=1822360225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.63/1.30 % (2973482)Refutation not found, incomplete strategy
% 1.63/1.30 % (2973482)------------------------------
% 1.63/1.30 % (2973482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.63/1.30 % (2973482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/1.30 % (2973482)CaDiCaL version: 2.1.3
% 1.63/1.30 % (2973482)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.30 % (2973482)Time elapsed: 0.003 s
% 1.63/1.30 % (2973482)Peak memory usage: 88 MB
% 1.63/1.30 % (2973482)Instructions burned: 4 (million)
% 1.63/1.30 % (2973483)First to succeed.
% 1.63/1.30 % (2973483)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2973375"
% 1.63/1.30 % (2973484)Also succeeded, but the first one will report.
% 1.63/1.30 % (2973485)Instruction limit reached!
% 1.63/1.30 % (2973485)------------------------------
% 1.63/1.30 % (2973485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.63/1.30 % (2973485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/1.30 % (2973485)CaDiCaL version: 2.1.3
% 1.63/1.30 % (2973485)Termination reason: Instruction limit
% 1.63/1.30 % (2973485)Termination phase: Saturation
% 1.63/1.30 % (2973485)Time elapsed: 0.073 s
% 1.63/1.30 % (2973485)Peak memory usage: 90 MB
% 1.63/1.30 % (2973485)Instructions burned: 130 (million)
% 1.63/1.30 % (2973540)lrs+10_1_sil=8000:sp=occurrence:random_seed=610045602:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.63/1.30 % (2973540)Also succeeded, but the first one will report.
% 1.63/1.30 % (2973482)------------------------------
% 1.63/1.30 % (2973482)------------------------------
% 1.63/1.30 % (2973483)Refutation found. Thanks to Tanya!
% 1.63/1.30 % SZS status Theorem for theBenchmark
% 1.63/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.49 % (2973483)------------------------------
% 3.49/1.49 % (2973483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.49 % (2973483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.49 % (2973483)CaDiCaL version: 2.1.3
% 3.49/1.49 % (2973483)Termination reason: Refutation
% 3.49/1.49 % (2973483)Time elapsed: 0.011 s
% 3.49/1.49 % (2973483)Peak memory usage: 88 MB
% 3.49/1.49 % (2973483)Instructions burned: 17 (million)
% 3.49/1.49 % (2973483)------------------------------
% 3.49/1.49 % (2973483)------------------------------
% 3.49/1.49 % (2973375)Success in time 0.404 s
% 3.49/1.49 % Vampire exiting
%------------------------------------------------------------------------------