TSTP Solution File: LAT379+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT379+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Fri May 3 02:35:37 EDT 2024
% Result : Theorem 3.87s 1.11s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 180 ( 29 unt; 0 def)
% Number of atoms : 1201 ( 192 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 1766 ( 745 ~; 823 |; 155 &)
% ( 9 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 339 ( 2 sgn 142 !; 26 ?)
% 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/sandbox2/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,[],[f1]) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(f31,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( 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/sandbox2/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(f37,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p',fc1_waybel_0) ).
fof(f58,axiom,
! [X0,X1] :
( v1_finset_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(f95,plain,
! [X0] :
( l1_orders_2(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)) ) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f97,plain,
! [X0] :
( l1_orders_2(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)) ) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f100,plain,
! [X0] :
( l1_orders_2(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))
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f103,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,[],[f2]) ).
fof(f104,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,[],[f103]) ).
fof(f131,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,[],[f27]) ).
fof(f132,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,[],[f131]) ).
fof(f133,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,[],[f28]) ).
fof(f134,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,[],[f133]) ).
fof(f136,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,[],[f30]) ).
fof(f137,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,[],[f136]) ).
fof(f138,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f139,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,[],[f34]) ).
fof(f140,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,[],[f139]) ).
fof(f141,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f159,plain,
! [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))
& v1_xboole_0(k1_pre_topc(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f170,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(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,[],[f74]) ).
fof(f171,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(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,[],[f170]) ).
fof(f182,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) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ v5_waybel34(X2,sK0,X1)
| ~ v20_waybel_0(X2,sK0,X1) )
& v4_waybel34(X2,sK0,X1)
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X1] :
( ? [X2] :
( ( ~ v5_waybel34(X2,sK0,X1)
| ~ v20_waybel_0(X2,sK0,X1) )
& v4_waybel34(X2,sK0,X1)
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ( ~ v5_waybel34(X2,sK0,sK1)
| ~ v20_waybel_0(X2,sK0,sK1) )
& v4_waybel34(X2,sK0,sK1)
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X2] :
( ( ~ v5_waybel34(X2,sK0,sK1)
| ~ v20_waybel_0(X2,sK0,sK1) )
& v4_waybel34(X2,sK0,sK1)
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
=> ( ( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) )
& v4_waybel34(sK2,sK0,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) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) )
& v4_waybel34(sK2,sK0,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)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1)
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f104,f184,f183,f182]) ).
fof(f186,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) ) )
& ( ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3) )
| ~ 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(nnf_transformation,[],[f132]) ).
fof(f187,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) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4) )
| ~ 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(rectify,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(X3) )
=> ( ~ r4_waybel_0(X0,X1,X2,sK3(X0,X1,X2))
& m1_subset_1(sK3(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(sK3(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_waybel34(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK3(X0,X1,X2))
& m1_subset_1(sK3(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& v1_finset_1(sK3(X0,X1,X2)) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4) )
| ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f187,f188]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v5_waybel34(X2,X0,X1)
| ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) )
& ( r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| ~ v5_waybel34(X2,X0,X1) ) )
| ~ 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(nnf_transformation,[],[f134]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ 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(nnf_transformation,[],[f137]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ 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(rectify,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ? [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)) )
=> ( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
=> ( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,X1,X2)))
& m1_subset_1(sK5(X0,X1,X2),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v20_waybel_0(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,X1,X2)))
& m1_subset_1(sK5(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v20_waybel_0(X2,X0,X1) ) )
| ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f192,f194,f193]) ).
fof(f233,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f185]) ).
fof(f234,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f185]) ).
fof(f235,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f185]) ).
fof(f236,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f185]) ).
fof(f237,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f185]) ).
fof(f238,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f185]) ).
fof(f239,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f185]) ).
fof(f240,plain,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f185]) ).
fof(f241,plain,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f291,plain,
! [X2,X0,X1,X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X4)
| ~ 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(cnf_transformation,[],[f189]) ).
fof(f296,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f190]) ).
fof(f298,plain,
! [X2,X0,X1,X6,X5] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X5,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ v20_waybel_0(X2,X0,X1)
| ~ 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(cnf_transformation,[],[f195]) ).
fof(f299,plain,
! [X2,X0,X1] :
( v20_waybel_0(X2,X0,X1)
| m1_subset_1(sK4(X0,X1,X2),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(cnf_transformation,[],[f195]) ).
fof(f300,plain,
! [X2,X0,X1] :
( v20_waybel_0(X2,X0,X1)
| m1_subset_1(sK5(X0,X1,X2),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(cnf_transformation,[],[f195]) ).
fof(f301,plain,
! [X2,X0,X1] :
( v20_waybel_0(X2,X0,X1)
| ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,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)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f302,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f303,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f140]) ).
fof(f304,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f342,plain,
! [X0] :
( v1_finset_1(k1_pre_topc(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f349,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f389,plain,
! [X2,X0,X1] :
( k2_struct_0(X0,X1,X2) = k2_tarski(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(cnf_transformation,[],[f171]) ).
cnf(c_49,negated_conjecture,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_50,negated_conjecture,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f240]) ).
cnf(c_51,negated_conjecture,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f239]) ).
cnf(c_52,negated_conjecture,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f238]) ).
cnf(c_53,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f237]) ).
cnf(c_54,negated_conjecture,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f236]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f235]) ).
cnf(c_56,negated_conjecture,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f234]) ).
cnf(c_57,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f233]) ).
cnf(c_108,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_waybel34(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_finset_1(X3)
| r4_waybel_0(X1,X2,X0,X3)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_109,plain,
( ~ 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(X0)
| ~ l1_orders_2(X1)
| v5_waybel34(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_112,plain,
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,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)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v20_waybel_0(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_113,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| m1_subset_1(sK5(X1,X2,X0),u1_struct_0(X1))
| v20_waybel_0(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_114,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| m1_subset_1(sK4(X1,X2,X0),u1_struct_0(X1))
| v20_waybel_0(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_115,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v20_waybel_0(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| r4_waybel_0(X1,X2,X0,k2_struct_0(X1,X3,X4))
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_116,plain,
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_117,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| m1_subset_1(k2_struct_0(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_118,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_160,plain,
( ~ l1_orders_2(X0)
| v1_finset_1(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_162,plain,
v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f349]) ).
cnf(c_203,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| k2_struct_0(X1,X0,X2) = k2_tarski(X0,X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_306,plain,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
cnf(c_378,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_118]) ).
cnf(c_392,plain,
( ~ l1_orders_2(X0)
| v1_finset_1(k1_pre_topc(X0)) ),
inference(prop_impl_just,[status(thm)],[c_160]) ).
cnf(c_402,plain,
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(prop_impl_just,[status(thm)],[c_116]) ).
cnf(c_2326,plain,
( X0 != sK2
| X1 != sK0
| X2 != sK1
| ~ r4_waybel_0(X1,X2,X0,k1_pre_topc(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))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_306,c_109]) ).
cnf(c_2327,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_2326]) ).
cnf(c_2328,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_2327,c_56,c_54,c_53,c_57,c_55,c_52,c_51,c_2327]) ).
cnf(c_2329,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_pre_topc(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(renaming,[status(thm)],[c_2328]) ).
cnf(c_2466,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X2 != sK2
| ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,X1,X2)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v20_waybel_0(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_112]) ).
cnf(c_2467,plain,
( 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,sK4(X0,X1,sK2),sK5(X0,X1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(sK2)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2466]) ).
cnf(c_2469,plain,
( ~ 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,sK4(X0,X1,sK2),sK5(X0,X1,sK2)))
| u1_struct_0(X1) != u1_struct_0(sK1)
| u1_struct_0(X0) != u1_struct_0(sK0)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2467,c_53,c_2467]) ).
cnf(c_2470,plain,
( 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,sK4(X0,X1,sK2),sK5(X0,X1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2469]) ).
cnf(c_2532,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X2 != sK2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v20_waybel_0(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_115]) ).
cnf(c_2533,plain,
( 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)
| ~ v1_funct_1(sK2)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2532]) ).
cnf(c_2535,plain,
( ~ 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)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2533,c_53,c_2533]) ).
cnf(c_2536,plain,
( 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)
| r4_waybel_0(X0,X1,sK2,k2_struct_0(X0,X2,X3))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2535]) ).
cnf(c_2571,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X2 != sK2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_114]) ).
cnf(c_2572,plain,
( 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)
| ~ v1_funct_1(sK2)
| m1_subset_1(sK4(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2571]) ).
cnf(c_2574,plain,
( ~ 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)
| m1_subset_1(sK4(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2572,c_53,c_2572]) ).
cnf(c_2575,plain,
( 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)
| m1_subset_1(sK4(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2574]) ).
cnf(c_2604,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X2 != sK2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| m1_subset_1(sK5(X0,X1,X2),u1_struct_0(X0))
| v20_waybel_0(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_113]) ).
cnf(c_2605,plain,
( 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)
| ~ v1_funct_1(sK2)
| m1_subset_1(sK5(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2604]) ).
cnf(c_2607,plain,
( ~ 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)
| m1_subset_1(sK5(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2605,c_53,c_2605]) ).
cnf(c_2608,plain,
( 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)
| m1_subset_1(sK5(X0,X1,sK2),u1_struct_0(X0))
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2607]) ).
cnf(c_2637,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X2 != sK2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_waybel34(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_finset_1(X3)
| r4_waybel_0(X0,X1,X2,X3)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_108]) ).
cnf(c_2638,plain,
( 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)
| ~ v1_funct_1(sK2)
| r4_waybel_0(X0,X1,sK2,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2637]) ).
cnf(c_2640,plain,
( ~ 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)
| r4_waybel_0(X0,X1,sK2,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2638,c_53,c_2638]) ).
cnf(c_2641,plain,
( 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)
| r4_waybel_0(X0,X1,sK2,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_2640]) ).
cnf(c_3427,plain,
( k2_struct_0(X0,X2,X3) != k1_pre_topc(sK0)
| u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X0 != sK0
| X1 != sK1
| sK2 != sK2
| ~ 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))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_2329,c_2536]) ).
cnf(c_3428,plain,
( 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)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_3427]) ).
cnf(c_3430,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_3428,c_56,c_54,c_57,c_55,c_51,c_3428]) ).
cnf(c_3431,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(renaming,[status(thm)],[c_3430]) ).
cnf(c_3451,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| k1_pre_topc(sK0) != X2
| X0 != sK0
| X1 != sK1
| sK2 != sK2
| ~ 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)
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_finset_1(X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_2329,c_2641]) ).
cnf(c_3452,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v4_waybel34(sK2,sK0,sK1)
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_3451]) ).
cnf(c_3453,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3452,c_56,c_54,c_57,c_55,c_50,c_51,c_3452]) ).
cnf(c_3454,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v20_waybel_0(sK2,sK0,sK1)
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(renaming,[status(thm)],[c_3453]) ).
cnf(c_3472,plain,
( k2_struct_0(X0,sK4(X0,X1,sK2),sK5(X0,X1,sK2)) != X2
| u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| u1_struct_0(X3) != u1_struct_0(sK0)
| u1_struct_0(X4) != u1_struct_0(sK1)
| X0 != X3
| X1 != X4
| sK2 != sK2
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK2,u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v4_waybel34(sK2,X3,X4)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X4)
| ~ v1_finset_1(X2)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X4) ),
inference(resolution_lifted,[status(thm)],[c_2470,c_2641]) ).
cnf(c_3473,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(X0,sK4(X0,X1,sK2),sK5(X0,X1,sK2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(k2_struct_0(X0,sK4(X0,X1,sK2),sK5(X0,X1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_waybel34(sK2,X0,X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_3472]) ).
cnf(c_3632,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| X0 != sK0
| X1 != sK1
| sK2 != sK2
| ~ m1_subset_1(k2_struct_0(X0,sK4(X0,X1,sK2),sK5(X0,X1,sK2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(k2_struct_0(X0,sK4(X0,X1,sK2),sK5(X0,X1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v20_waybel_0(sK2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_3473]) ).
cnf(c_3633,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_3632]) ).
cnf(c_3634,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(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)
| v20_waybel_0(sK2,sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_3633,c_56,c_54,c_57,c_55,c_51,c_3633]) ).
cnf(c_3635,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| v20_waybel_0(sK2,sK0,sK1) ),
inference(renaming,[status(thm)],[c_3634]) ).
cnf(c_4119,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0)) ),
inference(resolution,[status(thm)],[c_3635,c_3454]) ).
cnf(c_4138,plain,
( 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)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(resolution,[status(thm)],[c_3635,c_3431]) ).
cnf(c_4169,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| X0 != sK0
| X1 != sK1
| sK2 != sK2
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| m1_subset_1(sK5(X0,X1,sK2),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_3454,c_2608]) ).
cnf(c_4170,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4169]) ).
cnf(c_4171,plain,
( u1_struct_0(sK1) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_4170,c_56,c_54,c_57,c_55,c_51,c_4170]) ).
cnf(c_4172,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_4171]) ).
cnf(c_4188,plain,
( u1_struct_0(X0) != u1_struct_0(sK0)
| u1_struct_0(X1) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| X0 != sK0
| X1 != sK1
| sK2 != sK2
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| m1_subset_1(sK4(X0,X1,sK2),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_3454,c_2575]) ).
cnf(c_4189,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4188]) ).
cnf(c_4190,plain,
( u1_struct_0(sK1) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_4189,c_56,c_54,c_57,c_55,c_51,c_4189]) ).
cnf(c_4191,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_pre_topc(sK0))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_4190]) ).
cnf(c_4215,plain,
( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0)
| u1_struct_0(X2) != u1_struct_0(sK0)
| u1_struct_0(X3) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| X2 != sK0
| X3 != sK1
| sK2 != sK2
| ~ m2_relset_1(sK2,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| m1_subset_1(sK5(X2,X3,sK2),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_3431,c_2608]) ).
cnf(c_4216,plain,
( 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)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4215]) ).
cnf(c_4218,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_4216,c_56,c_54,c_57,c_55,c_51,c_4216]) ).
cnf(c_4219,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_4218]) ).
cnf(c_4239,plain,
( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0)
| u1_struct_0(X2) != u1_struct_0(sK0)
| u1_struct_0(X3) != u1_struct_0(sK1)
| u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| X2 != sK0
| X3 != sK1
| sK2 != sK2
| ~ m2_relset_1(sK2,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| m1_subset_1(sK4(X2,X3,sK2),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_3431,c_2575]) ).
cnf(c_4240,plain,
( 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)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_4239]) ).
cnf(c_4242,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_4240,c_56,c_54,c_57,c_55,c_51,c_4240]) ).
cnf(c_4243,plain,
( 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)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_4242]) ).
cnf(c_4380,plain,
( X0 != sK0
| v1_finset_1(k1_pre_topc(X0)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_392]) ).
cnf(c_4381,plain,
v1_finset_1(k1_pre_topc(sK0)),
inference(unflattening,[status(thm)],[c_4380]) ).
cnf(c_4385,plain,
( X0 != sK0
| l1_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_378]) ).
cnf(c_4386,plain,
l1_struct_0(sK0),
inference(unflattening,[status(thm)],[c_4385]) ).
cnf(c_4444,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4119,c_4381]) ).
cnf(c_4445,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4172,c_4381]) ).
cnf(c_4446,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4191,c_4381]) ).
cnf(c_4537,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_57,c_203]) ).
cnf(c_4538,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) ),
inference(unflattening,[status(thm)],[c_4537]) ).
cnf(c_4540,plain,
( ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_4538,c_4386,c_4538]) ).
cnf(c_4541,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k2_struct_0(sK0,X0,X1) = k2_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_4540]) ).
cnf(c_4552,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution_lifted,[status(thm)],[c_57,c_117]) ).
cnf(c_4553,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_4552]) ).
cnf(c_4555,plain,
( ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_4553,c_4386,c_4553]) ).
cnf(c_4556,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(k2_struct_0(sK0,X0,X1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_4555]) ).
cnf(c_4783,plain,
( X0 != sK0
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution_lifted,[status(thm)],[c_402,c_4386]) ).
cnf(c_4784,plain,
m1_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(unflattening,[status(thm)],[c_4783]) ).
cnf(c_4814,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4444,c_4784]) ).
cnf(c_4815,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4446,c_4784]) ).
cnf(c_4816,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| u1_struct_0(sK1) != u1_struct_0(sK1)
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4445,c_4784]) ).
cnf(c_4820,plain,
m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(equality_resolution_simp,[status(thm)],[c_4816]) ).
cnf(c_4821,plain,
m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(equality_resolution_simp,[status(thm)],[c_4815]) ).
cnf(c_4822,plain,
( ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))) ),
inference(equality_resolution_simp,[status(thm)],[c_4814]) ).
cnf(c_4823,plain,
( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(equality_resolution_simp,[status(thm)],[c_4243]) ).
cnf(c_4824,plain,
m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4823,c_4821]) ).
cnf(c_4826,plain,
( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(equality_resolution_simp,[status(thm)],[c_4219]) ).
cnf(c_4827,plain,
m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4826,c_4820]) ).
cnf(c_4829,plain,
( k2_struct_0(sK0,X0,X1) != k1_pre_topc(sK0)
| ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(equality_resolution_simp,[status(thm)],[c_4138]) ).
cnf(c_4830,plain,
( ~ m1_subset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_4829,c_4822]) ).
cnf(c_6604,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_struct_0(sK0,sK4(sK0,sK1,sK2),X0) = k2_tarski(sK4(sK0,sK1,sK2),X0) ),
inference(superposition,[status(thm)],[c_4824,c_4541]) ).
cnf(c_6656,plain,
( ~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4556,c_4830]) ).
cnf(c_6682,plain,
k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),
inference(superposition,[status(thm)],[c_4827,c_6604]) ).
cnf(c_6733,plain,
~ v1_finset_1(k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))),
inference(global_subsumption_just,[status(thm)],[c_6656,c_4820,c_4821,c_6656]) ).
cnf(c_6741,plain,
~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))),
inference(superposition,[status(thm)],[c_6682,c_6733]) ).
cnf(c_6770,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6741,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT379+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 17:56:19 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.87/1.11 % SZS status Started for theBenchmark.p
% 3.87/1.11 % SZS status Theorem for theBenchmark.p
% 3.87/1.11
% 3.87/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.87/1.11
% 3.87/1.11 ------ iProver source info
% 3.87/1.11
% 3.87/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.87/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.87/1.11 git: non_committed_changes: false
% 3.87/1.11
% 3.87/1.11 ------ Parsing...
% 3.87/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.87/1.11
% 3.87/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 85 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 20 sf_s rm: 19 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 19 0s sf_e pe_s pe_e
% 3.87/1.11
% 3.87/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.87/1.11
% 3.87/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.87/1.11 ------ Proving...
% 3.87/1.11 ------ Problem Properties
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11 clauses 81
% 3.87/1.11 conjectures 0
% 3.87/1.11 EPR 15
% 3.87/1.11 Horn 75
% 3.87/1.11 unary 46
% 3.87/1.11 binary 19
% 3.87/1.11 lits 133
% 3.87/1.11 lits eq 20
% 3.87/1.11 fd_pure 0
% 3.87/1.11 fd_pseudo 0
% 3.87/1.11 fd_cond 1
% 3.87/1.11 fd_pseudo_cond 1
% 3.87/1.11 AC symbols 0
% 3.87/1.11
% 3.87/1.11 ------ Input Options Time Limit: Unbounded
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11 ------
% 3.87/1.11 Current options:
% 3.87/1.11 ------
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11 ------ Proving...
% 3.87/1.11
% 3.87/1.11
% 3.87/1.11 % SZS status Theorem for theBenchmark.p
% 3.87/1.11
% 3.87/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.87/1.12
% 3.87/1.12
%------------------------------------------------------------------------------