%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT374+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:28 AM UTC 2026
% Result : Theorem 3.64s 1.30s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 233 ( 24 unt; 13 def)
% Number of atoms : 1047 ( 29 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1342 ( 528 ~; 598 |; 147 &)
% ( 31 <=>; 36 =>; 0 <=; 2 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 13 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 200 ( 0 sgn 183 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f37,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f50,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( l2_altcat_1(X1)
=> ( m1_altcat_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_altcat_2) ).
fof(f51,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X4 = X2
& X5 = X3 )
=> ( k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| ! [X6] :
( m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3))
=> ( r2_hidden(X6,k1_altcat_1(X1,X4,X5))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2),k5_yellow21(k5_waybel34(X0),X2,X3,X6)),k3_yellow21(k5_waybel34(X0),X3),k3_yellow21(k5_waybel34(X0),X2)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel34) ).
fof(f65,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f67,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f68,axiom,
! [X0] :
( l1_altcat_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(f71,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f72,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( m1_altcat_2(X1,X0)
=> l2_altcat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f131,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_waybel34) ).
fof(f133,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f134,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f135,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f140,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v6_altcat_1(X1)
& v3_altcat_2(X1,k5_waybel34(X0))
& m1_altcat_2(X1,k5_waybel34(X0)) )
=> ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X0)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f51]) ).
fof(f180,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f181,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f180]) ).
fof(f227,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( m1_altcat_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f252,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f251]) ).
fof(f265,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f268,plain,
! [X0] :
( ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f269,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f271,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f291,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f292,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f291]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f324]) ).
fof(f327,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f133]) ).
fof(f328,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f327]) ).
fof(f329,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f135]) ).
fof(f330,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f329]) ).
fof(f343,definition,
! [X4,X3,X0,X1] :
( sP4(X4,X3,X0,X1)
<=> ! [X5] :
( ! [X6] :
( k1_xboole_0 = k1_altcat_1(k5_waybel34(X0),X3,X4)
| ! [X7] :
( ( r2_hidden(X7,k1_altcat_1(X1,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3),k5_yellow21(k5_waybel34(X0),X3,X4,X7)),k3_yellow21(k5_waybel34(X0),X4),k3_yellow21(k5_waybel34(X0),X3)) )
| ~ m1_subset_1(X7,k1_altcat_1(k5_waybel34(X0),X3,X4)) )
| X3 != X5
| X4 != X6
| ~ m1_subset_1(X6,u1_struct_0(X1)) )
| ~ m1_subset_1(X5,u1_struct_0(X1)) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( ( X1 = k9_waybel34(X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP4(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f252,f343]) ).
fof(f347,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f348,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f347]) ).
fof(f349,plain,
( ( ~ v1_orders_2(sK7)
| ~ v3_lattice3(sK7)
| ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& ( ( v1_orders_2(sK7)
& v3_lattice3(sK7)
& r2_hidden(u1_struct_0(sK7),sK6) )
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& v2_orders_2(sK7)
& v3_orders_2(sK7)
& v4_orders_2(sK7)
& v1_lattice3(sK7)
& v2_lattice3(sK7)
& l1_orders_2(sK7)
& ~ v2_setfam_1(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f348]) ).
fof(f356,plain,
! [X0] :
( ! [X1] :
( ( ( m1_altcat_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) )
| ~ m1_altcat_2(X1,X0) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(nnf_transformation,[],[f250]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( m1_altcat_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_altcat_1(X1),u1_altcat_1(X0))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),k3_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0)),u2_altcat_1(X1),u2_altcat_1(X0)) )
| ~ m1_altcat_2(X1,X0) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f356]) ).
fof(f362,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP4(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP4(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f344]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP4(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X3] :
( ! [X4] :
( sP4(X4,X3,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f362]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ? [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X3] :
( ? [X4] :
( ~ sP4(X4,X3,X0,X1)
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X6] :
( ! [X7] :
( sP4(X7,X6,X0,X1)
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(rectify,[],[f363]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k9_waybel34(X0)
| ( ~ m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK11(X0,X1),u1_struct_0(k5_waybel34(X0))) )
| ( ~ sP4(sK13(X0,X1),sK12(X0,X1),X0,X1)
& m1_subset_1(sK13(X0,X1),u1_struct_0(k5_waybel34(X0)))
& m1_subset_1(sK12(X0,X1),u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X6] :
( ! [X7] :
( sP4(X7,X6,X0,X1)
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X2,sK11(X0,X1)),skolemize(X3,sK12(X0,X1)),skolemize(X4,sK13(X0,X1))],[f364]) ).
fof(f397,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f325]) ).
fof(f398,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X0) )
& ( ( v1_orders_2(X1)
& v3_lattice3(X1)
& r2_hidden(u1_struct_0(X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f397]) ).
fof(f399,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f400,plain,
~ v2_setfam_1(sK6),
inference(cnf_transformation,[],[f349]) ).
fof(f401,plain,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f402,plain,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f403,plain,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f404,plain,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f405,plain,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f406,plain,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f349]) ).
fof(f407,plain,
( r2_hidden(u1_struct_0(sK7),sK6)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f408,plain,
( v3_lattice3(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f409,plain,
( v1_orders_2(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f410,plain,
( ~ v1_orders_2(sK7)
| ~ v3_lattice3(sK7)
| ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f508,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f563,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f576,plain,
! [X0,X1,X5] :
( m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| k9_waybel34(X0) != X1
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v6_altcat_1(X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f600,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f610,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f611,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f612,plain,
! [X0] :
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f613,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f614,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f615,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f617,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f618,plain,
! [X0,X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f643,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f777,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| r2_hidden(u1_struct_0(X1),X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f778,plain,
! [X0,X1] :
( v3_lattice3(X1)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f779,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_orders_2(X1) ),
inference(cnf_transformation,[],[f398]) ).
fof(f780,plain,
! [X0,X1] :
( ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f782,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f328]) ).
fof(f784,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f399]) ).
fof(f785,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f794,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(equality_resolution,[],[f576]) ).
fof(f804,definition,
( spl42_3
<=> m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f805,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| spl42_3 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
( m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f808,definition,
( spl42_4
<=> r2_hidden(u1_struct_0(sK7),sK6) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f809,plain,
( ~ r2_hidden(u1_struct_0(sK7),sK6)
| spl42_4 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f810,plain,
( r2_hidden(u1_struct_0(sK7),sK6)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f811,plain,
( spl42_3
| spl42_4 ),
inference(avatar_split_clause,[],[f407,f808,f804]) ).
fof(f813,definition,
( spl42_5
<=> v3_lattice3(sK7) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f814,plain,
( ~ v3_lattice3(sK7)
| spl42_5 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f815,plain,
( v3_lattice3(sK7)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,plain,
( spl42_3
| spl42_5 ),
inference(avatar_split_clause,[],[f408,f813,f804]) ).
fof(f818,definition,
( spl42_6
<=> v1_orders_2(sK7) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f819,plain,
( ~ v1_orders_2(sK7)
| spl42_6 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f820,plain,
( v1_orders_2(sK7)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f821,plain,
( spl42_3
| spl42_6 ),
inference(avatar_split_clause,[],[f409,f818,f804]) ).
fof(f822,plain,
( ~ spl42_3
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f410,f818,f813,f808,f804]) ).
fof(f929,plain,
! [X0] :
( v1_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6))) ),
inference(resolution,[],[f779,f400]) ).
fof(f931,plain,
( ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(resolution,[],[f929,f819]) ).
fof(f936,plain,
( ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f931,f406]) ).
fof(f963,plain,
( ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f936,f405]) ).
fof(f965,plain,
( ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f963,f404]) ).
fof(f967,plain,
( ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f965,f403]) ).
fof(f969,plain,
( ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f967,f402]) ).
fof(f971,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_6 ),
inference(forward_subsumption_resolution,[],[f969,f401]) ).
fof(f986,plain,
! [X0] :
( r2_hidden(u1_struct_0(X0),sK6)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6))) ),
inference(resolution,[],[f777,f400]) ).
fof(f988,plain,
( ! [X0] :
( ~ r2_hidden(sK7,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_6 ),
inference(resolution,[],[f971,f785]) ).
fof(f993,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_6 ),
inference(resolution,[],[f988,f782]) ).
fof(f994,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v2_altcat_1(k9_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f794,f614]) ).
fof(f995,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f994,f613]) ).
fof(f996,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f995,f612]) ).
fof(f997,plain,
! [X0,X5] :
( m1_subset_1(X5,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f996,f611]) ).
fof(f998,plain,
! [X0,X5] :
( v2_setfam_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X5,u1_struct_0(k9_waybel34(X0))) ),
inference(forward_subsumption_resolution,[],[f997,f610]) ).
fof(f1003,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(k9_waybel34(sK6)))
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6))) ),
inference(resolution,[],[f998,f400]) ).
fof(f1008,definition,
( spl42_17
<=> v1_xboole_0(u1_struct_0(k9_waybel34(sK6))) ),
introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition]) ).
fof(f1009,plain,
( ~ v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| spl42_17 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1010,plain,
( v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1022,plain,
( v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_3
| spl42_6 ),
inference(resolution,[],[f993,f806]) ).
fof(f1029,definition,
( spl42_19
<=> m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) ),
introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition]) ).
fof(f1030,plain,
( m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1031,plain,
( ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| spl42_19 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( ~ spl42_19
| spl42_17
| ~ spl42_3
| spl42_6 ),
inference(avatar_split_clause,[],[f1022,f818,f804,f1008,f1029]) ).
fof(f1033,plain,
( ~ r1_tarski(u1_struct_0(k9_waybel34(sK6)),u1_struct_0(k5_waybel34(sK6)))
| spl42_19 ),
inference(resolution,[],[f1031,f784]) ).
fof(f1035,plain,
( ~ m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6))
| ~ l2_altcat_1(k9_waybel34(sK6))
| ~ l2_altcat_1(k5_waybel34(sK6))
| spl42_19 ),
inference(resolution,[],[f1033,f563]) ).
fof(f1038,definition,
( spl42_20
<=> l2_altcat_1(k5_waybel34(sK6)) ),
introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition]) ).
fof(f1039,plain,
( l2_altcat_1(k5_waybel34(sK6))
| ~ spl42_20 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1040,plain,
( ~ l2_altcat_1(k5_waybel34(sK6))
| spl42_20 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1042,definition,
( spl42_21
<=> l2_altcat_1(k9_waybel34(sK6)) ),
introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition]) ).
fof(f1043,plain,
( l2_altcat_1(k9_waybel34(sK6))
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1044,plain,
( ~ l2_altcat_1(k9_waybel34(sK6))
| spl42_21 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl42_22
<=> m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6)) ),
introduced(definition,[new_symbols(definition,[spl42_22])],[avatar_definition]) ).
fof(f1048,plain,
( ~ m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6))
| spl42_22 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1049,plain,
( ~ spl42_20
| ~ spl42_21
| ~ spl42_22
| spl42_19 ),
inference(avatar_split_clause,[],[f1035,f1029,f1046,f1042,f1038]) ).
fof(f1050,plain,
( v1_xboole_0(sK6)
| spl42_20 ),
inference(resolution,[],[f1040,f600]) ).
fof(f1053,plain,
( v2_setfam_1(sK6)
| spl42_20 ),
inference(resolution,[],[f1050,f508]) ).
fof(f1054,plain,
( $false
| spl42_20 ),
inference(forward_subsumption_resolution,[],[f1053,f400]) ).
fof(f1055,plain,
spl42_20,
inference(avatar_contradiction_clause,[],[f1054]) ).
fof(f1144,plain,
( ! [X0] :
( ~ m1_altcat_2(k9_waybel34(sK6),X0)
| ~ l2_altcat_1(X0) )
| spl42_21 ),
inference(resolution,[],[f618,f1044]) ).
fof(f1145,plain,
( ~ l2_altcat_1(k5_waybel34(sK6))
| v2_setfam_1(sK6)
| spl42_21 ),
inference(resolution,[],[f1144,f610]) ).
fof(f1148,plain,
( v2_setfam_1(sK6)
| ~ spl42_20
| spl42_21 ),
inference(forward_subsumption_resolution,[],[f1145,f1039]) ).
fof(f1149,plain,
( $false
| ~ spl42_20
| spl42_21 ),
inference(forward_subsumption_resolution,[],[f1148,f400]) ).
fof(f1150,plain,
( ~ spl42_20
| spl42_21 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1158,plain,
( v2_setfam_1(sK6)
| spl42_22 ),
inference(resolution,[],[f1048,f610]) ).
fof(f1160,plain,
( $false
| spl42_22 ),
inference(forward_subsumption_resolution,[],[f1158,f400]) ).
fof(f1161,plain,
spl42_22,
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1174,plain,
( ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(resolution,[],[f809,f986]) ).
fof(f1181,plain,
( ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1174,f406]) ).
fof(f1182,plain,
( ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1181,f405]) ).
fof(f1183,plain,
( ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1182,f404]) ).
fof(f1184,plain,
( ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1183,f403]) ).
fof(f1185,plain,
( ~ l1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1184,f402]) ).
fof(f1186,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_4 ),
inference(forward_subsumption_resolution,[],[f1185,f401]) ).
fof(f1188,plain,
( v3_struct_0(k9_waybel34(sK6))
| ~ l1_struct_0(k9_waybel34(sK6))
| ~ spl42_17 ),
inference(resolution,[],[f1010,f643]) ).
fof(f1193,definition,
( spl42_37
<=> l1_struct_0(k9_waybel34(sK6)) ),
introduced(definition,[new_symbols(definition,[spl42_37])],[avatar_definition]) ).
fof(f1195,plain,
( ~ l1_struct_0(k9_waybel34(sK6))
| spl42_37 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1197,definition,
( spl42_38
<=> v3_struct_0(k9_waybel34(sK6)) ),
introduced(definition,[new_symbols(definition,[spl42_38])],[avatar_definition]) ).
fof(f1199,plain,
( v3_struct_0(k9_waybel34(sK6))
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1200,plain,
( ~ spl42_37
| spl42_38
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f1188,f1008,f1197,f1193]) ).
fof(f1217,plain,
( ~ l1_altcat_1(k9_waybel34(sK6))
| spl42_37 ),
inference(resolution,[],[f1195,f615]) ).
fof(f1252,plain,
( ~ l2_altcat_1(k9_waybel34(sK6))
| spl42_37 ),
inference(resolution,[],[f1217,f617]) ).
fof(f1253,plain,
( $false
| ~ spl42_21
| spl42_37 ),
inference(forward_subsumption_resolution,[],[f1252,f1043]) ).
fof(f1254,plain,
( ~ spl42_21
| spl42_37 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1271,plain,
( ! [X0] :
( ~ r2_hidden(sK7,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_4 ),
inference(resolution,[],[f1186,f785]) ).
fof(f1327,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_4 ),
inference(resolution,[],[f1271,f782]) ).
fof(f1361,plain,
( v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_3
| spl42_4 ),
inference(resolution,[],[f1327,f806]) ).
fof(f1368,plain,
( ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_3
| spl42_4
| spl42_17 ),
inference(forward_subsumption_resolution,[],[f1361,f1009]) ).
fof(f1369,plain,
( $false
| ~ spl42_3
| spl42_4
| spl42_17
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f1368,f1030]) ).
fof(f1370,plain,
( ~ spl42_3
| spl42_4
| spl42_17
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1384,definition,
( spl42_50
<=> m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6))) ),
introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition]) ).
fof(f1385,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ spl42_50 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1386,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_50 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1397,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(resolution,[],[f814,f778]) ).
fof(f1398,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1397,f406]) ).
fof(f1399,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1398,f405]) ).
fof(f1400,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1399,f404]) ).
fof(f1401,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1400,f403]) ).
fof(f1402,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(sK7)
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1401,f402]) ).
fof(f1403,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(X0)))
| v2_setfam_1(X0) )
| spl42_5 ),
inference(forward_subsumption_resolution,[],[f1402,f401]) ).
fof(f1432,plain,
( ! [X0] :
( ~ r2_hidden(sK7,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_50 ),
inference(resolution,[],[f1386,f785]) ).
fof(f1478,plain,
( ! [X0] :
( ~ m1_subset_1(sK7,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6)))) )
| spl42_50 ),
inference(resolution,[],[f1432,f782]) ).
fof(f1734,plain,
( v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_3
| spl42_50 ),
inference(resolution,[],[f1478,f806]) ).
fof(f1741,plain,
( ~ m1_subset_1(u1_struct_0(k9_waybel34(sK6)),k1_zfmisc_1(u1_struct_0(k5_waybel34(sK6))))
| ~ spl42_3
| spl42_17
| spl42_50 ),
inference(forward_subsumption_resolution,[],[f1734,f1009]) ).
fof(f1742,plain,
( $false
| ~ spl42_3
| spl42_17
| ~ spl42_19
| spl42_50 ),
inference(forward_subsumption_resolution,[],[f1741,f1030]) ).
fof(f1743,plain,
( ~ spl42_3
| spl42_17
| ~ spl42_19
| spl42_50 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
fof(f1780,plain,
( v2_setfam_1(sK6)
| spl42_5
| ~ spl42_50 ),
inference(resolution,[],[f1385,f1403]) ).
fof(f1791,plain,
( $false
| spl42_5
| ~ spl42_50 ),
inference(forward_subsumption_resolution,[],[f1780,f400]) ).
fof(f1792,plain,
( spl42_5
| ~ spl42_50 ),
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1815,plain,
( v2_setfam_1(sK6)
| ~ spl42_38 ),
inference(resolution,[],[f1199,f614]) ).
fof(f1818,plain,
( $false
| ~ spl42_38 ),
inference(forward_subsumption_resolution,[],[f1815,f400]) ).
fof(f1819,plain,
~ spl42_38,
inference(avatar_contradiction_clause,[],[f1818]) ).
fof(f1820,plain,
( ~ v1_orders_2(sK7)
| ~ v3_lattice3(sK7)
| m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4 ),
inference(resolution,[],[f810,f780]) ).
fof(f1827,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| spl42_3 ),
inference(resolution,[],[f805,f1003]) ).
fof(f1832,plain,
( ~ v3_lattice3(sK7)
| m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1820,f820]) ).
fof(f1833,plain,
( ~ spl42_50
| spl42_3 ),
inference(avatar_split_clause,[],[f1827,f804,f1384]) ).
fof(f1834,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v2_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1832,f815]) ).
fof(f1835,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v3_orders_2(sK7)
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1834,f406]) ).
fof(f1836,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v4_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1835,f405]) ).
fof(f1837,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v1_lattice3(sK7)
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1836,f404]) ).
fof(f1838,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ v2_lattice3(sK7)
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1837,f403]) ).
fof(f1839,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(sK7)
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1838,f402]) ).
fof(f1840,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| v2_setfam_1(sK6)
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1839,f401]) ).
fof(f1841,plain,
( m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f1840,f400]) ).
fof(f1842,plain,
( spl42_50
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f1841,f818,f813,f808,f1384]) ).
cnf(s2,plain,
( spl42_3
| spl42_4 ),
inference(sat_conversion,[],[f811]) ).
cnf(s3,plain,
( spl42_3
| spl42_5 ),
inference(sat_conversion,[],[f816]) ).
cnf(s4,plain,
( spl42_3
| spl42_6 ),
inference(sat_conversion,[],[f821]) ).
cnf(s5,plain,
( ~ spl42_3
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(sat_conversion,[],[f822]) ).
cnf(s10,plain,
( ~ spl42_3
| spl42_6
| spl42_17
| ~ spl42_19 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s11,plain,
( spl42_19
| ~ spl42_20
| ~ spl42_21
| ~ spl42_22 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s12,plain,
spl42_20,
inference(sat_conversion,[],[f1055]) ).
cnf(s17,plain,
( ~ spl42_20
| spl42_21 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s18,plain,
spl42_22,
inference(sat_conversion,[],[f1161]) ).
cnf(s21,plain,
( ~ spl42_17
| ~ spl42_37
| spl42_38 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s23,plain,
( ~ spl42_21
| spl42_37 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s31,plain,
( ~ spl42_3
| spl42_4
| spl42_17
| ~ spl42_19 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s56,plain,
( ~ spl42_3
| spl42_17
| ~ spl42_19
| spl42_50 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s60,plain,
( spl42_5
| ~ spl42_50 ),
inference(sat_conversion,[],[f1792]) ).
cnf(s64,plain,
~ spl42_38,
inference(sat_conversion,[],[f1819]) ).
cnf(s69,plain,
( spl42_3
| ~ spl42_50 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s70,plain,
( ~ spl42_4
| ~ spl42_5
| ~ spl42_6
| spl42_50 ),
inference(sat_conversion,[],[f1842]) ).
cnf(s72,plain,
( ~ spl42_17
| ~ spl42_37 ),
inference(rat,[],[s21,s64]) ).
cnf(s73,plain,
spl42_21,
inference(rat,[],[s17,s12]) ).
cnf(s74,plain,
spl42_37,
inference(rat,[],[s23,s73]) ).
cnf(s75,plain,
~ spl42_17,
inference(rat,[],[s72,s74]) ).
cnf(s76,plain,
spl42_19,
inference(rat,[],[s11,s18,s73,s12]) ).
cnf(s77,plain,
( ~ spl42_3
| spl42_6 ),
inference(rat,[],[s10,s76,s75]) ).
cnf(s79,plain,
spl42_3,
inference(rat,[],[s70,s2,s3,s4,s69]) ).
cnf(s80,plain,
spl42_50,
inference(rat,[],[s56,s76,s75,s79]) ).
cnf(s81,plain,
spl42_4,
inference(rat,[],[s31,s76,s75,s79]) ).
cnf(s82,plain,
spl42_6,
inference(rat,[],[s77,s79]) ).
cnf(s83,plain,
spl42_5,
inference(rat,[],[s60,s80]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s5,s82,s79,s83,s81]) ).
fof(f1843,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT374+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:08:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.30 % (3184643)Detected formulas, will run a generic FOF schedule.
% 3.64/1.30 % (3184650)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2119037613:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.64/1.30 % (3184648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3986787805:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.64/1.30 % (3184653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2497002087:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.64/1.30 % (3184651)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1415685050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.64/1.30 % (3184649)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1035966035:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.64/1.30 % (3184652)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=361153153:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.64/1.30 % (3184654)dis-21_1_sil=8000:lcm=predicate:random_seed=2455625970:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.64/1.30 % (3184651)Refutation not found, incomplete strategy
% 3.64/1.30 % (3184651)------------------------------
% 3.64/1.30 % (3184651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.30 % (3184651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.30 % (3184651)CaDiCaL version: 2.1.3
% 3.64/1.30 % (3184651)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.30 % (3184651)Time elapsed: 0.002 s
% 3.64/1.30 % (3184651)Peak memory usage: 88 MB
% 3.64/1.30 % (3184651)Instructions burned: 2 (million)
% 3.64/1.30 % (3184653)First to succeed.
% 3.64/1.30 % (3184653)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3184643"
% 3.64/1.30 % (3184652)Instruction limit reached!
% 3.64/1.30 % (3184652)------------------------------
% 3.64/1.30 % (3184652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.30 % (3184652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.30 % (3184652)CaDiCaL version: 2.1.3
% 3.64/1.30 % (3184652)Termination reason: Instruction limit
% 3.64/1.30 % (3184652)Termination phase: Saturation
% 3.64/1.30 % (3184652)Time elapsed: 0.058 s
% 3.64/1.30 % (3184652)Peak memory usage: 89 MB
% 3.64/1.30 % (3184652)Instructions burned: 121 (million)
% 3.64/1.30 % (3184654)Instruction limit reached!
% 3.64/1.30 % (3184654)------------------------------
% 3.64/1.30 % (3184654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.30 % (3184654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.30 % (3184654)CaDiCaL version: 2.1.3
% 3.64/1.30 % (3184654)Termination reason: Instruction limit
% 3.64/1.30 % (3184654)Termination phase: Saturation
% 3.64/1.30 % (3184654)Time elapsed: 0.066 s
% 3.64/1.30 % (3184654)Peak memory usage: 91 MB
% 3.64/1.30 % (3184654)Instructions burned: 131 (million)
% 3.64/1.30 % (3184662)lrs+10_1_sil=8000:sp=occurrence:random_seed=2828914174:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.64/1.30 % (3184663)lrs+10_1_sil=32000:urr=on:br=off:random_seed=992536985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.64/1.30 % (3184663)Refutation not found, incomplete strategy
% 3.64/1.30 % (3184663)------------------------------
% 3.64/1.30 % (3184663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.30 % (3184663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.30 % (3184663)CaDiCaL version: 2.1.3
% 3.64/1.30 % (3184663)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.30 % (3184663)Time elapsed: 0.009 s
% 3.64/1.30 % (3184663)Peak memory usage: 89 MB
% 3.64/1.30 % (3184663)Instructions burned: 13 (million)
% 3.64/1.30 % (3184651)------------------------------
% 3.64/1.30 % (3184651)------------------------------
% 3.64/1.30 % (3184653)Refutation found. Thanks to Tanya!
% 3.64/1.30 % SZS status Theorem for theBenchmark
% 3.64/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.39 % (3184653)------------------------------
% 3.64/1.39 % (3184653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.39 % (3184653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.39 % (3184653)CaDiCaL version: 2.1.3
% 3.64/1.39 % (3184653)Termination reason: Refutation
% 3.64/1.39 % (3184653)Time elapsed: 0.049 s
% 3.64/1.39 % (3184653)Peak memory usage: 90 MB
% 3.64/1.39 % (3184653)Instructions burned: 63 (million)
% 3.64/1.39 % (3184653)------------------------------
% 3.64/1.39 % (3184653)------------------------------
% 3.64/1.39 % (3184643)Success in time 0.455 s
% 3.64/1.39 % Vampire exiting
%------------------------------------------------------------------------------