%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU410+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:48:47 PM UTC 2026
% Result : Theorem 66.67s 11.67s
% Output : Refutation 75.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 33
% Syntax : Number of formulae : 496 ( 63 unt; 14 def)
% Number of atoms : 3194 ( 172 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 4968 (2270 ~;2372 |; 230 &)
% ( 32 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 15 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 650 ( 0 sgn 624 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f343,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f447,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f3003,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f3194,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_orders_2(X0,X1,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_orders_2) ).
fof(f3195,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f3343,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f3597,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f3682,axiom,
! [X0,X1,X2] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_lattice3) ).
fof(f3683,axiom,
! [X0,X1,X2] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k13_lattice3) ).
fof(f3776,axiom,
! [X0] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4) )
=> r1_orders_2(X0,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_yellow_0) ).
fof(f3933,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3) )
=> r2_hidden(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f3951,axiom,
! [X0] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_waybel_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k13_lattice3(X0,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel_0) ).
fof(f4219,axiom,
! [X0] :
( ( v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r1_orders_2(X0,X1,X2)
=> r1_orders_2(X0,k13_lattice3(X0,X1,X3),k13_lattice3(X0,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_waybel_1) ).
fof(f4351,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k13_lattice3(X0,X1,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_5) ).
fof(f4353,axiom,
! [X0] :
( ( v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r1_orders_2(X0,k13_lattice3(X0,X1,X2),X3)
=> r1_orders_2(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow_5) ).
fof(f4452,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5
& r1_latsum_1(X0,X1)
& v3_orders_2(X0)
& v3_orders_2(X1) )
=> ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_latsum_1) ).
fof(f4456,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5 )
=> k13_lattice3(X0,X2,X3) = k13_lattice3(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsum_1) ).
fof(f4457,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5 )
=> k13_lattice3(X0,X2,X3) = k13_lattice3(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4456]) ).
fof(f4588,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_lattice3(X0,X2,X3) != k13_lattice3(X1,X4,X5)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4457]) ).
fof(f4589,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_lattice3(X0,X2,X3) != k13_lattice3(X1,X4,X5)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f4588]) ).
fof(f4680,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f447]) ).
fof(f4681,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f4680]) ).
fof(f4693,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f4705,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3194]) ).
fof(f4706,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4705]) ).
fof(f4719,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4353]) ).
fof(f4720,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4719]) ).
fof(f4721,plain,
! [X0] :
( ! [X1] :
( k13_lattice3(X0,X1,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4351]) ).
fof(f4722,plain,
! [X0] :
( ! [X1] :
( k13_lattice3(X0,X1,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4721]) ).
fof(f4723,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X3),k13_lattice3(X0,X2,X3))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4219]) ).
fof(f4724,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X3),k13_lattice3(X0,X2,X3))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4723]) ).
fof(f4733,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3776]) ).
fof(f4734,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4733]) ).
fof(f4739,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f3683]) ).
fof(f4740,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f4739]) ).
fof(f4741,plain,
! [X0,X1,X2] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f3682]) ).
fof(f4742,plain,
! [X0,X1,X2] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f4741]) ).
fof(f4751,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3597]) ).
fof(f4752,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4751]) ).
fof(f4769,plain,
! [X0] :
( ! [X1] :
( ( v1_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3951]) ).
fof(f4770,plain,
! [X0] :
( ! [X1] :
( ( v1_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4769]) ).
fof(f4817,plain,
! [X0] :
( ! [X1] :
( ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3933]) ).
fof(f4818,plain,
! [X0] :
( ! [X1] :
( ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4817]) ).
fof(f4829,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f4452]) ).
fof(f4830,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f4829]) ).
fof(f5828,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3195]) ).
fof(f5829,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f5828]) ).
fof(f7415,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3343]) ).
fof(f7419,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3003]) ).
fof(f7420,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f7419]) ).
fof(f7865,plain,
( k13_lattice3(sK82,sK84,sK85) != k13_lattice3(sK83,sK86,sK87)
& v1_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK83)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK83)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),k1_zfmisc_1(u1_struct_0(sK83)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK82)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),k1_zfmisc_1(u1_struct_0(sK82)))
& r1_latsum_1(sK82,sK83)
& sK84 = sK86
& sK85 = sK87
& m1_subset_1(sK87,u1_struct_0(sK83))
& m1_subset_1(sK86,u1_struct_0(sK83))
& m1_subset_1(sK85,u1_struct_0(sK82))
& m1_subset_1(sK84,u1_struct_0(sK82))
& ~ v3_struct_0(sK83)
& v2_orders_2(sK83)
& v3_orders_2(sK83)
& v4_orders_2(sK83)
& v1_lattice3(sK83)
& l1_orders_2(sK83)
& ~ v3_struct_0(sK82)
& v2_orders_2(sK82)
& v3_orders_2(sK82)
& v4_orders_2(sK82)
& v1_lattice3(sK82)
& l1_orders_2(sK82) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86,sK87]),skolemize(X0,sK82),skolemize(X1,sK83),skolemize(X2,sK84),skolemize(X3,sK85),skolemize(X4,sK86),skolemize(X5,sK87)],[f4589]) ).
fof(f7882,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f7883,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f7882]) ).
fof(f7884,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f7883]) ).
fof(f7885,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK104(X0,X1,X2),X0)
| ~ r2_hidden(sK104(X0,X1,X2),X1)
| ~ r2_hidden(sK104(X0,X1,X2),X2) )
& ( ( r2_hidden(sK104(X0,X1,X2),X0)
& r2_hidden(sK104(X0,X1,X2),X1) )
| r2_hidden(sK104(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(X3,sK104(X0,X1,X2))],[f7884]) ).
fof(f7894,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f4693]) ).
fof(f7910,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4734]) ).
fof(f7911,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f7910]) ).
fof(f7912,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f7911]) ).
fof(f7913,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ( ~ r1_orders_2(X0,X3,sK119(X0,X1,X2,X3))
& r1_orders_2(X0,X1,sK119(X0,X1,X2,X3))
& r1_orders_2(X0,X2,sK119(X0,X1,X2,X3))
& m1_subset_1(sK119(X0,X1,X2,X3),u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(X4,sK119(X0,X1,X2,X3))],[f7912]) ).
fof(f7935,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k13_lattice3(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_waybel_0(X1,X0) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4770]) ).
fof(f7936,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k13_lattice3(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v1_waybel_0(X1,X0) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f7935]) ).
fof(f7937,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ( ~ r2_hidden(k13_lattice3(X0,sK131(X0,X1),sK132(X0,X1)),X1)
& r2_hidden(sK131(X0,X1),X1)
& r2_hidden(sK132(X0,X1),X1)
& m1_subset_1(sK132(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK131(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v1_waybel_0(X1,X0) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK131,sK132]),skolemize(X2,sK131(X0,X1)),skolemize(X3,sK132(X0,X1))],[f7936]) ).
fof(f7966,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4818]) ).
fof(f7967,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f7966]) ).
fof(f7968,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ( ~ r2_hidden(sK150(X0,X1),X1)
& r2_hidden(sK149(X0,X1),X1)
& r1_orders_2(X0,sK149(X0,X1),sK150(X0,X1))
& m1_subset_1(sK150(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK149(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK149,sK150]),skolemize(X2,sK149(X0,X1)),skolemize(X3,sK150(X0,X1))],[f7967]) ).
fof(f7970,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(X1,X4,X5) )
& ( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X2,X3) ) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f4830]) ).
fof(f8961,plain,
l1_orders_2(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8962,plain,
v1_lattice3(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8963,plain,
v4_orders_2(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8964,plain,
v3_orders_2(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8965,plain,
v2_orders_2(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8966,plain,
~ v3_struct_0(sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8967,plain,
l1_orders_2(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8968,plain,
v1_lattice3(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8969,plain,
v4_orders_2(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8970,plain,
v3_orders_2(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8971,plain,
v2_orders_2(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8972,plain,
~ v3_struct_0(sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8973,plain,
m1_subset_1(sK84,u1_struct_0(sK82)),
inference(cnf_transformation,[],[f7865]) ).
fof(f8974,plain,
m1_subset_1(sK85,u1_struct_0(sK82)),
inference(cnf_transformation,[],[f7865]) ).
fof(f8975,plain,
m1_subset_1(sK86,u1_struct_0(sK83)),
inference(cnf_transformation,[],[f7865]) ).
fof(f8976,plain,
m1_subset_1(sK87,u1_struct_0(sK83)),
inference(cnf_transformation,[],[f7865]) ).
fof(f8977,plain,
sK85 = sK87,
inference(cnf_transformation,[],[f7865]) ).
fof(f8978,plain,
sK84 = sK86,
inference(cnf_transformation,[],[f7865]) ).
fof(f8979,plain,
r1_latsum_1(sK82,sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8980,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),k1_zfmisc_1(u1_struct_0(sK82))),
inference(cnf_transformation,[],[f7865]) ).
fof(f8981,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK82),
inference(cnf_transformation,[],[f7865]) ).
fof(f8982,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),k1_zfmisc_1(u1_struct_0(sK83))),
inference(cnf_transformation,[],[f7865]) ).
fof(f8983,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8984,plain,
v1_waybel_0(k3_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)),sK83),
inference(cnf_transformation,[],[f7865]) ).
fof(f8985,plain,
k13_lattice3(sK82,sK84,sK85) != k13_lattice3(sK83,sK86,sK87),
inference(cnf_transformation,[],[f7865]) ).
fof(f9082,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f9111,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f7885]) ).
fof(f9116,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f4681]) ).
fof(f9134,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7894]) ).
fof(f9161,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_orders_2(X0,X1,X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4706]) ).
fof(f9168,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X3)
| r1_orders_2(X0,X1,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4720]) ).
fof(f9169,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k13_lattice3(X0,X1,X1) = X1
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4722]) ).
fof(f9170,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X3),k13_lattice3(X0,X2,X3))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4724]) ).
fof(f9183,plain,
! [X2,X3,X0,X1,X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7913]) ).
fof(f9184,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,X2,X3)
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7913]) ).
fof(f9185,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,X1,X3)
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7913]) ).
fof(f9197,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1) ),
inference(cnf_transformation,[],[f4740]) ).
fof(f9198,plain,
! [X2,X0,X1] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f4742]) ).
fof(f9225,plain,
! [X0] :
( ~ v1_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f4752]) ).
fof(f9261,plain,
! [X0,X1,X4,X5] :
( r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7937]) ).
fof(f9354,plain,
! [X0,X1,X4,X5] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v13_waybel_0(X1,X0)
| r2_hidden(X5,X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7968]) ).
fof(f9371,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7970]) ).
fof(f9372,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f7970]) ).
fof(f10794,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X2,X1)
| ~ r1_orders_2(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f5829]) ).
fof(f13119,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7415]) ).
fof(f13125,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7420]) ).
fof(f13552,plain,
k13_lattice3(sK83,sK86,sK87) != k13_lattice3(sK82,sK86,sK87),
inference(definition_unfolding,[],[f8985,f8978,f8977]) ).
fof(f13553,plain,
v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83),
inference(definition_unfolding,[],[f8984,f9082]) ).
fof(f13554,plain,
v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83),
inference(definition_unfolding,[],[f8983,f9082]) ).
fof(f13555,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83))),
inference(definition_unfolding,[],[f8982,f9082]) ).
fof(f13556,plain,
v13_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK82),
inference(definition_unfolding,[],[f8981,f9082]) ).
fof(f13557,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK82))),
inference(definition_unfolding,[],[f8980,f9082]) ).
fof(f13558,plain,
m1_subset_1(sK87,u1_struct_0(sK82)),
inference(definition_unfolding,[],[f8974,f8977]) ).
fof(f13559,plain,
m1_subset_1(sK86,u1_struct_0(sK82)),
inference(definition_unfolding,[],[f8973,f8978]) ).
fof(f13678,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) != X2 ),
inference(definition_unfolding,[],[f9111,f9082]) ).
fof(f14297,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f13678]) ).
fof(f14302,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X1,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f9185]) ).
fof(f14303,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X2,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f9184]) ).
fof(f14304,plain,
! [X2,X0,X1,X5] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X2),X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f9183]) ).
fof(f14310,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X4,X3)
| ~ r1_orders_2(X1,X4,X5)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f9372]) ).
fof(f14311,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(X1,X4,X5)
| r1_orders_2(X0,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f14310]) ).
fof(f14312,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X4,X3)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f9371]) ).
fof(f14313,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(X0,X4,X5)
| r1_orders_2(X1,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f14312]) ).
fof(f15007,plain,
! [X2,X0,X1,X5] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X2),X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f14304,f9198]) ).
fof(f15008,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X2,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f14303,f9198]) ).
fof(f15009,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X1,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f14302,f9198]) ).
fof(f15209,plain,
! [X0] :
( ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK87) = k13_lattice3(sK82,sK87,X0) ),
inference(resolution,[],[f9197,f13558]) ).
fof(f15210,plain,
! [X0] :
( ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK86) = k13_lattice3(sK82,sK86,X0) ),
inference(resolution,[],[f9197,f13559]) ).
fof(f15211,plain,
! [X0] :
( ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK86) = k13_lattice3(sK82,sK86,X0) ),
inference(forward_subsumption_resolution,[],[f15210,f8963]) ).
fof(f15212,plain,
! [X0] :
( ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK87) = k13_lattice3(sK82,sK87,X0) ),
inference(forward_subsumption_resolution,[],[f15209,f8963]) ).
fof(f15215,plain,
! [X0] :
( ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK86) = k13_lattice3(sK82,sK86,X0) ),
inference(forward_subsumption_resolution,[],[f15211,f8962]) ).
fof(f15216,plain,
! [X0] :
( ~ l1_orders_2(sK82)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK87) = k13_lattice3(sK82,sK87,X0) ),
inference(forward_subsumption_resolution,[],[f15212,f8962]) ).
fof(f15219,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK86) = k13_lattice3(sK82,sK86,X0) ),
inference(forward_subsumption_resolution,[],[f15215,f8961]) ).
fof(f15220,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK82,X0,sK87) = k13_lattice3(sK82,sK87,X0) ),
inference(forward_subsumption_resolution,[],[f15216,f8961]) ).
fof(f15223,plain,
( sK87 = k13_lattice3(sK83,sK87,sK87)
| ~ v2_orders_2(sK83)
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(resolution,[],[f9169,f8976]) ).
fof(f15224,plain,
( sK86 = k13_lattice3(sK83,sK86,sK86)
| ~ v2_orders_2(sK83)
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(resolution,[],[f9169,f8975]) ).
fof(f15225,plain,
( sK87 = k13_lattice3(sK82,sK87,sK87)
| ~ v2_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(resolution,[],[f9169,f13558]) ).
fof(f15226,plain,
( sK86 = k13_lattice3(sK82,sK86,sK86)
| ~ v2_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(resolution,[],[f9169,f13559]) ).
fof(f15227,plain,
( sK86 = k13_lattice3(sK82,sK86,sK86)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15226,f8965]) ).
fof(f15228,plain,
( sK87 = k13_lattice3(sK82,sK87,sK87)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15225,f8965]) ).
fof(f15229,plain,
( sK86 = k13_lattice3(sK83,sK86,sK86)
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15224,f8971]) ).
fof(f15230,plain,
( sK87 = k13_lattice3(sK83,sK87,sK87)
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15223,f8971]) ).
fof(f15231,plain,
( sK86 = k13_lattice3(sK82,sK86,sK86)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15227,f8963]) ).
fof(f15232,plain,
( sK87 = k13_lattice3(sK82,sK87,sK87)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15228,f8963]) ).
fof(f15233,plain,
( sK86 = k13_lattice3(sK83,sK86,sK86)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15229,f8969]) ).
fof(f15234,plain,
( sK87 = k13_lattice3(sK83,sK87,sK87)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15230,f8969]) ).
fof(f15235,plain,
( sK86 = k13_lattice3(sK82,sK86,sK86)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15231,f8962]) ).
fof(f15236,plain,
( sK87 = k13_lattice3(sK82,sK87,sK87)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15232,f8962]) ).
fof(f15237,plain,
( sK86 = k13_lattice3(sK83,sK86,sK86)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15233,f8968]) ).
fof(f15238,plain,
( sK87 = k13_lattice3(sK83,sK87,sK87)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f15234,f8968]) ).
fof(f15239,plain,
sK86 = k13_lattice3(sK82,sK86,sK86),
inference(forward_subsumption_resolution,[],[f15235,f8961]) ).
fof(f15240,plain,
sK87 = k13_lattice3(sK82,sK87,sK87),
inference(forward_subsumption_resolution,[],[f15236,f8961]) ).
fof(f15241,plain,
sK86 = k13_lattice3(sK83,sK86,sK86),
inference(forward_subsumption_resolution,[],[f15237,f8967]) ).
fof(f15242,plain,
sK87 = k13_lattice3(sK83,sK87,sK87),
inference(forward_subsumption_resolution,[],[f15238,f8967]) ).
fof(f15244,plain,
k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK82,sK87,sK86),
inference(resolution,[],[f15220,f13559]) ).
fof(f15268,plain,
( r1_orders_2(sK82,sK87,sK87)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(superposition,[],[f15008,f15240]) ).
fof(f15269,plain,
( r1_orders_2(sK82,sK87,sK87)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(duplicate_literal_removal,[],[f15268]) ).
fof(f15273,plain,
( r1_orders_2(sK82,sK87,sK87)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15269,f13558]) ).
fof(f15277,plain,
( r1_orders_2(sK82,sK87,sK87)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15273,f8963]) ).
fof(f15281,plain,
( r1_orders_2(sK82,sK87,sK87)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15277,f8962]) ).
fof(f15285,plain,
r1_orders_2(sK82,sK87,sK87),
inference(forward_subsumption_resolution,[],[f15281,f8961]) ).
fof(f15301,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(superposition,[],[f9170,f15244]) ).
fof(f15307,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(superposition,[],[f9170,f15244]) ).
fof(f15326,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15307,f13559]) ).
fof(f15328,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15301,f13559]) ).
fof(f15334,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15326,f13558]) ).
fof(f15336,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15328,f13558]) ).
fof(f15342,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15334,f8964]) ).
fof(f15344,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15336,f8964]) ).
fof(f15350,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15342,f8963]) ).
fof(f15352,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15344,f8963]) ).
fof(f15358,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15350,f8962]) ).
fof(f15360,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f15352,f8962]) ).
fof(f15362,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,X0,sK86),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,X0,sK87)
| ~ m1_subset_1(X0,u1_struct_0(sK82)) ),
inference(forward_subsumption_resolution,[],[f15358,f8961]) ).
fof(f15364,plain,
! [X0] :
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,X0,sK86))
| ~ r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82)) ),
inference(forward_subsumption_resolution,[],[f15360,f8961]) ).
fof(f15414,plain,
! [X2,X3,X0,X1,X4] :
( r1_orders_2(X0,k13_lattice3(X1,X2,X3),k13_lattice3(X1,X4,X3))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X1))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f14311,f9170]) ).
fof(f15415,plain,
! [X2,X3,X0,X1,X4] :
( r1_orders_2(X0,k13_lattice3(X1,X2,X3),k13_lattice3(X1,X4,X3))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X1))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(duplicate_literal_removal,[],[f15414]) ).
fof(f15418,plain,
! [X2,X3,X0,X1,X4] :
( r1_orders_2(X0,k13_lattice3(X1,X2,X3),k13_lattice3(X1,X4,X3))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(forward_subsumption_resolution,[],[f15415,f9198]) ).
fof(f15421,plain,
! [X2,X3,X0,X1,X4] :
( r1_orders_2(X0,k13_lattice3(X1,X2,X3),k13_lattice3(X1,X4,X3))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(forward_subsumption_resolution,[],[f15418,f9198]) ).
fof(f15424,plain,
! [X2,X3,X0,X1,X4] :
( r1_orders_2(X0,k13_lattice3(X1,X2,X3),k13_lattice3(X1,X4,X3))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(k13_lattice3(X1,X4,X3),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X0))
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(forward_subsumption_resolution,[],[f15421,f9225]) ).
fof(f15551,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X0,X4)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X4)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X0))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f15007,f14313]) ).
fof(f15552,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X4,X0)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(resolution,[],[f15007,f14311]) ).
fof(f15565,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X4,X0)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| v3_struct_0(X0)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(duplicate_literal_removal,[],[f15552]) ).
fof(f15566,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X0,X4)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X4)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X0))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f15551]) ).
fof(f15568,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X4,X0)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| v3_struct_0(X0)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(forward_subsumption_resolution,[],[f15565,f9198]) ).
fof(f15569,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X0,X4)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X4)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f15566,f9198]) ).
fof(f15570,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X4,X0)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ r1_orders_2(X0,X1,X2)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(forward_subsumption_resolution,[],[f15568,f9225]) ).
fof(f15571,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(k13_lattice3(X0,X1,X3),u1_struct_0(X4))
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| r1_orders_2(X4,k13_lattice3(X0,X1,X3),X2)
| ~ r1_latsum_1(X0,X4)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X4)
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ r1_orders_2(X0,X1,X2)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ),
inference(forward_subsumption_resolution,[],[f15569,f9225]) ).
fof(f15577,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f15571,f15239]) ).
fof(f15582,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f15577]) ).
fof(f15587,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15582,f13559]) ).
fof(f15592,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15587,f8963]) ).
fof(f15597,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ l1_orders_2(sK82)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15592,f8962]) ).
fof(f15601,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15597,f8961]) ).
fof(f15605,plain,
! [X0,X1] :
( ~ r1_orders_2(sK82,sK86,X1)
| ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15601,f8964]) ).
fof(f15611,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f15570,f15241]) ).
fof(f15613,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f15570,f15242]) ).
fof(f15616,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f15613]) ).
fof(f15618,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f15611]) ).
fof(f15621,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15616,f8976]) ).
fof(f15623,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15618,f8975]) ).
fof(f15626,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15621,f8969]) ).
fof(f15628,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15623,f8969]) ).
fof(f15631,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15626,f8968]) ).
fof(f15633,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ l1_orders_2(sK83)
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15628,f8968]) ).
fof(f15635,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15631,f8967]) ).
fof(f15637,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15633,f8967]) ).
fof(f15639,plain,
! [X0,X1] :
( ~ r1_orders_2(sK83,sK87,X1)
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| r1_orders_2(X0,sK87,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15635,f8970]) ).
fof(f15641,plain,
! [X0,X1] :
( ~ r1_orders_2(sK83,sK86,X1)
| ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| r1_orders_2(X0,sK86,X1)
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f15637,f8970]) ).
fof(f15971,plain,
l1_struct_0(sK82),
inference(resolution,[],[f13119,f8961]) ).
fof(f15972,plain,
l1_struct_0(sK83),
inference(resolution,[],[f13119,f8967]) ).
fof(f16023,plain,
! [X0] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| m1_subset_1(X0,u1_struct_0(sK83)) ),
inference(resolution,[],[f9116,f13555]) ).
fof(f16024,plain,
! [X0] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| m1_subset_1(X0,u1_struct_0(sK82)) ),
inference(resolution,[],[f9116,f13557]) ).
fof(f16029,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X1)
| k13_lattice3(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f10794,f15009]) ).
fof(f16030,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),k13_lattice3(X0,X3,X2))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f10794,f9170]) ).
fof(f16033,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,k13_lattice3(X0,X2,X3))
| k13_lattice3(X0,X2,X3) = X1
| ~ m1_subset_1(k13_lattice3(X0,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X2,X1)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f10794,f15007]) ).
fof(f16042,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,k13_lattice3(X0,X2,X3))
| k13_lattice3(X0,X2,X3) = X1
| ~ m1_subset_1(k13_lattice3(X0,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X2,X1)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f16033]) ).
fof(f16045,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),k13_lattice3(X0,X3,X2))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f16030]) ).
fof(f16046,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X1)
| k13_lattice3(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f16029]) ).
fof(f16048,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,k13_lattice3(X0,X2,X3))
| k13_lattice3(X0,X2,X3) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X2,X1)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f16042,f9198]) ).
fof(f16049,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),k13_lattice3(X0,X3,X2))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f16045,f9198]) ).
fof(f16050,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),X1)
| k13_lattice3(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f16046,f9198]) ).
fof(f16052,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,k13_lattice3(X0,X1,X2),k13_lattice3(X0,X3,X2))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f16049,f9198]) ).
fof(f16237,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(superposition,[],[f9168,f15244]) ).
fof(f16254,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16237,f13559]) ).
fof(f16261,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16254,f13558]) ).
fof(f16265,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16261,f8964]) ).
fof(f16267,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16265,f8963]) ).
fof(f16269,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16267,f8962]) ).
fof(f16271,plain,
! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),X0)
| r1_orders_2(sK82,sK87,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82)) ),
inference(forward_subsumption_resolution,[],[f16269,f8961]) ).
fof(f16373,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r1_orders_2(sK82,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK82)
| r2_hidden(X1,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ l1_orders_2(sK82) ),
inference(resolution,[],[f9354,f13557]) ).
fof(f16382,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r1_orders_2(sK82,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK82)
| r2_hidden(X1,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16373,f16024]) ).
fof(f16383,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r1_orders_2(sK82,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f16382,f13556]) ).
fof(f16384,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r1_orders_2(sK82,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
inference(forward_subsumption_resolution,[],[f16383,f8961]) ).
fof(f16532,plain,
! [X2,X3,X0,X1] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,k13_lattice3(X0,X3,X2))
| ~ r1_orders_2(X0,X2,k13_lattice3(X0,X3,X2))
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f16052,f15007]) ).
fof(f16553,plain,
! [X2,X3,X0,X1] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,k13_lattice3(X0,X3,X2))
| ~ r1_orders_2(X0,X2,k13_lattice3(X0,X3,X2))
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f16532]) ).
fof(f16567,plain,
! [X2,X3,X0,X1] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,k13_lattice3(X0,X3,X2))
| ~ m1_subset_1(k13_lattice3(X0,X3,X2),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f16553,f15008]) ).
fof(f16580,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,k13_lattice3(X0,X3,X2))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X3,X2) ),
inference(forward_subsumption_resolution,[],[f16567,f9198]) ).
fof(f16829,plain,
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| ~ r1_orders_2(sK82,sK87,sK87)
| ~ m1_subset_1(sK87,u1_struct_0(sK82)) ),
inference(superposition,[],[f15362,f15244]) ).
fof(f16832,plain,
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK82)) ),
inference(forward_subsumption_resolution,[],[f16829,f15285]) ).
fof(f16834,plain,
r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87)),
inference(forward_subsumption_resolution,[],[f16832,f13558]) ).
fof(f16839,definition,
( spl638_41
<=> m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82)) ),
introduced(definition,[new_symbols(definition,[spl638_41])],[avatar_definition]) ).
fof(f16840,plain,
( m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| ~ spl638_41 ),
inference(avatar_component_clause,[],[f16839]) ).
fof(f16841,plain,
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| spl638_41 ),
inference(avatar_component_clause,[],[f16839]) ).
fof(f16846,plain,
( ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| spl638_41 ),
inference(resolution,[],[f16841,f9198]) ).
fof(f16847,plain,
( ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| spl638_41 ),
inference(forward_subsumption_resolution,[],[f16846,f8963]) ).
fof(f16848,plain,
( ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| spl638_41 ),
inference(forward_subsumption_resolution,[],[f16847,f8962]) ).
fof(f16849,plain,
( ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| spl638_41 ),
inference(forward_subsumption_resolution,[],[f16848,f8961]) ).
fof(f16850,plain,
( ~ m1_subset_1(sK87,u1_struct_0(sK82))
| spl638_41 ),
inference(forward_subsumption_resolution,[],[f16849,f13559]) ).
fof(f16851,plain,
( $false
| spl638_41 ),
inference(forward_subsumption_resolution,[],[f16850,f13558]) ).
fof(f16852,plain,
spl638_41,
inference(avatar_contradiction_clause,[],[f16851]) ).
fof(f17616,plain,
! [X2,X0,X1] :
( k13_lattice3(X0,X1,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,X1)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f16050,f15007]) ).
fof(f17623,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,X1)
| k13_lattice3(X0,X1,X2) = X1 ),
inference(duplicate_literal_removal,[],[f17616]) ).
fof(f18471,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(sK82))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(resolution,[],[f15605,f15009]) ).
fof(f18473,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f18471,f9198]) ).
fof(f18475,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f18473,f13559]) ).
fof(f18477,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f18475,f8963]) ).
fof(f18479,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| ~ l1_orders_2(sK82) ),
inference(forward_subsumption_resolution,[],[f18477,f8962]) ).
fof(f18481,plain,
! [X0,X1] :
( ~ m1_subset_1(k13_lattice3(sK82,sK86,X1),u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK82,sK86,X1))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK86,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK82)) ),
inference(forward_subsumption_resolution,[],[f18479,f8961]) ).
fof(f18655,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82)) ),
inference(resolution,[],[f16271,f16834]) ).
fof(f18674,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18655,f16840]) ).
fof(f18689,plain,
( ! [X0] :
( r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_41 ),
inference(resolution,[],[f18674,f14313]) ).
fof(f18694,plain,
( ! [X0] :
( r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18689,f8964]) ).
fof(f18697,plain,
( ! [X0] :
( r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18694,f16840]) ).
fof(f18700,plain,
( ! [X0] :
( r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18697,f13558]) ).
fof(f18703,plain,
( ! [X0] :
( r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK82) )
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18700,f8966]) ).
fof(f18706,plain,
( ! [X0] :
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(X0))
| ~ r1_latsum_1(sK82,X0)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl638_41 ),
inference(forward_subsumption_resolution,[],[f18703,f8961]) ).
fof(f18819,plain,
( r2_hidden(sK87,u1_struct_0(sK82))
| v1_xboole_0(u1_struct_0(sK82)) ),
inference(resolution,[],[f9134,f13558]) ).
fof(f18820,plain,
( r2_hidden(sK86,u1_struct_0(sK82))
| v1_xboole_0(u1_struct_0(sK82)) ),
inference(resolution,[],[f9134,f13559]) ).
fof(f18822,plain,
( r2_hidden(sK87,u1_struct_0(sK83))
| v1_xboole_0(u1_struct_0(sK83)) ),
inference(resolution,[],[f9134,f8976]) ).
fof(f18823,plain,
( r2_hidden(sK86,u1_struct_0(sK83))
| v1_xboole_0(u1_struct_0(sK83)) ),
inference(resolution,[],[f9134,f8975]) ).
fof(f18843,definition,
( spl638_72
<=> v1_xboole_0(u1_struct_0(sK83)) ),
introduced(definition,[new_symbols(definition,[spl638_72])],[avatar_definition]) ).
fof(f18845,plain,
( v1_xboole_0(u1_struct_0(sK83))
| ~ spl638_72 ),
inference(avatar_component_clause,[],[f18843]) ).
fof(f18852,definition,
( spl638_74
<=> r2_hidden(sK86,u1_struct_0(sK83)) ),
introduced(definition,[new_symbols(definition,[spl638_74])],[avatar_definition]) ).
fof(f18854,plain,
( r2_hidden(sK86,u1_struct_0(sK83))
| ~ spl638_74 ),
inference(avatar_component_clause,[],[f18852]) ).
fof(f18855,plain,
( spl638_72
| spl638_74 ),
inference(avatar_split_clause,[],[f18823,f18852,f18843]) ).
fof(f18857,definition,
( spl638_75
<=> r2_hidden(sK87,u1_struct_0(sK83)) ),
introduced(definition,[new_symbols(definition,[spl638_75])],[avatar_definition]) ).
fof(f18859,plain,
( r2_hidden(sK87,u1_struct_0(sK83))
| ~ spl638_75 ),
inference(avatar_component_clause,[],[f18857]) ).
fof(f18860,plain,
( spl638_72
| spl638_75 ),
inference(avatar_split_clause,[],[f18822,f18857,f18843]) ).
fof(f18862,definition,
( spl638_76
<=> v1_xboole_0(u1_struct_0(sK82)) ),
introduced(definition,[new_symbols(definition,[spl638_76])],[avatar_definition]) ).
fof(f18864,plain,
( v1_xboole_0(u1_struct_0(sK82))
| ~ spl638_76 ),
inference(avatar_component_clause,[],[f18862]) ).
fof(f18871,definition,
( spl638_78
<=> r2_hidden(sK86,u1_struct_0(sK82)) ),
introduced(definition,[new_symbols(definition,[spl638_78])],[avatar_definition]) ).
fof(f18873,plain,
( r2_hidden(sK86,u1_struct_0(sK82))
| ~ spl638_78 ),
inference(avatar_component_clause,[],[f18871]) ).
fof(f18874,plain,
( spl638_76
| spl638_78 ),
inference(avatar_split_clause,[],[f18820,f18871,f18862]) ).
fof(f18876,definition,
( spl638_79
<=> r2_hidden(sK87,u1_struct_0(sK82)) ),
introduced(definition,[new_symbols(definition,[spl638_79])],[avatar_definition]) ).
fof(f18878,plain,
( r2_hidden(sK87,u1_struct_0(sK82))
| ~ spl638_79 ),
inference(avatar_component_clause,[],[f18876]) ).
fof(f18879,plain,
( spl638_76
| spl638_79 ),
inference(avatar_split_clause,[],[f18819,f18876,f18862]) ).
fof(f19313,plain,
( v3_struct_0(sK83)
| ~ l1_struct_0(sK83)
| ~ spl638_72 ),
inference(resolution,[],[f18845,f13125]) ).
fof(f19314,plain,
( ~ l1_struct_0(sK83)
| ~ spl638_72 ),
inference(forward_subsumption_resolution,[],[f19313,f8972]) ).
fof(f19315,plain,
( $false
| ~ spl638_72 ),
inference(forward_subsumption_resolution,[],[f19314,f15972]) ).
fof(f19316,plain,
~ spl638_72,
inference(avatar_contradiction_clause,[],[f19315]) ).
fof(f19406,plain,
( v3_struct_0(sK82)
| ~ l1_struct_0(sK82)
| ~ spl638_76 ),
inference(resolution,[],[f18864,f13125]) ).
fof(f19407,plain,
( ~ l1_struct_0(sK82)
| ~ spl638_76 ),
inference(forward_subsumption_resolution,[],[f19406,f8966]) ).
fof(f19408,plain,
( $false
| ~ spl638_76 ),
inference(forward_subsumption_resolution,[],[f19407,f15971]) ).
fof(f19409,plain,
~ spl638_76,
inference(avatar_contradiction_clause,[],[f19408]) ).
fof(f21114,plain,
! [X2,X0,X1] :
( ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f16580,f15008]) ).
fof(f21169,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f21114]) ).
fof(f21807,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(sK83))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(resolution,[],[f15641,f15009]) ).
fof(f21813,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f21807,f9198]) ).
fof(f21817,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f21813,f8975]) ).
fof(f21821,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f21817,f8969]) ).
fof(f21825,plain,
! [X0,X1] :
( ~ m1_subset_1(sK86,u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f21821,f8968]) ).
fof(f21829,plain,
! [X0,X1] :
( ~ m1_subset_1(k13_lattice3(sK83,sK86,X1),u1_struct_0(X0))
| r1_orders_2(X0,sK86,k13_lattice3(sK83,sK86,X1))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK86,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83)) ),
inference(forward_subsumption_resolution,[],[f21825,f8967]) ).
fof(f22382,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(sK83))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(resolution,[],[f15639,f15008]) ).
fof(f22391,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f22382,f9198]) ).
fof(f22395,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f22391,f8976]) ).
fof(f22399,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f22395,f8969]) ).
fof(f22403,plain,
! [X0,X1] :
( ~ m1_subset_1(sK87,u1_struct_0(X0))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83))
| ~ l1_orders_2(sK83) ),
inference(forward_subsumption_resolution,[],[f22399,f8968]) ).
fof(f22407,plain,
! [X0,X1] :
( ~ m1_subset_1(k13_lattice3(sK83,X1,sK87),u1_struct_0(X0))
| r1_orders_2(X0,sK87,k13_lattice3(sK83,X1,sK87))
| ~ r1_latsum_1(X0,sK83)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK87,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK83)) ),
inference(forward_subsumption_resolution,[],[f22403,f8967]) ).
fof(f30849,plain,
! [X0,X1] :
( ~ r1_orders_2(sK82,X0,X1)
| ~ r2_hidden(X0,u1_struct_0(sK83))
| ~ r2_hidden(X0,u1_struct_0(sK82))
| ~ m1_subset_1(X1,u1_struct_0(sK82))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
inference(resolution,[],[f14297,f16384]) ).
fof(f30942,plain,
( ~ r2_hidden(sK87,u1_struct_0(sK83))
| ~ r2_hidden(sK87,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_41 ),
inference(resolution,[],[f30849,f18674]) ).
fof(f31004,plain,
( ~ r2_hidden(sK87,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_41
| ~ spl638_75 ),
inference(forward_subsumption_resolution,[],[f30942,f18859]) ).
fof(f31028,plain,
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_41
| ~ spl638_75
| ~ spl638_79 ),
inference(forward_subsumption_resolution,[],[f31004,f18878]) ).
fof(f31031,definition,
( spl638_285
<=> r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
introduced(definition,[new_symbols(definition,[spl638_285])],[avatar_definition]) ).
fof(f31032,plain,
( ~ r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| spl638_285 ),
inference(avatar_component_clause,[],[f31031]) ).
fof(f31033,plain,
( r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_285 ),
inference(avatar_component_clause,[],[f31031]) ).
fof(f31039,definition,
( spl638_287
<=> r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
introduced(definition,[new_symbols(definition,[spl638_287])],[avatar_definition]) ).
fof(f31040,plain,
( ~ r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| spl638_287 ),
inference(avatar_component_clause,[],[f31039]) ).
fof(f31041,plain,
( r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_287 ),
inference(avatar_component_clause,[],[f31039]) ).
fof(f31055,definition,
( spl638_291
<=> r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
introduced(definition,[new_symbols(definition,[spl638_291])],[avatar_definition]) ).
fof(f31057,plain,
( r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_291 ),
inference(avatar_component_clause,[],[f31055]) ).
fof(f31082,plain,
( r2_hidden(k13_lattice3(sK82,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_41
| ~ spl638_75
| ~ spl638_79 ),
inference(forward_subsumption_resolution,[],[f31028,f16840]) ).
fof(f31102,plain,
( spl638_291
| ~ spl638_41
| ~ spl638_75
| ~ spl638_79 ),
inference(avatar_split_clause,[],[f31082,f18876,f18857,f16839,f31055]) ).
fof(f31112,definition,
( spl638_296
<=> r2_hidden(k13_lattice3(sK83,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83)))) ),
introduced(definition,[new_symbols(definition,[spl638_296])],[avatar_definition]) ).
fof(f31113,plain,
( ~ r2_hidden(k13_lattice3(sK83,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| spl638_296 ),
inference(avatar_component_clause,[],[f31112]) ).
fof(f31114,plain,
( r2_hidden(k13_lattice3(sK83,sK86,sK87),k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ spl638_296 ),
inference(avatar_component_clause,[],[f31112]) ).
fof(f31116,definition,
( spl638_297
<=> m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82)) ),
introduced(definition,[new_symbols(definition,[spl638_297])],[avatar_definition]) ).
fof(f31117,plain,
( m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ spl638_297 ),
inference(avatar_component_clause,[],[f31116]) ).
fof(f31357,plain,
( m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ spl638_296 ),
inference(resolution,[],[f31114,f16024]) ).
fof(f31382,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(resolution,[],[f31117,f21829]) ).
fof(f31391,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(resolution,[],[f31117,f22407]) ).
fof(f31456,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ v3_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31391,f8979]) ).
fof(f31457,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ v3_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31382,f8979]) ).
fof(f31481,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31456,f8964]) ).
fof(f31482,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31457,f8964]) ).
fof(f31503,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31481,f13558]) ).
fof(f31504,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31482,f13559]) ).
fof(f31522,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31503,f8966]) ).
fof(f31523,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31504,f8966]) ).
fof(f31538,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31522,f8961]) ).
fof(f31539,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31523,f8961]) ).
fof(f31541,definition,
( spl638_317
<=> r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) ),
introduced(definition,[new_symbols(definition,[spl638_317])],[avatar_definition]) ).
fof(f31543,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ spl638_317 ),
inference(avatar_component_clause,[],[f31541]) ).
fof(f31561,plain,
( r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31538,f8975]) ).
fof(f31562,plain,
( r1_orders_2(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31539,f8976]) ).
fof(f31570,plain,
( spl638_317
| ~ spl638_297 ),
inference(avatar_split_clause,[],[f31562,f31116,f31541]) ).
fof(f31589,plain,
( ~ r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| spl638_296 ),
inference(resolution,[],[f31113,f9261]) ).
fof(f31591,plain,
( ~ r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31589,f16023]) ).
fof(f31592,plain,
( ~ r2_hidden(sK86,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31591,f16023]) ).
fof(f31593,plain,
( ~ r2_hidden(sK87,k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))))
| ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31592,f31041]) ).
fof(f31594,plain,
( ~ v1_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31593,f31033]) ).
fof(f31595,plain,
( ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),sK83)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31594,f13553]) ).
fof(f31596,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK82),k4_xboole_0(u1_struct_0(sK82),u1_struct_0(sK83))),k1_zfmisc_1(u1_struct_0(sK83)))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31595,f13554]) ).
fof(f31597,plain,
( ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31596,f13555]) ).
fof(f31598,plain,
( ~ v1_lattice3(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31597,f8969]) ).
fof(f31599,plain,
( ~ l1_orders_2(sK83)
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31598,f8968]) ).
fof(f31600,plain,
( $false
| ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(forward_subsumption_resolution,[],[f31599,f8967]) ).
fof(f31601,plain,
( ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(avatar_contradiction_clause,[],[f31600]) ).
fof(f31602,plain,
( ~ r2_hidden(sK87,u1_struct_0(sK82))
| ~ r2_hidden(sK87,u1_struct_0(sK83))
| spl638_285 ),
inference(resolution,[],[f31032,f14297]) ).
fof(f31603,plain,
( ~ r2_hidden(sK87,u1_struct_0(sK83))
| ~ spl638_79
| spl638_285 ),
inference(forward_subsumption_resolution,[],[f31602,f18878]) ).
fof(f31604,plain,
( $false
| ~ spl638_75
| ~ spl638_79
| spl638_285 ),
inference(forward_subsumption_resolution,[],[f31603,f18859]) ).
fof(f31605,plain,
( ~ spl638_75
| ~ spl638_79
| spl638_285 ),
inference(avatar_contradiction_clause,[],[f31604]) ).
fof(f31613,plain,
( ~ r2_hidden(sK86,u1_struct_0(sK82))
| ~ r2_hidden(sK86,u1_struct_0(sK83))
| spl638_287 ),
inference(resolution,[],[f31040,f14297]) ).
fof(f31614,plain,
( ~ r2_hidden(sK86,u1_struct_0(sK83))
| ~ spl638_78
| spl638_287 ),
inference(forward_subsumption_resolution,[],[f31613,f18873]) ).
fof(f31615,plain,
( $false
| ~ spl638_74
| ~ spl638_78
| spl638_287 ),
inference(forward_subsumption_resolution,[],[f31614,f18854]) ).
fof(f31616,plain,
( ~ spl638_74
| ~ spl638_78
| spl638_287 ),
inference(avatar_contradiction_clause,[],[f31615]) ).
fof(f31617,plain,
( spl638_297
| ~ spl638_296 ),
inference(avatar_split_clause,[],[f31357,f31112,f31116]) ).
fof(f31659,plain,
( k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86) = k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297 ),
inference(resolution,[],[f31117,f15219]) ).
fof(f31671,plain,
( r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| v3_struct_0(sK82)
| ~ v2_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(resolution,[],[f31117,f9161]) ).
fof(f31672,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ v2_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(resolution,[],[f31117,f9169]) ).
fof(f31695,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31672,f8965]) ).
fof(f31696,plain,
( r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ v2_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31671,f8966]) ).
fof(f31713,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31695,f8963]) ).
fof(f31714,plain,
( r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31696,f8965]) ).
fof(f31728,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ l1_orders_2(sK82)
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31713,f8962]) ).
fof(f31729,plain,
( r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31714,f8961]) ).
fof(f31741,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297 ),
inference(forward_subsumption_resolution,[],[f31728,f8961]) ).
fof(f31875,plain,
( ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_317 ),
inference(resolution,[],[f31543,f17623]) ).
fof(f31876,plain,
( ~ l1_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_317 ),
inference(resolution,[],[f31543,f21169]) ).
fof(f31877,plain,
( ~ v4_orders_2(sK82)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31876,f8961]) ).
fof(f31878,plain,
( ~ v4_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31875,f31117]) ).
fof(f31887,plain,
( ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31877,f8963]) ).
fof(f31888,plain,
( ~ l1_orders_2(sK82)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31878,f8963]) ).
fof(f31895,plain,
( ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31887,f31117]) ).
fof(f31896,plain,
( ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31888,f8961]) ).
fof(f31900,plain,
( ~ v3_orders_2(sK82)
| ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31895,f13559]) ).
fof(f31901,plain,
( ~ v1_lattice3(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31896,f13559]) ).
fof(f31905,plain,
( ~ v1_lattice3(sK82)
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31900,f8964]) ).
fof(f31906,plain,
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31901,f8962]) ).
fof(f31909,plain,
( k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31905,f8962]) ).
fof(f31910,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,k13_lattice3(sK83,sK86,sK87),sK86)
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f31906,f31729]) ).
fof(f31912,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_demodulation,[],[f31909,f31741]) ).
fof(f32149,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(superposition,[],[f9168,f31912]) ).
fof(f32213,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32149,f31117]) ).
fof(f32230,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v3_orders_2(sK82)
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32213,f13559]) ).
fof(f32247,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32230,f8964]) ).
fof(f32264,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v1_lattice3(sK82)
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32247,f8963]) ).
fof(f32281,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ l1_orders_2(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32264,f8962]) ).
fof(f32297,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK82)) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32281,f8961]) ).
fof(f32452,plain,
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ r1_orders_2(sK82,sK87,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ spl638_297
| ~ spl638_317 ),
inference(superposition,[],[f15364,f31910]) ).
fof(f32538,plain,
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32452,f31561]) ).
fof(f32557,plain,
( r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f32538,f31117]) ).
fof(f33472,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ r1_orders_2(sK82,sK86,X0)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v1_lattice3(sK82) )
| ~ spl638_297 ),
inference(superposition,[],[f16048,f31659]) ).
fof(f33504,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ v4_orders_2(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v1_lattice3(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33472,f32297]) ).
fof(f33533,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v1_lattice3(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33504,f8963]) ).
fof(f33562,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ m1_subset_1(sK86,u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v1_lattice3(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33533,f8961]) ).
fof(f33591,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ v1_lattice3(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33562,f13559]) ).
fof(f33618,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ v1_lattice3(sK82) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33591,f31117]) ).
fof(f33643,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33618,f8962]) ).
fof(f33664,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,X0,k13_lattice3(sK83,sK86,sK87))
| k13_lattice3(sK82,sK86,k13_lattice3(sK83,sK86,sK87)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_demodulation,[],[f33643,f31912]) ).
fof(f33683,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,sK86,sK87),X0)
| ~ r1_orders_2(sK82,X0,k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(X0,u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = X0 )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_demodulation,[],[f33664,f31912]) ).
fof(f33709,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(resolution,[],[f33683,f15424]) ).
fof(f33724,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(duplicate_literal_removal,[],[f33709]) ).
fof(f33731,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ v3_orders_2(sK82)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33724,f8979]) ).
fof(f33737,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33731,f8964]) ).
fof(f33739,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ m1_subset_1(k13_lattice3(sK83,sK86,sK87),u1_struct_0(sK82))
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33737,f8970]) ).
fof(f33741,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ l1_orders_2(sK83)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33739,f31117]) ).
fof(f33743,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| v3_struct_0(sK82)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33741,f8967]) ).
fof(f33744,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ l1_orders_2(sK82)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33743,f8966]) ).
fof(f33745,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33744,f8961]) ).
fof(f33746,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33745,f8976]) ).
fof(f33747,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33746,f8975]) ).
fof(f33748,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK83))
| ~ v1_lattice3(sK83) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33747,f8969]) ).
fof(f33749,plain,
( ! [X0] :
( ~ r1_orders_2(sK82,k13_lattice3(sK83,X0,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK83,X0,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK83,X0,sK87)
| ~ r1_orders_2(sK83,sK86,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK83)) )
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f33748,f8968]) ).
fof(f34463,plain,
( m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_291 ),
inference(resolution,[],[f31057,f16023]) ).
fof(f34480,plain,
( ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK83)
| r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_41
| ~ spl638_291 ),
inference(resolution,[],[f34463,f18706]) ).
fof(f34483,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ r1_latsum_1(sK82,sK83)
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(resolution,[],[f34463,f18481]) ).
fof(f34521,plain,
( r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| v3_struct_0(sK83)
| ~ v2_orders_2(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_291 ),
inference(resolution,[],[f34463,f9161]) ).
fof(f34547,plain,
( r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| ~ v2_orders_2(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34521,f8972]) ).
fof(f34559,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ v3_orders_2(sK83)
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34483,f8979]) ).
fof(f34561,plain,
( ~ v3_orders_2(sK83)
| r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34480,f8979]) ).
fof(f34576,plain,
( r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| ~ l1_orders_2(sK83)
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34547,f8971]) ).
fof(f34586,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK86,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34559,f8970]) ).
fof(f34588,plain,
( r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34561,f8970]) ).
fof(f34600,plain,
( r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34576,f8967]) ).
fof(f34610,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34586,f8975]) ).
fof(f34612,plain,
( r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| v3_struct_0(sK83)
| ~ l1_orders_2(sK83)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34588,f8976]) ).
fof(f34631,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34610,f8972]) ).
fof(f34633,plain,
( r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ l1_orders_2(sK83)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34612,f8972]) ).
fof(f34647,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(sK87,u1_struct_0(sK82))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34631,f8967]) ).
fof(f34649,definition,
( spl638_360
<=> r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87)) ),
introduced(definition,[new_symbols(definition,[spl638_360])],[avatar_definition]) ).
fof(f34651,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ spl638_360 ),
inference(avatar_component_clause,[],[f34649]) ).
fof(f34656,plain,
( r1_orders_2(sK83,sK87,k13_lattice3(sK82,sK86,sK87))
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34633,f8967]) ).
fof(f34670,plain,
( r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34647,f13558]) ).
fof(f34678,plain,
( spl638_360
| ~ spl638_291 ),
inference(avatar_split_clause,[],[f34670,f31055,f34649]) ).
fof(f34789,plain,
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ v4_orders_2(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(resolution,[],[f34656,f17623]) ).
fof(f34792,plain,
( ~ v4_orders_2(sK83)
| ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34789,f34463]) ).
fof(f34802,plain,
( ~ l1_orders_2(sK83)
| ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34792,f8969]) ).
fof(f34810,plain,
( ~ m1_subset_1(sK87,u1_struct_0(sK83))
| ~ v1_lattice3(sK83)
| ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34802,f8967]) ).
fof(f34815,plain,
( ~ v1_lattice3(sK83)
| ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34810,f8976]) ).
fof(f34820,plain,
( ~ r1_orders_2(sK83,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK82,sK86,sK87))
| k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34815,f8968]) ).
fof(f34824,plain,
( k13_lattice3(sK82,sK86,sK87) = k13_lattice3(sK83,k13_lattice3(sK82,sK86,sK87),sK87)
| ~ spl638_41
| ~ spl638_291 ),
inference(forward_subsumption_resolution,[],[f34820,f34600]) ).
fof(f35484,plain,
( ~ r1_orders_2(sK82,k13_lattice3(sK82,sK86,sK87),k13_lattice3(sK83,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,sK86,sK87)
| ~ r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317 ),
inference(superposition,[],[f33749,f34824]) ).
fof(f35553,plain,
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK82))
| k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,sK86,sK87)
| ~ r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f35484,f32557]) ).
fof(f35569,plain,
( k13_lattice3(sK83,sK86,sK87) = k13_lattice3(sK82,sK86,sK87)
| ~ r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f35553,f16840]) ).
fof(f35585,plain,
( ~ r1_orders_2(sK83,sK86,k13_lattice3(sK82,sK86,sK87))
| ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317 ),
inference(forward_subsumption_resolution,[],[f35569,f13552]) ).
fof(f35597,plain,
( ~ m1_subset_1(k13_lattice3(sK82,sK86,sK87),u1_struct_0(sK83))
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317
| ~ spl638_360 ),
inference(forward_subsumption_resolution,[],[f35585,f34651]) ).
fof(f35609,plain,
( $false
| ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317
| ~ spl638_360 ),
inference(forward_subsumption_resolution,[],[f35597,f34463]) ).
fof(f35610,plain,
( ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317
| ~ spl638_360 ),
inference(avatar_contradiction_clause,[],[f35609]) ).
cnf(s30,plain,
spl638_41,
inference(sat_conversion,[],[f16852]) ).
cnf(s46,plain,
( spl638_72
| spl638_74 ),
inference(sat_conversion,[],[f18855]) ).
cnf(s47,plain,
( spl638_72
| spl638_75 ),
inference(sat_conversion,[],[f18860]) ).
cnf(s49,plain,
( spl638_76
| spl638_78 ),
inference(sat_conversion,[],[f18874]) ).
cnf(s50,plain,
( spl638_76
| spl638_79 ),
inference(sat_conversion,[],[f18879]) ).
cnf(s55,plain,
~ spl638_72,
inference(sat_conversion,[],[f19316]) ).
cnf(s56,plain,
~ spl638_76,
inference(sat_conversion,[],[f19409]) ).
cnf(s241,plain,
( ~ spl638_41
| ~ spl638_75
| ~ spl638_79
| spl638_291 ),
inference(sat_conversion,[],[f31102]) ).
cnf(s259,plain,
( ~ spl638_297
| spl638_317 ),
inference(sat_conversion,[],[f31570]) ).
cnf(s261,plain,
( ~ spl638_285
| ~ spl638_287
| spl638_296 ),
inference(sat_conversion,[],[f31601]) ).
cnf(s262,plain,
( ~ spl638_75
| ~ spl638_79
| spl638_285 ),
inference(sat_conversion,[],[f31605]) ).
cnf(s263,plain,
( ~ spl638_74
| ~ spl638_78
| spl638_287 ),
inference(sat_conversion,[],[f31616]) ).
cnf(s264,plain,
( ~ spl638_296
| spl638_297 ),
inference(sat_conversion,[],[f31617]) ).
cnf(s293,plain,
( ~ spl638_291
| spl638_360 ),
inference(sat_conversion,[],[f34678]) ).
cnf(s298,plain,
( ~ spl638_41
| ~ spl638_291
| ~ spl638_297
| ~ spl638_317
| ~ spl638_360 ),
inference(sat_conversion,[],[f35610]) ).
cnf(s434,plain,
spl638_79,
inference(rat,[],[s50,s56]) ).
cnf(s435,plain,
spl638_78,
inference(rat,[],[s49,s56]) ).
cnf(s437,plain,
spl638_75,
inference(rat,[],[s47,s55]) ).
cnf(s439,plain,
spl638_285,
inference(rat,[],[s262,s434,s437]) ).
cnf(s440,plain,
spl638_74,
inference(rat,[],[s46,s55]) ).
cnf(s442,plain,
spl638_287,
inference(rat,[],[s263,s435,s440]) ).
cnf(s443,plain,
spl638_296,
inference(rat,[],[s261,s439,s442]) ).
cnf(s444,plain,
spl638_297,
inference(rat,[],[s264,s443]) ).
cnf(s445,plain,
spl638_317,
inference(rat,[],[s259,s444]) ).
cnf(s448,plain,
spl638_291,
inference(rat,[],[s241,s437,s434,s30]) ).
cnf(s452,plain,
~ spl638_360,
inference(rat,[],[s298,s30,s445,s444,s448]) ).
cnf(s453,plain,
$false,
inference(rat,[],[s293,s452,s448]) ).
fof(f35622,plain,
$false,
inference(avatar_sat_refutation,[],[s453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU410+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 05:14:40 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.64/4.73 % (3019220)Detected formulas, will run a generic FOF schedule.
% 25.64/4.73 % (3019228)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=2570110078:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 25.64/4.73 % (3019233)dis-21_1_sil=8000:lcm=predicate:random_seed=541767873:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 25.64/4.73 % (3019227)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=3953582073:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 25.64/4.73 % (3019229)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=3358854285:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 25.64/4.73 % (3019230)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3016409110:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 25.64/4.73 % (3019231)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3998961926:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 25.64/4.73 % (3019232)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=402666269:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 25.64/4.73 % (3019230)Instruction limit reached!
% 25.64/4.73 % (3019230)------------------------------
% 25.64/4.73 % (3019230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.64/4.73 % (3019230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.64/4.73 % (3019230)CaDiCaL version: 2.1.3
% 25.64/4.73 % (3019230)Termination reason: Instruction limit
% 25.64/4.73 % (3019230)Termination phase: Saturation
% 25.64/4.73 % (3019230)Time elapsed: 0.111 s
% 25.64/4.73 % (3019230)Peak memory usage: 94 MB
% 25.64/4.73 % (3019230)Instructions burned: 109 (million)
% 25.64/4.73 % (3019231)Instruction limit reached!
% 25.64/4.73 % (3019231)------------------------------
% 25.64/4.73 % (3019231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.64/4.73 % (3019231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.64/4.73 % (3019231)CaDiCaL version: 2.1.3
% 25.64/4.73 % (3019231)Termination reason: Instruction limit
% 25.64/4.73 % (3019231)Termination phase: Saturation
% 25.64/4.73 % (3019231)Time elapsed: 0.120 s
% 25.64/4.73 % (3019231)Peak memory usage: 95 MB
% 25.64/4.73 % (3019231)Instructions burned: 119 (million)
% 25.64/4.73 % (3019233)Instruction limit reached!
% 25.64/4.73 % (3019233)------------------------------
% 25.64/4.73 % (3019233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.64/4.73 % (3019233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.64/4.73 % (3019233)CaDiCaL version: 2.1.3
% 25.64/4.73 % (3019233)Termination reason: Instruction limit
% 25.64/4.73 % (3019233)Termination phase: Preprocessing 3
% 25.64/4.73 % (3019233)Time elapsed: 0.144 s
% 25.64/4.73 % (3019233)Peak memory usage: 95 MB
% 25.64/4.73 % (3019233)Instructions burned: 130 (million)
% 25.64/4.73 % (3019232)Instruction limit reached!
% 25.64/4.73 % (3019232)------------------------------
% 25.64/4.73 % (3019232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.64/4.73 % (3019232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.64/4.73 % (3019232)CaDiCaL version: 2.1.3
% 25.64/4.73 % (3019232)Termination reason: Instruction limit
% 25.64/4.73 % (3019232)Termination phase: Preprocessing 3
% 25.64/4.73 % (3019232)Time elapsed: 0.151 s
% 25.64/4.73 % (3019232)Peak memory usage: 95 MB
% 25.64/4.73 % (3019232)Instructions burned: 139 (million)
% 25.64/4.73 % (3019243)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2950241794:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 25.64/4.73 % (3019242)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1182004045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 25.64/4.73 % (3019241)lrs+10_1_sil=8000:sp=occurrence:random_seed=325519651:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 25.64/4.73 % (3019244)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=225860920:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 25.64/4.73 % (3019242)Instruction limit reached!
% 36.45/6.25 % (3019242)------------------------------
% 36.45/6.25 % (3019242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019242)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019242)Termination reason: Instruction limit
% 36.45/6.25 % (3019242)Termination phase: Saturation
% 36.45/6.25 % (3019242)Time elapsed: 0.150 s
% 36.45/6.25 % (3019242)Peak memory usage: 95 MB
% 36.45/6.25 % (3019242)Instructions burned: 157 (million)
% 36.45/6.25 % (3019241)Instruction limit reached!
% 36.45/6.25 % (3019241)------------------------------
% 36.45/6.25 % (3019241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019241)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019241)Termination reason: Instruction limit
% 36.45/6.25 % (3019241)Termination phase: Saturation
% 36.45/6.25 % (3019241)Time elapsed: 0.307 s
% 36.45/6.25 % (3019241)Peak memory usage: 98 MB
% 36.45/6.25 % (3019241)Instructions burned: 286 (million)
% 36.45/6.25 % (3019244)Instruction limit reached!
% 36.45/6.25 % (3019244)------------------------------
% 36.45/6.25 % (3019244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019244)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019244)Termination reason: Instruction limit
% 36.45/6.25 % (3019244)Termination phase: Property scanning
% 36.45/6.25 % (3019244)Time elapsed: 0.259 s
% 36.45/6.25 % (3019244)Peak memory usage: 100 MB
% 36.45/6.25 % (3019244)Instructions burned: 250 (million)
% 36.45/6.25 % (3019243)Instruction limit reached!
% 36.45/6.25 % (3019243)------------------------------
% 36.45/6.25 % (3019243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019243)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019243)Termination reason: Instruction limit
% 36.45/6.25 % (3019243)Termination phase: Saturation
% 36.45/6.25 % (3019243)Time elapsed: 0.336 s
% 36.45/6.25 % (3019243)Peak memory usage: 97 MB
% 36.45/6.25 % (3019243)Instructions burned: 326 (million)
% 36.45/6.25 % (3019249)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2079433771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 36.45/6.25 % (3019250)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3462764786:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 36.45/6.25 % (3019251)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1404327278:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 36.45/6.25 % (3019252)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=118912953:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 36.45/6.25 % (3019249)Instruction limit reached!
% 36.45/6.25 % (3019249)------------------------------
% 36.45/6.25 % (3019249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019249)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019249)Termination reason: Instruction limit
% 36.45/6.25 % (3019249)Termination phase: Saturation
% 36.45/6.25 % (3019249)Time elapsed: 0.287 s
% 36.45/6.25 % (3019249)Peak memory usage: 99 MB
% 36.45/6.25 % (3019249)Instructions burned: 294 (million)
% 36.45/6.25 % (3019251)Instruction limit reached!
% 36.45/6.25 % (3019251)------------------------------
% 36.45/6.25 % (3019251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019251)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019251)Termination reason: Instruction limit
% 36.45/6.25 % (3019251)Termination phase: Saturation
% 36.45/6.25 % (3019251)Time elapsed: 0.117 s
% 36.45/6.25 % (3019251)Peak memory usage: 95 MB
% 36.45/6.25 % (3019251)Instructions burned: 113 (million)
% 36.45/6.25 % (3019252)Instruction limit reached!
% 36.45/6.25 % (3019252)------------------------------
% 36.45/6.25 % (3019252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.45/6.25 % (3019252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.45/6.25 % (3019252)CaDiCaL version: 2.1.3
% 36.45/6.25 % (3019252)Termination reason: Instruction limit
% 66.67/11.67 % (3019252)Termination phase: Preprocessing 3
% 66.67/11.67 % (3019252)Time elapsed: 0.135 s
% 66.67/11.67 % (3019252)Peak memory usage: 97 MB
% 66.67/11.67 % (3019252)Instructions burned: 127 (million)
% 66.67/11.67 % (3019258)lrs+10_1_sil=8000:sp=occurrence:random_seed=663891412:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 66.67/11.67 % (3019257)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=419508633:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 66.67/11.67 % (3019260)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2746616749:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 66.67/11.67 % (3019257)Instruction limit reached!
% 66.67/11.67 % (3019257)------------------------------
% 66.67/11.67 % (3019257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019257)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019257)Termination reason: Instruction limit
% 66.67/11.67 % (3019257)Termination phase: SInE selection
% 66.67/11.67 % (3019257)Time elapsed: 0.096 s
% 66.67/11.67 % (3019257)Peak memory usage: 90 MB
% 66.67/11.67 % (3019257)Instructions burned: 114 (million)
% 66.67/11.67 % (3019265)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3441616126:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 66.67/11.67 % (3019260)Instruction limit reached!
% 66.67/11.67 % (3019260)------------------------------
% 66.67/11.67 % (3019260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019260)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019260)Termination reason: Instruction limit
% 66.67/11.67 % (3019260)Termination phase: Saturation
% 66.67/11.67 % (3019260)Time elapsed: 0.411 s
% 66.67/11.67 % (3019260)Peak memory usage: 96 MB
% 66.67/11.67 % (3019260)Instructions burned: 437 (million)
% 66.67/11.67 % (3019267)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4039868633:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 66.67/11.67 % (3019267)Instruction limit reached!
% 66.67/11.67 % (3019267)------------------------------
% 66.67/11.67 % (3019267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019267)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019267)Termination reason: Instruction limit
% 66.67/11.67 % (3019267)Termination phase: Saturation
% 66.67/11.67 % (3019267)Time elapsed: 0.134 s
% 66.67/11.67 % (3019267)Peak memory usage: 96 MB
% 66.67/11.67 % (3019267)Instructions burned: 135 (million)
% 66.67/11.67 % (3019258)Instruction limit reached!
% 66.67/11.67 % (3019258)------------------------------
% 66.67/11.67 % (3019258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019258)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019258)Termination reason: Instruction limit
% 66.67/11.67 % (3019258)Termination phase: Saturation
% 66.67/11.67 % (3019258)Time elapsed: 0.992 s
% 66.67/11.67 % (3019258)Peak memory usage: 106 MB
% 66.67/11.67 % (3019258)Instructions burned: 908 (million)
% 66.67/11.67 % (3019269)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1378026775:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 66.67/11.67 % (3019270)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=177603083:st=3:i=13193:sd=3:ss=axioms_2972 on theBenchmark for (2972ds/13193Mi)
% 66.67/11.67 % (3019269)Instruction limit reached!
% 66.67/11.67 % (3019269)------------------------------
% 66.67/11.67 % (3019269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019269)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019269)Termination reason: Instruction limit
% 66.67/11.67 % (3019269)Termination phase: Saturation
% 66.67/11.67 % (3019269)Time elapsed: 0.535 s
% 66.67/11.67 % (3019269)Peak memory usage: 106 MB
% 66.67/11.67 % (3019269)Instructions burned: 593 (million)
% 66.67/11.67 % (3019273)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=530673103:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 66.67/11.67 % (3019250)Instruction limit reached!
% 66.67/11.67 % (3019250)------------------------------
% 66.67/11.67 % (3019250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019250)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019250)Termination reason: Instruction limit
% 66.67/11.67 % (3019250)Termination phase: Saturation
% 66.67/11.67 % (3019250)Time elapsed: 2.379 s
% 66.67/11.67 % (3019250)Peak memory usage: 239 MB
% 66.67/11.67 % (3019250)Instructions burned: 2350 (million)
% 66.67/11.67 % (3019273)Instruction limit reached!
% 66.67/11.67 % (3019273)------------------------------
% 66.67/11.67 % (3019273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019273)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019273)Termination reason: Instruction limit
% 66.67/11.67 % (3019273)Termination phase: Property scanning
% 66.67/11.67 % (3019273)Time elapsed: 0.126 s
% 66.67/11.67 % (3019273)Peak memory usage: 93 MB
% 66.67/11.67 % (3019273)Instructions burned: 125 (million)
% 66.67/11.67 % (3019275)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1931664595:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 66.67/11.67 % (3019275)Instruction limit reached!
% 66.67/11.67 % (3019275)------------------------------
% 66.67/11.67 % (3019275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019275)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019275)Termination reason: Instruction limit
% 66.67/11.67 % (3019275)Termination phase: Preprocessing 1
% 66.67/11.67 % (3019275)Time elapsed: 0.109 s
% 66.67/11.67 % (3019275)Peak memory usage: 90 MB
% 66.67/11.67 % (3019275)Instructions burned: 135 (million)
% 66.67/11.67 % (3019276)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3811450994:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 66.67/11.67 % (3019276)Instruction limit reached!
% 66.67/11.67 % (3019276)------------------------------
% 66.67/11.67 % (3019276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019276)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019276)Termination reason: Instruction limit
% 66.67/11.67 % (3019276)Termination phase: Saturation
% 66.67/11.67 % (3019276)Time elapsed: 0.139 s
% 66.67/11.67 % (3019276)Peak memory usage: 95 MB
% 66.67/11.67 % (3019276)Instructions burned: 141 (million)
% 66.67/11.67 % (3019278)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2976134077:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2958 on theBenchmark for (2958ds/431Mi)
% 66.67/11.67 % (3019280)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=257734572:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 66.67/11.67 % (3019278)Instruction limit reached!
% 66.67/11.67 % (3019278)------------------------------
% 66.67/11.67 % (3019278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019278)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019278)Termination reason: Instruction limit
% 66.67/11.67 % (3019278)Termination phase: Saturation
% 66.67/11.67 % (3019278)Time elapsed: 0.406 s
% 66.67/11.67 % (3019278)Peak memory usage: 99 MB
% 66.67/11.67 % (3019278)Instructions burned: 432 (million)
% 66.67/11.67 % (3019283)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3594383719:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 66.67/11.67 % (3019283)Instruction limit reached!
% 66.67/11.67 % (3019283)------------------------------
% 66.67/11.67 % (3019283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019283)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019283)Termination reason: Instruction limit
% 66.67/11.67 % (3019283)Termination phase: Preprocessing 3
% 66.67/11.67 % (3019283)Time elapsed: 0.165 s
% 66.67/11.67 % (3019283)Peak memory usage: 97 MB
% 66.67/11.67 % (3019283)Instructions burned: 150 (million)
% 66.67/11.67 % (3019285)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1764682310:i=14155:bd=all_2946 on theBenchmark for (2946ds/14155Mi)
% 66.67/11.67 % (3019265)Instruction limit reached!
% 66.67/11.67 % (3019265)------------------------------
% 66.67/11.67 % (3019265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019265)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019265)Termination reason: Instruction limit
% 66.67/11.67 % (3019265)Termination phase: Saturation
% 66.67/11.67 % (3019265)Time elapsed: 3.753 s
% 66.67/11.67 % (3019265)Peak memory usage: 161 MB
% 66.67/11.67 % (3019265)Instructions burned: 5204 (million)
% 66.67/11.67 % (3019287)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2551594624:i=667:av=off:fsr=off_2940 on theBenchmark for (2940ds/667Mi)
% 66.67/11.67 % (3019287)Instruction limit reached!
% 66.67/11.67 % (3019287)------------------------------
% 66.67/11.67 % (3019287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019287)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019287)Termination reason: Instruction limit
% 66.67/11.67 % (3019287)Termination phase: Saturation
% 66.67/11.67 % (3019287)Time elapsed: 0.614 s
% 66.67/11.67 % (3019287)Peak memory usage: 107 MB
% 66.67/11.67 % (3019287)Instructions burned: 668 (million)
% 66.67/11.67 % (3019291)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4266245990:s2a=on:i=185:s2at=1.8:fdi=4_2931 on theBenchmark for (2931ds/185Mi)
% 66.67/11.67 % (3019291)Instruction limit reached!
% 66.67/11.67 % (3019291)------------------------------
% 66.67/11.67 % (3019291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019291)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019291)Termination reason: Instruction limit
% 66.67/11.67 % (3019291)Termination phase: NewCNF
% 66.67/11.67 % (3019291)Time elapsed: 0.202 s
% 66.67/11.67 % (3019291)Peak memory usage: 99 MB
% 66.67/11.67 % (3019291)Instructions burned: 185 (million)
% 66.67/11.67 % (3019293)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4234687458:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2926 on theBenchmark for (2926ds/193Mi)
% 66.67/11.67 % (3019293)Instruction limit reached!
% 66.67/11.67 % (3019293)------------------------------
% 66.67/11.67 % (3019293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019293)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019293)Termination reason: Instruction limit
% 66.67/11.67 % (3019293)Termination phase: Saturation
% 66.67/11.67 % (3019293)Time elapsed: 0.197 s
% 66.67/11.67 % (3019293)Peak memory usage: 99 MB
% 66.67/11.67 % (3019293)Instructions burned: 193 (million)
% 66.67/11.67 % (3019295)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4069089848:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2922 on theBenchmark for (2922ds/4850Mi)
% 66.67/11.67 % (3019270)First to succeed.
% 66.67/11.67 % (3019270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3019220"
% 66.67/11.67 % (3019280)Instruction limit reached!
% 66.67/11.67 % (3019280)------------------------------
% 66.67/11.67 % (3019280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.67/11.67 % (3019280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.67/11.67 % (3019280)CaDiCaL version: 2.1.3
% 66.67/11.67 % (3019280)Termination reason: Instruction limit
% 66.67/11.67 % (3019280)Termination phase: Saturation
% 66.67/11.67 % (3019280)Time elapsed: 5.838 s
% 66.67/11.67 % (3019280)Peak memory usage: 241 MB
% 66.67/11.67 % (3019280)Instructions burned: 6060 (million)
% 66.67/11.67 % (3019270)Refutation found. Thanks to Tanya!
% 66.67/11.67 % SZS status Theorem for theBenchmark
% 66.67/11.67 % SZS output start Proof for theBenchmark
% See solution above
% 75.34/11.89 % (3019270)------------------------------
% 75.34/11.89 % (3019270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.34/11.89 % (3019270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.34/11.89 % (3019270)CaDiCaL version: 2.1.3
% 75.34/11.89 % (3019270)Termination reason: Refutation
% 75.34/11.89 % (3019270)Time elapsed: 7.156 s
% 75.34/11.89 % (3019270)Peak memory usage: 205 MB
% 75.34/11.89 % (3019270)Instructions burned: 7028 (million)
% 75.34/11.89 % (3019270)------------------------------
% 75.34/11.89 % (3019270)------------------------------
% 75.34/11.89 % (3019220)Success in time 10.721 s
% 75.34/11.89 % Vampire exiting
%------------------------------------------------------------------------------