%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP044+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:34:04 PM UTC 2026
% Result : Theorem 25.25s 4.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 43
% Syntax : Number of formulae : 519 ( 62 unt; 28 def)
% Number of atoms : 3235 ( 210 equ)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 4698 (1982 ~;2437 |; 205 &)
% ( 38 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 48 ( 46 usr; 29 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 679 ( 0 sgn 655 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& v2_waybel_0(X4,k3_yellow_1(X2))
& v13_waybel_0(X4,k3_yellow_1(X2))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& v2_waybel_0(X5,k3_yellow_1(X3))
& v13_waybel_0(X5,k3_yellow_1(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X3)))) )
=> ( X4 = X5
=> k1_waybel33(X0,X2,X4) = k1_waybel33(X1,X3,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& v2_waybel_0(X4,k3_yellow_1(X2))
& v13_waybel_0(X4,k3_yellow_1(X2))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& v2_waybel_0(X5,k3_yellow_1(X3))
& v13_waybel_0(X5,k3_yellow_1(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X3)))) )
=> ( X4 = X5
=> k1_waybel33(X0,X2,X4) = k1_waybel33(X1,X3,X5) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f20,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f32,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f33,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v2_waybel_0(X2,k3_yellow_1(X1))
& v13_waybel_0(X2,k3_yellow_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) )
=> k1_waybel33(X0,X1,X2) = k1_yellow_0(X0,a_3_0_waybel33(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_waybel33) ).
fof(f34,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f48,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f66,axiom,
! [X0,X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3)
& v2_waybel_0(X3,k3_yellow_1(X2))
& v13_waybel_0(X3,k3_yellow_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
=> ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_0_waybel33) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3)
& v2_waybel_0(X3,k3_yellow_1(X2))
& v13_waybel_0(X3,k3_yellow_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
=> ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_1_waybel33) ).
fof(f68,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f98,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f100,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( r1_yellow_0(X0,X1)
& r2_yellow_0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_yellow_0) ).
fof(f103,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> ! [X2] :
( r1_yellow_0(X0,X2)
=> k1_yellow_0(X0,X2) = k1_yellow_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_yellow_0) ).
fof(f104,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> ! [X2] :
( r2_yellow_0(X0,X2)
=> k2_yellow_0(X0,X2) = k2_yellow_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_yellow_0) ).
fof(f109,axiom,
! [X0] : u1_struct_0(k3_yellow_1(X0)) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f112,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k1_waybel33(X0,X2,X4) != k1_waybel33(X1,X3,X5)
& X4 = X5
& ~ v1_xboole_0(X5)
& v2_waybel_0(X5,k3_yellow_1(X3))
& v13_waybel_0(X5,k3_yellow_1(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X3)))) )
& ~ v1_xboole_0(X4)
& v2_waybel_0(X4,k3_yellow_1(X2))
& v13_waybel_0(X4,k3_yellow_1(X2))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k1_waybel33(X0,X2,X4) != k1_waybel33(X1,X3,X5)
& X4 = X5
& ~ v1_xboole_0(X5)
& v2_waybel_0(X5,k3_yellow_1(X3))
& v13_waybel_0(X5,k3_yellow_1(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X3)))) )
& ~ v1_xboole_0(X4)
& v2_waybel_0(X4,k3_yellow_1(X2))
& v13_waybel_0(X4,k3_yellow_1(X2))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f115]) ).
fof(f144,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f145,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f144]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_waybel33(X0,X1,X2) = k1_yellow_0(X0,a_3_0_waybel33(X0,X1,X2))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_waybel33(X0,X1,X2) = k1_yellow_0(X0,a_3_0_waybel33(X0,X1,X2))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f178,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,X1)
& r2_yellow_0(X0,X1) )
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,X1)
& r2_yellow_0(X0,X1) )
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f206]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_yellow_0(X0,X2) = k1_yellow_0(X1,X2)
| ~ r1_yellow_0(X0,X2) )
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_yellow_0(X0,X2) = k1_yellow_0(X1,X2)
| ~ r1_yellow_0(X0,X2) )
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f211]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_yellow_0(X0,X2) = k2_yellow_0(X1,X2)
| ~ r2_yellow_0(X0,X2) )
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_yellow_0(X0,X2) = k2_yellow_0(X1,X2)
| ~ r2_yellow_0(X0,X2) )
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f213]) ).
fof(f222,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f226,plain,
( k1_waybel33(sK1,sK3,sK5) != k1_waybel33(sK2,sK4,sK6)
& sK5 = sK6
& ~ v1_xboole_0(sK6)
& v2_waybel_0(sK6,k3_yellow_1(sK4))
& v13_waybel_0(sK6,k3_yellow_1(sK4))
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(k3_yellow_1(sK4))))
& ~ v1_xboole_0(sK5)
& v2_waybel_0(sK5,k3_yellow_1(sK3))
& v13_waybel_0(sK5,k3_yellow_1(sK3))
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(sK3))))
& ~ v1_xboole_0(sK4)
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& v2_lattice3(sK2)
& v3_lattice3(sK2)
& l1_orders_2(sK2)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& v2_lattice3(sK1)
& v3_lattice3(sK1)
& l1_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f116]) ).
fof(f227,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f228,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f230,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f229]) ).
fof(f231,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK7(X0,X1),X1)
& r2_hidden(sK7(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f230]) ).
fof(f238,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) )
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(nnf_transformation,[],[f191]) ).
fof(f239,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
& k2_yellow_0(X1,X5) = X0
& r2_hidden(X5,X3) )
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(rectify,[],[f238]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ( m1_subset_1(sK13(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X1)))
& k2_yellow_0(X1,sK13(X0,X1,X3)) = X0
& r2_hidden(sK13(X0,X1,X3),X3) )
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3)) ) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X5,sK13(X0,X1,X3))],[f239]) ).
fof(f241,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& X0 = k2_yellow_0(X1,X4)
& r2_hidden(X4,X3) )
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3)) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(nnf_transformation,[],[f193]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
& k2_yellow_0(X1,X5) = X0
& r2_hidden(X5,X3) )
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3)) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3) ) )
& ( ( m1_subset_1(sK14(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X1)))
& k2_yellow_0(X1,sK14(X0,X1,X3)) = X0
& r2_hidden(sK14(X0,X1,X3),X3) )
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3)) ) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X5,sK14(X0,X1,X3))],[f242]) ).
fof(f273,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f277,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f278,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f279,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f280,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f281,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f282,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f283,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f226]) ).
fof(f284,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f285,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f286,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f288,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f289,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f290,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f291,plain,
g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)),
inference(cnf_transformation,[],[f226]) ).
fof(f292,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f226]) ).
fof(f293,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f226]) ).
fof(f294,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f226]) ).
fof(f295,plain,
~ v1_xboole_0(sK4),
inference(cnf_transformation,[],[f226]) ).
fof(f296,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(k3_yellow_1(sK3)))),
inference(cnf_transformation,[],[f226]) ).
fof(f297,plain,
v13_waybel_0(sK5,k3_yellow_1(sK3)),
inference(cnf_transformation,[],[f226]) ).
fof(f298,plain,
v2_waybel_0(sK5,k3_yellow_1(sK3)),
inference(cnf_transformation,[],[f226]) ).
fof(f299,plain,
~ v1_xboole_0(sK5),
inference(cnf_transformation,[],[f226]) ).
fof(f300,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(k3_yellow_1(sK4)))),
inference(cnf_transformation,[],[f226]) ).
fof(f301,plain,
v13_waybel_0(sK6,k3_yellow_1(sK4)),
inference(cnf_transformation,[],[f226]) ).
fof(f302,plain,
v2_waybel_0(sK6,k3_yellow_1(sK4)),
inference(cnf_transformation,[],[f226]) ).
fof(f304,plain,
sK5 = sK6,
inference(cnf_transformation,[],[f226]) ).
fof(f305,plain,
k1_waybel33(sK1,sK3,sK5) != k1_waybel33(sK2,sK4,sK6),
inference(cnf_transformation,[],[f226]) ).
fof(f351,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f412,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f228]) ).
fof(f413,plain,
! [X2,X0,X1] :
( k1_waybel33(X0,X1,X2) = k1_yellow_0(X0,a_3_0_waybel33(X0,X1,X2))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f415,plain,
! [X0,X1] :
( r2_hidden(sK7(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f416,plain,
! [X0,X1] :
( ~ r2_hidden(sK7(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f426,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK13(X0,X1,X3),X3)
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f240]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( k2_yellow_0(X1,sK13(X0,X1,X3)) = X0
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f240]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK13(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f240]) ).
fof(f499,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f240]) ).
fof(f500,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK14(X0,X1,X3),X3)
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f501,plain,
! [X2,X3,X0,X1] :
( k2_yellow_0(X1,sK14(X0,X1,X3)) = X0
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f502,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK14(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f503,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X2)))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f505,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f194]) ).
fof(f658,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f661,plain,
! [X0,X1] :
( r2_yellow_0(X0,X1)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f662,plain,
! [X0,X1] :
( r1_yellow_0(X0,X1)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f665,plain,
! [X2,X0,X1] :
( ~ r1_yellow_0(X0,X2)
| k1_yellow_0(X0,X2) = k1_yellow_0(X1,X2)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f666,plain,
! [X2,X0,X1] :
( ~ r2_yellow_0(X0,X2)
| k2_yellow_0(X0,X2) = k2_yellow_0(X1,X2)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f673,plain,
! [X0] : k1_zfmisc_1(X0) = u1_struct_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f109]) ).
fof(f676,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f678,plain,
k1_waybel33(sK2,sK4,sK6) != k1_waybel33(sK1,sK3,sK6),
inference(definition_unfolding,[],[f305,f304]) ).
fof(f679,plain,
m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))),
inference(definition_unfolding,[],[f300,f673]) ).
fof(f680,plain,
~ v1_xboole_0(sK6),
inference(definition_unfolding,[],[f299,f304]) ).
fof(f681,plain,
v2_waybel_0(sK6,k3_yellow_1(sK3)),
inference(definition_unfolding,[],[f298,f304]) ).
fof(f682,plain,
v13_waybel_0(sK6,k3_yellow_1(sK3)),
inference(definition_unfolding,[],[f297,f304]) ).
fof(f683,plain,
m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))),
inference(definition_unfolding,[],[f296,f304,f673]) ).
fof(f684,plain,
m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK2)))),
inference(definition_unfolding,[],[f294,f673]) ).
fof(f685,plain,
m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(sK1)))),
inference(definition_unfolding,[],[f292,f673]) ).
fof(f690,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| k1_waybel33(X0,X1,X2) = k1_yellow_0(X0,a_3_0_waybel33(X0,X1,X2)) ),
inference(definition_unfolding,[],[f413,f673,f673]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f499,f673,f673,f673]) ).
fof(f695,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| m1_subset_1(sK13(X0,X1,X3),u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f498,f673,f673,f673]) ).
fof(f696,plain,
! [X2,X3,X0,X1] :
( ~ v2_orders_2(X1)
| ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| v3_struct_0(X1)
| k2_yellow_0(X1,sK13(X0,X1,X3)) = X0
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f497,f673,f673]) ).
fof(f697,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(X1,X2,X3))
| r2_hidden(sK13(X0,X1,X3),X3)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f496,f673,f673]) ).
fof(f698,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| k2_yellow_0(X1,X4) != X0
| ~ r2_hidden(X4,X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f503,f673,f673,f673]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| m1_subset_1(sK14(X0,X1,X3),u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f502,f673,f673,f673]) ).
fof(f700,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X1)
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| k2_yellow_0(X1,sK14(X0,X1,X3)) = X0
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f501,f673,f673]) ).
fof(f701,plain,
! [X2,X3,X0,X1] :
( ~ v2_orders_2(X1)
| ~ r2_hidden(X0,a_3_1_waybel33(X1,X2,X3))
| r2_hidden(sK14(X0,X1,X3),X3)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(definition_unfolding,[],[f500,f673,f673]) ).
fof(f718,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k2_yellow_0(X1,X4),a_3_0_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ r2_hidden(X4,X3)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(equality_resolution,[],[f694]) ).
fof(f719,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k2_yellow_0(X1,X4),a_3_1_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ r2_hidden(X4,X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(equality_resolution,[],[f698]) ).
fof(f720,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k2_yellow_0(X1,X4),a_3_1_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ r2_hidden(X4,X3)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(forward_subsumption_resolution,[],[f719,f676]) ).
fof(f721,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k2_yellow_0(X1,X4),a_3_0_waybel33(X1,X2,X3))
| ~ m1_subset_1(X4,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ r2_hidden(X4,X3)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(X1))))
| ~ v2_waybel_0(X3,k3_yellow_1(X2))
| ~ v13_waybel_0(X3,k3_yellow_1(X2))
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
inference(forward_subsumption_resolution,[],[f718,f676]) ).
fof(f725,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0)) ),
inference(resolution,[],[f284,f690]) ).
fof(f726,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f725,f290]) ).
fof(f728,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f726,f289]) ).
fof(f730,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v3_struct_0(sK2)
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f728,f288]) ).
fof(f733,definition,
( spl45_1
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).
fof(f734,plain,
( v3_struct_0(sK2)
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f736,definition,
( spl45_2
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ v2_waybel_0(X0,k3_yellow_1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| k1_waybel33(sK2,X1,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,X1,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ v2_waybel_0(X0,k3_yellow_1(X1)) )
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f738,plain,
( spl45_1
| spl45_2 ),
inference(avatar_split_clause,[],[f730,f736,f733]) ).
fof(f742,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f277,f700]) ).
fof(f743,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0)) ),
inference(resolution,[],[f277,f690]) ).
fof(f744,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f743,f283]) ).
fof(f745,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f742,f283]) ).
fof(f746,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f744,f282]) ).
fof(f747,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f745,f282]) ).
fof(f748,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(X1))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK1)
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f746,f281]) ).
fof(f749,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f747,f281]) ).
fof(f751,definition,
( spl45_3
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl45_3])],[avatar_definition]) ).
fof(f752,plain,
( v3_struct_0(sK1)
| ~ spl45_3 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f754,definition,
( spl45_4
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ v2_waybel_0(X0,k3_yellow_1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition]) ).
fof(f755,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| k1_waybel33(sK1,X1,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,X1,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X0,k3_yellow_1(X1))
| ~ v2_waybel_0(X0,k3_yellow_1(X1)) )
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f756,plain,
( spl45_3
| spl45_4 ),
inference(avatar_split_clause,[],[f748,f754,f751]) ).
fof(f757,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f749,f280]) ).
fof(f758,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| ~ v3_lattice3(sK1)
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f757,f279]) ).
fof(f759,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| k2_yellow_0(sK1,sK14(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f758,f278]) ).
fof(f798,plain,
( ! [X0] :
( k1_waybel33(sK2,sK4,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,X0))
| v1_xboole_0(X0)
| v1_xboole_0(sK4)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ v13_waybel_0(X0,k3_yellow_1(sK4))
| ~ v2_waybel_0(X0,k3_yellow_1(sK4)) )
| ~ spl45_2 ),
inference(resolution,[],[f737,f684]) ).
fof(f799,plain,
( ! [X0] :
( ~ v13_waybel_0(X0,k3_yellow_1(sK4))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| k1_waybel33(sK2,sK4,X0) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,X0))
| ~ v2_waybel_0(X0,k3_yellow_1(sK4)) )
| ~ spl45_2 ),
inference(forward_subsumption_resolution,[],[f798,f295]) ).
fof(f800,plain,
( v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ spl45_2 ),
inference(resolution,[],[f799,f301]) ).
fof(f801,plain,
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ spl45_2 ),
inference(forward_subsumption_resolution,[],[f800,f680]) ).
fof(f802,plain,
( k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ spl45_2 ),
inference(forward_subsumption_resolution,[],[f801,f679]) ).
fof(f803,plain,
( k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK2,a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_2 ),
inference(forward_subsumption_resolution,[],[f802,f302]) ).
fof(f805,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| v3_struct_0(sK2)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f290,f696]) ).
fof(f806,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| v3_struct_0(sK2)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f805,f289]) ).
fof(f808,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| v3_struct_0(sK2)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f806,f288]) ).
fof(f810,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| v3_struct_0(sK2)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f808,f284]) ).
fof(f813,definition,
( spl45_5
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X1)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl45_5])],[avatar_definition]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_3_0_waybel33(sK2,X1,X2))
| v1_xboole_0(X1)
| k2_yellow_0(sK2,sK13(X0,sK2,X2)) = X0 )
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f815,plain,
( spl45_1
| spl45_5 ),
inference(avatar_split_clause,[],[f810,f813,f733]) ).
fof(f819,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ v13_waybel_0(X0,k3_yellow_1(sK4))
| ~ v2_waybel_0(X0,k3_yellow_1(sK4))
| v1_xboole_0(X0)
| ~ r2_hidden(X1,a_3_0_waybel33(sK2,sK4,X0))
| v1_xboole_0(sK4)
| k2_yellow_0(sK2,sK13(X1,sK2,X0)) = X1 )
| ~ spl45_5 ),
inference(resolution,[],[f814,f684]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(X0,k3_yellow_1(sK4))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ v2_waybel_0(X0,k3_yellow_1(sK4))
| v1_xboole_0(X0)
| ~ r2_hidden(X1,a_3_0_waybel33(sK2,sK4,X0))
| k2_yellow_0(sK2,sK13(X1,sK2,X0)) = X1 )
| ~ spl45_5 ),
inference(forward_subsumption_resolution,[],[f819,f295]) ).
fof(f821,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK2,sK4,sK6))
| k2_yellow_0(sK2,sK13(X0,sK2,sK6)) = X0 )
| ~ spl45_5 ),
inference(resolution,[],[f820,f301]) ).
fof(f822,plain,
( ! [X0] :
( ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK2,sK4,sK6))
| k2_yellow_0(sK2,sK13(X0,sK2,sK6)) = X0 )
| ~ spl45_5 ),
inference(forward_subsumption_resolution,[],[f821,f679]) ).
fof(f823,plain,
( ! [X0] :
( v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK2,sK4,sK6))
| k2_yellow_0(sK2,sK13(X0,sK2,sK6)) = X0 )
| ~ spl45_5 ),
inference(forward_subsumption_resolution,[],[f822,f302]) ).
fof(f824,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK2,sK4,sK6))
| k2_yellow_0(sK2,sK13(X0,sK2,sK6)) = X0 )
| ~ spl45_5 ),
inference(forward_subsumption_resolution,[],[f823,f680]) ).
fof(f839,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f283,f701]) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| v3_struct_0(sK1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f283,f696]) ).
fof(f841,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f839,f282]) ).
fof(f842,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f841,f281]) ).
fof(f843,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f842,f280]) ).
fof(f844,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f843,f279]) ).
fof(f845,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| r2_hidden(sK14(X0,sK1,X2),X2)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f844,f278]) ).
fof(f846,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r2_hidden(sK14(X0,sK1,X2),X2)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,X1,X2))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f845,f277]) ).
fof(f866,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK13(k2_yellow_0(X0,X1),X0,X2),X2)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X3))
| ~ v13_waybel_0(X2,k3_yellow_1(X3))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X3)))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ r2_hidden(X1,X2)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(X2,k3_yellow_1(X3))
| ~ v13_waybel_0(X2,k3_yellow_1(X3))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X3))))) ),
inference(resolution,[],[f697,f721]) ).
fof(f867,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK13(k2_yellow_0(X0,X1),X0,X2),X2)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X3))
| ~ v13_waybel_0(X2,k3_yellow_1(X3))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X3)))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ r2_hidden(X1,X2) ),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f868,plain,
! [X2,X3,X0,X1] :
( ~ v2_orders_2(X0)
| v3_struct_0(X0)
| r2_hidden(sK13(k2_yellow_0(X0,X1),X0,X2),X2)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(X2,k3_yellow_1(X3))
| ~ v13_waybel_0(X2,k3_yellow_1(X3))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X3)))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ r2_hidden(X1,X2) ),
inference(forward_subsumption_resolution,[],[f867,f676]) ).
fof(f941,plain,
! [X2,X0,X1] :
( k2_yellow_0(X0,X1) = k2_yellow_0(X2,X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f666,f661]) ).
fof(f942,plain,
! [X2,X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
| k2_yellow_0(X0,X1) = k2_yellow_0(X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f941]) ).
fof(f943,plain,
! [X2,X0,X1] :
( v3_struct_0(sK2)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f868,f290]) ).
fof(f945,plain,
! [X2,X0,X1] :
( k1_yellow_0(X0,X1) = k1_yellow_0(X2,X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f665,f662]) ).
fof(f946,plain,
! [X2,X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
| k1_yellow_0(X0,X1) = k1_yellow_0(X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f945]) ).
fof(f992,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl45_3 ),
inference(resolution,[],[f351,f752]) ).
fof(f993,plain,
( ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl45_1 ),
inference(resolution,[],[f351,f734]) ).
fof(f996,plain,
( ~ l1_orders_2(sK2)
| ~ spl45_1 ),
inference(forward_subsumption_resolution,[],[f993,f286]) ).
fof(f997,plain,
( ~ l1_orders_2(sK1)
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f992,f279]) ).
fof(f998,plain,
( $false
| ~ spl45_1 ),
inference(forward_subsumption_resolution,[],[f996,f284]) ).
fof(f999,plain,
~ spl45_1,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1000,plain,
( $false
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f997,f277]) ).
fof(f1001,plain,
~ spl45_3,
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1002,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| v3_struct_0(sK1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f840,f282]) ).
fof(f1006,plain,
! [X2,X0,X1] :
( v3_struct_0(sK2)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f943,f289]) ).
fof(f1007,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| v3_struct_0(sK1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0
| ~ l1_orders_2(sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f1002,f281]) ).
fof(f1011,plain,
! [X2,X0,X1] :
( v3_struct_0(sK2)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1006,f288]) ).
fof(f1012,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| v3_struct_0(sK1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(forward_subsumption_resolution,[],[f1007,f277]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( v3_struct_0(sK2)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1011,f284]) ).
fof(f1018,definition,
( spl45_7
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl45_7])],[avatar_definition]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_3_0_waybel33(sK1,X1,X2))
| v1_xboole_0(X1)
| k2_yellow_0(sK1,sK13(X0,sK1,X2)) = X0 )
| ~ spl45_7 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1020,plain,
( spl45_3
| spl45_7 ),
inference(avatar_split_clause,[],[f1012,f1018,f751]) ).
fof(f1034,definition,
( spl45_11
<=> ! [X2,X0,X1] :
( r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2)))) ) ),
introduced(definition,[new_symbols(definition,[spl45_11])],[avatar_definition]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| v1_xboole_0(X2)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1) )
| ~ spl45_11 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1036,plain,
( spl45_11
| spl45_1 ),
inference(avatar_split_clause,[],[f1016,f733,f1034]) ).
fof(f1037,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| ~ v13_waybel_0(X0,k3_yellow_1(sK3))
| ~ v2_waybel_0(X0,k3_yellow_1(sK3))
| v1_xboole_0(X0)
| ~ r2_hidden(X1,a_3_0_waybel33(sK1,sK3,X0))
| v1_xboole_0(sK3)
| k2_yellow_0(sK1,sK13(X1,sK1,X0)) = X1 )
| ~ spl45_7 ),
inference(resolution,[],[f1019,f685]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(X0,k3_yellow_1(sK3))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| ~ v2_waybel_0(X0,k3_yellow_1(sK3))
| v1_xboole_0(X0)
| ~ r2_hidden(X1,a_3_0_waybel33(sK1,sK3,X0))
| k2_yellow_0(sK1,sK13(X1,sK1,X0)) = X1 )
| ~ spl45_7 ),
inference(forward_subsumption_resolution,[],[f1037,f293]) ).
fof(f1039,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK1,sK3,sK6))
| k2_yellow_0(sK1,sK13(X0,sK1,sK6)) = X0 )
| ~ spl45_7 ),
inference(resolution,[],[f1038,f682]) ).
fof(f1040,plain,
( ! [X0] :
( ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK1,sK3,sK6))
| k2_yellow_0(sK1,sK13(X0,sK1,sK6)) = X0 )
| ~ spl45_7 ),
inference(forward_subsumption_resolution,[],[f1039,f683]) ).
fof(f1041,plain,
( ! [X0] :
( v1_xboole_0(sK6)
| ~ r2_hidden(X0,a_3_0_waybel33(sK1,sK3,sK6))
| k2_yellow_0(sK1,sK13(X0,sK1,sK6)) = X0 )
| ~ spl45_7 ),
inference(forward_subsumption_resolution,[],[f1040,f681]) ).
fof(f1042,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_3_0_waybel33(sK1,sK3,sK6))
| k2_yellow_0(sK1,sK13(X0,sK1,sK6)) = X0 )
| ~ spl45_7 ),
inference(forward_subsumption_resolution,[],[f1041,f680]) ).
fof(f1057,plain,
( ! [X0] :
( k1_waybel33(sK1,sK3,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,X0))
| v1_xboole_0(X0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| ~ v13_waybel_0(X0,k3_yellow_1(sK3))
| ~ v2_waybel_0(X0,k3_yellow_1(sK3)) )
| ~ spl45_4 ),
inference(resolution,[],[f755,f685]) ).
fof(f1058,plain,
( ! [X0] :
( ~ v13_waybel_0(X0,k3_yellow_1(sK3))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| k1_waybel33(sK1,sK3,X0) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,X0))
| ~ v2_waybel_0(X0,k3_yellow_1(sK3)) )
| ~ spl45_4 ),
inference(forward_subsumption_resolution,[],[f1057,f293]) ).
fof(f1059,plain,
( v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| k1_waybel33(sK1,sK3,sK6) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| ~ spl45_4 ),
inference(resolution,[],[f1058,f682]) ).
fof(f1060,plain,
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| k1_waybel33(sK1,sK3,sK6) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| ~ spl45_4 ),
inference(forward_subsumption_resolution,[],[f1059,f680]) ).
fof(f1061,plain,
( k1_waybel33(sK1,sK3,sK6) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| ~ spl45_4 ),
inference(forward_subsumption_resolution,[],[f1060,f683]) ).
fof(f1062,plain,
( k1_waybel33(sK1,sK3,sK6) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_4 ),
inference(forward_subsumption_resolution,[],[f1061,f681]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| v1_xboole_0(sK4)
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1) )
| ~ spl45_11 ),
inference(resolution,[],[f1035,f684]) ).
fof(f1069,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ r2_hidden(X0,X1)
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,X1),X1) )
| ~ spl45_11 ),
inference(forward_subsumption_resolution,[],[f1068,f295]) ).
fof(f1070,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ r2_hidden(X0,sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,sK6),sK6) )
| ~ spl45_11 ),
inference(resolution,[],[f1069,f301]) ).
fof(f1071,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,sK6),sK6) )
| ~ spl45_11 ),
inference(forward_subsumption_resolution,[],[f1070,f679]) ).
fof(f1072,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r2_hidden(sK13(k2_yellow_0(sK2,X0),sK2,sK6),sK6) )
| ~ spl45_11 ),
inference(forward_subsumption_resolution,[],[f1071,f302]) ).
fof(f1113,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_lattice3(sK2) ),
inference(superposition,[],[f942,f291]) ).
fof(f1118,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_lattice3(sK2) ),
inference(forward_subsumption_resolution,[],[f1113,f284]) ).
fof(f1119,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2)
| ~ v3_lattice3(sK2) ),
inference(forward_subsumption_resolution,[],[f1118,f288]) ).
fof(f1120,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f1119,f285]) ).
fof(f1122,definition,
( spl45_17
<=> ! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ l1_orders_2(X0)
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl45_17])],[avatar_definition]) ).
fof(f1123,plain,
( ! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ l1_orders_2(X0)
| k2_yellow_0(X0,X1) = k2_yellow_0(sK2,X1) )
| ~ spl45_17 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1124,plain,
( spl45_1
| spl45_17 ),
inference(avatar_split_clause,[],[f1120,f1122,f733]) ).
fof(f1125,plain,
( ! [X0] :
( ~ l1_orders_2(sK1)
| k2_yellow_0(sK2,X0) = k2_yellow_0(sK1,X0) )
| ~ spl45_17 ),
inference(equality_resolution,[],[f1123]) ).
fof(f1126,plain,
( ! [X0] : k2_yellow_0(sK2,X0) = k2_yellow_0(sK1,X0)
| ~ spl45_17 ),
inference(forward_subsumption_resolution,[],[f1125,f277]) ).
fof(f1127,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X2)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) )
| ~ spl45_17 ),
inference(superposition,[],[f721,f1126]) ).
fof(f1130,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X2)
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) )
| ~ spl45_17 ),
inference(forward_subsumption_resolution,[],[f1127,f290]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X2)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) )
| ~ spl45_17 ),
inference(forward_subsumption_resolution,[],[f1130,f289]) ).
fof(f1134,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X2)
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) )
| ~ spl45_17 ),
inference(forward_subsumption_resolution,[],[f1132,f288]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ r2_hidden(X0,X2)
| v3_struct_0(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) )
| ~ spl45_17 ),
inference(forward_subsumption_resolution,[],[f1134,f284]) ).
fof(f1139,definition,
( spl45_18
<=> ! [X2,X0,X1] :
( r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2)))) ) ),
introduced(definition,[new_symbols(definition,[spl45_18])],[avatar_definition]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
| ~ v13_waybel_0(X2,k3_yellow_1(X1))
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X1,X2)) )
| ~ spl45_18 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1141,plain,
( spl45_1
| spl45_18
| ~ spl45_17 ),
inference(avatar_split_clause,[],[f1136,f1122,f1139,f733]) ).
fof(f1181,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_lattice3(sK2) ),
inference(superposition,[],[f946,f291]) ).
fof(f1186,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_lattice3(sK2) ),
inference(forward_subsumption_resolution,[],[f1181,f284]) ).
fof(f1187,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2)
| ~ v3_lattice3(sK2) ),
inference(forward_subsumption_resolution,[],[f1186,f288]) ).
fof(f1188,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1)
| ~ l1_orders_2(X0)
| v3_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f1187,f285]) ).
fof(f1190,definition,
( spl45_20
<=> ! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ l1_orders_2(X0)
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl45_20])],[avatar_definition]) ).
fof(f1191,plain,
( ! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ l1_orders_2(X0)
| k1_yellow_0(X0,X1) = k1_yellow_0(sK2,X1) )
| ~ spl45_20 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1192,plain,
( spl45_1
| spl45_20 ),
inference(avatar_split_clause,[],[f1188,f1190,f733]) ).
fof(f1193,plain,
( ! [X0] :
( ~ l1_orders_2(sK1)
| k1_yellow_0(sK1,X0) = k1_yellow_0(sK2,X0) )
| ~ spl45_20 ),
inference(equality_resolution,[],[f1191]) ).
fof(f1194,plain,
( ! [X0] : k1_yellow_0(sK1,X0) = k1_yellow_0(sK2,X0)
| ~ spl45_20 ),
inference(forward_subsumption_resolution,[],[f1193,f277]) ).
fof(f1208,plain,
! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f658,f426]) ).
fof(f1210,plain,
! [X2,X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(X1,X2)
| ~ l1_orders_2(X0)
| u1_struct_0(X0) = X1 ),
inference(resolution,[],[f1208,f505]) ).
fof(f1212,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ l1_orders_2(X0)
| u1_struct_0(X0) = u1_struct_0(sK2) ),
inference(superposition,[],[f1210,f291]) ).
fof(f1219,plain,
( ~ l1_orders_2(sK1)
| u1_struct_0(sK2) = u1_struct_0(sK1) ),
inference(equality_resolution,[],[f1212]) ).
fof(f1220,plain,
u1_struct_0(sK2) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f1219,f277]) ).
fof(f1222,plain,
m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1)))),
inference(superposition,[],[f684,f1220]) ).
fof(f1230,plain,
( ! [X2,X0,X1] :
( ~ v13_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X2))
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X2)
| ~ r2_hidden(X0,X1)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,X2,X1)) )
| ~ spl45_18 ),
inference(superposition,[],[f1140,f1220]) ).
fof(f1267,plain,
! [X0,X1] :
( r2_hidden(sK14(X0,sK1,X1),X1)
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1222,f846]) ).
fof(f1268,plain,
! [X0,X1] :
( k2_yellow_0(sK1,sK14(X0,sK1,X1)) = X0
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1222,f759]) ).
fof(f1272,plain,
! [X0,X1] :
( ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| k2_yellow_0(sK1,sK14(X0,sK1,X1)) = X0
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1268,f295]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ v13_waybel_0(X1,k3_yellow_1(sK4))
| ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(sK4))
| r2_hidden(sK14(X0,sK1,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1267,f295]) ).
fof(f1277,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r2_hidden(sK14(X0,sK1,sK6),sK6)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1273,f301]) ).
fof(f1278,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r2_hidden(sK14(X0,sK1,sK6),sK6)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1277,f680]) ).
fof(f1279,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| r2_hidden(sK14(X0,sK1,sK6),sK6)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1278,f302]) ).
fof(f1280,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| r2_hidden(sK14(X0,sK1,sK6),sK6) ),
inference(forward_subsumption_resolution,[],[f1279,f679]) ).
fof(f1282,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| k2_yellow_0(sK1,sK14(X0,sK1,sK6)) = X0
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1272,f301]) ).
fof(f1283,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| k2_yellow_0(sK1,sK14(X0,sK1,sK6)) = X0
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1282,f680]) ).
fof(f1284,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| k2_yellow_0(sK1,sK14(X0,sK1,sK6)) = X0
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f1283,f302]) ).
fof(f1285,plain,
! [X0] :
( ~ r2_hidden(X0,a_3_1_waybel33(sK1,sK4,sK6))
| k2_yellow_0(sK1,sK14(X0,sK1,sK6)) = X0 ),
inference(forward_subsumption_resolution,[],[f1284,f679]) ).
fof(f1485,plain,
! [X2,X3,X0,X1] :
( ~ v13_waybel_0(X2,k3_yellow_1(X1))
| m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,X1,X2),X3),X0,X2),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| r1_tarski(a_3_0_waybel33(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f415,f695]) ).
fof(f1486,plain,
! [X2,X3,X0,X1] :
( ~ v13_waybel_0(X2,k3_yellow_1(X1))
| r2_hidden(sK13(sK7(a_3_0_waybel33(X0,X1,X2),X3),X0,X2),X2)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(X2)
| ~ v2_waybel_0(X2,k3_yellow_1(X1))
| r1_tarski(a_3_0_waybel33(X0,X1,X2),X3)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(resolution,[],[f415,f697]) ).
fof(f1488,plain,
( ! [X0] :
( r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0)
| sK7(a_3_0_waybel33(sK1,sK3,sK6),X0) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6)) )
| ~ spl45_7 ),
inference(resolution,[],[f415,f1042]) ).
fof(f1490,plain,
( ! [X0] :
( r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0)
| sK7(a_3_0_waybel33(sK2,sK4,sK6),X0) = k2_yellow_0(sK2,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6)) )
| ~ spl45_5 ),
inference(resolution,[],[f415,f824]) ).
fof(f1523,plain,
( ! [X0] :
( r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0)
| sK7(a_3_0_waybel33(sK2,sK4,sK6),X0) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6)) )
| ~ spl45_5
| ~ spl45_17 ),
inference(forward_demodulation,[],[f1490,f1126]) ).
fof(f1531,plain,
( ! [X0] :
( ~ r1_tarski(X0,a_3_0_waybel33(sK2,sK4,sK6))
| sK7(a_3_0_waybel33(sK2,sK4,sK6),X0) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6))
| a_3_0_waybel33(sK2,sK4,sK6) = X0 )
| ~ spl45_5
| ~ spl45_17 ),
inference(resolution,[],[f1523,f412]) ).
fof(f1532,plain,
( ! [X0] :
( ~ r1_tarski(X0,a_3_0_waybel33(sK1,sK3,sK6))
| sK7(a_3_0_waybel33(sK1,sK3,sK6),X0) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6))
| a_3_0_waybel33(sK1,sK3,sK6) = X0 )
| ~ spl45_7 ),
inference(resolution,[],[f1488,f412]) ).
fof(f1599,plain,
( sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6))
| a_3_0_waybel33(sK2,sK4,sK6) = a_3_0_waybel33(sK1,sK3,sK6)
| sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6))
| ~ spl45_5
| ~ spl45_7
| ~ spl45_17 ),
inference(resolution,[],[f1531,f1488]) ).
fof(f1613,definition,
( spl45_37
<=> sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6)) ),
introduced(definition,[new_symbols(definition,[spl45_37])],[avatar_definition]) ).
fof(f1614,plain,
( sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6))
| ~ spl45_37 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1616,definition,
( spl45_38
<=> a_3_0_waybel33(sK2,sK4,sK6) = a_3_0_waybel33(sK1,sK3,sK6) ),
introduced(definition,[new_symbols(definition,[spl45_38])],[avatar_definition]) ).
fof(f1617,plain,
( a_3_0_waybel33(sK2,sK4,sK6) = a_3_0_waybel33(sK1,sK3,sK6)
| ~ spl45_38 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1619,definition,
( spl45_39
<=> sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6)) ),
introduced(definition,[new_symbols(definition,[spl45_39])],[avatar_definition]) ).
fof(f1620,plain,
( sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6))
| ~ spl45_39 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1621,plain,
( spl45_37
| spl45_38
| spl45_39
| ~ spl45_5
| ~ spl45_7
| ~ spl45_17 ),
inference(avatar_split_clause,[],[f1599,f1122,f1018,f813,f1619,f1616,f1613]) ).
fof(f1682,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(superposition,[],[f720,f1614]) ).
fof(f1683,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1682,f283]) ).
fof(f1686,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1683,f282]) ).
fof(f1688,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1686,f281]) ).
fof(f1690,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1688,f280]) ).
fof(f1692,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1690,f279]) ).
fof(f1694,definition,
( spl45_52
<=> m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl45_52])],[avatar_definition]) ).
fof(f1695,plain,
( ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| spl45_52 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1700,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1692,f278]) ).
fof(f1701,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_37 ),
inference(forward_subsumption_resolution,[],[f1700,f277]) ).
fof(f1703,definition,
( spl45_54
<=> ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1) ) ),
introduced(definition,[new_symbols(definition,[spl45_54])],[avatar_definition]) ).
fof(f1704,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,X1)) )
| ~ spl45_54 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1705,plain,
( ~ spl45_52
| spl45_54
| ~ spl45_37 ),
inference(avatar_split_clause,[],[f1701,f1613,f1703,f1694]) ).
fof(f3206,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1486,f301]) ).
fof(f3207,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(resolution,[],[f1486,f682]) ).
fof(f3208,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f3207,f293]) ).
fof(f3209,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f3206,f295]) ).
fof(f3210,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f3208,f680]) ).
fof(f3211,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f3209,f680]) ).
fof(f3212,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f3210,f681]) ).
fof(f3213,plain,
! [X0,X1] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),sK6)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f3211,f302]) ).
fof(f3214,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),sK6)
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1) ),
inference(forward_subsumption_resolution,[],[f3212,f683]) ).
fof(f3215,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| r2_hidden(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),sK6)
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1) ),
inference(forward_subsumption_resolution,[],[f3213,f679]) ).
fof(f3218,plain,
! [X0] :
( ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(superposition,[],[f3215,f1220]) ).
fof(f3219,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3218,f1222]) ).
fof(f3222,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3219,f290]) ).
fof(f3225,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3222,f289]) ).
fof(f3228,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3225,f288]) ).
fof(f3231,plain,
! [X0] :
( v3_struct_0(sK2)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3228,f284]) ).
fof(f3237,definition,
( spl45_126
<=> ! [X0] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ) ),
introduced(definition,[new_symbols(definition,[spl45_126])],[avatar_definition]) ).
fof(f3238,plain,
( ! [X0] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) )
| ~ spl45_126 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f3240,plain,
( spl45_126
| spl45_1 ),
inference(avatar_split_clause,[],[f3231,f733,f3237]) ).
fof(f3301,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(resolution,[],[f3214,f685]) ).
fof(f3304,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3301,f283]) ).
fof(f3306,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3304,f282]) ).
fof(f3308,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3306,f281]) ).
fof(f3310,plain,
! [X0] :
( v3_struct_0(sK1)
| r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f3308,f277]) ).
fof(f3313,definition,
( spl45_127
<=> ! [X0] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ) ),
introduced(definition,[new_symbols(definition,[spl45_127])],[avatar_definition]) ).
fof(f3314,plain,
( ! [X0] :
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),sK6)
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) )
| ~ spl45_127 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f3315,plain,
( spl45_127
| spl45_3 ),
inference(avatar_split_clause,[],[f3310,f751,f3313]) ).
fof(f4507,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,sK6)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_18 ),
inference(resolution,[],[f1230,f301]) ).
fof(f5309,definition,
( spl45_215
<=> r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) ),
introduced(definition,[new_symbols(definition,[spl45_215])],[avatar_definition]) ).
fof(f5310,plain,
( ~ r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6))
| spl45_215 ),
inference(avatar_component_clause,[],[f5309]) ).
fof(f5315,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(superposition,[],[f721,f1620]) ).
fof(f5316,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(superposition,[],[f720,f1620]) ).
fof(f5317,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5316,f283]) ).
fof(f5318,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5315,f283]) ).
fof(f5320,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5317,f282]) ).
fof(f5321,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5318,f282]) ).
fof(f5322,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5320,f281]) ).
fof(f5323,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5321,f281]) ).
fof(f5324,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5322,f280]) ).
fof(f5325,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v3_struct_0(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5323,f277]) ).
fof(f5326,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5324,f279]) ).
fof(f5328,definition,
( spl45_216
<=> m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl45_216])],[avatar_definition]) ).
fof(f5329,plain,
( ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| spl45_216 ),
inference(avatar_component_clause,[],[f5328]) ).
fof(f5331,definition,
( spl45_217
<=> ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1) ) ),
introduced(definition,[new_symbols(definition,[spl45_217])],[avatar_definition]) ).
fof(f5332,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,X1)) )
| ~ spl45_217 ),
inference(avatar_component_clause,[],[f5331]) ).
fof(f5333,plain,
( spl45_3
| ~ spl45_216
| spl45_217
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f5325,f1619,f5331,f5328,f751]) ).
fof(f5334,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5326,f278]) ).
fof(f5335,plain,
( ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_39 ),
inference(forward_subsumption_resolution,[],[f5334,f277]) ).
fof(f5337,definition,
( spl45_218
<=> ! [X0,X1] :
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1) ) ),
introduced(definition,[new_symbols(definition,[spl45_218])],[avatar_definition]) ).
fof(f5338,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(X1,k3_yellow_1(X0))
| ~ v2_waybel_0(X1,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,X1)) )
| ~ spl45_218 ),
inference(avatar_component_clause,[],[f5337]) ).
fof(f5339,plain,
( ~ spl45_216
| spl45_218
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f5335,f1619,f5337,f5328]) ).
fof(f5347,plain,
( k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK2,a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_2
| ~ spl45_38 ),
inference(superposition,[],[f803,f1617]) ).
fof(f5448,plain,
( k1_waybel33(sK2,sK4,sK6) = k1_yellow_0(sK1,a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_2
| ~ spl45_20
| ~ spl45_38 ),
inference(forward_demodulation,[],[f5347,f1194]) ).
fof(f5480,plain,
( k1_waybel33(sK2,sK4,sK6) = k1_waybel33(sK1,sK3,sK6)
| ~ spl45_2
| ~ spl45_4
| ~ spl45_20
| ~ spl45_38 ),
inference(forward_demodulation,[],[f5448,f1062]) ).
fof(f5498,plain,
( $false
| ~ spl45_2
| ~ spl45_4
| ~ spl45_20
| ~ spl45_38 ),
inference(forward_subsumption_resolution,[],[f5480,f678]) ).
fof(f5499,plain,
( ~ spl45_2
| ~ spl45_4
| ~ spl45_20
| ~ spl45_38 ),
inference(avatar_contradiction_clause,[],[f5498]) ).
fof(f5734,plain,
( sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6))
| ~ spl45_5
| ~ spl45_17
| spl45_215 ),
inference(resolution,[],[f5310,f1523]) ).
fof(f6141,definition,
( spl45_233
<=> r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl45_233])],[avatar_definition]) ).
fof(f6142,plain,
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),sK6)
| ~ spl45_233 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f6151,plain,
( spl45_39
| ~ spl45_5
| ~ spl45_17
| spl45_215 ),
inference(avatar_split_clause,[],[f5734,f5309,f1122,f813,f1619]) ).
fof(f6369,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(sK6,k3_yellow_1(X0))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_54
| ~ spl45_127 ),
inference(resolution,[],[f1704,f3314]) ).
fof(f6371,plain,
( ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v13_waybel_0(sK6,k3_yellow_1(X0))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) )
| ~ spl45_126
| ~ spl45_218 ),
inference(resolution,[],[f5338,f3238]) ).
fof(f6439,plain,
( ! [X0] :
( ~ v13_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(X0)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,X0,sK6)) )
| ~ spl45_217
| ~ spl45_233 ),
inference(resolution,[],[f5332,f6142]) ).
fof(f6443,plain,
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3)))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK3)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(resolution,[],[f6439,f682]) ).
fof(f6444,plain,
( ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK3)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(forward_subsumption_resolution,[],[f6443,f683]) ).
fof(f6446,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK3)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(forward_subsumption_resolution,[],[f6444,f681]) ).
fof(f6448,plain,
( v1_xboole_0(sK3)
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(forward_subsumption_resolution,[],[f6446,f685]) ).
fof(f6450,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(forward_subsumption_resolution,[],[f6448,f293]) ).
fof(f6455,plain,
( r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_217
| ~ spl45_233 ),
inference(resolution,[],[f6450,f416]) ).
fof(f6469,plain,
( $false
| spl45_215
| ~ spl45_217
| ~ spl45_233 ),
inference(forward_subsumption_resolution,[],[f6455,f5310]) ).
fof(f6470,plain,
( spl45_215
| ~ spl45_217
| ~ spl45_233 ),
inference(avatar_contradiction_clause,[],[f6469]) ).
fof(f6487,definition,
( spl45_238
<=> r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl45_238])],[avatar_definition]) ).
fof(f6488,plain,
( r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_238 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f6519,definition,
( spl45_246
<=> ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ v13_waybel_0(sK6,k3_yellow_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl45_246])],[avatar_definition]) ).
fof(f6520,plain,
( ! [X0] :
( ~ v13_waybel_0(sK6,k3_yellow_1(X0))
| r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_246 ),
inference(avatar_component_clause,[],[f6519]) ).
fof(f6905,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(resolution,[],[f6520,f301]) ).
fof(f6908,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6905,f295]) ).
fof(f6910,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6908,f1222]) ).
fof(f6912,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6910,f302]) ).
fof(f6914,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6912,f679]) ).
fof(f6916,plain,
( sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) = k2_yellow_0(sK1,sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6))
| ~ spl45_246 ),
inference(resolution,[],[f6914,f1285]) ).
fof(f6917,plain,
( r2_hidden(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),sK6)
| ~ spl45_246 ),
inference(resolution,[],[f6914,f1280]) ).
fof(f6918,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(resolution,[],[f6914,f699]) ).
fof(f6921,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6918,f283]) ).
fof(f6922,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6921,f282]) ).
fof(f6923,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6922,f281]) ).
fof(f6924,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6923,f280]) ).
fof(f6925,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6924,f279]) ).
fof(f6926,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6925,f278]) ).
fof(f6927,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6926,f277]) ).
fof(f6928,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6927,f295]) ).
fof(f6929,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6928,f1222]) ).
fof(f6930,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6929,f680]) ).
fof(f6931,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6930,f302]) ).
fof(f6932,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6931,f301]) ).
fof(f6933,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f6932,f679]) ).
fof(f7026,plain,
( ~ r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6))
| a_3_0_waybel33(sK2,sK4,sK6) = a_3_0_waybel33(sK1,sK3,sK6)
| ~ spl45_238 ),
inference(resolution,[],[f6488,f412]) ).
fof(f7027,plain,
( spl45_38
| ~ spl45_215
| ~ spl45_238 ),
inference(avatar_split_clause,[],[f7026,f6487,f5309,f1616]) ).
fof(f8131,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(resolution,[],[f1485,f301]) ).
fof(f8132,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(resolution,[],[f1485,f682]) ).
fof(f8133,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f8132,f293]) ).
fof(f8134,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f8131,f295]) ).
fof(f8135,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK3))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f8133,f680]) ).
fof(f8136,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f8134,f680]) ).
fof(f8137,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK3))))) ),
inference(forward_subsumption_resolution,[],[f8135,f681]) ).
fof(f8138,plain,
! [X0,X1] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1)
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4))))) ),
inference(forward_subsumption_resolution,[],[f8136,f302]) ).
fof(f8139,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK3,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK3,sK6),X1) ),
inference(forward_subsumption_resolution,[],[f8137,f683]) ).
fof(f8140,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(X0,sK4,sK6),X1),X0,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(X0))))
| r1_tarski(a_3_0_waybel33(X0,sK4,sK6),X1) ),
inference(forward_subsumption_resolution,[],[f8138,f679]) ).
fof(f8141,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(resolution,[],[f8140,f684]) ).
fof(f8146,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f8141,f290]) ).
fof(f8149,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f8146,f289]) ).
fof(f8152,plain,
! [X0] :
( v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f8149,f288]) ).
fof(f8155,plain,
! [X0] :
( v3_struct_0(sK2)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f8152,f284]) ).
fof(f8161,plain,
! [X0] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v3_struct_0(sK2)
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ),
inference(forward_demodulation,[],[f8155,f1220]) ).
fof(f8163,definition,
( spl45_317
<=> ! [X0] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) ) ),
introduced(definition,[new_symbols(definition,[spl45_317])],[avatar_definition]) ).
fof(f8164,plain,
( ! [X0] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),X0),sK2,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),X0) )
| ~ spl45_317 ),
inference(avatar_component_clause,[],[f8163]) ).
fof(f8166,plain,
( spl45_1
| spl45_317 ),
inference(avatar_split_clause,[],[f8161,f8163,f733]) ).
fof(f9289,plain,
( r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6))
| spl45_216
| ~ spl45_317 ),
inference(resolution,[],[f8164,f5329]) ).
fof(f9547,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(resolution,[],[f8139,f685]) ).
fof(f9550,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f9547,f283]) ).
fof(f9552,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f9550,f282]) ).
fof(f9554,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f9552,f281]) ).
fof(f9556,plain,
! [X0] :
( v3_struct_0(sK1)
| m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ),
inference(forward_subsumption_resolution,[],[f9554,f277]) ).
fof(f9559,definition,
( spl45_333
<=> ! [X0] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) ) ),
introduced(definition,[new_symbols(definition,[spl45_333])],[avatar_definition]) ).
fof(f9560,plain,
( ! [X0] :
( m1_subset_1(sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),X0),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),X0) )
| ~ spl45_333 ),
inference(avatar_component_clause,[],[f9559]) ).
fof(f9561,plain,
( spl45_333
| spl45_3 ),
inference(avatar_split_clause,[],[f9556,f751,f9559]) ).
fof(f9567,plain,
( r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6))
| spl45_52
| ~ spl45_333 ),
inference(resolution,[],[f9560,f1695]) ).
fof(f9678,plain,
( spl45_238
| spl45_52
| ~ spl45_333 ),
inference(avatar_split_clause,[],[f9567,f9559,f1694,f6487]) ).
fof(f9774,plain,
( spl45_238
| spl45_246
| ~ spl45_54
| ~ spl45_127 ),
inference(avatar_split_clause,[],[f6369,f3313,f1703,f6519,f6487]) ).
fof(f9793,plain,
( ~ r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6))
| spl45_238 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f10120,plain,
( r1_tarski(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6))
| ~ spl45_215 ),
inference(avatar_component_clause,[],[f5309]) ).
fof(f10126,definition,
( spl45_355
<=> ! [X0] :
( ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0)))))
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ v13_waybel_0(sK6,k3_yellow_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl45_355])],[avatar_definition]) ).
fof(f10127,plain,
( ! [X0] :
( ~ v13_waybel_0(sK6,k3_yellow_1(X0))
| r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,X0,sK6))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(X0))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X0))))) )
| ~ spl45_355 ),
inference(avatar_component_clause,[],[f10126]) ).
fof(f10128,plain,
( spl45_215
| spl45_355
| ~ spl45_126
| ~ spl45_218 ),
inference(avatar_split_clause,[],[f6371,f5337,f3237,f10126,f5309]) ).
fof(f11437,plain,
( ~ r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),sK6)
| spl45_233 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f11463,definition,
( spl45_438
<=> m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl45_438])],[avatar_definition]) ).
fof(f11464,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ spl45_438 ),
inference(avatar_component_clause,[],[f11463]) ).
fof(f11701,plain,
( sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)) = k2_yellow_0(sK1,sK13(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6))
| a_3_0_waybel33(sK2,sK4,sK6) = a_3_0_waybel33(sK1,sK3,sK6)
| ~ spl45_7
| ~ spl45_215 ),
inference(resolution,[],[f10120,f1532]) ).
fof(f11704,plain,
( spl45_38
| spl45_37
| ~ spl45_7
| ~ spl45_215 ),
inference(avatar_split_clause,[],[f11701,f5309,f1018,f1613,f1616]) ).
fof(f13699,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,sK6)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_18 ),
inference(forward_subsumption_resolution,[],[f4507,f679]) ).
fof(f13733,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,sK6)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_18 ),
inference(forward_subsumption_resolution,[],[f13699,f302]) ).
fof(f13753,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ r2_hidden(X0,sK6)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_18 ),
inference(forward_subsumption_resolution,[],[f13733,f1222]) ).
fof(f13775,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ r2_hidden(X0,sK6)
| r2_hidden(k2_yellow_0(sK1,X0),a_3_0_waybel33(sK2,sK4,sK6)) )
| ~ spl45_18 ),
inference(forward_subsumption_resolution,[],[f13753,f295]) ).
fof(f14000,plain,
( ~ r2_hidden(sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6),sK6)
| r2_hidden(k2_yellow_0(sK1,sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6)),a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_18
| ~ spl45_246 ),
inference(resolution,[],[f13775,f6933]) ).
fof(f14001,plain,
( r2_hidden(k2_yellow_0(sK1,sK14(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),sK1,sK6)),a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_18
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f14000,f6917]) ).
fof(f14018,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6)),a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_18
| ~ spl45_246 ),
inference(forward_demodulation,[],[f14001,f6916]) ).
fof(f14023,plain,
( r1_tarski(a_3_0_waybel33(sK1,sK3,sK6),a_3_0_waybel33(sK2,sK4,sK6))
| ~ spl45_18
| ~ spl45_246 ),
inference(resolution,[],[f14018,f416]) ).
fof(f14033,plain,
( $false
| ~ spl45_18
| spl45_238
| ~ spl45_246 ),
inference(forward_subsumption_resolution,[],[f14023,f9793]) ).
fof(f14034,plain,
( ~ spl45_18
| spl45_238
| ~ spl45_246 ),
inference(avatar_contradiction_clause,[],[f14033]) ).
fof(f15521,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(resolution,[],[f10127,f301]) ).
fof(f15524,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15521,f295]) ).
fof(f15526,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15524,f1222]) ).
fof(f15528,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15526,f302]) ).
fof(f15530,plain,
( r2_hidden(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),a_3_1_waybel33(sK1,sK4,sK6))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15528,f679]) ).
fof(f15531,plain,
( sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)) = k2_yellow_0(sK1,sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6))
| ~ spl45_355 ),
inference(resolution,[],[f15530,f1285]) ).
fof(f15532,plain,
( r2_hidden(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),sK6)
| ~ spl45_355 ),
inference(resolution,[],[f15530,f1280]) ).
fof(f15533,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(resolution,[],[f15530,f699]) ).
fof(f15536,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15533,f283]) ).
fof(f15537,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15536,f282]) ).
fof(f15538,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15537,f281]) ).
fof(f15539,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15538,f280]) ).
fof(f15540,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15539,f279]) ).
fof(f15541,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ l1_orders_2(sK1)
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15540,f278]) ).
fof(f15542,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15541,f277]) ).
fof(f15543,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(sK4,u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15542,f295]) ).
fof(f15544,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| v1_xboole_0(sK6)
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15543,f1222]) ).
fof(f15545,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v2_waybel_0(sK6,k3_yellow_1(sK4))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15544,f680]) ).
fof(f15546,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ v13_waybel_0(sK6,k3_yellow_1(sK4))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15545,f302]) ).
fof(f15547,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ m1_subset_1(sK6,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(sK4)))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15546,f301]) ).
fof(f15548,plain,
( m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| ~ spl45_355 ),
inference(forward_subsumption_resolution,[],[f15547,f679]) ).
fof(f15549,plain,
( spl45_438
| ~ spl45_355 ),
inference(avatar_split_clause,[],[f15548,f10126,f11463]) ).
fof(f15577,plain,
( ~ m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK2))))
| r2_hidden(sK13(k2_yellow_0(sK2,sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6)),sK2,sK6),sK6)
| ~ spl45_11
| ~ spl45_355 ),
inference(resolution,[],[f15532,f1072]) ).
fof(f15590,plain,
( ~ m1_subset_1(sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6),u1_struct_0(k3_yellow_1(u1_struct_0(sK1))))
| r2_hidden(sK13(k2_yellow_0(sK2,sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6)),sK2,sK6),sK6)
| ~ spl45_11
| ~ spl45_355 ),
inference(forward_demodulation,[],[f15577,f1220]) ).
fof(f15600,plain,
( r2_hidden(sK13(k2_yellow_0(sK2,sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6)),sK2,sK6),sK6)
| ~ spl45_11
| ~ spl45_355
| ~ spl45_438 ),
inference(forward_subsumption_resolution,[],[f15590,f11464]) ).
fof(f15609,plain,
( r2_hidden(sK13(k2_yellow_0(sK1,sK14(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK1,sK6)),sK2,sK6),sK6)
| ~ spl45_11
| ~ spl45_17
| ~ spl45_355
| ~ spl45_438 ),
inference(forward_demodulation,[],[f15600,f1126]) ).
fof(f15615,plain,
( r2_hidden(sK13(sK7(a_3_0_waybel33(sK2,sK4,sK6),a_3_0_waybel33(sK1,sK3,sK6)),sK2,sK6),sK6)
| ~ spl45_11
| ~ spl45_17
| ~ spl45_355
| ~ spl45_438 ),
inference(forward_demodulation,[],[f15609,f15531]) ).
fof(f15618,plain,
( $false
| ~ spl45_11
| ~ spl45_17
| spl45_233
| ~ spl45_355
| ~ spl45_438 ),
inference(forward_subsumption_resolution,[],[f15615,f11437]) ).
fof(f15619,plain,
( ~ spl45_11
| ~ spl45_17
| spl45_233
| ~ spl45_355
| ~ spl45_438 ),
inference(avatar_contradiction_clause,[],[f15618]) ).
fof(f15621,plain,
( $false
| spl45_215
| spl45_216
| ~ spl45_317 ),
inference(forward_subsumption_resolution,[],[f9289,f5310]) ).
fof(f15622,plain,
( spl45_215
| spl45_216
| ~ spl45_317 ),
inference(avatar_contradiction_clause,[],[f15621]) ).
cnf(s1,plain,
( spl45_1
| spl45_2 ),
inference(sat_conversion,[],[f738]) ).
cnf(s2,plain,
( spl45_3
| spl45_4 ),
inference(sat_conversion,[],[f756]) ).
cnf(s3,plain,
( spl45_1
| spl45_5 ),
inference(sat_conversion,[],[f815]) ).
cnf(s7,plain,
~ spl45_1,
inference(sat_conversion,[],[f999]) ).
cnf(s8,plain,
~ spl45_3,
inference(sat_conversion,[],[f1001]) ).
cnf(s9,plain,
( spl45_3
| spl45_7 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s13,plain,
( spl45_1
| spl45_11 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s17,plain,
( spl45_1
| spl45_17 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s18,plain,
( spl45_1
| ~ spl45_17
| spl45_18 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s20,plain,
( spl45_1
| spl45_20 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s30,plain,
( ~ spl45_5
| ~ spl45_7
| ~ spl45_17
| spl45_37
| spl45_38
| spl45_39 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s37,plain,
( ~ spl45_37
| ~ spl45_52
| spl45_54 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s104,plain,
( spl45_1
| spl45_126 ),
inference(sat_conversion,[],[f3240]) ).
cnf(s105,plain,
( spl45_3
| spl45_127 ),
inference(sat_conversion,[],[f3315]) ).
cnf(s205,plain,
( spl45_3
| ~ spl45_39
| ~ spl45_216
| spl45_217 ),
inference(sat_conversion,[],[f5333]) ).
cnf(s206,plain,
( ~ spl45_39
| ~ spl45_216
| spl45_218 ),
inference(sat_conversion,[],[f5339]) ).
cnf(s211,plain,
( ~ spl45_2
| ~ spl45_4
| ~ spl45_20
| ~ spl45_38 ),
inference(sat_conversion,[],[f5499]) ).
cnf(s234,plain,
( ~ spl45_5
| ~ spl45_17
| spl45_39
| spl45_215 ),
inference(sat_conversion,[],[f6151]) ).
cnf(s242,plain,
( spl45_215
| ~ spl45_217
| ~ spl45_233 ),
inference(sat_conversion,[],[f6470]) ).
cnf(s307,plain,
( spl45_38
| ~ spl45_215
| ~ spl45_238 ),
inference(sat_conversion,[],[f7027]) ).
cnf(s361,plain,
( spl45_1
| spl45_317 ),
inference(sat_conversion,[],[f8166]) ).
cnf(s399,plain,
( spl45_3
| spl45_333 ),
inference(sat_conversion,[],[f9561]) ).
cnf(s423,plain,
( spl45_52
| spl45_238
| ~ spl45_333 ),
inference(sat_conversion,[],[f9678]) ).
cnf(s431,plain,
( ~ spl45_54
| ~ spl45_127
| spl45_238
| spl45_246 ),
inference(sat_conversion,[],[f9774]) ).
cnf(s447,plain,
( ~ spl45_126
| spl45_215
| ~ spl45_218
| spl45_355 ),
inference(sat_conversion,[],[f10128]) ).
cnf(s558,plain,
( ~ spl45_7
| spl45_37
| spl45_38
| ~ spl45_215 ),
inference(sat_conversion,[],[f11704]) ).
cnf(s717,plain,
( ~ spl45_18
| spl45_238
| ~ spl45_246 ),
inference(sat_conversion,[],[f14034]) ).
cnf(s793,plain,
( ~ spl45_355
| spl45_438 ),
inference(sat_conversion,[],[f15549]) ).
cnf(s795,plain,
( ~ spl45_11
| ~ spl45_17
| spl45_233
| ~ spl45_355
| ~ spl45_438 ),
inference(sat_conversion,[],[f15619]) ).
cnf(s796,plain,
( spl45_215
| spl45_216
| ~ spl45_317 ),
inference(sat_conversion,[],[f15622]) ).
cnf(s799,plain,
spl45_333,
inference(rat,[],[s399,s8]) ).
cnf(s801,plain,
spl45_127,
inference(rat,[],[s105,s8]) ).
cnf(s806,plain,
spl45_7,
inference(rat,[],[s9,s8]) ).
cnf(s814,plain,
spl45_317,
inference(rat,[],[s361,s7]) ).
cnf(s816,plain,
spl45_126,
inference(rat,[],[s104,s7]) ).
cnf(s817,plain,
spl45_20,
inference(rat,[],[s20,s7]) ).
cnf(s818,plain,
spl45_17,
inference(rat,[],[s17,s7]) ).
cnf(s819,plain,
spl45_11,
inference(rat,[],[s13,s7]) ).
cnf(s821,plain,
spl45_18,
inference(rat,[],[s18,s7,s818]) ).
cnf(s824,plain,
spl45_5,
inference(rat,[],[s3,s7]) ).
cnf(s828,plain,
spl45_4,
inference(rat,[],[s2,s8]) ).
cnf(s831,plain,
spl45_2,
inference(rat,[],[s1,s7]) ).
cnf(s832,plain,
~ spl45_38,
inference(rat,[],[s211,s828,s817,s831]) ).
cnf(s835,plain,
spl45_37,
inference(rat,[],[s795,s793,s242,s447,s205,s206,s796,s30,s558,s818,s819,s816,s8,s814,s806,s824,s832]) ).
cnf(s837,plain,
( spl45_215
| ~ spl45_39 ),
inference(rat,[],[s795,s793,s242,s447,s205,s206,s796,s818,s819,s816,s8,s814]) ).
cnf(s838,plain,
spl45_238,
inference(rat,[],[s37,s431,s423,s717,s835,s801,s799,s821]) ).
cnf(s839,plain,
~ spl45_215,
inference(rat,[],[s307,s832,s838]) ).
cnf(s841,plain,
spl45_39,
inference(rat,[],[s234,s824,s818,s839]) ).
cnf(s842,plain,
$false,
inference(rat,[],[s837,s841,s839]) ).
fof(f15623,plain,
$false,
inference(avatar_sat_refutation,[],[s842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP044+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:04:54 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.60/2.58 % (2532223)Detected formulas, will run a generic FOF schedule.
% 12.60/2.58 % (2532420)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1352281293:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.60/2.58 % (2532420)Refutation not found, incomplete strategy
% 12.60/2.58 % (2532420)------------------------------
% 12.60/2.58 % (2532420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.58 % (2532420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.58 % (2532420)CaDiCaL version: 2.1.3
% 12.60/2.58 % (2532420)Termination reason: Refutation not found, incomplete strategy
% 12.60/2.58 % (2532420)Time elapsed: 0.002 s
% 12.60/2.58 % (2532420)Peak memory usage: 88 MB
% 12.60/2.58 % (2532420)Instructions burned: 4 (million)
% 12.60/2.58 % (2532419)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4039179439:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.60/2.58 % (2532417)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=656315435:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.60/2.58 % (2532418)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=821553802:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.60/2.58 % (2532416)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=3142512076:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.60/2.58 % (2532419)Refutation not found, incomplete strategy
% 12.60/2.58 % (2532419)------------------------------
% 12.60/2.58 % (2532419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.58 % (2532419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.58 % (2532419)CaDiCaL version: 2.1.3
% 12.60/2.58 % (2532419)Termination reason: Refutation not found, incomplete strategy
% 12.60/2.58 % (2532419)Time elapsed: 0.003 s
% 12.60/2.58 % (2532419)Peak memory usage: 89 MB
% 12.60/2.58 % (2532419)Instructions burned: 3 (million)
% 12.60/2.58 % (2532421)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1487046482:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.60/2.58 % (2532422)dis-21_1_sil=8000:lcm=predicate:random_seed=3075174377:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.60/2.58 % (2532422)Instruction limit reached!
% 12.60/2.58 % (2532422)------------------------------
% 12.60/2.58 % (2532422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.58 % (2532422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.58 % (2532422)CaDiCaL version: 2.1.3
% 12.60/2.58 % (2532422)Termination reason: Instruction limit
% 12.60/2.58 % (2532422)Termination phase: Saturation
% 12.60/2.58 % (2532422)Time elapsed: 0.076 s
% 12.60/2.58 % (2532422)Peak memory usage: 91 MB
% 12.60/2.58 % (2532422)Instructions burned: 129 (million)
% 12.60/2.58 % (2532421)Instruction limit reached!
% 12.60/2.58 % (2532421)------------------------------
% 12.60/2.58 % (2532421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.58 % (2532421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.58 % (2532421)CaDiCaL version: 2.1.3
% 12.60/2.58 % (2532421)Termination reason: Instruction limit
% 12.60/2.58 % (2532421)Termination phase: Saturation
% 12.60/2.58 % (2532421)Time elapsed: 0.086 s
% 12.60/2.58 % (2532421)Peak memory usage: 90 MB
% 12.60/2.58 % (2532421)Instructions burned: 140 (million)
% 12.60/2.58 % (2532420)------------------------------
% 12.60/2.58 % (2532420)------------------------------
% 12.60/2.58 % (2532432)lrs+1011_1_sil=32000:sp=occurrence:random_seed=869635256:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.60/2.58 % (2532430)lrs+10_1_sil=8000:sp=occurrence:random_seed=1560540870:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.60/2.58 % (2532431)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3270180966:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.60/2.58 % (2532419)------------------------------
% 12.60/2.58 % (2532419)------------------------------
% 12.60/2.58 % (2532431)Instruction limit reached!
% 12.60/2.58 % (2532431)------------------------------
% 22.42/3.96 % (2532431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532431)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532431)Termination reason: Instruction limit
% 22.42/3.96 % (2532431)Termination phase: Saturation
% 22.42/3.96 % (2532431)Time elapsed: 0.086 s
% 22.42/3.96 % (2532431)Peak memory usage: 90 MB
% 22.42/3.96 % (2532431)Instructions burned: 158 (million)
% 22.42/3.96 % (2532432)Instruction limit reached!
% 22.42/3.96 % (2532432)------------------------------
% 22.42/3.96 % (2532432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532432)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532432)Termination reason: Instruction limit
% 22.42/3.96 % (2532432)Termination phase: Saturation
% 22.42/3.96 % (2532432)Time elapsed: 0.097 s
% 22.42/3.96 % (2532432)Peak memory usage: 91 MB
% 22.42/3.96 % (2532432)Instructions burned: 325 (million)
% 22.42/3.96 % (2532430)Instruction limit reached!
% 22.42/3.96 % (2532430)------------------------------
% 22.42/3.96 % (2532430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532430)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532430)Termination reason: Instruction limit
% 22.42/3.96 % (2532430)Termination phase: Saturation
% 22.42/3.96 % (2532430)Time elapsed: 0.157 s
% 22.42/3.96 % (2532430)Peak memory usage: 92 MB
% 22.42/3.96 % (2532430)Instructions burned: 286 (million)
% 22.42/3.96 % (2532463)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=1748505524:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 22.42/3.96 % (2532495)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2781806960:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 22.42/3.96 % (2532490)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=512404065:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 22.42/3.96 % (2532463)Instruction limit reached!
% 22.42/3.96 % (2532463)------------------------------
% 22.42/3.96 % (2532463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532463)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532463)Termination reason: Instruction limit
% 22.42/3.96 % (2532463)Termination phase: Saturation
% 22.42/3.96 % (2532463)Time elapsed: 0.145 s
% 22.42/3.96 % (2532463)Peak memory usage: 92 MB
% 22.42/3.96 % (2532463)Instructions burned: 248 (million)
% 22.42/3.96 % (2532515)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2396755067:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 22.42/3.96 % (2532490)Instruction limit reached!
% 22.42/3.96 % (2532490)------------------------------
% 22.42/3.96 % (2532490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532490)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532490)Termination reason: Instruction limit
% 22.42/3.96 % (2532490)Termination phase: Saturation
% 22.42/3.96 % (2532490)Time elapsed: 0.160 s
% 22.42/3.96 % (2532490)Peak memory usage: 89 MB
% 22.42/3.96 % (2532490)Instructions burned: 294 (million)
% 22.42/3.96 % (2532515)Instruction limit reached!
% 22.42/3.96 % (2532515)------------------------------
% 22.42/3.96 % (2532515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.42/3.96 % (2532515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.96 % (2532515)CaDiCaL version: 2.1.3
% 22.42/3.96 % (2532515)Termination reason: Instruction limit
% 22.42/3.96 % (2532515)Termination phase: Saturation
% 22.42/3.96 % (2532515)Time elapsed: 0.064 s
% 22.42/3.96 % (2532515)Peak memory usage: 90 MB
% 22.42/3.96 % (2532515)Instructions burned: 115 (million)
% 22.42/3.96 % (2532559)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2232198295:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 22.42/3.96 % (2532575)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1136871680:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 22.42/3.96 % (2532559)Instruction limit reached!
% 25.25/4.27 % (2532559)------------------------------
% 25.25/4.27 % (2532559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532559)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532559)Termination reason: Instruction limit
% 25.25/4.27 % (2532559)Termination phase: Saturation
% 25.25/4.27 % (2532559)Time elapsed: 0.065 s
% 25.25/4.27 % (2532559)Peak memory usage: 89 MB
% 25.25/4.27 % (2532559)Instructions burned: 129 (million)
% 25.25/4.27 % (2532576)lrs+10_1_sil=8000:sp=occurrence:random_seed=1984338095:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 25.25/4.27 % (2532575)Instruction limit reached!
% 25.25/4.27 % (2532575)------------------------------
% 25.25/4.27 % (2532575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532575)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532575)Termination reason: Instruction limit
% 25.25/4.27 % (2532575)Termination phase: Saturation
% 25.25/4.27 % (2532575)Time elapsed: 0.067 s
% 25.25/4.27 % (2532575)Peak memory usage: 89 MB
% 25.25/4.27 % (2532575)Instructions burned: 115 (million)
% 25.25/4.27 % (2532579)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3088578209:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 25.25/4.27 % (2532581)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3782785252:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 25.25/4.27 % (2532579)Instruction limit reached!
% 25.25/4.27 % (2532579)------------------------------
% 25.25/4.27 % (2532579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532579)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532579)Termination reason: Instruction limit
% 25.25/4.27 % (2532579)Termination phase: Saturation
% 25.25/4.27 % (2532579)Time elapsed: 0.298 s
% 25.25/4.27 % (2532579)Peak memory usage: 91 MB
% 25.25/4.27 % (2532579)Instructions burned: 439 (million)
% 25.25/4.27 % (2532495)Instruction limit reached!
% 25.25/4.27 % (2532495)------------------------------
% 25.25/4.27 % (2532495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532495)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532495)Termination reason: Instruction limit
% 25.25/4.27 % (2532495)Termination phase: Saturation
% 25.25/4.27 % (2532495)Time elapsed: 0.803 s
% 25.25/4.27 % (2532495)Peak memory usage: 140 MB
% 25.25/4.27 % (2532495)Instructions burned: 2350 (million)
% 25.25/4.27 % (2532576)Instruction limit reached!
% 25.25/4.27 % (2532576)------------------------------
% 25.25/4.27 % (2532576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532576)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532576)Termination reason: Instruction limit
% 25.25/4.27 % (2532576)Termination phase: Saturation
% 25.25/4.27 % (2532576)Time elapsed: 0.608 s
% 25.25/4.27 % (2532576)Peak memory usage: 94 MB
% 25.25/4.27 % (2532576)Instructions burned: 907 (million)
% 25.25/4.27 % (2532606)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=353711030:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 25.25/4.27 % (2532604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2896748074:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 25.25/4.27 % (2532604)Instruction limit reached!
% 25.25/4.27 % (2532604)------------------------------
% 25.25/4.27 % (2532604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532604)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532604)Termination reason: Instruction limit
% 25.25/4.27 % (2532604)Termination phase: Saturation
% 25.25/4.27 % (2532604)Time elapsed: 0.122 s
% 25.25/4.27 % (2532604)Peak memory usage: 91 MB
% 25.25/4.27 % (2532604)Instructions burned: 134 (million)
% 25.25/4.27 % (2532610)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1572711972:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 25.25/4.27 % (2532606)Instruction limit reached!
% 25.25/4.27 % (2532606)------------------------------
% 25.25/4.27 % (2532606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532606)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532606)Termination reason: Instruction limit
% 25.25/4.27 % (2532606)Termination phase: Saturation
% 25.25/4.27 % (2532606)Time elapsed: 0.277 s
% 25.25/4.27 % (2532606)Peak memory usage: 93 MB
% 25.25/4.27 % (2532606)Instructions burned: 593 (million)
% 25.25/4.27 % (2532617)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=1032705221:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 25.25/4.27 % (2532619)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=920100193:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 25.25/4.27 % (2532617)Instruction limit reached!
% 25.25/4.27 % (2532617)------------------------------
% 25.25/4.27 % (2532617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532617)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532617)Termination reason: Instruction limit
% 25.25/4.27 % (2532617)Termination phase: Saturation
% 25.25/4.27 % (2532617)Time elapsed: 0.118 s
% 25.25/4.27 % (2532617)Peak memory usage: 90 MB
% 25.25/4.27 % (2532617)Instructions burned: 125 (million)
% 25.25/4.27 % (2532619)Instruction limit reached!
% 25.25/4.27 % (2532619)------------------------------
% 25.25/4.27 % (2532619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532619)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532619)Termination reason: Instruction limit
% 25.25/4.27 % (2532619)Termination phase: Saturation
% 25.25/4.27 % (2532619)Time elapsed: 0.101 s
% 25.25/4.27 % (2532619)Peak memory usage: 89 MB
% 25.25/4.27 % (2532619)Instructions burned: 134 (million)
% 25.25/4.27 % (2532626)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1791858148:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 25.25/4.27 % (2532627)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4098087267:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 25.25/4.27 % (2532626)Refutation not found, incomplete strategy
% 25.25/4.27 % (2532626)------------------------------
% 25.25/4.27 % (2532626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532626)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532626)Termination reason: Refutation not found, incomplete strategy
% 25.25/4.27 % (2532626)Time elapsed: 0.013 s
% 25.25/4.27 % (2532626)Peak memory usage: 89 MB
% 25.25/4.27 % (2532626)Instructions burned: 12 (million)
% 25.25/4.27 % (2532627)Instruction limit reached!
% 25.25/4.27 % (2532627)------------------------------
% 25.25/4.27 % (2532627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532627)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532627)Termination reason: Instruction limit
% 25.25/4.27 % (2532627)Termination phase: Saturation
% 25.25/4.27 % (2532627)Time elapsed: 0.383 s
% 25.25/4.27 % (2532627)Peak memory usage: 93 MB
% 25.25/4.27 % (2532627)Instructions burned: 431 (million)
% 25.25/4.27 % (2532626)------------------------------
% 25.25/4.27 % (2532626)------------------------------
% 25.25/4.27 % (2532639)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=2258349333:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 25.25/4.27 % (2532417)First to succeed.
% 25.25/4.27 % (2532640)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=1270365992:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 25.25/4.27 % (2532417)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2532223"
% 25.25/4.27 % (2532640)Instruction limit reached!
% 25.25/4.27 % (2532640)------------------------------
% 25.25/4.27 % (2532640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.25/4.27 % (2532640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.25/4.27 % (2532640)CaDiCaL version: 2.1.3
% 25.25/4.27 % (2532640)Termination reason: Instruction limit
% 25.25/4.27 % (2532640)Termination phase: Saturation
% 25.25/4.27 % (2532640)Time elapsed: 0.142 s
% 25.25/4.27 % (2532640)Peak memory usage: 91 MB
% 25.25/4.27 % (2532640)Instructions burned: 150 (million)
% 25.25/4.27 % (2532417)Refutation found. Thanks to Tanya!
% 25.25/4.27 % SZS status Theorem for theBenchmark
% 25.25/4.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/4.50 % (2532417)------------------------------
% 0.22/4.50 % (2532417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/4.50 % (2532417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/4.50 % (2532417)CaDiCaL version: 2.1.3
% 0.22/4.50 % (2532417)Termination reason: Refutation
% 0.22/4.50 % (2532417)Time elapsed: 2.985 s
% 0.22/4.50 % (2532417)Peak memory usage: 147 MB
% 0.22/4.50 % (2532417)Instructions burned: 3399 (million)
% 0.22/4.50 % (2532417)------------------------------
% 0.22/4.50 % (2532417)------------------------------
% 0.22/4.50 % (2532223)Success in time 3.589 s
% 0.22/4.50 % Vampire exiting
%------------------------------------------------------------------------------