%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 : Fri Sep 25 01:59:44 PM UTC 2026
% Result : Theorem 4.79s 1.32s
% Output : CNFRefutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 158 ( 26 unt; 0 def)
% Number of atoms : 996 ( 143 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 1466 ( 628 ~; 720 |; 83 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 2 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 289 ( 0 sgn 277 !; 12 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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',t65_waybel34) ).
fof(f2,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,[status(cth)],[f1]) ).
fof(f14,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f27,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',d15_waybel34) ).
fof(f28,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',d16_waybel34) ).
fof(f30,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',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/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(f34,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',dt_k2_struct_0) ).
fof(f37,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f54,axiom,
! [X0] :
( l1_struct_0(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_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(f58,axiom,
! [X0,X1] :
( v1_finset_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(f74,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_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(f86,plain,
? [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(ennf_transformation,[],[f2]) ).
fof(f87,plain,
? [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(flattening,[],[f86]) ).
fof(f92,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f94,plain,
! [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) ) ) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f95,plain,
! [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) ) ) ) ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [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)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f97,plain,
! [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)) ) ) ) ) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [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)) ) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f99,plain,
! [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)) ) ) ) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f107,plain,
! [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_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
inference(ennf_transformation,[],[f74]) ).
fof(f108,plain,
! [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_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [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))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f110,plain,
! [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))) ),
inference(flattening,[],[f109]) ).
fof(f113,plain,
! [X0] :
( ~ l1_struct_0(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_xboole_0(k1_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f114,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f133,plain,
( l1_orders_2(sK0)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2)
& v4_waybel34(sK2,sK0,sK1)
& ( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f87]) ).
fof(f138,plain,
! [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) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(X3)
& ~ r4_waybel_0(X0,X1,X2,X3) )
| v4_waybel34(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f139,plain,
! [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)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4)
| r4_waybel_0(X0,X1,X2,X4) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(X3)
& ~ r4_waybel_0(X0,X1,X2,X3) )
| v4_waybel34(X2,X0,X1) ) ) ) ) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [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)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4)
| r4_waybel_0(X0,X1,X2,X4) ) )
& ( ( m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(sK7(X0,X1,X2))
& ~ r4_waybel_0(X0,X1,X2,sK7(X0,X1,X2)) )
| v4_waybel34(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f139]) ).
fof(f141,plain,
! [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)) ) ) )
& ( ? [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)) ) )
| v20_waybel_0(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f142,plain,
! [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)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6)) ) ) )
& ( ? [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)) ) )
| v20_waybel_0(X2,X0,X1) ) ) ) ) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [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)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6)) ) ) )
& ( ( m1_subset_1(sK8(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK9(X0,X1,X2),u1_struct_0(X0))
& ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2))) )
| v20_waybel_0(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2))],[f142]) ).
fof(f144,plain,
! [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)) )
& ( ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| v5_waybel34(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f151,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f152,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f153,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f133]) ).
fof(f154,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f133]) ).
fof(f155,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f133]) ).
fof(f156,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f133]) ).
fof(f157,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f133]) ).
fof(f158,plain,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f133]) ).
fof(f159,plain,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f166,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f169,plain,
! [X2,X0,X1,X4] :
( ~ l1_orders_2(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)
| ~ v4_waybel34(X2,X0,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4)
| r4_waybel_0(X0,X1,X2,X4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
! [X2,X0,X1,X6,X5] :
( ~ l1_orders_2(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)
| ~ v20_waybel_0(X2,X0,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(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)
| m1_subset_1(sK8(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(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)
| m1_subset_1(sK9(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(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)
| ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)))
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(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)
| ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| v5_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f195,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f198,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ 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_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ 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))) ),
inference(cnf_transformation,[],[f110]) ).
fof(f207,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_xboole_0(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f208,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_49,negated_conjecture,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_50,negated_conjecture,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f158]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f157]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_53,negated_conjecture,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f155]) ).
tcf(c_54,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f154]) ).
tcf(c_55,negated_conjecture,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f153]) ).
tcf(c_56,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f152]) ).
tcf(c_57,negated_conjecture,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_64,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r4_waybel_0(X1,X2,X0,X3)
| ~ v1_finset_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v4_waybel34(X0,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(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))
| ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2))) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v20_waybel_0(X0,X1,X2)
| m1_subset_1(sK9(X1,X2,X0),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v20_waybel_0(X0,X1,X2)
| m1_subset_1(sK8(X1,X2,X0),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r4_waybel_0(X1,X2,X0,k2_struct_0(X1,X3,X4))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v20_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_waybel34(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(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))
| ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f195]) ).
tcf(c_96,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_struct_0(X1,X0,X2) = k2_tarski(X0,X2) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k2_struct_0(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_100,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_106,plain,
! [X0: $i] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_164,plain,
( l1_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_186,plain,
( m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ r4_waybel_0(X1,X2,X0,k1_pre_topc(X1))
| ( X2 != sK1 )
| ( X1 != sK0 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_75]) ).
tcf(c_1353,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_1352]) ).
tcf(c_1354,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_1353,c_57,c_55,c_51,c_56,c_54,c_53,c_52,c_1353]) ).
tcf(c_1355,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0)) ),
inference(renaming,[status(thm)],[c_1354]) ).
tcf(c_1492,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(X2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)))
| ( X2 != sK2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_71]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_1492]) ).
tcf(c_1495,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ~ r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1493,c_51,c_1493]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_1495]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v20_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_74]) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v20_waybel_0(sK2,X0,X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_1558]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v20_waybel_0(sK2,X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1559,c_51,c_1559]) ).
tcf(c_1562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v20_waybel_0(sK2,X0,X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_1561]) ).
tcf(c_1597,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(X2,X0,X1)
| m1_subset_1(sK8(X0,X1,X2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_73]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK8(X0,X1,sK2),u1_struct_0(X0))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_1597]) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK8(X0,X1,sK2),u1_struct_0(X0))
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1598,c_51,c_1598]) ).
tcf(c_1601,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK8(X0,X1,sK2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_1600]) ).
tcf(c_1630,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(X2,X0,X1)
| m1_subset_1(sK9(X0,X1,X2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_72]) ).
tcf(c_1631,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK9(X0,X1,sK2),u1_struct_0(X0))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_1630]) ).
tcf(c_1633,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK9(X0,X1,sK2),u1_struct_0(X0))
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1631,c_51,c_1631]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| m1_subset_1(sK9(X0,X1,sK2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_1633]) ).
tcf(c_1663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v4_waybel34(X2,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_70]) ).
tcf(c_1664,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,X2)
| ~ v1_funct_1(sK2)
| ~ v1_finset_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_waybel34(sK2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_1663]) ).
tcf(c_1666,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,X2)
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_waybel34(sK2,X0,X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_finset_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_1664,c_51,c_1664]) ).
tcf(c_1667,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r4_waybel_0(X0,X1,sK2,X2)
| ~ v1_finset_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_waybel34(sK2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_1666]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v20_waybel_0(sK2,X0,X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( sK2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( k2_struct_0(X0,X2,X3) != k1_pre_topc(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_1355,c_1562]) ).
tcf(c_2440,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0) ) ),
inference(unflattening,[status(thm)],[c_2439]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i] :
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_2440,c_57,c_55,c_56,c_54,c_53,c_2440]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i] :
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0) ) ),
inference(renaming,[status(thm)],[c_2442]) ).
tcf(c_2463,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v1_finset_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v4_waybel34(sK2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( sK2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 )
| ( k1_pre_topc(sK0) != X2 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_1355,c_1667]) ).
tcf(c_2464,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ v4_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ 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))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_2463]) ).
tcf(c_2465,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_2464,c_57,c_55,c_56,c_54,c_50,c_164,c_53,c_186,c_2464]) ).
tcf(c_2466,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_2465]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ~ v1_finset_1(X2)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_waybel34(sK2,X3,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(sK2,u1_struct_0(X3),u1_struct_0(X4))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( sK2 != sK2 )
| ( X1 != X4 )
| ( X0 != X3 )
| ( u1_struct_0(X4) != u1_struct_0(sK1) )
| ( u1_struct_0(X3) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) )
| ( k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_1496,c_1667]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_waybel34(sK2,X0,X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_finset_1(k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)))
| ~ m1_subset_1(k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)),k1_zfmisc_1(u1_struct_0(X0)))
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_2481]) ).
tcf(c_2640,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v20_waybel_0(sK2,X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_finset_1(k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)))
| ~ m1_subset_1(k2_struct_0(X0,sK8(X0,X1,sK2),sK9(X0,X1,sK2)),k1_zfmisc_1(u1_struct_0(X0)))
| ( sK2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_2482]) ).
tcf(c_2641,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_2640]) ).
tcf(c_2642,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ~ 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(global_subsumption_just,[status(thm)],[c_2641,c_57,c_55,c_56,c_54,c_53,c_2641]) ).
tcf(c_2643,plain,
( v20_waybel_0(sK2,sK0,sK1)
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_2642]) ).
tcf(c_2962,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(resolution,[status(thm)],[c_2643,c_2466]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0) ) ),
inference(resolution,[status(thm)],[c_2643,c_2443]) ).
tcf(c_3009,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_subset_1(sK9(X0,X1,sK2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( sK2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_2466,c_1634]) ).
tcf(c_3010,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_3009]) ).
tcf(c_3011,plain,
( m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_3010,c_57,c_55,c_56,c_54,c_53,c_3010]) ).
tcf(c_3012,plain,
( m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_3011]) ).
tcf(c_3025,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_subset_1(sK8(X0,X1,sK2),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ( sK2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(X1) != u1_struct_0(sK1) )
| ( u1_struct_0(X0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_2466,c_1601]) ).
tcf(c_3026,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(unflattening,[status(thm)],[c_3025]) ).
tcf(c_3027,plain,
( m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( u1_struct_0(sK1) != u1_struct_0(sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_3026,c_57,c_55,c_56,c_54,c_53,c_3026]) ).
tcf(c_3028,plain,
( m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ( u1_struct_0(sK1) != u1_struct_0(sK1) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(renaming,[status(thm)],[c_3027]) ).
tcf(c_3134,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_64]) ).
tcf(c_3135,plain,
l1_struct_0(sK0),
inference(unflattening,[status(thm)],[c_3134]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_98]) ).
tcf(c_3250,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3249]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3250,c_57,c_164,c_3250]) ).
tcf(c_3253,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_3252]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_97]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i] :
( ( k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) )
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3264]) ).
tcf(c_3267,plain,
! [X0: $i,X1: $i] :
( ( k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) )
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3265,c_57,c_164,c_3265]) ).
tcf(c_3268,plain,
! [X0: $i,X1: $i] :
( ( k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_3267]) ).
tcf(c_3400,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_100,c_3135]) ).
tcf(c_3401,plain,
v1_xboole_0(k1_pre_topc(sK0)),
inference(unflattening,[status(thm)],[c_3400]) ).
tcf(c_3439,plain,
( m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(equality_resolution_simp,[status(thm)],[c_3028]) ).
tcf(c_3440,plain,
( m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(equality_resolution_simp,[status(thm)],[c_3012]) ).
tcf(c_3441,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0) ) ),
inference(equality_resolution_simp,[status(thm)],[c_2978]) ).
tcf(c_3443,plain,
( ~ v1_finset_1(k1_pre_topc(sK0))
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(equality_resolution_simp,[status(thm)],[c_2962]) ).
tcf(c_3776,plain,
( iPr_def_10
| ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3441]) ).
tcf(c_4395,plain,
v1_finset_1(k1_pre_topc(sK0)),
inference(superposition,[status(thm)],[c_3401,c_96]) ).
tcf(c_4410,plain,
m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3439,c_3439,c_4395]) ).
tcf(c_4415,plain,
! [X0: $i] :
( ( k2_struct_0(sK0,sK8(sK0,sK1,sK2),X0) = k2_tarski(sK8(sK0,sK1,sK2),X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4410,c_3268]) ).
tcf(c_4434,plain,
m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3440,c_3440,c_4395]) ).
tcf(c_4437,plain,
k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)) = k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),
inference(superposition,[status(thm)],[c_4434,c_4415]) ).
tcf(c_4655,plain,
( m1_subset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK9(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK8(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4437,c_3253]) ).
tcf(c_4656,plain,
m1_subset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_4655,c_4434,c_4410]) ).
tcf(c_4712,plain,
( ~ 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(global_subsumption_just,[status(thm)],[c_3776,c_3443,c_4395]) ).
tcf(c_4713,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_4712]) ).
tcf(c_4714,plain,
( ~ v1_finset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_tarski(sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(light_normalisation,[status(thm)],[c_4713,c_4437]) ).
tcf(c_4715,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4714,c_94,c_4656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 21:25:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 4.79/1.32 % SZS status Started for theBenchmark.p
% 4.79/1.32 % SZS status Theorem for theBenchmark.p
% 4.79/1.32
% 4.79/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.79/1.32
% 4.79/1.32 % ------ iProver source info
% 4.79/1.32
% 4.79/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.79/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.79/1.32 % git: non_committed_changes: false
% 4.79/1.32
% 4.79/1.32 % ------ Parsing...
% 4.79/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.79/1.32
% 4.79/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 55 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e %
% 4.79/1.32
% 4.79/1.32 % ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.79/1.32
% 4.79/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.79/1.32 % ------ Proving...
% 4.79/1.32 % ------ Problem Properties
% 4.79/1.32
% 4.79/1.32 %
% 4.79/1.32 % clauses 51
% 4.79/1.32 % conjectures 0
% 4.79/1.32 % EPR 5
% 4.79/1.32 % Horn 47
% 4.79/1.32 % unary 26
% 4.79/1.32 % binary 9
% 4.79/1.32 % lits 95
% 4.79/1.32 % lits eq 11
% 4.79/1.32 % fd_pure 0
% 4.79/1.32 % fd_pseudo 0
% 4.79/1.32 % fd_cond 0
% 4.79/1.32 % fd_pseudo_cond 1
% 4.79/1.32 % AC symbols 0
% 4.79/1.32
% 4.79/1.32 % ------ Schedule dynamic 5 is on
% 4.79/1.32
% 4.79/1.32 % ------ no conjectures: strip conj schedule
% 4.79/1.32
% 4.79/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.79/1.32
% 4.79/1.32
% 4.79/1.32 % ------
% 4.79/1.32 % Current options:
% 4.79/1.32 % ------
% 4.79/1.32
% 4.79/1.32
% 4.79/1.32 %
% 4.79/1.32
% 4.79/1.32 % ------ Proving...
% 4.79/1.32 %
% 4.79/1.32
% 4.79/1.32 % SZS status Theorem for theBenchmark.p
% 4.79/1.32
% 4.79/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.79/1.33
% 4.79/1.33
%------------------------------------------------------------------------------