TSTP Solution File: LAT374+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:35:35 EDT 2024
% Result : Theorem 13.81s 2.71s
% Output : CNFRefutation 13.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 193 ( 24 unt; 0 def)
% Number of atoms : 1036 ( 41 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1393 ( 550 ~; 576 |; 200 &)
% ( 19 <=>; 46 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 290 ( 0 sgn 170 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<=> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f24,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f29,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f37,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f50,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( l2_altcat_1(X1)
=> ( m1_altcat_2(X1,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))
& 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))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_altcat_2) ).
fof(f51,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( m1_altcat_2(X1,k5_waybel34(X0))
& v3_altcat_2(X1,k5_waybel34(X0))
& v6_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ( k9_waybel34(X0) = 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))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ! [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)) ) )
| k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0 ) ) ) ) ) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X2,u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel34) ).
fof(f65,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f67,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f68,axiom,
! [X0] :
( l1_altcat_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(f71,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(f96,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f116,axiom,
? [X0] : ~ v2_setfam_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_setfam_1) ).
fof(f131,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel34) ).
fof(f133,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f135,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f140,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ! [X1] :
( ( m1_altcat_2(X1,k5_waybel34(X0))
& v3_altcat_2(X1,k5_waybel34(X0))
& v6_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ( k9_waybel34(X0) = 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))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ! [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)) ) )
| k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0 ) ) ) ) ) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
=> m1_subset_1(X7,u1_struct_0(X1)) ) ) ) ) ),
inference(rectify,[],[f51]) ).
fof(f180,plain,
? [X0] :
( ? [X1] :
( ( m1_subset_1(X1,u1_struct_0(k9_waybel34(X0)))
<~> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_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)))
<~> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f180]) ).
fof(f206,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f207,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f206]) ).
fof(f214,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f215,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f214]) ).
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)
<=> ( 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))
& 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))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( k9_waybel34(X0) = X1
<=> ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( 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)) )
| ~ m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3)) )
| k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| X3 != X5
| X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f252,plain,
! [X0] :
( ! [X1] :
( ( k9_waybel34(X0) = X1
<=> ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ( 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)) )
| ~ m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3)) )
| k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| X3 != X5
| X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f251]) ).
fof(f265,plain,
! [X0] :
( ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f268,plain,
! [X0] :
( ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_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))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f292,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f291]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
<=> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_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)))
<=> ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) ) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f324]) ).
fof(f327,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f133]) ).
fof(f328,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f327]) ).
fof(f329,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f135]) ).
fof(f330,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f329]) ).
fof(f343,plain,
! [X2,X0,X3,X1] :
( sP4(X2,X0,X3,X1)
<=> ! [X4] :
( ! [X5] :
( ! [X6] :
( ( 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)) )
| ~ m1_subset_1(X6,k1_altcat_1(k5_waybel34(X0),X2,X3)) )
| k1_altcat_1(k5_waybel34(X0),X2,X3) = k1_xboole_0
| X3 != X5
| X2 != X4
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( ( k9_waybel34(X0) = X1
<=> ( ! [X2] :
( ! [X3] :
( sP4(X2,X0,X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f252,f343]) ).
fof(f347,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f348,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& ~ v2_setfam_1(X0) ),
inference(flattening,[],[f347]) ).
fof(f349,plain,
( ? [X0] :
( ? [X1] :
( ( ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& ( ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& ~ v2_setfam_1(X0) )
=> ( ? [X1] :
( ( ~ r2_hidden(u1_struct_0(X1),sK6)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(sK6))) )
& ( ( r2_hidden(u1_struct_0(X1),sK6)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(sK6))) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
& ~ v2_setfam_1(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X1] :
( ( ~ r2_hidden(u1_struct_0(X1),sK6)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k9_waybel34(sK6))) )
& ( ( r2_hidden(u1_struct_0(X1),sK6)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| m1_subset_1(X1,u1_struct_0(k9_waybel34(sK6))) )
& l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( ( ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v3_lattice3(sK7)
| ~ v1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& ( ( r2_hidden(u1_struct_0(sK7),sK6)
& v3_lattice3(sK7)
& v1_orders_2(sK7) )
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& l1_orders_2(sK7)
& v2_lattice3(sK7)
& v1_lattice3(sK7)
& v4_orders_2(sK7)
& v3_orders_2(sK7)
& v2_orders_2(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
( ( ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v3_lattice3(sK7)
| ~ v1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& ( ( r2_hidden(u1_struct_0(sK7),sK6)
& v3_lattice3(sK7)
& v1_orders_2(sK7) )
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) )
& l1_orders_2(sK7)
& v2_lattice3(sK7)
& v1_lattice3(sK7)
& v4_orders_2(sK7)
& v3_orders_2(sK7)
& v2_orders_2(sK7)
& ~ v2_setfam_1(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f348,f350,f349]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( m1_altcat_2(X1,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))
| ~ 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))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(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))
& 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))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_altcat_2(X1,X0) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(nnf_transformation,[],[f250]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( m1_altcat_2(X1,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))
| ~ 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))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(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))
& 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))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_altcat_2(X1,X0) ) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f358]) ).
fof(f367,plain,
! [X0] :
( ! [X1] :
( ( ( k9_waybel34(X0) = X1
| ? [X2] :
( ? [X3] :
( ~ sP4(X2,X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X1))
& m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( ! [X3] :
( sP4(X2,X0,X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f344]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( k9_waybel34(X0) = X1
| ? [X2] :
( ? [X3] :
( ~ sP4(X2,X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X1))
& m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X2] :
( ! [X3] :
( sP4(X2,X0,X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f367]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( k9_waybel34(X0) = X1
| ? [X2] :
( ? [X3] :
( ~ sP4(X2,X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
| ? [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( ! [X6] :
( sP4(X5,X0,X6,X1)
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(rectify,[],[f368]) ).
fof(f370,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ sP4(X2,X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(X2,u1_struct_0(k5_waybel34(X0))) )
=> ( ? [X3] :
( ~ sP4(sK11(X0,X1),X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
& m1_subset_1(sK11(X0,X1),u1_struct_0(k5_waybel34(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f371,plain,
! [X0,X1] :
( ? [X3] :
( ~ sP4(sK11(X0,X1),X0,X3,X1)
& m1_subset_1(X3,u1_struct_0(k5_waybel34(X0))) )
=> ( ~ sP4(sK11(X0,X1),X0,sK12(X0,X1),X1)
& m1_subset_1(sK12(X0,X1),u1_struct_0(k5_waybel34(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
! [X0,X1] :
( ? [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X4,u1_struct_0(k5_waybel34(X0))) )
=> ( ~ m1_subset_1(sK13(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK13(X0,X1),u1_struct_0(k5_waybel34(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ( ( k9_waybel34(X0) = X1
| ( ~ sP4(sK11(X0,X1),X0,sK12(X0,X1),X1)
& m1_subset_1(sK12(X0,X1),u1_struct_0(k5_waybel34(X0)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(k5_waybel34(X0))) )
| ( ~ m1_subset_1(sK13(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK13(X0,X1),u1_struct_0(k5_waybel34(X0))) ) )
& ( ( ! [X5] :
( ! [X6] :
( sP4(X5,X0,X6,X1)
| ~ m1_subset_1(X6,u1_struct_0(k5_waybel34(X0))) )
| ~ m1_subset_1(X5,u1_struct_0(k5_waybel34(X0))) )
& ! [X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0))) ) )
| k9_waybel34(X0) != X1 ) )
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| v2_setfam_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f369,f372,f371,f370]) ).
fof(f413,plain,
( ? [X0] : ~ v2_setfam_1(X0)
=> ~ v2_setfam_1(sK33) ),
introduced(choice_axiom,[]) ).
fof(f414,plain,
~ v2_setfam_1(sK33),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f116,f413]) ).
fof(f433,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1) )
& ( ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(nnf_transformation,[],[f325]) ).
fof(f434,plain,
! [X0] :
( ! [X1] :
( ( ( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1) )
& ( ( r2_hidden(u1_struct_0(X1),X0)
& v3_lattice3(X1)
& v1_orders_2(X1) )
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| v2_setfam_1(X0) ),
inference(flattening,[],[f433]) ).
fof(f435,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(f436,plain,
~ v2_setfam_1(sK6),
inference(cnf_transformation,[],[f351]) ).
fof(f437,plain,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f438,plain,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f439,plain,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f440,plain,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f441,plain,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f442,plain,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f351]) ).
fof(f443,plain,
( v1_orders_2(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f351]) ).
fof(f444,plain,
( v3_lattice3(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f351]) ).
fof(f445,plain,
( r2_hidden(u1_struct_0(sK7),sK6)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f351]) ).
fof(f446,plain,
( ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v3_lattice3(sK7)
| ~ v1_orders_2(sK7)
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(cnf_transformation,[],[f351]) ).
fof(f506,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f519,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f544,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f597,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,[],[f359]) ).
fof(f611,plain,
! [X0,X1,X7] :
( m1_subset_1(X7,u1_struct_0(X1))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| k9_waybel34(X0) != X1
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ v6_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f642,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f646,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f647,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f648,plain,
! [X0] :
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f649,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f650,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f651,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f653,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f654,plain,
! [X0,X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f679,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f777,plain,
~ v2_setfam_1(sK33),
inference(cnf_transformation,[],[f414]) ).
fof(f813,plain,
! [X0,X1] :
( v1_orders_2(X1)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f814,plain,
! [X0,X1] :
( v3_lattice3(X1)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f815,plain,
! [X0,X1] :
( r2_hidden(u1_struct_0(X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f816,plain,
! [X0,X1] :
( m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f818,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f328]) ).
fof(f820,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f435]) ).
fof(f821,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f330]) ).
fof(f831,plain,
! [X0,X7] :
( m1_subset_1(X7,u1_struct_0(k9_waybel34(X0)))
| ~ m1_subset_1(X7,u1_struct_0(k5_waybel34(X0)))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ v6_altcat_1(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(equality_resolution,[],[f611]) ).
cnf(c_49,negated_conjecture,
( ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v3_lattice3(sK7)
| ~ v1_orders_2(sK7) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_50,negated_conjecture,
( m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| r2_hidden(u1_struct_0(sK7),sK6) ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_51,negated_conjecture,
( m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| v3_lattice3(sK7) ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_52,negated_conjecture,
( m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| v1_orders_2(sK7) ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_53,negated_conjecture,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f442]) ).
cnf(c_54,negated_conjecture,
v2_lattice3(sK7),
inference(cnf_transformation,[],[f441]) ).
cnf(c_55,negated_conjecture,
v1_lattice3(sK7),
inference(cnf_transformation,[],[f440]) ).
cnf(c_56,negated_conjecture,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f439]) ).
cnf(c_57,negated_conjecture,
v3_orders_2(sK7),
inference(cnf_transformation,[],[f438]) ).
cnf(c_58,negated_conjecture,
v2_orders_2(sK7),
inference(cnf_transformation,[],[f437]) ).
cnf(c_59,negated_conjecture,
~ v2_setfam_1(sK6),
inference(cnf_transformation,[],[f436]) ).
cnf(c_108,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f506]) ).
cnf(c_113,plain,
( ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_136,plain,
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_174,plain,
( ~ m1_altcat_2(X0,X1)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_192,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v6_altcat_1(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v3_struct_0(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(cnf_transformation,[],[f831]) ).
cnf(c_210,plain,
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f642]) ).
cnf(c_220,plain,
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f650]) ).
cnf(c_221,plain,
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f649]) ).
cnf(c_222,plain,
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f648]) ).
cnf(c_223,plain,
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f647]) ).
cnf(c_224,plain,
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f646]) ).
cnf(c_225,plain,
( ~ l1_altcat_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f651]) ).
cnf(c_227,plain,
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f653]) ).
cnf(c_228,plain,
( ~ m1_altcat_2(X0,X1)
| ~ l2_altcat_1(X1)
| l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f654]) ).
cnf(c_253,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f679]) ).
cnf(c_351,plain,
~ v2_setfam_1(sK33),
inference(cnf_transformation,[],[f777]) ).
cnf(c_387,plain,
( ~ r2_hidden(u1_struct_0(X0),X1)
| ~ v3_lattice3(X0)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(cnf_transformation,[],[f816]) ).
cnf(c_388,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| r2_hidden(u1_struct_0(X0),X1)
| v2_setfam_1(X1) ),
inference(cnf_transformation,[],[f815]) ).
cnf(c_389,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_lattice3(X0)
| v2_setfam_1(X1) ),
inference(cnf_transformation,[],[f814]) ).
cnf(c_390,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_orders_2(X0)
| v2_setfam_1(X1) ),
inference(cnf_transformation,[],[f813]) ).
cnf(c_392,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f818]) ).
cnf(c_393,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f820]) ).
cnf(c_395,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f821]) ).
cnf(c_617,plain,
( ~ m1_altcat_2(X0,X1)
| ~ l2_altcat_1(X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_174,c_228,c_174]) ).
cnf(c_634,plain,
( ~ l1_orders_2(X0)
| ~ v1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ r2_hidden(u1_struct_0(X0),X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_108,c_113,c_387]) ).
cnf(c_635,plain,
( ~ r2_hidden(u1_struct_0(X0),X1)
| ~ v3_lattice3(X0)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(renaming,[status(thm)],[c_634]) ).
cnf(c_642,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_393]) ).
cnf(c_650,plain,
( v3_lattice3(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_651,plain,
( m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| v3_lattice3(sK7) ),
inference(renaming,[status(thm)],[c_650]) ).
cnf(c_664,plain,
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_227]) ).
cnf(c_794,plain,
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_932,plain,
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_220]) ).
cnf(c_934,plain,
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_221]) ).
cnf(c_936,plain,
( v6_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_222]) ).
cnf(c_938,plain,
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_223]) ).
cnf(c_940,plain,
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_224]) ).
cnf(c_952,plain,
( ~ l1_altcat_1(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_225]) ).
cnf(c_1527,plain,
( ~ r2_hidden(X0,X1)
| ~ r1_tarski(X1,X2)
| m1_subset_1(X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_395,c_642]) ).
cnf(c_1902,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v3_struct_0(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_192,c_936]) ).
cnf(c_1911,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v3_struct_0(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1902,c_938]) ).
cnf(c_2015,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1911,c_940]) ).
cnf(c_2123,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2015,c_932]) ).
cnf(c_2131,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(X1)))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(X1)))
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2123,c_934]) ).
cnf(c_3794,plain,
( X0 != X1
| ~ l2_altcat_1(X0)
| l1_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_664,c_952]) ).
cnf(c_3795,plain,
( ~ l2_altcat_1(X0)
| l1_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_3794]) ).
cnf(c_7156,plain,
( X0 != sK6
| ~ v3_struct_0(k9_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_940]) ).
cnf(c_7157,plain,
~ v3_struct_0(k9_waybel34(sK6)),
inference(unflattening,[status(thm)],[c_7156]) ).
cnf(c_7176,plain,
( X0 != sK6
| m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_932]) ).
cnf(c_7177,plain,
m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6)),
inference(unflattening,[status(thm)],[c_7176]) ).
cnf(c_7289,plain,
( X0 != sK6
| ~ v1_xboole_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_794]) ).
cnf(c_7290,plain,
~ v1_xboole_0(sK6),
inference(unflattening,[status(thm)],[c_7289]) ).
cnf(c_7315,plain,
( X0 != sK6
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| m1_subset_1(X1,u1_struct_0(k9_waybel34(X0))) ),
inference(resolution_lifted,[status(thm)],[c_59,c_2131]) ).
cnf(c_7316,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6)))
| m1_subset_1(X0,u1_struct_0(k9_waybel34(sK6))) ),
inference(unflattening,[status(thm)],[c_7315]) ).
cnf(c_7317,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_7316]) ).
cnf(c_7336,plain,
( X0 != sK6
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ),
inference(resolution_lifted,[status(thm)],[c_59,c_635]) ).
cnf(c_7337,plain,
( ~ r2_hidden(u1_struct_0(X0),sK6)
| ~ v3_lattice3(X0)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6))) ),
inference(unflattening,[status(thm)],[c_7336]) ).
cnf(c_7338,plain,
( ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v3_lattice3(sK7)
| ~ v1_orders_2(sK7)
| ~ l1_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK7)
| m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_7337]) ).
cnf(c_7366,plain,
( X0 != sK6
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v1_orders_2(X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_390]) ).
cnf(c_7367,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_orders_2(X0) ),
inference(unflattening,[status(thm)],[c_7366]) ).
cnf(c_7368,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK7)
| v1_orders_2(sK7) ),
inference(instantiation,[status(thm)],[c_7367]) ).
cnf(c_7393,plain,
( X0 != sK6
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_lattice3(X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_389]) ).
cnf(c_7394,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_lattice3(X0) ),
inference(unflattening,[status(thm)],[c_7393]) ).
cnf(c_7420,plain,
( X0 != sK6
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X0)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| r2_hidden(u1_struct_0(X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_388]) ).
cnf(c_7421,plain,
( ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| r2_hidden(u1_struct_0(X0),sK6) ),
inference(unflattening,[status(thm)],[c_7420]) ).
cnf(c_7422,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK7)
| r2_hidden(u1_struct_0(sK7),sK6) ),
inference(instantiation,[status(thm)],[c_7421]) ).
cnf(c_7741,plain,
( X0 != sK33
| ~ r2_hidden(u1_struct_0(X1),X0)
| ~ v3_lattice3(X1)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(X0))) ),
inference(resolution_lifted,[status(thm)],[c_635,c_351]) ).
cnf(c_7742,plain,
( ~ r2_hidden(u1_struct_0(X0),sK33)
| ~ v3_lattice3(X0)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK33))) ),
inference(unflattening,[status(thm)],[c_7741]) ).
cnf(c_9127,plain,
( X0 != sK7
| ~ r2_hidden(u1_struct_0(X0),sK33)
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK33)))
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))) ),
inference(resolution_lifted,[status(thm)],[c_651,c_7742]) ).
cnf(c_9128,plain,
( ~ r2_hidden(u1_struct_0(sK7),sK33)
| ~ v1_orders_2(sK7)
| ~ l1_orders_2(sK7)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK7)
| m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK33))) ),
inference(unflattening,[status(thm)],[c_9127]) ).
cnf(c_9129,plain,
m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6))),
inference(global_subsumption_just,[status(thm)],[c_9128,c_58,c_57,c_56,c_55,c_53,c_52,c_51,c_50,c_7317,c_7338]) ).
cnf(c_9152,plain,
( X0 != sK7
| ~ m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6)))
| ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_orders_2(sK7) ),
inference(resolution_lifted,[status(thm)],[c_49,c_7394]) ).
cnf(c_9153,plain,
( ~ m1_subset_1(sK7,u1_struct_0(k9_waybel34(sK6)))
| ~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6)))
| ~ r2_hidden(u1_struct_0(sK7),sK6)
| ~ v1_orders_2(sK7)
| ~ l1_orders_2(sK7)
| ~ v2_lattice3(sK7)
| ~ v1_lattice3(sK7)
| ~ v4_orders_2(sK7)
| ~ v3_orders_2(sK7)
| ~ v2_orders_2(sK7) ),
inference(unflattening,[status(thm)],[c_9152]) ).
cnf(c_9154,plain,
~ m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6))),
inference(global_subsumption_just,[status(thm)],[c_9153,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_7317,c_7338,c_7368,c_7422,c_9153]) ).
cnf(c_29888,plain,
( ~ v1_xboole_0(u1_struct_0(k9_waybel34(sK6)))
| ~ l1_struct_0(k9_waybel34(sK6))
| v3_struct_0(k9_waybel34(sK6)) ),
inference(instantiation,[status(thm)],[c_253]) ).
cnf(c_29940,plain,
( l2_altcat_1(k5_waybel34(sK6))
| v1_xboole_0(sK6) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_30008,plain,
( ~ r1_tarski(X0,u1_struct_0(k5_waybel34(sK6)))
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,u1_struct_0(k5_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_1527]) ).
cnf(c_30196,plain,
( ~ l2_altcat_1(k9_waybel34(sK6))
| l1_struct_0(k9_waybel34(sK6)) ),
inference(instantiation,[status(thm)],[c_3795]) ).
cnf(c_30202,plain,
( ~ m1_altcat_2(k9_waybel34(sK6),X0)
| ~ l2_altcat_1(X0)
| l2_altcat_1(k9_waybel34(sK6)) ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_31019,plain,
( ~ m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6))
| ~ l2_altcat_1(k5_waybel34(sK6))
| l2_altcat_1(k9_waybel34(sK6)) ),
inference(instantiation,[status(thm)],[c_30202]) ).
cnf(c_33800,plain,
( r2_hidden(sK7,u1_struct_0(k9_waybel34(sK6)))
| v1_xboole_0(u1_struct_0(k9_waybel34(sK6))) ),
inference(superposition,[status(thm)],[c_9129,c_392]) ).
cnf(c_34928,plain,
( ~ m1_altcat_2(k9_waybel34(sK6),k5_waybel34(sK6))
| ~ l2_altcat_1(k5_waybel34(sK6))
| r1_tarski(u1_struct_0(k9_waybel34(sK6)),u1_struct_0(k5_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_617]) ).
cnf(c_41036,plain,
( ~ r1_tarski(u1_struct_0(k9_waybel34(sK6)),u1_struct_0(k5_waybel34(sK6)))
| ~ r2_hidden(X0,u1_struct_0(k9_waybel34(sK6)))
| m1_subset_1(X0,u1_struct_0(k5_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_30008]) ).
cnf(c_41037,plain,
( ~ r1_tarski(u1_struct_0(k9_waybel34(sK6)),u1_struct_0(k5_waybel34(sK6)))
| ~ r2_hidden(sK7,u1_struct_0(k9_waybel34(sK6)))
| m1_subset_1(sK7,u1_struct_0(k5_waybel34(sK6))) ),
inference(instantiation,[status(thm)],[c_41036]) ).
cnf(c_41038,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_41037,c_34928,c_33800,c_31019,c_30196,c_29940,c_29888,c_9154,c_7290,c_7177,c_7157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 18:02:56 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.81/2.71 % SZS status Started for theBenchmark.p
% 13.81/2.71 % SZS status Theorem for theBenchmark.p
% 13.81/2.71
% 13.81/2.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 13.81/2.71
% 13.81/2.71 ------ iProver source info
% 13.81/2.71
% 13.81/2.71 git: date: 2024-05-02 19:28:25 +0000
% 13.81/2.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 13.81/2.71 git: non_committed_changes: false
% 13.81/2.71
% 13.81/2.71 ------ Parsing...
% 13.81/2.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 13.81/2.71
% 13.81/2.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 48 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 13.81/2.71
% 13.81/2.71 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.81/2.71
% 13.81/2.71 ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 13.81/2.71 ------ Proving...
% 13.81/2.71 ------ Problem Properties
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71 clauses 289
% 13.81/2.71 conjectures 6
% 13.81/2.71 EPR 98
% 13.81/2.71 Horn 228
% 13.81/2.71 unary 104
% 13.81/2.71 binary 60
% 13.81/2.71 lits 879
% 13.81/2.71 lits eq 101
% 13.81/2.71 fd_pure 0
% 13.81/2.71 fd_pseudo 0
% 13.81/2.71 fd_cond 1
% 13.81/2.71 fd_pseudo_cond 6
% 13.81/2.71 AC symbols 0
% 13.81/2.71
% 13.81/2.71 ------ Input Options Time Limit: Unbounded
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71 ------
% 13.81/2.71 Current options:
% 13.81/2.71 ------
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71 ------ Proving...
% 13.81/2.71
% 13.81/2.71
% 13.81/2.71 % SZS status Theorem for theBenchmark.p
% 13.81/2.71
% 13.81/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.81/2.71
% 13.81/2.71
%------------------------------------------------------------------------------