TSTP Solution File: LAT379+3 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LAT379+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 10:35:26 EDT 2024
% Result : Theorem 6.58s 2.29s
% Output : Refutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 144 ( 15 unt; 0 def)
% Number of atoms : 713 ( 7 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 926 ( 357 ~; 430 |; 89 &)
% ( 20 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 12 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 117 ( 111 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33734,plain,
$false,
inference(avatar_sat_refutation,[],[f27589,f27973,f28862,f29140,f30540,f30740,f33350,f33374,f33598,f33602,f33718,f33732]) ).
fof(f33732,plain,
( ~ spl627_33
| spl627_2
| spl627_278 ),
inference(avatar_split_clause,[],[f33731,f33347,f27586,f27960]) ).
fof(f27960,plain,
( spl627_33
<=> m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_33])]) ).
fof(f27586,plain,
( spl627_2
<=> v20_waybel_0(sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_2])]) ).
fof(f33347,plain,
( spl627_278
<=> m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_278])]) ).
fof(f33731,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl627_2
| spl627_278 ),
inference(subsumption_resolution,[],[f33730,f27588]) ).
fof(f27588,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| spl627_2 ),
inference(avatar_component_clause,[],[f27586]) ).
fof(f33730,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33729,f22057]) ).
fof(f22057,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f19255]) ).
fof(f19255,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v5_waybel34(X2,X0,X1)
| ~ v20_waybel_0(X2,X0,X1) )
& v4_waybel34(X2,X0,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(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f19254]) ).
fof(f19254,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v5_waybel34(X2,X0,X1)
| ~ v20_waybel_0(X2,X0,X1) )
& v4_waybel34(X2,X0,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(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19015]) ).
fof(f19015,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( 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) )
=> ( v4_waybel34(X2,X0,X1)
=> ( v5_waybel34(X2,X0,X1)
& v20_waybel_0(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f19014]) ).
fof(f19014,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( 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) )
=> ( v4_waybel34(X2,X0,X1)
=> ( v5_waybel34(X2,X0,X1)
& v20_waybel_0(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f33729,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33728,f22052]) ).
fof(f22052,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f19255]) ).
fof(f33728,plain,
( ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33727,f22051]) ).
fof(f22051,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f19255]) ).
fof(f33727,plain,
( ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33726,f22056]) ).
fof(f22056,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f19255]) ).
fof(f33726,plain,
( ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33725,f22055]) ).
fof(f22055,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f19255]) ).
fof(f33725,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(subsumption_resolution,[],[f33721,f22058]) ).
fof(f22058,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f19255]) ).
fof(f33721,plain,
( ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_278 ),
inference(resolution,[],[f33349,f22371]) ).
fof(f22371,plain,
! [X2,X0,X1] :
( m1_subset_1(sK39(X0,X1,X2),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(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(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f19433]) ).
fof(f19433,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)) ) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f19432]) ).
fof(f19432,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)) ) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15015]) ).
fof(f15015,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( 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) )
=> ( 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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f33349,plain,
( ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| spl627_278 ),
inference(avatar_component_clause,[],[f33347]) ).
fof(f33718,plain,
( ~ spl627_33
| spl627_2
| spl627_277 ),
inference(avatar_split_clause,[],[f33717,f33343,f27586,f27960]) ).
fof(f33343,plain,
( spl627_277
<=> m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_277])]) ).
fof(f33717,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl627_2
| spl627_277 ),
inference(subsumption_resolution,[],[f33716,f27588]) ).
fof(f33716,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33715,f22057]) ).
fof(f33715,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33714,f22052]) ).
fof(f33714,plain,
( ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33713,f22051]) ).
fof(f33713,plain,
( ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33712,f22056]) ).
fof(f33712,plain,
( ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33711,f22055]) ).
fof(f33711,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(subsumption_resolution,[],[f33707,f22058]) ).
fof(f33707,plain,
( ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl627_277 ),
inference(resolution,[],[f33345,f22368]) ).
fof(f22368,plain,
! [X2,X0,X1] :
( m1_subset_1(sK40(X0,X1,X2),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(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(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f19433]) ).
fof(f33345,plain,
( ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| spl627_277 ),
inference(avatar_component_clause,[],[f33343]) ).
fof(f33602,plain,
( spl627_1
| ~ spl627_186
| ~ spl627_33
| ~ spl627_34
| ~ spl627_221 ),
inference(avatar_split_clause,[],[f33601,f30550,f27971,f27960,f30038,f27582]) ).
fof(f27582,plain,
( spl627_1
<=> v5_waybel34(sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_1])]) ).
fof(f30038,plain,
( spl627_186
<=> m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_186])]) ).
fof(f27971,plain,
( spl627_34
<=> ! [X0] :
( ~ v1_finset_1(X0)
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_34])]) ).
fof(f30550,plain,
( spl627_221
<=> v1_finset_1(k1_pre_topc(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_221])]) ).
fof(f33601,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_33
| ~ spl627_34
| ~ spl627_221 ),
inference(subsumption_resolution,[],[f30547,f30551]) ).
fof(f30551,plain,
( v1_finset_1(k1_pre_topc(sK0))
| ~ spl627_221 ),
inference(avatar_component_clause,[],[f30550]) ).
fof(f30547,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_33
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30546,f22057]) ).
fof(f30546,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_33
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30545,f27961]) ).
fof(f27961,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl627_33 ),
inference(avatar_component_clause,[],[f27960]) ).
fof(f30545,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30544,f22052]) ).
fof(f30544,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ 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(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30543,f22051]) ).
fof(f30543,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ 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(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30542,f22056]) ).
fof(f30542,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(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(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30541,f22055]) ).
fof(f30541,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30514,f22058]) ).
fof(f30514,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v5_waybel34(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(resolution,[],[f27972,f22380]) ).
fof(f22380,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(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(X0)
| v5_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f19443]) ).
fof(f19443,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f19442]) ).
fof(f19442,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19001]) ).
fof(f19001,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( 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) )
=> ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f27972,plain,
( ! [X0] :
( r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl627_34 ),
inference(avatar_component_clause,[],[f27971]) ).
fof(f33598,plain,
( ~ spl627_36
| spl627_186 ),
inference(avatar_contradiction_clause,[],[f33597]) ).
fof(f33597,plain,
( $false
| ~ spl627_36
| spl627_186 ),
inference(subsumption_resolution,[],[f33596,f27989]) ).
fof(f27989,plain,
( l1_struct_0(sK0)
| ~ spl627_36 ),
inference(avatar_component_clause,[],[f27988]) ).
fof(f27988,plain,
( spl627_36
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_36])]) ).
fof(f33596,plain,
( ~ l1_struct_0(sK0)
| spl627_186 ),
inference(subsumption_resolution,[],[f33591,f22786]) ).
fof(f22786,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f486,axiom,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f33591,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_struct_0(sK0)
| spl627_186 ),
inference(superposition,[],[f30040,f27245]) ).
fof(f27245,plain,
! [X0] :
( k1_xboole_0 = k1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f22049]) ).
fof(f22049,plain,
! [X0] :
( k1_xboole_0 = k1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6787]) ).
fof(f6787,axiom,
! [X0] :
( l1_struct_0(X0)
=> k1_xboole_0 = k1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30040,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| spl627_186 ),
inference(avatar_component_clause,[],[f30038]) ).
fof(f33374,plain,
( ~ spl627_277
| ~ spl627_278
| ~ spl627_36
| spl627_219 ),
inference(avatar_split_clause,[],[f33373,f30533,f27988,f33347,f33343]) ).
fof(f30533,plain,
( spl627_219
<=> m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_219])]) ).
fof(f33373,plain,
( ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ spl627_36
| spl627_219 ),
inference(subsumption_resolution,[],[f33372,f22057]) ).
fof(f33372,plain,
( ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ spl627_36
| spl627_219 ),
inference(subsumption_resolution,[],[f33363,f27989]) ).
fof(f33363,plain,
( ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl627_219 ),
inference(resolution,[],[f30535,f26894]) ).
fof(f26894,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f21892]) ).
fof(f21892,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f21891]) ).
fof(f21891,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f6436]) ).
fof(f6436,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30535,plain,
( ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| spl627_219 ),
inference(avatar_component_clause,[],[f30533]) ).
fof(f33350,plain,
( ~ spl627_277
| ~ spl627_278
| ~ spl627_36
| spl627_220 ),
inference(avatar_split_clause,[],[f33341,f30537,f27988,f33347,f33343]) ).
fof(f30537,plain,
( spl627_220
<=> v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl627_220])]) ).
fof(f33341,plain,
( ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ spl627_36
| spl627_220 ),
inference(subsumption_resolution,[],[f33340,f22057]) ).
fof(f33340,plain,
( ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ spl627_36
| spl627_220 ),
inference(subsumption_resolution,[],[f33339,f27989]) ).
fof(f33339,plain,
( ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl627_220 ),
inference(subsumption_resolution,[],[f33325,f27004]) ).
fof(f27004,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f2691]) ).
fof(f2691,axiom,
! [X0,X1] :
( v1_finset_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f33325,plain,
( ~ v1_finset_1(k2_tarski(sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(sK39(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK40(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl627_220 ),
inference(superposition,[],[f30539,f26895]) ).
fof(f26895,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) = k2_struct_0(X0,X1,X2)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f21894]) ).
fof(f21894,plain,
! [X0,X1,X2] :
( k2_tarski(X1,X2) = k2_struct_0(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f21893]) ).
fof(f21893,plain,
! [X0,X1,X2] :
( k2_tarski(X1,X2) = k2_struct_0(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f6438]) ).
fof(f6438,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k2_tarski(X1,X2) = k2_struct_0(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30539,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| spl627_220 ),
inference(avatar_component_clause,[],[f30537]) ).
fof(f30740,plain,
spl627_221,
inference(avatar_contradiction_clause,[],[f30739]) ).
fof(f30739,plain,
( $false
| spl627_221 ),
inference(subsumption_resolution,[],[f30732,f22058]) ).
fof(f30732,plain,
( ~ l1_orders_2(sK0)
| spl627_221 ),
inference(resolution,[],[f30552,f27226]) ).
fof(f27226,plain,
! [X0] :
( v1_finset_1(k1_pre_topc(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f22039]) ).
fof(f22039,plain,
! [X0] :
( ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19235]) ).
fof(f19235,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f19227]) ).
fof(f19227,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v5_membered(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f19220]) ).
fof(f19220,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f19214]) ).
fof(f19214,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f19202]) ).
fof(f19202,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f14873]) ).
fof(f14873,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_waybel_0(k1_pre_topc(X0),X0)
& v1_waybel_0(k1_pre_topc(X0),X0)
& v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30552,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| spl627_221 ),
inference(avatar_component_clause,[],[f30550]) ).
fof(f30540,plain,
( ~ spl627_219
| ~ spl627_220
| spl627_2
| ~ spl627_33
| ~ spl627_34 ),
inference(avatar_split_clause,[],[f30531,f27971,f27960,f27586,f30537,f30533]) ).
fof(f30531,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| spl627_2
| ~ spl627_33
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30530,f27588]) ).
fof(f30530,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_33
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30529,f22057]) ).
fof(f30529,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_33
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30528,f27961]) ).
fof(f30528,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30527,f22052]) ).
fof(f30527,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30526,f22051]) ).
fof(f30526,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ 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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30525,f22056]) ).
fof(f30525,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30524,f22055]) ).
fof(f30524,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(subsumption_resolution,[],[f30513,f22058]) ).
fof(f30513,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK39(sK0,sK1,sK2),sK40(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(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(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ spl627_34 ),
inference(resolution,[],[f27972,f22369]) ).
fof(f22369,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK39(X0,X1,X2),sK40(X0,X1,X2)))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(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(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f19433]) ).
fof(f29140,plain,
spl627_36,
inference(avatar_contradiction_clause,[],[f29139]) ).
fof(f29139,plain,
( $false
| spl627_36 ),
inference(subsumption_resolution,[],[f29138,f22058]) ).
fof(f29138,plain,
( ~ l1_orders_2(sK0)
| spl627_36 ),
inference(resolution,[],[f27990,f22194]) ).
fof(f22194,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19387]) ).
fof(f19387,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f27990,plain,
( ~ l1_struct_0(sK0)
| spl627_36 ),
inference(avatar_component_clause,[],[f27988]) ).
fof(f28862,plain,
spl627_33,
inference(avatar_split_clause,[],[f22053,f27960]) ).
fof(f22053,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f19255]) ).
fof(f27973,plain,
( spl627_34
| ~ spl627_33 ),
inference(avatar_split_clause,[],[f27969,f27960,f27971]) ).
fof(f27969,plain,
! [X0] :
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0) ),
inference(subsumption_resolution,[],[f27968,f22054]) ).
fof(f22054,plain,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f19255]) ).
fof(f27968,plain,
! [X0] :
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(subsumption_resolution,[],[f27967,f22057]) ).
fof(f27967,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(subsumption_resolution,[],[f27966,f22051]) ).
fof(f27966,plain,
! [X0] :
( ~ v1_funct_1(sK2)
| v3_struct_0(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(subsumption_resolution,[],[f27965,f22056]) ).
fof(f27965,plain,
! [X0] :
( ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| v3_struct_0(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(subsumption_resolution,[],[f27964,f22055]) ).
fof(f27964,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| v3_struct_0(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(subsumption_resolution,[],[f27610,f22058]) ).
fof(f27610,plain,
! [X0] :
( ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| v3_struct_0(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r4_waybel_0(sK0,sK1,sK2,X0)
| ~ v4_waybel34(sK2,sK0,sK1) ),
inference(resolution,[],[f22052,f22372]) ).
fof(f22372,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_finset_1(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| r4_waybel_0(X0,X1,X2,X3)
| ~ v4_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f19435]) ).
fof(f19435,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3) ) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f19434]) ).
fof(f19434,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3) ) )
| ~ 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(X1)
| v3_struct_0(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19000]) ).
fof(f19000,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( 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) )
=> ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(X3) )
=> r4_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f27589,plain,
( ~ spl627_1
| ~ spl627_2 ),
inference(avatar_split_clause,[],[f22050,f27586,f27582]) ).
fof(f22050,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v5_waybel34(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f19255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT379+3 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.11 % Command : run_vampire %s %d THM
% 0.10/0.32 % Computer : n001.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Jun 21 23:18:11 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.18/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.34 Running first-order theorem proving
% 0.18/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.49 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.49 % (29903)ott-1010_16:1_bsr=unit_only:sil=64000:sos=on:urr=on:sac=on:i=3480:sd=2:kws=inv_frequency:ins=4:ss=axioms:br=off_0 on theBenchmark for (2998ds/3480Mi)
% 1.27/1.49 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.49 % (29901)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=886:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on theBenchmark for (2998ds/886Mi)
% 1.27/1.49 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.49 % (29904)lrs+1011_1:1_sil=8000:nicw=on:i=1004:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2998ds/1004Mi)
% 1.27/1.49 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.49 % (29899)lrs-1011_8:1_plsq=on:urr=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=235504:sd=2:ss=axioms:sil=256000:kws=inv_frequency:gsp=on_0 on theBenchmark for (2998ds/235504Mi)
% 1.27/1.50 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.50 % (29902)lrs+1010_1:1_to=lpo:sil=8000:sos=on:spb=goal:rp=on:i=1785:nm=6:ss=included:sd=1_0 on theBenchmark for (2998ds/1785Mi)
% 1.27/1.50 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.50 % (29900)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1102:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/1102Mi)
% 1.27/1.50 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.27/1.50 % (29898)lrs-1002_12164383:1048576_anc=all_dependent:bsr=on:sil=256000:i=187735:bs=unit_only:awrs=decay:awrsf=132:ep=R:amm=off:uhcvi=on:abs=on_0 on theBenchmark for (2998ds/187735Mi)
% 1.27/1.59 % (29904)Refutation not found, incomplete strategy% (29904)------------------------------
% 1.27/1.59 % (29904)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.27/1.59 % (29904)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.27/1.59 % (29904)Termination reason: Refutation not found, incomplete strategy
% 1.27/1.59
% 1.27/1.59 % (29904)Memory used [KB]: 27521
% 1.27/1.59 % (29904)Time elapsed: 0.098 s
% 1.27/1.59 % (29904)Instructions burned: 144 (million)
% 1.27/1.59 % (29904)------------------------------
% 1.27/1.59 % (29904)------------------------------
% 1.42/1.65 % (29897)Running in auto input_syntax mode. Trying TPTP
% 1.42/1.65 % (29906)lrs+1002_1:4_sil=2000:fde=unused:plsq=on:plsqr=32,1:sos=on:bce=on:i=307:sd=1:ss=included:rawr=on_0 on theBenchmark for (2997ds/307Mi)
% 3.07/1.79 % (29906)Instruction limit reached!
% 3.07/1.79 % (29906)------------------------------
% 3.07/1.79 % (29906)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.07/1.79 % (29906)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.07/1.79 % (29906)Termination reason: Time limit
% 3.07/1.79 % (29906)Termination phase: Blocked clause elimination
% 3.07/1.79
% 3.07/1.79 % (29906)Memory used [KB]: 31209
% 3.07/1.79 % (29906)Time elapsed: 0.135 s
% 3.07/1.79 % (29906)Instructions burned: 309 (million)
% 3.70/1.82 % (29897)Running in auto input_syntax mode. Trying TPTP
% 3.70/1.82 % (29907)dis-1010_1:1_bsr=unit_only:to=lpo:sil=256000:fde=none:plsq=on:plsqr=205,29:sp=occurrence:sos=on:abs=on:newcnf=on:st=6.0:i=5784:sd=2:bd=off:amm=off:ss=axioms:rawr=on_0 on theBenchmark for (2995ds/5784Mi)
% 4.82/2.03 % (29901)Instruction limit reached!
% 4.82/2.03 % (29901)------------------------------
% 4.82/2.03 % (29901)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.82/2.03 % (29901)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.82/2.03 % (29901)Termination reason: Time limit
% 4.82/2.03 % (29901)Termination phase: NewCNF
% 4.82/2.03
% 4.82/2.03 % (29901)Memory used [KB]: 65339
% 4.82/2.03 % (29901)Time elapsed: 0.522 s
% 4.82/2.03 % (29901)Instructions burned: 886 (million)
% 4.82/2.09 % (29900)Instruction limit reached!
% 4.82/2.09 % (29900)------------------------------
% 4.82/2.09 % (29900)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.82/2.09 % (29900)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.82/2.09 % (29900)Termination reason: Time limit
% 4.82/2.09 % (29900)Termination phase: Saturation
% 4.82/2.09
% 4.82/2.09 % (29900)Memory used [KB]: 40152
% 4.82/2.09 % (29900)Time elapsed: 0.594 s
% 4.82/2.09 % (29900)Instructions burned: 1103 (million)
% 5.46/2.10 % (29897)Running in auto input_syntax mode. Trying TPTP
% 5.46/2.10 % (29908)lrs+2_1:1_sil=256000:plsq=on:plsqr=17685,131072:sos=on:lcm=reverse:i=311:av=off:ss=axioms:ep=RST:sd=2_0 on theBenchmark for (2992ds/311Mi)
% 5.46/2.16 % (29897)Running in auto input_syntax mode. Trying TPTP
% 5.46/2.16 % (29909)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=1126:ss=axioms:sgt=8_0 on theBenchmark for (2991ds/1126Mi)
% 6.58/2.28 % (29907)First to succeed.
% 6.58/2.28 % (29907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29897"
% 6.58/2.29 % (29908)Instruction limit reached!
% 6.58/2.29 % (29908)------------------------------
% 6.58/2.29 % (29908)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.58/2.29 % (29908)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.58/2.29 % (29908)Termination reason: Time limit
% 6.58/2.29 % (29908)Termination phase: Saturation
% 6.58/2.29
% 6.58/2.29 % (29908)Memory used [KB]: 29249
% 6.58/2.29 % (29908)Time elapsed: 0.212 s
% 6.58/2.29 % (29908)Instructions burned: 312 (million)
% 6.58/2.29 % (29897)Running in auto input_syntax mode. Trying TPTP
% 6.58/2.29 % (29907)Refutation found. Thanks to Tanya!
% 6.58/2.29 % SZS status Theorem for theBenchmark
% 6.58/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 6.58/2.29 % (29907)------------------------------
% 6.58/2.29 % (29907)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.58/2.29 % (29907)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.58/2.29 % (29907)Termination reason: Refutation
% 6.58/2.29
% 6.58/2.29 % (29907)Memory used [KB]: 37865
% 6.58/2.29 % (29907)Time elapsed: 0.482 s
% 6.58/2.29 % (29907)Instructions burned: 1225 (million)
% 6.58/2.29 % (29907)------------------------------
% 6.58/2.29 % (29907)------------------------------
% 6.58/2.29 % (29897)Success in time 1.005 s
%------------------------------------------------------------------------------