%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP048+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 : n004.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 02:34:06 PM UTC 2026
% Result : Theorem 13.08s 2.92s
% Output : Refutation 16.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 60
% Syntax : Number of formulae : 465 ( 64 unt; 29 def)
% Number of atoms : 2108 ( 100 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 2717 (1074 ~;1239 |; 316 &)
% ( 38 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 68 ( 66 usr; 29 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 364 ( 1 sgn 348 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_pre_topc(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v1_waybel33(X0)
& l1_waybel_9(X0) )
=> ( v2_compts_1(X0)
& v1_urysohn1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_pre_topc(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v1_waybel33(X0)
& l1_waybel_9(X0) )
=> ( v2_compts_1(X0)
& v1_urysohn1(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f35,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_yellow_9(X1,X0)
=> v2_orders_2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_9) ).
fof(f41,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_yellow_9(X1,X0)
=> v3_orders_2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_9) ).
fof(f44,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_yellow_9(X1,X0)
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel33) ).
fof(f48,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_yellow_9(X1,X0)
=> v4_orders_2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_9) ).
fof(f50,axiom,
! [X0] :
( l1_waybel_9(X0)
=> ( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_pre_topc(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v2_waybel19(X0) )
=> ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v2_yellow_0(X0)
& v3_yellow_0(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_pre_topc(X0)
& ~ v1_yellow_3(X0)
& v2_compts_1(X0)
& v1_urysohn1(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel19) ).
fof(f66,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f67,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_waybel_9(X1)
=> ( m1_yellow_9(X1,X0)
<=> g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_yellow_9) ).
fof(f69,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_struct_0) ).
fof(f71,axiom,
! [X0,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(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(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,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) )
=> m1_subset_1(k1_waybel33(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel33) ).
fof(f80,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f83,axiom,
! [X0] :
( l1_waybel_9(X0)
=> ( l1_pre_topc(X0)
& l1_orders_2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_9) ).
fof(f86,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_yellow_9(X1,X0)
=> l1_waybel_9(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_9) ).
fof(f89,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(f117,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v1_xboole_0(k2_pre_topc(X0))
& v2_waybel_0(k2_pre_topc(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_0) ).
fof(f123,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(f153,axiom,
! [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] :
( m1_yellow_9(X1,X0)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_pre_topc(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_9(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v2_waybel19(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_waybel19) ).
fof(f167,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f168,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(f169,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f170,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f171,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_yellow_9(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X2,X0)
=> ( v3_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( v4_pre_topc(X2,X0)
=> ( v4_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_waybel33) ).
fof(f172,axiom,
! [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] :
( ( v1_waybel33(X1)
& m1_yellow_9(X1,X0) )
=> ! [X2] :
( ( v2_pre_topc(X2)
& v2_waybel19(X2)
& m1_yellow_9(X2,X0) )
=> m2_yellow_9(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_waybel33) ).
fof(f173,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v1_waybel33(X0)
& l1_waybel_9(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
=> r2_waybel_7(X0,X1,k1_waybel33(X0,k2_pre_topc(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_waybel33) ).
fof(f174,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f176,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v2_compts_1(X0)
<=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_waybel_7(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_yellow19) ).
fof(f177,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f178,axiom,
! [X0] :
( l1_waybel_9(X0)
=> m1_yellow_9(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_9) ).
fof(f179,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_urysohn1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k6_pre_topc(X0,k1_struct_0(X0,X1)) = k1_struct_0(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_frechet2) ).
fof(f181,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
=> k6_pre_topc(X0,X1) = X1 )
& ( ( v2_pre_topc(X0)
& k6_pre_topc(X0,X1) = X1 )
=> v4_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f186,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f169]) ).
fof(f187,plain,
? [X0] :
( ( ~ v2_compts_1(X0)
| ~ v1_urysohn1(X0) )
& v2_pre_topc(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v1_waybel33(X0)
& l1_waybel_9(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f188,plain,
? [X0] :
( ( ~ v2_compts_1(X0)
| ~ v1_urysohn1(X0) )
& v2_pre_topc(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& v1_waybel33(X0)
& l1_waybel_9(X0) ),
inference(flattening,[],[f187]) ).
fof(f210,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f211,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f210]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f246]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f258]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) )
| ~ m1_yellow_9(X1,X0) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) )
| ~ m1_yellow_9(X1,X0) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f264]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f272]) ).
fof(f276,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v2_yellow_0(X0)
& v3_yellow_0(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_pre_topc(X0)
& ~ v1_yellow_3(X0)
& v2_compts_1(X0)
& v1_urysohn1(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_pre_topc(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v2_waybel19(X0)
| ~ l1_waybel_9(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f277,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& v2_yellow_0(X0)
& v3_yellow_0(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_pre_topc(X0)
& ~ v1_yellow_3(X0)
& v2_compts_1(X0)
& v1_urysohn1(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_pre_topc(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v2_waybel19(X0)
| ~ l1_waybel_9(X0) ),
inference(flattening,[],[f276]) ).
fof(f308,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f309,plain,
! [X0] :
( ! [X1] :
( ( m1_yellow_9(X1,X0)
<=> g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) )
| ~ l1_waybel_9(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f311,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f312,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f311]) ).
fof(f313,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_waybel33(X0,X1,X2),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,k1_zfmisc_1(u1_struct_0(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,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) ),
inference(ennf_transformation,[],[f71]) ).
fof(f314,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_waybel33(X0,X1,X2),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,k1_zfmisc_1(u1_struct_0(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,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) ),
inference(flattening,[],[f313]) ).
fof(f320,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f322,plain,
! [X0] :
( ( l1_pre_topc(X0)
& l1_orders_2(X0) )
| ~ l1_waybel_9(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( l1_waybel_9(X1)
| ~ m1_yellow_9(X1,X0) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f326,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f350,plain,
! [X0] :
( ( ~ v1_xboole_0(k2_pre_topc(X0))
& v2_waybel_0(k2_pre_topc(X0),X0) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f351,plain,
! [X0] :
( ( ~ v1_xboole_0(k2_pre_topc(X0))
& v2_waybel_0(k2_pre_topc(X0),X0) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f350]) ).
fof(f359,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,[],[f123]) ).
fof(f375,plain,
! [X0] :
( ? [X1] :
( m1_yellow_9(X1,X0)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_pre_topc(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_9(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v2_waybel19(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,[],[f153]) ).
fof(f376,plain,
! [X0] :
( ? [X1] :
( m1_yellow_9(X1,X0)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_pre_topc(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_9(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v2_waybel19(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,[],[f375]) ).
fof(f392,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f167]) ).
fof(f393,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f392]) ).
fof(f394,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f170]) ).
fof(f395,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ( v3_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X2,X0) )
& ( ( v4_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_yellow_9(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f171]) ).
fof(f396,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ( v3_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X2,X0) )
& ( ( v4_pre_topc(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_yellow_9(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f395]) ).
fof(f397,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_yellow_9(X1,X2)
| ~ v2_pre_topc(X2)
| ~ v2_waybel19(X2)
| ~ m1_yellow_9(X2,X0) )
| ~ v1_waybel33(X1)
| ~ m1_yellow_9(X1,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) ),
inference(ennf_transformation,[],[f172]) ).
fof(f398,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_yellow_9(X1,X2)
| ~ v2_pre_topc(X2)
| ~ v2_waybel19(X2)
| ~ m1_yellow_9(X2,X0) )
| ~ v1_waybel33(X1)
| ~ m1_yellow_9(X1,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) ),
inference(flattening,[],[f397]) ).
fof(f399,plain,
! [X0] :
( ! [X1] :
( r2_waybel_7(X0,X1,k1_waybel33(X0,k2_pre_topc(X0),X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
| ~ v2_pre_topc(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v1_waybel33(X0)
| ~ l1_waybel_9(X0) ),
inference(ennf_transformation,[],[f173]) ).
fof(f400,plain,
! [X0] :
( ! [X1] :
( r2_waybel_7(X0,X1,k1_waybel33(X0,k2_pre_topc(X0),X1))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
| ~ v2_pre_topc(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v1_waybel33(X0)
| ~ l1_waybel_9(X0) ),
inference(flattening,[],[f399]) ).
fof(f401,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f174]) ).
fof(f402,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f401]) ).
fof(f404,plain,
! [X0] :
( ( v2_compts_1(X0)
<=> ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_waybel_7(X0,X1,X2) )
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f176]) ).
fof(f405,plain,
! [X0] :
( ( v2_compts_1(X0)
<=> ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_waybel_7(X0,X1,X2) )
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f404]) ).
fof(f406,plain,
! [X0] :
( m1_yellow_9(X0,X0)
| ~ l1_waybel_9(X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f407,plain,
! [X0] :
( ( v1_urysohn1(X0)
<=> ! [X1] :
( k6_pre_topc(X0,k1_struct_0(X0,X1)) = k1_struct_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f179]) ).
fof(f408,plain,
! [X0] :
( ( v1_urysohn1(X0)
<=> ! [X1] :
( k6_pre_topc(X0,k1_struct_0(X0,X1)) = k1_struct_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f407]) ).
fof(f411,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f181]) ).
fof(f412,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f411]) ).
fof(f421,definition,
! [X0] :
( ? [X1] :
( m1_yellow_9(X1,X0)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_pre_topc(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_9(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v2_waybel19(X1) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f422,plain,
! [X0] :
( sP2(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) ),
inference(definition_folding,[],[f376,f421]) ).
fof(f423,plain,
( ( ~ v2_compts_1(sK3)
| ~ v1_urysohn1(sK3) )
& v2_pre_topc(sK3)
& v2_orders_2(sK3)
& v3_orders_2(sK3)
& v4_orders_2(sK3)
& v1_lattice3(sK3)
& v2_lattice3(sK3)
& v3_lattice3(sK3)
& v1_waybel33(sK3)
& l1_waybel_9(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f188]) ).
fof(f425,plain,
! [X0] :
( ! [X1] :
( ( ( m1_yellow_9(X1,X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) )
& ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ m1_yellow_9(X1,X0) ) )
| ~ l1_waybel_9(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f309]) ).
fof(f468,plain,
! [X0] :
( ? [X1] :
( m1_yellow_9(X1,X0)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v2_yellow_0(X1)
& v3_yellow_0(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_pre_topc(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_9(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v2_waybel19(X1) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f421]) ).
fof(f469,plain,
! [X0] :
( ( m1_yellow_9(sK43(X0),X0)
& ~ v3_struct_0(sK43(X0))
& v2_orders_2(sK43(X0))
& v3_orders_2(sK43(X0))
& v4_orders_2(sK43(X0))
& v1_yellow_0(sK43(X0))
& v2_yellow_0(sK43(X0))
& v3_yellow_0(sK43(X0))
& v24_waybel_0(sK43(X0))
& v25_waybel_0(sK43(X0))
& v2_pre_topc(sK43(X0))
& ~ v1_yellow_3(sK43(X0))
& v1_waybel_9(sK43(X0))
& v1_lattice3(sK43(X0))
& v2_lattice3(sK43(X0))
& v3_lattice3(sK43(X0))
& v2_waybel19(sK43(X0)) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X1,sK43(X0))],[f468]) ).
fof(f483,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,[],[f168]) ).
fof(f486,plain,
! [X0] :
( ( ( v2_compts_1(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_waybel_7(X0,X1,X2) )
& ~ v1_xboole_0(X1)
& v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_waybel_7(X0,X1,X2) )
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
| ~ v2_compts_1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f405]) ).
fof(f487,plain,
! [X0] :
( ( ( v2_compts_1(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_waybel_7(X0,X1,X2) )
& ~ v1_xboole_0(X1)
& v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
& v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) ) )
& ( ! [X3] :
( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& r2_waybel_7(X0,X3,X4) )
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
| ~ v2_compts_1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f486]) ).
fof(f488,plain,
! [X0] :
( ( ( v2_compts_1(X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_waybel_7(X0,sK58(X0),X2) )
& ~ v1_xboole_0(sK58(X0))
& v2_waybel_0(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
& v13_waybel_0(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
& v3_waybel_7(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
& m1_subset_1(sK58(X0),k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) ) )
& ( ! [X3] :
( ( m1_subset_1(sK59(X0,X3),u1_struct_0(X0))
& r2_waybel_7(X0,X3,sK59(X0,X3)) )
| v1_xboole_0(X3)
| ~ v2_waybel_0(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ v3_waybel_7(X3,k3_yellow_1(k2_pre_topc(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0))))) )
| ~ v2_compts_1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X1,sK58(X0)),skolemize(X4,sK59(X0,X3))],[f487]) ).
fof(f489,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f177]) ).
fof(f490,plain,
! [X0] :
( ( ( v1_urysohn1(X0)
| ? [X1] :
( k1_struct_0(X0,X1) != k6_pre_topc(X0,k1_struct_0(X0,X1))
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( k6_pre_topc(X0,k1_struct_0(X0,X1)) = k1_struct_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v1_urysohn1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f408]) ).
fof(f491,plain,
! [X0] :
( ( ( v1_urysohn1(X0)
| ? [X1] :
( k1_struct_0(X0,X1) != k6_pre_topc(X0,k1_struct_0(X0,X1))
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X2] :
( k1_struct_0(X0,X2) = k6_pre_topc(X0,k1_struct_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_urysohn1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f490]) ).
fof(f492,plain,
! [X0] :
( ( ( v1_urysohn1(X0)
| ( k1_struct_0(X0,sK60(X0)) != k6_pre_topc(X0,k1_struct_0(X0,sK60(X0)))
& m1_subset_1(sK60(X0),u1_struct_0(X0)) ) )
& ( ! [X2] :
( k1_struct_0(X0,X2) = k6_pre_topc(X0,k1_struct_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_urysohn1(X0) ) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X1,sK60(X0))],[f491]) ).
fof(f493,plain,
l1_waybel_9(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f494,plain,
v1_waybel33(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f495,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f496,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f497,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f498,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f499,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f500,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f501,plain,
v2_pre_topc(sK3),
inference(cnf_transformation,[],[f423]) ).
fof(f502,plain,
( ~ v2_compts_1(sK3)
| ~ v1_urysohn1(sK3) ),
inference(cnf_transformation,[],[f423]) ).
fof(f540,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f606,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_yellow_9(X1,X0)
| ~ v2_orders_2(X0)
| v2_orders_2(X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f618,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_yellow_9(X1,X0)
| ~ v3_orders_2(X0)
| v3_orders_2(X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f628,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_yellow_9(X1,X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| v2_lattice3(X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f632,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_yellow_9(X1,X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f644,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_yellow_9(X1,X0)
| ~ v4_orders_2(X0)
| v4_orders_2(X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f650,plain,
! [X0] :
( ~ v2_waybel19(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_pre_topc(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v1_urysohn1(X0)
| ~ l1_waybel_9(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f752,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f753,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ m1_yellow_9(X1,X0)
| ~ l1_waybel_9(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f425]) ).
fof(f754,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_waybel_9(X1)
| m1_yellow_9(X1,X0) ),
inference(cnf_transformation,[],[f425]) ).
fof(f757,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f758,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_waybel33(X0,X1,X2),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,k1_zfmisc_1(u1_struct_0(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,k1_zfmisc_1(u1_struct_0(k3_yellow_1(X1)))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f765,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f767,plain,
! [X0] :
( ~ l1_waybel_9(X0)
| l1_orders_2(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f768,plain,
! [X0] :
( ~ l1_waybel_9(X0)
| l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f769,plain,
! [X0,X1] :
( ~ m1_yellow_9(X1,X0)
| l1_waybel_9(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f773,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f846,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f871,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f359]) ).
fof(f872,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,[],[f359]) ).
fof(f1041,plain,
! [X0] :
( v2_waybel19(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1042,plain,
! [X0] :
( v3_lattice3(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1043,plain,
! [X0] :
( v2_lattice3(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1044,plain,
! [X0] :
( v1_lattice3(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1047,plain,
! [X0] :
( v2_pre_topc(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1053,plain,
! [X0] :
( v4_orders_2(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1054,plain,
! [X0] :
( v3_orders_2(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1055,plain,
! [X0] :
( v2_orders_2(sK43(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1057,plain,
! [X0] :
( ~ sP2(X0)
| m1_yellow_9(sK43(X0),X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1058,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f422]) ).
fof(f1124,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f483]) ).
fof(f1127,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f186]) ).
fof(f1128,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f1130,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_yellow_9(X1,X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(X2,X1) ),
inference(cnf_transformation,[],[f396]) ).
fof(f1133,plain,
! [X2,X0,X1] :
( ~ v2_waybel19(X2)
| ~ v2_pre_topc(X2)
| m2_yellow_9(X1,X2)
| ~ m1_yellow_9(X2,X0)
| ~ v1_waybel33(X1)
| ~ m1_yellow_9(X1,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) ),
inference(cnf_transformation,[],[f398]) ).
fof(f1134,plain,
! [X0,X1] :
( ~ v3_waybel_7(X1,k3_yellow_1(k2_pre_topc(X0)))
| v1_xboole_0(X1)
| ~ v2_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| ~ v13_waybel_0(X1,k3_yellow_1(k2_pre_topc(X0)))
| r2_waybel_7(X0,X1,k1_waybel33(X0,k2_pre_topc(X0),X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0)))))
| ~ v2_pre_topc(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v1_waybel33(X0)
| ~ l1_waybel_9(X0) ),
inference(cnf_transformation,[],[f400]) ).
fof(f1135,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f402]) ).
fof(f1140,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(sK58(X0),k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(X0)))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| v2_compts_1(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1141,plain,
! [X0] :
( v3_waybel_7(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
| v2_compts_1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1142,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v13_waybel_0(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| v2_compts_1(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1143,plain,
! [X0] :
( v2_waybel_0(sK58(X0),k3_yellow_1(k2_pre_topc(X0)))
| v2_compts_1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1144,plain,
! [X0] :
( ~ v1_xboole_0(sK58(X0))
| v2_compts_1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1145,plain,
! [X2,X0] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_waybel_7(X0,sK58(X0),X2)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| v2_compts_1(X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f489]) ).
fof(f1148,plain,
! [X0] :
( ~ l1_waybel_9(X0)
| m1_yellow_9(X0,X0) ),
inference(cnf_transformation,[],[f406]) ).
fof(f1149,plain,
! [X2,X0] :
( ~ v1_urysohn1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_struct_0(X0,X2) = k6_pre_topc(X0,k1_struct_0(X0,X2))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f492]) ).
fof(f1150,plain,
! [X0] :
( m1_subset_1(sK60(X0),u1_struct_0(X0))
| v1_urysohn1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f492]) ).
fof(f1151,plain,
! [X0] :
( k1_struct_0(X0,sK60(X0)) != k6_pre_topc(X0,k1_struct_0(X0,sK60(X0)))
| v1_urysohn1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f492]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1154,plain,
! [X0,X1] :
( ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f1161,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ m1_yellow_9(X1,X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) ),
inference(forward_subsumption_resolution,[],[f753,f769]) ).
fof(f1165,definition,
( spl61_1
<=> v1_urysohn1(sK3) ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f1166,plain,
( ~ v1_urysohn1(sK3)
| spl61_1 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1168,definition,
( spl61_2
<=> v2_compts_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).
fof(f1169,plain,
( ~ v2_compts_1(sK3)
| spl61_2 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1170,plain,
( ~ spl61_1
| ~ spl61_2 ),
inference(avatar_split_clause,[],[f502,f1168,f1165]) ).
fof(f1171,plain,
l1_orders_2(sK3),
inference(resolution,[],[f767,f493]) ).
fof(f1172,plain,
( ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(resolution,[],[f1058,f1171]) ).
fof(f1173,plain,
( ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(forward_subsumption_resolution,[],[f1172,f500]) ).
fof(f1174,plain,
( ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(forward_subsumption_resolution,[],[f1173,f499]) ).
fof(f1175,plain,
( ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(forward_subsumption_resolution,[],[f1174,f498]) ).
fof(f1176,plain,
( ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(forward_subsumption_resolution,[],[f1175,f497]) ).
fof(f1177,plain,
( ~ v3_lattice3(sK3)
| sP2(sK3) ),
inference(forward_subsumption_resolution,[],[f1176,f496]) ).
fof(f1178,plain,
sP2(sK3),
inference(forward_subsumption_resolution,[],[f1177,f495]) ).
fof(f1179,plain,
! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f773,f1125]) ).
fof(f1185,plain,
l1_pre_topc(sK3),
inference(resolution,[],[f768,f493]) ).
fof(f1186,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_waybel_7(sK3,sK58(sK3),X0)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| v2_compts_1(sK3) ),
inference(resolution,[],[f1185,f1145]) ).
fof(f1187,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_waybel_7(sK3,sK58(sK3),X0)
| v3_struct_0(sK3)
| v2_compts_1(sK3) ),
inference(forward_subsumption_resolution,[],[f1186,f501]) ).
fof(f1190,definition,
( spl61_3
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f1191,plain,
( v3_struct_0(sK3)
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1193,definition,
( spl61_4
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_waybel_7(sK3,sK58(sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f1194,plain,
( ! [X0] :
( ~ r2_waybel_7(sK3,sK58(sK3),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) )
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1195,plain,
( spl61_2
| spl61_3
| spl61_4 ),
inference(avatar_split_clause,[],[f1187,f1193,f1190,f1168]) ).
fof(f1198,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v2_orders_2(sK3)
| v2_orders_2(X0) ),
inference(resolution,[],[f606,f1171]) ).
fof(f1199,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| v2_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1198,f500]) ).
fof(f1200,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v3_orders_2(sK3)
| v3_orders_2(X0) ),
inference(resolution,[],[f618,f1171]) ).
fof(f1201,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| v3_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1200,f499]) ).
fof(f1203,plain,
( ~ v1_lattice3(sK3)
| ~ l1_orders_2(sK3)
| ~ spl61_3 ),
inference(resolution,[],[f540,f1191]) ).
fof(f1205,plain,
( ~ l1_orders_2(sK3)
| ~ spl61_3 ),
inference(forward_subsumption_resolution,[],[f1203,f497]) ).
fof(f1206,plain,
( $false
| ~ spl61_3 ),
inference(forward_subsumption_resolution,[],[f1205,f1171]) ).
fof(f1207,plain,
~ spl61_3,
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1208,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v4_orders_2(sK3)
| v4_orders_2(X0) ),
inference(resolution,[],[f644,f1171]) ).
fof(f1209,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| v4_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1208,f498]) ).
fof(f1211,plain,
! [X0] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(resolution,[],[f1147,f1127]) ).
fof(f1215,plain,
m1_yellow_9(sK43(sK3),sK3),
inference(resolution,[],[f1057,f1178]) ).
fof(f1216,plain,
( l1_waybel_9(sK43(sK3))
| ~ l1_orders_2(sK3) ),
inference(resolution,[],[f1215,f769]) ).
fof(f1217,plain,
l1_waybel_9(sK43(sK3)),
inference(forward_subsumption_resolution,[],[f1216,f1171]) ).
fof(f1218,plain,
m1_yellow_9(sK43(sK3),sK43(sK3)),
inference(resolution,[],[f1217,f1148]) ).
fof(f1219,plain,
l1_pre_topc(sK43(sK3)),
inference(resolution,[],[f1217,f768]) ).
fof(f1220,plain,
l1_orders_2(sK43(sK3)),
inference(resolution,[],[f1217,f767]) ).
fof(f1233,plain,
l1_struct_0(sK3),
inference(resolution,[],[f765,f1171]) ).
fof(f1234,plain,
! [X0] :
( v3_struct_0(sK3)
| k1_tarski(X0) = k1_struct_0(sK3,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(resolution,[],[f1233,f1124]) ).
fof(f1235,plain,
u1_struct_0(sK3) = k2_pre_topc(sK3),
inference(resolution,[],[f1233,f752]) ).
fof(f1237,definition,
( spl61_5
<=> ! [X0] :
( k1_tarski(X0) = k1_struct_0(sK3,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f1238,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k1_tarski(X0) = k1_struct_0(sK3,X0) )
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1239,plain,
( spl61_5
| spl61_3 ),
inference(avatar_split_clause,[],[f1234,f1190,f1237]) ).
fof(f1243,plain,
( ~ v1_xboole_0(u1_struct_0(sK3))
| ~ v2_lattice3(sK3)
| ~ l1_orders_2(sK3) ),
inference(superposition,[],[f846,f1235]) ).
fof(f1246,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v2_pre_topc(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(superposition,[],[f1134,f1235]) ).
fof(f1247,plain,
( v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v2_compts_1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3) ),
inference(superposition,[],[f1141,f1235]) ).
fof(f1248,plain,
( v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v2_compts_1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3) ),
inference(superposition,[],[f1143,f1235]) ).
fof(f1251,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1246,f501]) ).
fof(f1254,plain,
( ~ v1_xboole_0(u1_struct_0(sK3))
| ~ l1_orders_2(sK3) ),
inference(forward_subsumption_resolution,[],[f1243,f496]) ).
fof(f1259,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1251,f500]) ).
fof(f1262,plain,
~ v1_xboole_0(u1_struct_0(sK3)),
inference(forward_subsumption_resolution,[],[f1254,f1171]) ).
fof(f1270,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v4_orders_2(sK3)
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1259,f499]) ).
fof(f1271,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v1_lattice3(sK3)
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1270,f498]) ).
fof(f1272,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v2_lattice3(sK3)
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1271,f497]) ).
fof(f1273,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v3_lattice3(sK3)
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1272,f496]) ).
fof(f1274,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ v1_waybel33(sK3)
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1273,f495]) ).
fof(f1275,plain,
! [X0] :
( ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ l1_waybel_9(sK3) ),
inference(forward_subsumption_resolution,[],[f1274,f494]) ).
fof(f1276,plain,
! [X0] :
( r2_waybel_7(sK3,X0,k1_waybel33(sK3,u1_struct_0(sK3),X0))
| v1_xboole_0(X0)
| ~ v2_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ v3_waybel_7(X0,k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3))))) ),
inference(forward_subsumption_resolution,[],[f1275,f493]) ).
fof(f1280,plain,
( k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| ~ spl61_5 ),
inference(resolution,[],[f1238,f1150]) ).
fof(f1281,plain,
( k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f1280,f1166]) ).
fof(f1285,plain,
( k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3))
| v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f1281,f501]) ).
fof(f1287,plain,
( k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3))
| v3_struct_0(sK3)
| spl61_1
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f1285,f1185]) ).
fof(f1290,definition,
( spl61_7
<=> k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_7])],[avatar_definition]) ).
fof(f1291,plain,
( k1_struct_0(sK3,sK60(sK3)) = k1_tarski(sK60(sK3))
| ~ spl61_7 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1292,plain,
( spl61_3
| spl61_7
| spl61_1
| ~ spl61_5 ),
inference(avatar_split_clause,[],[f1287,f1237,f1165,f1290,f1190]) ).
fof(f1298,plain,
( k1_tarski(sK60(sK3)) != k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| ~ spl61_7 ),
inference(superposition,[],[f1151,f1291]) ).
fof(f1307,plain,
( v13_waybel_0(sK58(sK3),k3_yellow_1(k2_pre_topc(sK3)))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| v2_compts_1(sK3) ),
inference(resolution,[],[f1142,f1185]) ).
fof(f1335,plain,
v2_orders_2(sK43(sK3)),
inference(resolution,[],[f1199,f1215]) ).
fof(f1339,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_urysohn1(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| r2_hidden(sK60(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f1135,f1150]) ).
fof(f1347,plain,
v3_orders_2(sK43(sK3)),
inference(resolution,[],[f1201,f1215]) ).
fof(f1349,plain,
v4_orders_2(sK43(sK3)),
inference(resolution,[],[f1209,f1215]) ).
fof(f1350,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)) ),
inference(resolution,[],[f1161,f1171]) ).
fof(f1353,plain,
g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)) = g1_orders_2(u1_struct_0(sK43(sK3)),u1_orders_2(sK43(sK3))),
inference(resolution,[],[f1350,f1215]) ).
fof(f1360,plain,
l1_struct_0(sK43(sK3)),
inference(resolution,[],[f1220,f765]) ).
fof(f1378,definition,
( spl61_11
<=> v3_lattice3(sK43(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_11])],[avatar_definition]) ).
fof(f1379,plain,
( ~ v3_lattice3(sK43(sK3))
| spl61_11 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1384,definition,
( spl61_13
<=> v1_lattice3(sK43(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_13])],[avatar_definition]) ).
fof(f1385,plain,
( ~ v1_lattice3(sK43(sK3))
| spl61_13 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1388,plain,
( ~ sP2(sK3)
| spl61_11 ),
inference(resolution,[],[f1379,f1042]) ).
fof(f1390,plain,
( $false
| spl61_11 ),
inference(forward_subsumption_resolution,[],[f1388,f1178]) ).
fof(f1391,plain,
spl61_11,
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1398,plain,
( ~ sP2(sK3)
| spl61_13 ),
inference(resolution,[],[f1385,f1044]) ).
fof(f1400,plain,
( $false
| spl61_13 ),
inference(forward_subsumption_resolution,[],[f1398,f1178]) ).
fof(f1401,plain,
spl61_13,
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1409,plain,
! [X0] :
( v3_struct_0(sK3)
| m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(resolution,[],[f757,f1233]) ).
fof(f1411,definition,
( spl61_14
<=> ! [X0] :
( m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl61_14])],[avatar_definition]) ).
fof(f1412,plain,
( ! [X0] :
( m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) )
| ~ spl61_14 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1413,plain,
( spl61_14
| spl61_3 ),
inference(avatar_split_clause,[],[f1409,f1190,f1411]) ).
fof(f1416,plain,
( m1_subset_1(k1_tarski(sK60(sK3)),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK60(sK3),u1_struct_0(sK3))
| ~ spl61_7
| ~ spl61_14 ),
inference(superposition,[],[f1412,f1291]) ).
fof(f1418,definition,
( spl61_15
<=> m1_subset_1(sK60(sK3),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_15])],[avatar_definition]) ).
fof(f1419,plain,
( ~ m1_subset_1(sK60(sK3),u1_struct_0(sK3))
| spl61_15 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1421,definition,
( spl61_16
<=> m1_subset_1(k1_tarski(sK60(sK3)),k1_zfmisc_1(u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_16])],[avatar_definition]) ).
fof(f1422,plain,
( m1_subset_1(k1_tarski(sK60(sK3)),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl61_16 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1423,plain,
( ~ spl61_15
| spl61_16
| ~ spl61_7
| ~ spl61_14 ),
inference(avatar_split_clause,[],[f1416,f1411,f1290,f1421,f1418]) ).
fof(f1425,plain,
( v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_15 ),
inference(resolution,[],[f1419,f1150]) ).
fof(f1426,plain,
( v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f1425,f1166]) ).
fof(f1427,plain,
( v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f1426,f501]) ).
fof(f1428,plain,
( v3_struct_0(sK3)
| spl61_1
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f1427,f1185]) ).
fof(f1429,plain,
( spl61_3
| spl61_1
| spl61_15 ),
inference(avatar_split_clause,[],[f1428,f1418,f1165,f1190]) ).
fof(f1451,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| ~ v2_pre_topc(sK43(X0))
| m2_yellow_9(X1,sK43(X0))
| ~ m1_yellow_9(sK43(X0),X2)
| ~ v1_waybel33(X1)
| ~ m1_yellow_9(X1,X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(resolution,[],[f1041,f1133]) ).
fof(f1452,plain,
! [X0] :
( ~ sP2(X0)
| ~ v2_orders_2(sK43(X0))
| ~ v3_orders_2(sK43(X0))
| ~ v4_orders_2(sK43(X0))
| ~ v2_pre_topc(sK43(X0))
| ~ v1_lattice3(sK43(X0))
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(resolution,[],[f1041,f650]) ).
fof(f1455,plain,
! [X0] :
( ~ sP2(X0)
| ~ v3_orders_2(sK43(X0))
| ~ v4_orders_2(sK43(X0))
| ~ v2_pre_topc(sK43(X0))
| ~ v1_lattice3(sK43(X0))
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1452,f1055]) ).
fof(f1456,plain,
! [X2,X0,X1] :
( ~ v1_waybel33(X1)
| m2_yellow_9(X1,sK43(X0))
| ~ m1_yellow_9(sK43(X0),X2)
| ~ sP2(X0)
| ~ m1_yellow_9(X1,X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(forward_subsumption_resolution,[],[f1451,f1047]) ).
fof(f1458,plain,
! [X0] :
( ~ sP2(X0)
| ~ v4_orders_2(sK43(X0))
| ~ v2_pre_topc(sK43(X0))
| ~ v1_lattice3(sK43(X0))
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1455,f1054]) ).
fof(f1460,plain,
! [X0] :
( ~ sP2(X0)
| ~ v2_pre_topc(sK43(X0))
| ~ v1_lattice3(sK43(X0))
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1458,f1053]) ).
fof(f1462,plain,
! [X0] :
( ~ sP2(X0)
| ~ v1_lattice3(sK43(X0))
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1460,f1047]) ).
fof(f1464,plain,
! [X0] :
( ~ sP2(X0)
| ~ v2_lattice3(sK43(X0))
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1462,f1044]) ).
fof(f1466,plain,
! [X0] :
( ~ sP2(X0)
| ~ v3_lattice3(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ l1_waybel_9(sK43(X0)) ),
inference(forward_subsumption_resolution,[],[f1464,f1043]) ).
fof(f1468,plain,
! [X0] :
( ~ l1_waybel_9(sK43(X0))
| v1_urysohn1(sK43(X0))
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f1466,f1042]) ).
fof(f1469,plain,
( v1_urysohn1(sK43(sK3))
| ~ sP2(sK3) ),
inference(resolution,[],[f1468,f1217]) ).
fof(f1474,plain,
v1_urysohn1(sK43(sK3)),
inference(forward_subsumption_resolution,[],[f1469,f1178]) ).
fof(f1475,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK43(sK3)))
| k1_struct_0(sK43(sK3),X0) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),X0))
| v3_struct_0(sK43(sK3))
| ~ v2_pre_topc(sK43(sK3))
| ~ l1_pre_topc(sK43(sK3)) ),
inference(resolution,[],[f1474,f1149]) ).
fof(f1476,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK43(sK3)))
| k1_struct_0(sK43(sK3),X0) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),X0))
| v3_struct_0(sK43(sK3))
| ~ v2_pre_topc(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1475,f1219]) ).
fof(f1478,definition,
( spl61_18
<=> v2_pre_topc(sK43(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_18])],[avatar_definition]) ).
fof(f1479,plain,
( ~ v2_pre_topc(sK43(sK3))
| spl61_18 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1481,definition,
( spl61_19
<=> v3_struct_0(sK43(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_19])],[avatar_definition]) ).
fof(f1482,plain,
( v3_struct_0(sK43(sK3))
| ~ spl61_19 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1484,definition,
( spl61_20
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK43(sK3)))
| k1_struct_0(sK43(sK3),X0) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl61_20])],[avatar_definition]) ).
fof(f1485,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK43(sK3)))
| k1_struct_0(sK43(sK3),X0) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),X0)) )
| ~ spl61_20 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1486,plain,
( ~ spl61_18
| spl61_19
| spl61_20 ),
inference(avatar_split_clause,[],[f1476,f1484,f1481,f1478]) ).
fof(f1488,plain,
( ~ sP2(sK3)
| spl61_18 ),
inference(resolution,[],[f1479,f1047]) ).
fof(f1490,plain,
( $false
| spl61_18 ),
inference(forward_subsumption_resolution,[],[f1488,f1178]) ).
fof(f1491,plain,
spl61_18,
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1492,plain,
( $false
| ~ spl61_19 ),
inference(unit_resulting_resolution,[],[f632,f1171,f496,f498,f499,f500,f1215,f1482]) ).
fof(f1496,plain,
~ spl61_19,
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1532,plain,
! [X0,X1] :
( ~ m1_yellow_9(sK3,X1)
| ~ m1_yellow_9(sK43(X0),X1)
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ 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) ),
inference(resolution,[],[f1456,f494]) ).
fof(f1597,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v2_lattice3(sK3)
| v2_lattice3(X0) ),
inference(resolution,[],[f628,f1171]) ).
fof(f1602,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ v2_lattice3(sK3)
| v2_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f1597,f500]) ).
fof(f1605,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v4_orders_2(sK3)
| ~ v2_lattice3(sK3)
| v2_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f1602,f499]) ).
fof(f1608,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| ~ v2_lattice3(sK3)
| v2_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f1605,f498]) ).
fof(f1614,plain,
! [X0] :
( ~ m1_yellow_9(X0,sK3)
| v2_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f1608,f496]) ).
fof(f1618,plain,
v2_lattice3(sK43(sK3)),
inference(resolution,[],[f1614,f1215]) ).
fof(f1641,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK43(sK3)),u1_orders_2(sK43(sK3)))
| ~ l1_waybel_9(X0)
| m1_yellow_9(X0,sK43(sK3)) ),
inference(resolution,[],[f754,f1220]) ).
fof(f1642,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
| ~ l1_waybel_9(X0)
| m1_yellow_9(X0,sK43(sK3)) ),
inference(forward_demodulation,[],[f1641,f1353]) ).
fof(f1665,plain,
( ~ l1_waybel_9(sK3)
| m1_yellow_9(sK3,sK43(sK3)) ),
inference(equality_resolution,[],[f1642]) ).
fof(f1668,plain,
m1_yellow_9(sK3,sK43(sK3)),
inference(forward_subsumption_resolution,[],[f1665,f493]) ).
fof(f1669,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v2_orders_2(sK43(sK3))
| ~ v3_orders_2(sK43(sK3))
| ~ v4_orders_2(sK43(sK3))
| ~ v1_lattice3(sK43(sK3))
| ~ v2_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3))
| ~ l1_orders_2(sK43(sK3)) ),
inference(resolution,[],[f1668,f1532]) ).
fof(f1676,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v3_orders_2(sK43(sK3))
| ~ v4_orders_2(sK43(sK3))
| ~ v1_lattice3(sK43(sK3))
| ~ v2_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3))
| ~ l1_orders_2(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1669,f1335]) ).
fof(f1677,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v4_orders_2(sK43(sK3))
| ~ v1_lattice3(sK43(sK3))
| ~ v2_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3))
| ~ l1_orders_2(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1676,f1347]) ).
fof(f1678,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v1_lattice3(sK43(sK3))
| ~ v2_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3))
| ~ l1_orders_2(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1677,f1349]) ).
fof(f1679,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v1_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3))
| ~ l1_orders_2(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1678,f1618]) ).
fof(f1680,plain,
! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| ~ sP2(X0)
| m2_yellow_9(sK3,sK43(X0))
| ~ v1_lattice3(sK43(sK3))
| ~ v3_lattice3(sK43(sK3)) ),
inference(forward_subsumption_resolution,[],[f1679,f1220]) ).
fof(f1682,definition,
( spl61_30
<=> ! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| m2_yellow_9(sK3,sK43(X0))
| ~ sP2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl61_30])],[avatar_definition]) ).
fof(f1683,plain,
( ! [X0] :
( ~ m1_yellow_9(sK43(X0),sK43(sK3))
| m2_yellow_9(sK3,sK43(X0))
| ~ sP2(X0) )
| ~ spl61_30 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1684,plain,
( ~ spl61_11
| ~ spl61_13
| spl61_30 ),
inference(avatar_split_clause,[],[f1680,f1682,f1384,f1378]) ).
fof(f1703,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| u1_orders_2(X0) = X2
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(X1,X2) ),
inference(resolution,[],[f871,f1179]) ).
fof(f1704,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)) != g1_orders_2(X1,X0)
| u1_orders_2(sK3) = X0 ),
inference(resolution,[],[f1703,f1171]) ).
fof(f1709,plain,
( g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)) != g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
| u1_orders_2(sK3) = u1_orders_2(sK43(sK3)) ),
inference(superposition,[],[f1704,f1353]) ).
fof(f1714,plain,
u1_orders_2(sK3) = u1_orders_2(sK43(sK3)),
inference(trivial_inequality_removal,[],[f1709]) ).
fof(f1715,plain,
g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)) = g1_orders_2(u1_struct_0(sK43(sK3)),u1_orders_2(sK3)),
inference(superposition,[],[f1353,f1714]) ).
fof(f1719,plain,
( m1_relset_1(u1_orders_2(sK3),u1_struct_0(sK43(sK3)),u1_struct_0(sK43(sK3)))
| ~ l1_orders_2(sK43(sK3)) ),
inference(superposition,[],[f1179,f1714]) ).
fof(f1722,plain,
m1_relset_1(u1_orders_2(sK3),u1_struct_0(sK43(sK3)),u1_struct_0(sK43(sK3))),
inference(forward_subsumption_resolution,[],[f1719,f1220]) ).
fof(f1760,plain,
! [X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(u1_struct_0(sK43(sK3)),u1_orders_2(sK3))
| u1_struct_0(sK43(sK3)) = X0 ),
inference(resolution,[],[f872,f1722]) ).
fof(f1763,plain,
! [X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
| u1_struct_0(sK43(sK3)) = X0 ),
inference(forward_demodulation,[],[f1760,f1715]) ).
fof(f1767,plain,
u1_struct_0(sK3) = u1_struct_0(sK43(sK3)),
inference(equality_resolution,[],[f1763]) ).
fof(f1775,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k1_struct_0(sK43(sK3),X0) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),X0)) )
| ~ spl61_20 ),
inference(superposition,[],[f1485,f1767]) ).
fof(f1877,plain,
( k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3)))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| ~ spl61_20 ),
inference(resolution,[],[f1775,f1150]) ).
fof(f1878,plain,
( k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3)))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| ~ spl61_20 ),
inference(forward_subsumption_resolution,[],[f1877,f1166]) ).
fof(f1882,plain,
( k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3)))
| v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_1
| ~ spl61_20 ),
inference(forward_subsumption_resolution,[],[f1878,f501]) ).
fof(f1884,plain,
( k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3)))
| v3_struct_0(sK3)
| spl61_1
| ~ spl61_20 ),
inference(forward_subsumption_resolution,[],[f1882,f1185]) ).
fof(f1887,definition,
( spl61_39
<=> k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_39])],[avatar_definition]) ).
fof(f1888,plain,
( k1_struct_0(sK43(sK3),sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_struct_0(sK43(sK3),sK60(sK3)))
| ~ spl61_39 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1889,plain,
( spl61_3
| spl61_39
| spl61_1
| ~ spl61_20 ),
inference(avatar_split_clause,[],[f1884,f1484,f1165,f1887,f1190]) ).
fof(f2022,plain,
( m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(sK3)))))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| v2_compts_1(sK3) ),
inference(resolution,[],[f1140,f1185]) ).
fof(f2035,plain,
( m2_yellow_9(sK3,sK43(sK3))
| ~ sP2(sK3)
| ~ spl61_30 ),
inference(resolution,[],[f1218,f1683]) ).
fof(f2042,plain,
( m2_yellow_9(sK3,sK43(sK3))
| ~ spl61_30 ),
inference(forward_subsumption_resolution,[],[f2035,f1178]) ).
fof(f2046,plain,
( v1_xboole_0(u1_struct_0(sK3))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| r2_hidden(sK60(sK3),u1_struct_0(sK3)) ),
inference(resolution,[],[f1339,f1185]) ).
fof(f2047,plain,
( v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| r2_hidden(sK60(sK3),u1_struct_0(sK3)) ),
inference(forward_subsumption_resolution,[],[f2046,f1262]) ).
fof(f2048,plain,
( v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| r2_hidden(sK60(sK3),u1_struct_0(sK3))
| spl61_1 ),
inference(forward_subsumption_resolution,[],[f2047,f1166]) ).
fof(f2049,plain,
( v3_struct_0(sK3)
| r2_hidden(sK60(sK3),u1_struct_0(sK3))
| spl61_1 ),
inference(forward_subsumption_resolution,[],[f2048,f501]) ).
fof(f2051,definition,
( spl61_41
<=> r2_hidden(sK60(sK3),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_41])],[avatar_definition]) ).
fof(f2052,plain,
( r2_hidden(sK60(sK3),u1_struct_0(sK3))
| ~ spl61_41 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f2053,plain,
( spl61_41
| spl61_3
| spl61_1 ),
inference(avatar_split_clause,[],[f2049,f1165,f1190,f2051]) ).
fof(f2057,plain,
( m1_subset_1(sK60(sK3),u1_struct_0(sK3))
| ~ spl61_41 ),
inference(resolution,[],[f2052,f1128]) ).
fof(f2382,plain,
! [X0,X1] :
( ~ v4_pre_topc(X0,sK43(sK3))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK43(sK3))))
| ~ m2_yellow_9(X1,sK43(sK3))
| ~ v2_pre_topc(sK43(sK3))
| v4_pre_topc(X0,X1) ),
inference(resolution,[],[f1219,f1130]) ).
fof(f2403,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_pre_topc(X0,sK43(sK3))
| ~ m2_yellow_9(X1,sK43(sK3))
| ~ v2_pre_topc(sK43(sK3))
| v4_pre_topc(X0,X1) ),
inference(forward_demodulation,[],[f2382,f1767]) ).
fof(f2423,definition,
( spl61_71
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_pre_topc(X0,X1)
| ~ m2_yellow_9(X1,sK43(sK3))
| ~ v4_pre_topc(X0,sK43(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl61_71])],[avatar_definition]) ).
fof(f2424,plain,
( ! [X0,X1] :
( ~ m2_yellow_9(X1,sK43(sK3))
| v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_pre_topc(X0,sK43(sK3)) )
| ~ spl61_71 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f2425,plain,
( ~ spl61_18
| spl61_71 ),
inference(avatar_split_clause,[],[f2403,f2423,f1478]) ).
fof(f2552,plain,
( ! [X0] :
( ~ v4_pre_topc(X0,sK43(sK3))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_pre_topc(X0,sK3) )
| ~ spl61_30
| ~ spl61_71 ),
inference(resolution,[],[f2424,f2042]) ).
fof(f2769,plain,
! [X0] :
( ~ v2_pre_topc(sK43(sK3))
| k6_pre_topc(sK43(sK3),X0) != X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK43(sK3))))
| v4_pre_topc(X0,sK43(sK3)) ),
inference(resolution,[],[f1153,f1219]) ).
fof(f2770,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v2_pre_topc(sK43(sK3))
| k6_pre_topc(sK43(sK3),X0) != X0
| v4_pre_topc(X0,sK43(sK3)) ),
inference(forward_demodulation,[],[f2769,f1767]) ).
fof(f2773,definition,
( spl61_103
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_pre_topc(X0,sK43(sK3))
| k6_pre_topc(sK43(sK3),X0) != X0 ) ),
introduced(definition,[new_symbols(definition,[spl61_103])],[avatar_definition]) ).
fof(f2774,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_pre_topc(X0,sK43(sK3))
| k6_pre_topc(sK43(sK3),X0) != X0 )
| ~ spl61_103 ),
inference(avatar_component_clause,[],[f2773]) ).
fof(f2775,plain,
( ~ spl61_18
| spl61_103 ),
inference(avatar_split_clause,[],[f2770,f2773,f1478]) ).
fof(f2787,plain,
( v4_pre_topc(k1_tarski(sK60(sK3)),sK43(sK3))
| k1_tarski(sK60(sK3)) != k6_pre_topc(sK43(sK3),k1_tarski(sK60(sK3)))
| ~ spl61_16
| ~ spl61_103 ),
inference(resolution,[],[f2774,f1422]) ).
fof(f2807,definition,
( spl61_108
<=> k1_tarski(sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_tarski(sK60(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_108])],[avatar_definition]) ).
fof(f2808,plain,
( k1_tarski(sK60(sK3)) != k6_pre_topc(sK43(sK3),k1_tarski(sK60(sK3)))
| spl61_108 ),
inference(avatar_component_clause,[],[f2807]) ).
fof(f2810,definition,
( spl61_109
<=> v4_pre_topc(k1_tarski(sK60(sK3)),sK43(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_109])],[avatar_definition]) ).
fof(f2811,plain,
( v4_pre_topc(k1_tarski(sK60(sK3)),sK43(sK3))
| ~ spl61_109 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2812,plain,
( ~ spl61_108
| spl61_109
| ~ spl61_16
| ~ spl61_103 ),
inference(avatar_split_clause,[],[f2787,f2773,f1421,f2810,f2807]) ).
fof(f5687,plain,
! [X0] :
( v3_struct_0(sK43(sK3))
| k1_tarski(X0) = k1_struct_0(sK43(sK3),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK43(sK3))) ),
inference(resolution,[],[f1360,f1124]) ).
fof(f5690,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| v3_struct_0(sK43(sK3))
| k1_tarski(X0) = k1_struct_0(sK43(sK3),X0) ),
inference(forward_demodulation,[],[f5687,f1767]) ).
fof(f5695,definition,
( spl61_320
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k1_tarski(X0) = k1_struct_0(sK43(sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl61_320])],[avatar_definition]) ).
fof(f5696,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k1_tarski(X0) = k1_struct_0(sK43(sK3),X0) )
| ~ spl61_320 ),
inference(avatar_component_clause,[],[f5695]) ).
fof(f5697,plain,
( spl61_19
| spl61_320 ),
inference(avatar_split_clause,[],[f5690,f5695,f1481]) ).
fof(f5785,plain,
( k1_tarski(sK60(sK3)) = k1_struct_0(sK43(sK3),sK60(sK3))
| ~ spl61_41
| ~ spl61_320 ),
inference(resolution,[],[f5696,f2057]) ).
fof(f5849,plain,
( k1_tarski(sK60(sK3)) = k6_pre_topc(sK43(sK3),k1_tarski(sK60(sK3)))
| ~ spl61_39
| ~ spl61_41
| ~ spl61_320 ),
inference(superposition,[],[f1888,f5785]) ).
fof(f5851,plain,
( $false
| ~ spl61_39
| ~ spl61_41
| spl61_108
| ~ spl61_320 ),
inference(forward_subsumption_resolution,[],[f5849,f2808]) ).
fof(f5852,plain,
( ~ spl61_39
| ~ spl61_41
| spl61_108
| ~ spl61_320 ),
inference(avatar_contradiction_clause,[],[f5851]) ).
fof(f10603,plain,
( ~ m1_subset_1(k1_tarski(sK60(sK3)),k1_zfmisc_1(u1_struct_0(sK3)))
| v4_pre_topc(k1_tarski(sK60(sK3)),sK3)
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(resolution,[],[f2552,f2811]) ).
fof(f10618,plain,
( v4_pre_topc(k1_tarski(sK60(sK3)),sK3)
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(forward_subsumption_resolution,[],[f10603,f1422]) ).
fof(f10697,plain,
( k1_tarski(sK60(sK3)) = k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| ~ m1_subset_1(k1_tarski(sK60(sK3)),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(resolution,[],[f10618,f1154]) ).
fof(f10703,plain,
( k1_tarski(sK60(sK3)) = k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| ~ l1_pre_topc(sK3)
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(forward_subsumption_resolution,[],[f10697,f1422]) ).
fof(f10704,plain,
( v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f1248,f1169]) ).
fof(f10705,plain,
( v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f1247,f1169]) ).
fof(f10706,plain,
( v13_waybel_0(sK58(sK3),k3_yellow_1(k2_pre_topc(sK3)))
| v3_struct_0(sK3)
| v2_compts_1(sK3) ),
inference(forward_subsumption_resolution,[],[f1307,f501]) ).
fof(f10708,plain,
( m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(sK3)))))
| v3_struct_0(sK3)
| v2_compts_1(sK3) ),
inference(forward_subsumption_resolution,[],[f2022,f501]) ).
fof(f10711,plain,
( k1_tarski(sK60(sK3)) != k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| ~ spl61_7 ),
inference(forward_subsumption_resolution,[],[f1298,f501]) ).
fof(f10718,plain,
( k1_tarski(sK60(sK3)) = k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(forward_subsumption_resolution,[],[f10703,f1185]) ).
fof(f10719,plain,
( v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10704,f501]) ).
fof(f10720,plain,
( v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10705,f501]) ).
fof(f10721,plain,
( v13_waybel_0(sK58(sK3),k3_yellow_1(k2_pre_topc(sK3)))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10706,f1169]) ).
fof(f10723,plain,
( m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(k2_pre_topc(sK3)))))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10708,f1169]) ).
fof(f10726,plain,
( k1_tarski(sK60(sK3)) != k6_pre_topc(sK3,k1_tarski(sK60(sK3)))
| v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ spl61_7 ),
inference(forward_subsumption_resolution,[],[f10711,f1185]) ).
fof(f10742,plain,
( v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10719,f1185]) ).
fof(f10743,plain,
( v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f10720,f1185]) ).
fof(f10744,plain,
( v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_demodulation,[],[f10721,f1235]) ).
fof(f10746,plain,
( m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| v3_struct_0(sK3)
| spl61_2 ),
inference(forward_demodulation,[],[f10723,f1235]) ).
fof(f10749,plain,
( v1_urysohn1(sK3)
| v3_struct_0(sK3)
| ~ spl61_7
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(forward_subsumption_resolution,[],[f10726,f10718]) ).
fof(f10755,definition,
( spl61_633
<=> v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_633])],[avatar_definition]) ).
fof(f10756,plain,
( v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ spl61_633 ),
inference(avatar_component_clause,[],[f10755]) ).
fof(f10757,plain,
( spl61_3
| spl61_633
| spl61_2 ),
inference(avatar_split_clause,[],[f10742,f1168,f10755,f1190]) ).
fof(f10759,definition,
( spl61_634
<=> v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_634])],[avatar_definition]) ).
fof(f10760,plain,
( v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ spl61_634 ),
inference(avatar_component_clause,[],[f10759]) ).
fof(f10761,plain,
( spl61_3
| spl61_634
| spl61_2 ),
inference(avatar_split_clause,[],[f10743,f1168,f10759,f1190]) ).
fof(f10763,definition,
( spl61_635
<=> v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl61_635])],[avatar_definition]) ).
fof(f10764,plain,
( v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ spl61_635 ),
inference(avatar_component_clause,[],[f10763]) ).
fof(f10765,plain,
( spl61_3
| spl61_635
| spl61_2 ),
inference(avatar_split_clause,[],[f10744,f1168,f10763,f1190]) ).
fof(f10768,definition,
( spl61_636
<=> m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3))))) ),
introduced(definition,[new_symbols(definition,[spl61_636])],[avatar_definition]) ).
fof(f10769,plain,
( m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_636 ),
inference(avatar_component_clause,[],[f10768]) ).
fof(f10770,plain,
( spl61_3
| spl61_636
| spl61_2 ),
inference(avatar_split_clause,[],[f10746,f1168,f10768,f1190]) ).
fof(f10774,plain,
( spl61_3
| spl61_1
| ~ spl61_7
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(avatar_split_clause,[],[f10749,f2810,f2423,f1682,f1421,f1290,f1165,f1190]) ).
fof(f10801,definition,
( spl61_640
<=> v1_xboole_0(sK58(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_640])],[avatar_definition]) ).
fof(f10802,plain,
( v1_xboole_0(sK58(sK3))
| ~ spl61_640 ),
inference(avatar_component_clause,[],[f10801]) ).
fof(f10805,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_4 ),
inference(resolution,[],[f1194,f1276]) ).
fof(f10814,plain,
( v2_compts_1(sK3)
| v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| ~ spl61_640 ),
inference(resolution,[],[f10802,f1144]) ).
fof(f10862,plain,
( v3_struct_0(sK3)
| ~ v2_pre_topc(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2
| ~ spl61_640 ),
inference(forward_subsumption_resolution,[],[f10814,f1169]) ).
fof(f10863,plain,
( v3_struct_0(sK3)
| ~ l1_pre_topc(sK3)
| spl61_2
| ~ spl61_640 ),
inference(forward_subsumption_resolution,[],[f10862,f501]) ).
fof(f10864,plain,
( v3_struct_0(sK3)
| spl61_2
| ~ spl61_640 ),
inference(forward_subsumption_resolution,[],[f10863,f1185]) ).
fof(f10865,plain,
( spl61_3
| spl61_2
| ~ spl61_640 ),
inference(avatar_split_clause,[],[f10864,f10801,f1168,f1190]) ).
fof(f10866,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| v1_xboole_0(sK58(sK3))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_4
| ~ spl61_633 ),
inference(forward_subsumption_resolution,[],[f10805,f10756]) ).
fof(f10867,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| v1_xboole_0(sK58(sK3))
| ~ v3_waybel_7(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_4
| ~ spl61_633
| ~ spl61_635 ),
inference(forward_subsumption_resolution,[],[f10866,f10764]) ).
fof(f10868,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| v1_xboole_0(sK58(sK3))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_4
| ~ spl61_633
| ~ spl61_634
| ~ spl61_635 ),
inference(forward_subsumption_resolution,[],[f10867,f10760]) ).
fof(f10869,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| v1_xboole_0(sK58(sK3))
| ~ spl61_4
| ~ spl61_633
| ~ spl61_634
| ~ spl61_635
| ~ spl61_636 ),
inference(forward_subsumption_resolution,[],[f10868,f10769]) ).
fof(f10871,definition,
( spl61_651
<=> m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl61_651])],[avatar_definition]) ).
fof(f10872,plain,
( ~ m1_subset_1(k1_waybel33(sK3,u1_struct_0(sK3),sK58(sK3)),u1_struct_0(sK3))
| spl61_651 ),
inference(avatar_component_clause,[],[f10871]) ).
fof(f10873,plain,
( spl61_640
| ~ spl61_651
| ~ spl61_4
| ~ spl61_633
| ~ spl61_634
| ~ spl61_635
| ~ spl61_636 ),
inference(avatar_split_clause,[],[f10869,f10768,f10763,f10759,f10755,f1193,f10871,f10801]) ).
fof(f10882,plain,
( v3_struct_0(sK3)
| ~ v2_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ l1_orders_2(sK3)
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(resolution,[],[f10872,f758]) ).
fof(f10883,plain,
( v3_struct_0(sK3)
| ~ v3_orders_2(sK3)
| ~ v4_orders_2(sK3)
| ~ l1_orders_2(sK3)
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10882,f500]) ).
fof(f10884,plain,
( v3_struct_0(sK3)
| ~ v4_orders_2(sK3)
| ~ l1_orders_2(sK3)
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10883,f499]) ).
fof(f10885,plain,
( v3_struct_0(sK3)
| ~ l1_orders_2(sK3)
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10884,f498]) ).
fof(f10886,plain,
( v3_struct_0(sK3)
| v1_xboole_0(u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10885,f1171]) ).
fof(f10887,plain,
( v3_struct_0(sK3)
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10886,f1262]) ).
fof(f10888,plain,
( v3_struct_0(sK3)
| v1_xboole_0(sK58(sK3))
| ~ v2_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10887,f1211]) ).
fof(f10889,plain,
( v3_struct_0(sK3)
| v1_xboole_0(sK58(sK3))
| ~ v13_waybel_0(sK58(sK3),k3_yellow_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_633
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10888,f10756]) ).
fof(f10890,plain,
( v3_struct_0(sK3)
| v1_xboole_0(sK58(sK3))
| ~ m1_subset_1(sK58(sK3),k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(sK3)))))
| ~ spl61_633
| ~ spl61_635
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10889,f10764]) ).
fof(f10891,plain,
( v3_struct_0(sK3)
| v1_xboole_0(sK58(sK3))
| ~ spl61_633
| ~ spl61_635
| ~ spl61_636
| spl61_651 ),
inference(forward_subsumption_resolution,[],[f10890,f10769]) ).
fof(f10892,plain,
( spl61_640
| spl61_3
| ~ spl61_633
| ~ spl61_635
| ~ spl61_636
| spl61_651 ),
inference(avatar_split_clause,[],[f10891,f10871,f10768,f10763,f10755,f1190,f10801]) ).
cnf(s1,plain,
( ~ spl61_1
| ~ spl61_2 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s2,plain,
( spl61_2
| spl61_3
| spl61_4 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s4,plain,
~ spl61_3,
inference(sat_conversion,[],[f1207]) ).
cnf(s5,plain,
( spl61_3
| spl61_5 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s7,plain,
( spl61_1
| spl61_3
| ~ spl61_5
| spl61_7 ),
inference(sat_conversion,[],[f1292]) ).
cnf(s12,plain,
spl61_11,
inference(sat_conversion,[],[f1391]) ).
cnf(s16,plain,
spl61_13,
inference(sat_conversion,[],[f1401]) ).
cnf(s17,plain,
( spl61_3
| spl61_14 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s18,plain,
( ~ spl61_7
| ~ spl61_14
| ~ spl61_15
| spl61_16 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s19,plain,
( spl61_1
| spl61_3
| spl61_15 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s21,plain,
( ~ spl61_18
| spl61_19
| spl61_20 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s23,plain,
spl61_18,
inference(sat_conversion,[],[f1491]) ).
cnf(s24,plain,
~ spl61_19,
inference(sat_conversion,[],[f1496]) ).
cnf(s43,plain,
( ~ spl61_11
| ~ spl61_13
| spl61_30 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s50,plain,
( spl61_1
| spl61_3
| ~ spl61_20
| spl61_39 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s52,plain,
( spl61_1
| spl61_3
| spl61_41 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s78,plain,
( ~ spl61_18
| spl61_71 ),
inference(sat_conversion,[],[f2425]) ).
cnf(s115,plain,
( ~ spl61_18
| spl61_103 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s118,plain,
( ~ spl61_16
| ~ spl61_103
| ~ spl61_108
| spl61_109 ),
inference(sat_conversion,[],[f2812]) ).
cnf(s334,plain,
( spl61_19
| spl61_320 ),
inference(sat_conversion,[],[f5697]) ).
cnf(s349,plain,
( ~ spl61_39
| ~ spl61_41
| spl61_108
| ~ spl61_320 ),
inference(sat_conversion,[],[f5852]) ).
cnf(s663,plain,
( spl61_2
| spl61_3
| spl61_633 ),
inference(sat_conversion,[],[f10757]) ).
cnf(s664,plain,
( spl61_2
| spl61_3
| spl61_634 ),
inference(sat_conversion,[],[f10761]) ).
cnf(s665,plain,
( spl61_2
| spl61_3
| spl61_635 ),
inference(sat_conversion,[],[f10765]) ).
cnf(s666,plain,
( spl61_2
| spl61_3
| spl61_636 ),
inference(sat_conversion,[],[f10770]) ).
cnf(s667,plain,
( spl61_1
| spl61_3
| ~ spl61_7
| ~ spl61_16
| ~ spl61_30
| ~ spl61_71
| ~ spl61_109 ),
inference(sat_conversion,[],[f10774]) ).
cnf(s680,plain,
( spl61_2
| spl61_3
| ~ spl61_640 ),
inference(sat_conversion,[],[f10865]) ).
cnf(s681,plain,
( ~ spl61_4
| ~ spl61_633
| ~ spl61_634
| ~ spl61_635
| ~ spl61_636
| spl61_640
| ~ spl61_651 ),
inference(sat_conversion,[],[f10873]) ).
cnf(s683,plain,
( spl61_3
| ~ spl61_633
| ~ spl61_635
| ~ spl61_636
| spl61_640
| spl61_651 ),
inference(sat_conversion,[],[f10892]) ).
cnf(s742,plain,
spl61_320,
inference(rat,[],[s334,s24]) ).
cnf(s766,plain,
spl61_103,
inference(rat,[],[s115,s23]) ).
cnf(s770,plain,
spl61_71,
inference(rat,[],[s78,s23]) ).
cnf(s792,plain,
spl61_20,
inference(rat,[],[s21,s24,s23]) ).
cnf(s798,plain,
spl61_30,
inference(rat,[],[s43,s16,s12]) ).
cnf(s856,plain,
spl61_14,
inference(rat,[],[s17,s4]) ).
cnf(s858,plain,
spl61_5,
inference(rat,[],[s5,s4]) ).
cnf(s904,plain,
( spl61_2
| spl61_4 ),
inference(rat,[],[s2,s4]) ).
cnf(s905,plain,
spl61_1,
inference(rat,[],[s667,s118,s18,s349,s7,s19,s50,s52,s4,s798,s770,s766,s856,s742,s858,s792]) ).
cnf(s908,plain,
~ spl61_2,
inference(rat,[],[s1,s905]) ).
cnf(s909,plain,
~ spl61_640,
inference(rat,[],[s680,s4,s908]) ).
cnf(s912,plain,
spl61_636,
inference(rat,[],[s666,s4,s908]) ).
cnf(s913,plain,
spl61_635,
inference(rat,[],[s665,s4,s908]) ).
cnf(s914,plain,
spl61_634,
inference(rat,[],[s664,s4,s908]) ).
cnf(s915,plain,
spl61_633,
inference(rat,[],[s663,s4,s908]) ).
cnf(s916,plain,
spl61_4,
inference(rat,[],[s904,s908]) ).
cnf(s917,plain,
spl61_651,
inference(rat,[],[s683,s913,s909,s912,s4,s915]) ).
cnf(s918,plain,
$false,
inference(rat,[],[s681,s917,s909,s912,s913,s914,s915,s916]) ).
fof(f10893,plain,
$false,
inference(avatar_sat_refutation,[],[s918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP048+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n004.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 19:06:52 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 11.87/2.35 % (660395)Detected formulas, will run a generic FOF schedule.
% 11.87/2.35 % (660405)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3903739132:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.87/2.35 % (660406)dis-21_1_sil=8000:lcm=predicate:random_seed=2653331925: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)
% 11.87/2.35 % (660404)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4122853043:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.87/2.35 % (660400)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=4194374904:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.87/2.35 % (660401)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=2948169873:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.87/2.35 % (660402)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=812444286:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.87/2.35 % (660403)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3135605488:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.87/2.35 % (660403)Refutation not found, incomplete strategy
% 11.87/2.35 % (660403)------------------------------
% 11.87/2.35 % (660403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.35 % (660403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.35 % (660403)CaDiCaL version: 2.1.3
% 11.87/2.35 % (660403)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.35 % (660403)Time elapsed: 0.002 s
% 11.87/2.35 % (660403)Peak memory usage: 88 MB
% 11.87/2.35 % (660403)Instructions burned: 1 (million)
% 11.87/2.35 % (660405)Instruction limit reached!
% 11.87/2.35 % (660405)------------------------------
% 11.87/2.35 % (660405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.35 % (660405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.35 % (660405)CaDiCaL version: 2.1.3
% 11.87/2.35 % (660405)Termination reason: Instruction limit
% 11.87/2.35 % (660405)Termination phase: Saturation
% 11.87/2.35 % (660405)Time elapsed: 0.051 s
% 11.87/2.35 % (660405)Peak memory usage: 91 MB
% 11.87/2.35 % (660405)Instructions burned: 140 (million)
% 11.87/2.35 % (660404)Refutation not found, incomplete strategy
% 11.87/2.35 % (660404)------------------------------
% 11.87/2.35 % (660404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.35 % (660404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.35 % (660404)CaDiCaL version: 2.1.3
% 11.87/2.35 % (660404)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.35 % (660404)Time elapsed: 0.008 s
% 11.87/2.35 % (660404)Peak memory usage: 88 MB
% 11.87/2.35 % (660404)Instructions burned: 12 (million)
% 11.87/2.35 % (660406)Instruction limit reached!
% 11.87/2.35 % (660406)------------------------------
% 11.87/2.35 % (660406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.35 % (660406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.35 % (660406)CaDiCaL version: 2.1.3
% 11.87/2.35 % (660406)Termination reason: Instruction limit
% 11.87/2.35 % (660406)Termination phase: Saturation
% 11.87/2.35 % (660406)Time elapsed: 0.069 s
% 11.87/2.35 % (660406)Peak memory usage: 91 MB
% 11.87/2.35 % (660406)Instructions burned: 129 (million)
% 11.87/2.35 % (660414)lrs+10_1_sil=8000:sp=occurrence:random_seed=1934407233:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.87/2.35 % (660414)Instruction limit reached!
% 11.87/2.35 % (660414)------------------------------
% 11.87/2.35 % (660414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.35 % (660414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.35 % (660414)CaDiCaL version: 2.1.3
% 11.87/2.35 % (660414)Termination reason: Instruction limit
% 11.87/2.35 % (660414)Termination phase: Saturation
% 11.87/2.35 % (660414)Time elapsed: 0.088 s
% 11.87/2.35 % (660414)Peak memory usage: 93 MB
% 11.87/2.35 % (660414)Instructions burned: 288 (million)
% 11.87/2.35 % (660403)------------------------------
% 11.87/2.35 % (660403)------------------------------
% 13.08/2.92 % (660415)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3644113867:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.08/2.92 % (660404)------------------------------
% 13.08/2.92 % (660404)------------------------------
% 13.08/2.92 % (660415)Refutation not found, incomplete strategy
% 13.08/2.92 % (660415)------------------------------
% 13.08/2.92 % (660415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660415)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660415)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660415)Time elapsed: 0.004 s
% 13.08/2.92 % (660415)Peak memory usage: 88 MB
% 13.08/2.92 % (660415)Instructions burned: 5 (million)
% 13.08/2.92 % (660417)lrs+1011_1_sil=32000:sp=occurrence:random_seed=633502420:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.08/2.92 % (660420)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2803863789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.08/2.92 % (660419)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=1026904157:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.08/2.92 % (660420)Refutation not found, incomplete strategy
% 13.08/2.92 % (660420)------------------------------
% 13.08/2.92 % (660420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660420)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660420)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660420)Time elapsed: 0.008 s
% 13.08/2.92 % (660420)Peak memory usage: 89 MB
% 13.08/2.92 % (660420)Instructions burned: 12 (million)
% 13.08/2.92 % (660417)Instruction limit reached!
% 13.08/2.92 % (660417)------------------------------
% 13.08/2.92 % (660417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660417)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660417)Termination reason: Instruction limit
% 13.08/2.92 % (660417)Termination phase: Saturation
% 13.08/2.92 % (660417)Time elapsed: 0.097 s
% 13.08/2.92 % (660417)Peak memory usage: 90 MB
% 13.08/2.92 % (660417)Instructions burned: 328 (million)
% 13.08/2.92 % (660415)------------------------------
% 13.08/2.92 % (660415)------------------------------
% 13.08/2.92 % (660419)Instruction limit reached!
% 13.08/2.92 % (660419)------------------------------
% 13.08/2.92 % (660419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660419)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660419)Termination reason: Instruction limit
% 13.08/2.92 % (660419)Termination phase: Saturation
% 13.08/2.92 % (660419)Time elapsed: 0.139 s
% 13.08/2.92 % (660419)Peak memory usage: 91 MB
% 13.08/2.92 % (660419)Instructions burned: 249 (million)
% 13.08/2.92 % (660424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3059257140:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.08/2.92 % (660425)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2544276290:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 13.08/2.92 % (660420)------------------------------
% 13.08/2.92 % (660420)------------------------------
% 13.08/2.92 % (660427)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=82720337:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.08/2.92 % (660425)Instruction limit reached!
% 13.08/2.92 % (660425)------------------------------
% 13.08/2.92 % (660425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660425)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660425)Termination reason: Instruction limit
% 13.08/2.92 % (660425)Termination phase: Saturation
% 13.08/2.92 % (660425)Time elapsed: 0.071 s
% 13.08/2.92 % (660425)Peak memory usage: 91 MB
% 13.08/2.92 % (660425)Instructions burned: 114 (million)
% 13.08/2.92 % (660427)Instruction limit reached!
% 13.08/2.92 % (660427)------------------------------
% 13.08/2.92 % (660427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660427)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660427)Termination reason: Instruction limit
% 13.08/2.92 % (660427)Termination phase: Saturation
% 13.08/2.92 % (660427)Time elapsed: 0.067 s
% 13.08/2.92 % (660427)Peak memory usage: 89 MB
% 13.08/2.92 % (660427)Instructions burned: 128 (million)
% 13.08/2.92 % (660429)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3699842056:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 13.08/2.92 % (660429)Refutation not found, incomplete strategy
% 13.08/2.92 % (660429)------------------------------
% 13.08/2.92 % (660429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660429)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660429)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660429)Time elapsed: 0.003 s
% 13.08/2.92 % (660429)Peak memory usage: 89 MB
% 13.08/2.92 % (660429)Instructions burned: 3 (million)
% 13.08/2.92 % (660431)lrs+10_1_sil=8000:sp=occurrence:random_seed=2012344455:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.08/2.92 % (660432)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1915372071:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.08/2.92 % (660432)Refutation not found, incomplete strategy
% 13.08/2.92 % (660432)------------------------------
% 13.08/2.92 % (660432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660432)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660432)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660432)Time elapsed: 0.012 s
% 13.08/2.92 % (660432)Peak memory usage: 89 MB
% 13.08/2.92 % (660432)Instructions burned: 21 (million)
% 13.08/2.92 % (660429)------------------------------
% 13.08/2.92 % (660429)------------------------------
% 13.08/2.92 % (660432)------------------------------
% 13.08/2.92 % (660432)------------------------------
% 13.08/2.92 % (660436)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3300572365:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 13.08/2.92 % (660437)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=845837063:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 13.08/2.92 % (660424)Instruction limit reached!
% 13.08/2.92 % (660424)------------------------------
% 13.08/2.92 % (660424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660424)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660424)Termination reason: Instruction limit
% 13.08/2.92 % (660424)Termination phase: Saturation
% 13.08/2.92 % (660424)Time elapsed: 0.837 s
% 13.08/2.92 % (660424)Peak memory usage: 143 MB
% 13.08/2.92 % (660424)Instructions burned: 2352 (million)
% 13.08/2.92 % (660431)Instruction limit reached!
% 13.08/2.92 % (660431)------------------------------
% 13.08/2.92 % (660431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660431)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660431)Termination reason: Instruction limit
% 13.08/2.92 % (660431)Termination phase: Saturation
% 13.08/2.92 % (660431)Time elapsed: 0.524 s
% 13.08/2.92 % (660431)Peak memory usage: 100 MB
% 13.08/2.92 % (660431)Instructions burned: 909 (million)
% 13.08/2.92 % (660437)Instruction limit reached!
% 13.08/2.92 % (660437)------------------------------
% 13.08/2.92 % (660437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660437)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660437)Termination reason: Instruction limit
% 13.08/2.92 % (660437)Termination phase: Saturation
% 13.08/2.92 % (660437)Time elapsed: 0.075 s
% 13.08/2.92 % (660437)Peak memory usage: 91 MB
% 13.08/2.92 % (660437)Instructions burned: 135 (million)
% 13.08/2.92 % (660442)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1151521625:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 13.08/2.92 % (660442)Refutation not found, incomplete strategy
% 13.08/2.92 % (660442)------------------------------
% 13.08/2.92 % (660442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660442)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660442)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660442)Time elapsed: 0.007 s
% 13.08/2.92 % (660442)Peak memory usage: 89 MB
% 13.08/2.92 % (660442)Instructions burned: 22 (million)
% 13.08/2.92 % (660443)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3314273888:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 13.08/2.92 % (660444)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=4274175734:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 13.08/2.92 % (660444)Instruction limit reached!
% 13.08/2.92 % (660444)------------------------------
% 13.08/2.92 % (660444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660444)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660444)Termination reason: Instruction limit
% 13.08/2.92 % (660444)Termination phase: Saturation
% 13.08/2.92 % (660444)Time elapsed: 0.078 s
% 13.08/2.92 % (660444)Peak memory usage: 91 MB
% 13.08/2.92 % (660444)Instructions burned: 127 (million)
% 13.08/2.92 % (660442)------------------------------
% 13.08/2.92 % (660442)------------------------------
% 13.08/2.92 % (660449)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=273097677:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 13.08/2.92 % (660449)Refutation not found, incomplete strategy
% 13.08/2.92 % (660449)------------------------------
% 13.08/2.92 % (660449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660449)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660449)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.92 % (660449)Time elapsed: 0.002 s
% 13.08/2.92 % (660449)Peak memory usage: 88 MB
% 13.08/2.92 % (660449)Instructions burned: 2 (million)
% 13.08/2.92 % (660401)First to succeed.
% 13.08/2.92 % (660401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-660395"
% 13.08/2.92 % (660448)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=453345060:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 13.08/2.92 % (660448)Instruction limit reached!
% 13.08/2.92 % (660448)------------------------------
% 13.08/2.92 % (660448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.92 % (660448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.92 % (660448)CaDiCaL version: 2.1.3
% 13.08/2.92 % (660448)Termination reason: Instruction limit
% 13.08/2.92 % (660448)Termination phase: Saturation
% 13.08/2.92 % (660448)Time elapsed: 0.083 s
% 13.08/2.92 % (660448)Peak memory usage: 91 MB
% 13.08/2.92 % (660448)Instructions burned: 135 (million)
% 13.08/2.92 % (660449)------------------------------
% 13.08/2.92 % (660449)------------------------------
% 13.08/2.92 % (660453)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=2647576452:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 13.08/2.92 % (660452)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1190823023:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 13.08/2.92 % (660401)Refutation found. Thanks to Tanya!
% 13.08/2.92 % SZS status Theorem for theBenchmark
% 13.08/2.92 % SZS output start Proof for theBenchmark
% See solution above
% 16.51/3.11 % (660401)------------------------------
% 16.51/3.11 % (660401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.51/3.11 % (660401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/3.11 % (660401)CaDiCaL version: 2.1.3
% 16.51/3.11 % (660401)Termination reason: Refutation
% 16.51/3.11 % (660401)Time elapsed: 1.798 s
% 16.51/3.11 % (660401)Peak memory usage: 145 MB
% 16.51/3.11 % (660401)Instructions burned: 2588 (million)
% 16.51/3.11 % (660401)------------------------------
% 16.51/3.11 % (660401)------------------------------
% 16.51/3.11 % (660395)Success in time 2.257 s
% 16.51/3.11 % Vampire exiting
%------------------------------------------------------------------------------