%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU414+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:49 PM UTC 2026
% Result : Theorem 6.99s 2.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 57
% Syntax : Number of formulae : 381 ( 67 unt; 44 def)
% Number of atoms : 1442 ( 66 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1880 ( 819 ~; 865 |; 114 &)
% ( 54 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 58 ( 56 usr; 45 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-6 aty)
% Number of variables : 345 ( 0 sgn 334 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_orders_2(X2)
& l1_orders_2(X2) )
=> ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f9,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f10,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( r4_relat_2(X0,X1)
<=> ! [X2,X3] :
( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X2,X3),X0)
& r2_hidden(k4_tarski(X3,X2),X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v4_orders_2(X0)
<=> r4_relat_2(u1_orders_2(X0),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_orders_2) ).
fof(f13,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f26,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f27,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(f46,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_latsum_1) ).
fof(f49,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(f53,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_latsum_1(X0,X1)
& v3_orders_2(X0) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsum_1) ).
fof(f55,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& v3_orders_2(X1) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_latsum_1) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(flattening,[],[f66]) ).
fof(f71,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_latsum_1(X0,X1)
<=> ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( r4_relat_2(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( r4_relat_2(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> r4_relat_2(u1_orders_2(X0),u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f85,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f92]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f95]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f100]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f104]) ).
fof(f110,plain,
( ~ v4_orders_2(k1_latsum_1(sK0,sK1))
& r1_latsum_1(sK0,sK1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK0)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v3_orders_2(sK0)
& v4_orders_2(sK0)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& l1_orders_2(sK1)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f67]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_latsum_1(X0,X1)
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
& ( ( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
& u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1))) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK2(X0,X1,X2),X0)
& ~ r2_hidden(sK2(X0,X1,X2),X1) )
| ~ r2_hidden(sK2(X0,X1,X2),X2) )
& ( r2_hidden(sK2(X0,X1,X2),X0)
| r2_hidden(sK2(X0,X1,X2),X1)
| r2_hidden(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f115]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( r4_relat_2(X0,X1)
| ? [X2,X3] :
( X2 != X3
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X2,X3),X0)
& r2_hidden(k4_tarski(X3,X2),X0) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(k4_tarski(X3,X2),X0) )
| ~ r4_relat_2(X0,X1) ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( r4_relat_2(X0,X1)
| ? [X2,X3] :
( X2 != X3
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X2,X3),X0)
& r2_hidden(k4_tarski(X3,X2),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X0) )
| ~ r4_relat_2(X0,X1) ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( r4_relat_2(X0,X1)
| ( sK3(X0,X1) != sK4(X0,X1)
& r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK4(X0,X1),X1)
& r2_hidden(k4_tarski(sK3(X0,X1),sK4(X0,X1)),X0)
& r2_hidden(k4_tarski(sK4(X0,X1),sK3(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X0) )
| ~ r4_relat_2(X0,X1) ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f118]) ).
fof(f120,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ~ r4_relat_2(u1_orders_2(X0),u1_struct_0(X0)) )
& ( r4_relat_2(u1_orders_2(X0),u1_struct_0(X0))
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f129,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f130,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f131,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f132,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f133,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f134,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f135,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f110]) ).
fof(f136,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f137,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f110]) ).
fof(f138,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f139,plain,
r1_latsum_1(sK0,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f140,plain,
~ v4_orders_2(k1_latsum_1(sK0,sK1)),
inference(cnf_transformation,[],[f110]) ).
fof(f143,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f71]) ).
fof(f147,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f116]) ).
fof(f155,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X0)
| ~ r4_relat_2(X0,X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f156,plain,
! [X0,X1] :
( r4_relat_2(X0,X1)
| r2_hidden(k4_tarski(sK4(X0,X1),sK3(X0,X1)),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f157,plain,
! [X0,X1] :
( r4_relat_2(X0,X1)
| r2_hidden(k4_tarski(sK3(X0,X1),sK4(X0,X1)),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f159,plain,
! [X0,X1] :
( r4_relat_2(X0,X1)
| r2_hidden(sK3(X0,X1),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f160,plain,
! [X0,X1] :
( r4_relat_2(X0,X1)
| sK3(X0,X1) != sK4(X0,X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f161,plain,
! [X0] :
( r4_relat_2(u1_orders_2(X0),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f162,plain,
! [X0] :
( v4_orders_2(X0)
| ~ r4_relat_2(u1_orders_2(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f165,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f166,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f169,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f170,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f205,plain,
! [X0,X1] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f147]) ).
fof(f209,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f149]) ).
fof(f213,definition,
( spl13_1
<=> v4_orders_2(k1_latsum_1(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f215,plain,
( ~ v4_orders_2(k1_latsum_1(sK0,sK1))
| spl13_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
~ spl13_1,
inference(avatar_split_clause,[],[f140,f213]) ).
fof(f217,plain,
( ~ r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl13_1 ),
inference(resolution,[],[f215,f162]) ).
fof(f222,definition,
( spl13_2
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f224,plain,
( l1_orders_2(sK1)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
spl13_2,
inference(avatar_split_clause,[],[f130,f222]) ).
fof(f227,definition,
( spl13_3
<=> l1_orders_2(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f229,plain,
( l1_orders_2(sK0)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,plain,
spl13_3,
inference(avatar_split_clause,[],[f129,f227]) ).
fof(f232,definition,
( spl13_4
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f234,plain,
( v3_orders_2(sK1)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,plain,
spl13_4,
inference(avatar_split_clause,[],[f132,f232]) ).
fof(f241,definition,
( spl13_5
<=> v3_orders_2(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f243,plain,
( v3_orders_2(sK0)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,plain,
spl13_5,
inference(avatar_split_clause,[],[f134,f241]) ).
fof(f250,definition,
( spl13_6
<=> v4_orders_2(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f252,plain,
( v4_orders_2(sK0)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
spl13_6,
inference(avatar_split_clause,[],[f133,f250]) ).
fof(f258,plain,
( r4_relat_2(u1_orders_2(sK1),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ spl13_2 ),
inference(resolution,[],[f224,f161]) ).
fof(f261,plain,
( ! [X0] :
( l1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_2 ),
inference(resolution,[],[f224,f165]) ).
fof(f263,plain,
( ! [X0] :
( v1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_2 ),
inference(resolution,[],[f224,f166]) ).
fof(f264,plain,
( m2_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl13_2 ),
inference(resolution,[],[f224,f170]) ).
fof(f280,plain,
( r4_relat_2(u1_orders_2(sK1),u1_struct_0(sK1))
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f258,f131]) ).
fof(f290,plain,
( r4_relat_2(u1_orders_2(sK0),u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ spl13_3 ),
inference(resolution,[],[f229,f161]) ).
fof(f296,plain,
( m2_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl13_3 ),
inference(resolution,[],[f229,f170]) ).
fof(f312,plain,
( r4_relat_2(u1_orders_2(sK0),u1_struct_0(sK0))
| ~ spl13_3
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f290,f252]) ).
fof(f314,definition,
( spl13_8
<=> m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f316,plain,
( m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
spl13_8,
inference(avatar_split_clause,[],[f137,f314]) ).
fof(f319,definition,
( spl13_9
<=> m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f321,plain,
( m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,plain,
spl13_9,
inference(avatar_split_clause,[],[f135,f319]) ).
fof(f325,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK0)
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_8 ),
inference(resolution,[],[f316,f191]) ).
fof(f329,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f325,f138]) ).
fof(f330,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f329,f224]) ).
fof(f331,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK1)) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f330,f229]) ).
fof(f332,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_9 ),
inference(resolution,[],[f321,f194]) ).
fof(f336,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f332,f136]) ).
fof(f337,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f336,f224]) ).
fof(f338,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0)) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f337,f229]) ).
fof(f340,definition,
( spl13_10
<=> r1_latsum_1(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f342,plain,
( r1_latsum_1(sK0,sK1)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
spl13_10,
inference(avatar_split_clause,[],[f139,f340]) ).
fof(f344,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_10 ),
inference(resolution,[],[f342,f200]) ).
fof(f345,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_10 ),
inference(resolution,[],[f342,f198]) ).
fof(f346,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_9
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f345,f338]) ).
fof(f347,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_8
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f344,f331]) ).
fof(f348,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_5
| ~ spl13_9
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f346,f243]) ).
fof(f349,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f347,f234]) ).
fof(f350,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_5
| ~ spl13_9
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f348,f224]) ).
fof(f351,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK0) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f349,f224]) ).
fof(f352,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0)) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_5
| ~ spl13_9
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f350,f229]) ).
fof(f353,plain,
( ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f351,f229]) ).
fof(f355,definition,
( spl13_11
<=> r4_relat_2(u1_orders_2(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f357,plain,
( r4_relat_2(u1_orders_2(sK1),u1_struct_0(sK1))
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( spl13_11
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f280,f222,f355]) ).
fof(f366,definition,
( spl13_13
<=> ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1)) )
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( spl13_13
| ~ spl13_2
| ~ spl13_3
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f331,f314,f227,f222,f366]) ).
fof(f371,plain,
( ! [X0] :
( r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_13 ),
inference(resolution,[],[f367,f157]) ).
fof(f372,plain,
( ! [X0] :
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_13 ),
inference(resolution,[],[f367,f156]) ).
fof(f380,definition,
( spl13_14
<=> ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0)) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
( spl13_14
| ~ spl13_2
| ~ spl13_3
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f338,f319,f227,f222,f380]) ).
fof(f385,plain,
( ! [X0] :
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_14 ),
inference(resolution,[],[f381,f157]) ).
fof(f386,plain,
( ! [X0] :
( r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_14 ),
inference(resolution,[],[f381,f156]) ).
fof(f400,definition,
( spl13_16
<=> r4_relat_2(u1_orders_2(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f402,plain,
( r4_relat_2(u1_orders_2(sK0),u1_struct_0(sK0))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( spl13_16
| ~ spl13_3
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f312,f250,f227,f400]) ).
fof(f405,plain,
( ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK0))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| ~ spl13_16 ),
inference(resolution,[],[f402,f155]) ).
fof(f407,plain,
( ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK1)) )
| ~ spl13_11 ),
inference(resolution,[],[f357,f155]) ).
fof(f437,definition,
( spl13_19
<=> ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( spl13_19
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f353,f340,f314,f232,f227,f222,f437]) ).
fof(f442,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_19 ),
inference(resolution,[],[f438,f157]) ).
fof(f443,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_19 ),
inference(resolution,[],[f438,f156]) ).
fof(f451,definition,
( spl13_20
<=> ! [X0,X1] :
( r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f452,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0)) )
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( spl13_20
| ~ spl13_2
| ~ spl13_3
| ~ spl13_5
| ~ spl13_9
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f352,f340,f319,f241,f227,f222,f451]) ).
fof(f456,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_20 ),
inference(resolution,[],[f452,f157]) ).
fof(f457,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) )
| ~ spl13_20 ),
inference(resolution,[],[f452,f156]) ).
fof(f473,definition,
( spl13_23
<=> m2_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_23])],[avatar_definition]) ).
fof(f475,plain,
( m2_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,plain,
( spl13_23
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f296,f227,f473]) ).
fof(f478,definition,
( spl13_24
<=> m2_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_24])],[avatar_definition]) ).
fof(f480,plain,
( m2_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f481,plain,
( spl13_24
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f264,f222,f478]) ).
fof(f483,plain,
( m1_subset_1(u1_orders_2(sK0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))))
| ~ spl13_23 ),
inference(resolution,[],[f475,f169]) ).
fof(f499,plain,
( m1_subset_1(u1_orders_2(sK1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))))
| ~ spl13_24 ),
inference(resolution,[],[f480,f169]) ).
fof(f515,definition,
( spl13_27
<=> ! [X0] :
( l1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_27])],[avatar_definition]) ).
fof(f516,plain,
( ! [X0] :
( l1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( spl13_27
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f261,f222,f515]) ).
fof(f599,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1))
| ~ v1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(X0) )
| ~ spl13_27 ),
inference(resolution,[],[f516,f205]) ).
fof(f628,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1))
| ~ v1_orders_2(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(sK1) )
| ~ spl13_27 ),
inference(duplicate_literal_removal,[],[f599]) ).
fof(f632,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1))
| ~ v1_orders_2(k1_latsum_1(X0,sK1)) )
| ~ spl13_2
| ~ spl13_27 ),
inference(forward_subsumption_resolution,[],[f628,f224]) ).
fof(f634,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1)) )
| ~ spl13_2
| ~ spl13_27 ),
inference(forward_subsumption_resolution,[],[f632,f263]) ).
fof(f637,definition,
( spl13_29
<=> m1_subset_1(u1_orders_2(sK1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl13_29])],[avatar_definition]) ).
fof(f639,plain,
( m1_subset_1(u1_orders_2(sK1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))))
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( spl13_29
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f499,f478,f637]) ).
fof(f641,plain,
( v1_relat_1(u1_orders_2(sK1))
| ~ spl13_29 ),
inference(resolution,[],[f639,f143]) ).
fof(f645,plain,
( ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK1)) )
| ~ spl13_11
| ~ spl13_29 ),
inference(backward_subsumption_resolution,[],[f407,f641]) ).
fof(f647,definition,
( spl13_30
<=> ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_30])],[avatar_definition]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK1))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r2_hidden(X1,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK1))
| X0 = X1 )
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( spl13_30
| ~ spl13_11
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f645,f637,f355,f647]) ).
fof(f680,definition,
( spl13_32
<=> m1_subset_1(u1_orders_2(sK0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl13_32])],[avatar_definition]) ).
fof(f682,plain,
( m1_subset_1(u1_orders_2(sK0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0))))
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
( spl13_32
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f483,f473,f680]) ).
fof(f684,plain,
( v1_relat_1(u1_orders_2(sK0))
| ~ spl13_32 ),
inference(resolution,[],[f682,f143]) ).
fof(f688,plain,
( ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK0)) )
| ~ spl13_16
| ~ spl13_32 ),
inference(backward_subsumption_resolution,[],[f405,f684]) ).
fof(f690,definition,
( spl13_33
<=> ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_33])],[avatar_definition]) ).
fof(f691,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(sK0))
| X0 = X1 )
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( spl13_33
| ~ spl13_16
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f688,f680,f400,f690]) ).
fof(f761,definition,
( spl13_35
<=> v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_35])],[avatar_definition]) ).
fof(f762,plain,
( v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f763,plain,
( ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1)))
| spl13_35 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f765,definition,
( spl13_36
<=> ! [X0] :
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_36])],[avatar_definition]) ).
fof(f766,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) )
| ~ spl13_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( ~ spl13_35
| spl13_36
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f385,f380,f765,f761]) ).
fof(f768,plain,
( ! [X0,X1] : ~ m1_subset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| spl13_35 ),
inference(resolution,[],[f763,f143]) ).
fof(f773,definition,
( spl13_37
<=> ! [X0] :
( r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_37])],[avatar_definition]) ).
fof(f774,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) )
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( ~ spl13_35
| spl13_37
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f386,f380,f773,f761]) ).
fof(f777,definition,
( spl13_38
<=> ! [X0] :
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_38])],[avatar_definition]) ).
fof(f778,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) )
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f779,plain,
( ~ spl13_35
| spl13_38
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f372,f366,f777,f761]) ).
fof(f781,definition,
( spl13_39
<=> ! [X0] :
( r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_39])],[avatar_definition]) ).
fof(f782,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) )
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f783,plain,
( ~ spl13_35
| spl13_39
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f371,f366,f781,f761]) ).
fof(f785,definition,
( spl13_40
<=> ! [X0,X1] : ~ m1_subset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f786,plain,
( ! [X0,X1] : ~ m1_subset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f787,plain,
( spl13_40
| spl13_35 ),
inference(avatar_split_clause,[],[f768,f761,f785]) ).
fof(f788,plain,
( ! [X0,X1] : ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),X0,X1)
| ~ spl13_40 ),
inference(resolution,[],[f786,f169]) ).
fof(f796,definition,
( spl13_41
<=> ! [X0,X1] : ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),X0,X1) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f797,plain,
( ! [X0,X1] : ~ m2_relset_1(u1_orders_2(k1_latsum_1(sK0,sK1)),X0,X1)
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( spl13_41
| ~ spl13_40 ),
inference(avatar_split_clause,[],[f788,f785,f796]) ).
fof(f799,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl13_41 ),
inference(resolution,[],[f797,f170]) ).
fof(f805,definition,
( spl13_42
<=> l1_orders_2(k1_latsum_1(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_42])],[avatar_definition]) ).
fof(f806,plain,
( l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f807,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl13_42 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( ~ spl13_42
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f799,f796,f805]) ).
fof(f819,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| spl13_42 ),
inference(resolution,[],[f807,f165]) ).
fof(f823,plain,
( ~ l1_orders_2(sK1)
| ~ spl13_3
| spl13_42 ),
inference(forward_subsumption_resolution,[],[f819,f229]) ).
fof(f829,plain,
( $false
| ~ spl13_2
| ~ spl13_3
| spl13_42 ),
inference(forward_subsumption_resolution,[],[f823,f224]) ).
fof(f830,plain,
( ~ spl13_2
| ~ spl13_3
| spl13_42 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f831,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_19
| ~ spl13_35 ),
inference(backward_subsumption_resolution,[],[f442,f762]) ).
fof(f832,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_19
| ~ spl13_35 ),
inference(backward_subsumption_resolution,[],[f443,f762]) ).
fof(f833,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_20
| ~ spl13_35 ),
inference(backward_subsumption_resolution,[],[f456,f762]) ).
fof(f834,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_20
| ~ spl13_35 ),
inference(backward_subsumption_resolution,[],[f457,f762]) ).
fof(f835,plain,
( ~ r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| spl13_1
| ~ spl13_42 ),
inference(backward_subsumption_resolution,[],[f217,f806]) ).
fof(f849,plain,
( ! [X0] :
( r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) != sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_35 ),
inference(resolution,[],[f762,f160]) ).
fof(f887,definition,
( spl13_44
<=> r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_44])],[avatar_definition]) ).
fof(f889,plain,
( ~ r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| spl13_44 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f890,plain,
( ~ spl13_44
| spl13_1
| ~ spl13_42 ),
inference(avatar_split_clause,[],[f835,f805,f213,f887]) ).
fof(f943,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ v1_relat_1(u1_orders_2(k1_latsum_1(sK0,sK1)))
| spl13_44 ),
inference(resolution,[],[f889,f159]) ).
fof(f948,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ spl13_35
| spl13_44 ),
inference(forward_subsumption_resolution,[],[f943,f762]) ).
fof(f1169,definition,
( spl13_60
<=> ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_60])],[avatar_definition]) ).
fof(f1170,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_60 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1171,plain,
( spl13_60
| ~ spl13_19
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f831,f761,f437,f1169]) ).
fof(f1172,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_30
| ~ spl13_60 ),
inference(resolution,[],[f1170,f648]) ).
fof(f1186,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_30
| ~ spl13_60 ),
inference(duplicate_literal_removal,[],[f1172]) ).
fof(f1190,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_30
| ~ spl13_39
| ~ spl13_60 ),
inference(forward_subsumption_resolution,[],[f1186,f782]) ).
fof(f1194,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1)) )
| ~ spl13_30
| ~ spl13_35
| ~ spl13_39
| ~ spl13_60 ),
inference(forward_subsumption_resolution,[],[f1190,f849]) ).
fof(f1196,definition,
( spl13_61
<=> ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_61])],[avatar_definition]) ).
fof(f1197,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) )
| ~ spl13_61 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1198,plain,
( spl13_61
| ~ spl13_30
| ~ spl13_35
| ~ spl13_39
| ~ spl13_60 ),
inference(avatar_split_clause,[],[f1194,f1169,f781,f761,f647,f1196]) ).
fof(f1256,definition,
( spl13_62
<=> r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_62])],[avatar_definition]) ).
fof(f1257,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK0))
| ~ spl13_62 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1258,plain,
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK0))
| spl13_62 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1279,definition,
( spl13_65
<=> r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_65])],[avatar_definition]) ).
fof(f1280,plain,
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1))
| spl13_65 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1281,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1))
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1304,definition,
( spl13_68
<=> ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_68])],[avatar_definition]) ).
fof(f1305,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_68 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1306,plain,
( spl13_68
| ~ spl13_20
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f833,f761,f451,f1304]) ).
fof(f1307,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_33
| ~ spl13_68 ),
inference(resolution,[],[f1305,f691]) ).
fof(f1321,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_33
| ~ spl13_68 ),
inference(duplicate_literal_removal,[],[f1307]) ).
fof(f1325,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) = sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_33
| ~ spl13_36
| ~ spl13_68 ),
inference(forward_subsumption_resolution,[],[f1321,f766]) ).
fof(f1329,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0)) )
| ~ spl13_33
| ~ spl13_35
| ~ spl13_36
| ~ spl13_68 ),
inference(forward_subsumption_resolution,[],[f1325,f849]) ).
fof(f1331,definition,
( spl13_69
<=> ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_69])],[avatar_definition]) ).
fof(f1332,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) )
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1333,plain,
( spl13_69
| ~ spl13_33
| ~ spl13_35
| ~ spl13_36
| ~ spl13_68 ),
inference(avatar_split_clause,[],[f1329,f1304,f765,f761,f690,f1331]) ).
fof(f1352,definition,
( spl13_70
<=> ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_70])],[avatar_definition]) ).
fof(f1353,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK0))
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1354,plain,
( spl13_70
| ~ spl13_20
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f834,f761,f451,f1352]) ).
fof(f1355,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) )
| ~ spl13_69
| ~ spl13_70 ),
inference(resolution,[],[f1353,f1332]) ).
fof(f1371,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0)) )
| ~ spl13_69
| ~ spl13_70 ),
inference(duplicate_literal_removal,[],[f1355]) ).
fof(f1376,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_37
| ~ spl13_69
| ~ spl13_70 ),
inference(forward_subsumption_resolution,[],[f1371,f774]) ).
fof(f1382,definition,
( spl13_71
<=> ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_71])],[avatar_definition]) ).
fof(f1383,plain,
( ! [X0] :
( ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK0))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1384,plain,
( spl13_71
| ~ spl13_37
| ~ spl13_69
| ~ spl13_70 ),
inference(avatar_split_clause,[],[f1376,f1352,f1331,f773,f1382]) ).
fof(f1473,definition,
( spl13_75
<=> ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_75])],[avatar_definition]) ).
fof(f1474,plain,
( ! [X0] :
( r2_hidden(k4_tarski(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)),u1_orders_2(sK1))
| ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_75 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1475,plain,
( spl13_75
| ~ spl13_19
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f832,f761,f437,f1473]) ).
fof(f1476,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) )
| ~ spl13_61
| ~ spl13_75 ),
inference(resolution,[],[f1474,f1197]) ).
fof(f1492,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0)
| ~ r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1)) )
| ~ spl13_61
| ~ spl13_75 ),
inference(duplicate_literal_removal,[],[f1476]) ).
fof(f1497,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_38
| ~ spl13_61
| ~ spl13_75 ),
inference(forward_subsumption_resolution,[],[f1492,f778]) ).
fof(f1503,definition,
( spl13_76
<=> ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_76])],[avatar_definition]) ).
fof(f1504,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),X0),u1_struct_0(sK1))
| r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),X0) )
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1505,plain,
( spl13_76
| ~ spl13_38
| ~ spl13_61
| ~ spl13_75 ),
inference(avatar_split_clause,[],[f1497,f1473,f1196,f777,f1503]) ).
fof(f2018,definition,
( spl13_98
<=> r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(k1_latsum_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_98])],[avatar_definition]) ).
fof(f2020,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ spl13_98 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2021,plain,
( spl13_98
| ~ spl13_35
| spl13_44 ),
inference(avatar_split_clause,[],[f948,f887,f761,f2018]) ).
fof(f2048,definition,
( spl13_99
<=> ! [X0] :
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_99])],[avatar_definition]) ).
fof(f2049,plain,
( ! [X0] :
( k2_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(X0,sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_99 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f2050,plain,
( spl13_99
| ~ spl13_2
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f634,f515,f222,f2048]) ).
fof(f2070,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(X0,sK1)))
| r2_hidden(X1,u1_struct_0(X0))
| r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_99 ),
inference(superposition,[],[f209,f2049]) ).
fof(f3933,definition,
( spl13_196
<=> ! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(X0,sK1)))
| r2_hidden(X1,u1_struct_0(X0))
| r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_196])],[avatar_definition]) ).
fof(f3934,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(X0,sK1)))
| r2_hidden(X1,u1_struct_0(X0))
| r2_hidden(X1,u1_struct_0(sK1))
| ~ l1_orders_2(X0) )
| ~ spl13_196 ),
inference(avatar_component_clause,[],[f3933]) ).
fof(f3935,plain,
( spl13_196
| ~ spl13_99 ),
inference(avatar_split_clause,[],[f2070,f2048,f3933]) ).
fof(f3946,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK0))
| r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| ~ spl13_98
| ~ spl13_196 ),
inference(resolution,[],[f3934,f2020]) ).
fof(f3964,plain,
( r2_hidden(sK3(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| spl13_62
| ~ spl13_98
| ~ spl13_196 ),
inference(forward_subsumption_resolution,[],[f3946,f1258]) ).
fof(f3969,plain,
( ~ l1_orders_2(sK0)
| spl13_62
| spl13_65
| ~ spl13_98
| ~ spl13_196 ),
inference(forward_subsumption_resolution,[],[f3964,f1280]) ).
fof(f3972,plain,
( $false
| ~ spl13_3
| spl13_62
| spl13_65
| ~ spl13_98
| ~ spl13_196 ),
inference(forward_subsumption_resolution,[],[f3969,f229]) ).
fof(f3973,plain,
( ~ spl13_3
| spl13_62
| spl13_65
| ~ spl13_98
| ~ spl13_196 ),
inference(avatar_contradiction_clause,[],[f3972]) ).
fof(f3978,plain,
( r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| r2_hidden(sK4(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1))),u1_struct_0(sK1))
| ~ spl13_39
| ~ spl13_65 ),
inference(resolution,[],[f1281,f782]) ).
fof(f4003,plain,
( r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ spl13_39
| ~ spl13_65
| ~ spl13_76 ),
inference(forward_subsumption_resolution,[],[f3978,f1504]) ).
fof(f4009,plain,
( $false
| ~ spl13_39
| spl13_44
| ~ spl13_65
| ~ spl13_76 ),
inference(forward_subsumption_resolution,[],[f4003,f889]) ).
fof(f4010,plain,
( ~ spl13_39
| spl13_44
| ~ spl13_65
| ~ spl13_76 ),
inference(avatar_contradiction_clause,[],[f4009]) ).
fof(f4105,plain,
( r4_relat_2(u1_orders_2(k1_latsum_1(sK0,sK1)),u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ spl13_62
| ~ spl13_71 ),
inference(resolution,[],[f1257,f1383]) ).
fof(f4132,plain,
( $false
| spl13_44
| ~ spl13_62
| ~ spl13_71 ),
inference(forward_subsumption_resolution,[],[f4105,f889]) ).
fof(f4133,plain,
( spl13_44
| ~ spl13_62
| ~ spl13_71 ),
inference(avatar_contradiction_clause,[],[f4132]) ).
cnf(s1,plain,
~ spl13_1,
inference(sat_conversion,[],[f216]) ).
cnf(s2,plain,
spl13_2,
inference(sat_conversion,[],[f225]) ).
cnf(s3,plain,
spl13_3,
inference(sat_conversion,[],[f230]) ).
cnf(s4,plain,
spl13_4,
inference(sat_conversion,[],[f235]) ).
cnf(s5,plain,
spl13_5,
inference(sat_conversion,[],[f244]) ).
cnf(s6,plain,
spl13_6,
inference(sat_conversion,[],[f253]) ).
cnf(s8,plain,
spl13_8,
inference(sat_conversion,[],[f317]) ).
cnf(s9,plain,
spl13_9,
inference(sat_conversion,[],[f322]) ).
cnf(s10,plain,
spl13_10,
inference(sat_conversion,[],[f343]) ).
cnf(s11,plain,
( ~ spl13_2
| spl13_11 ),
inference(sat_conversion,[],[f358]) ).
cnf(s13,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_8
| spl13_13 ),
inference(sat_conversion,[],[f368]) ).
cnf(s14,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_9
| spl13_14 ),
inference(sat_conversion,[],[f382]) ).
cnf(s16,plain,
( ~ spl13_3
| ~ spl13_6
| spl13_16 ),
inference(sat_conversion,[],[f403]) ).
cnf(s19,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_8
| ~ spl13_10
| spl13_19 ),
inference(sat_conversion,[],[f439]) ).
cnf(s20,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_5
| ~ spl13_9
| ~ spl13_10
| spl13_20 ),
inference(sat_conversion,[],[f453]) ).
cnf(s23,plain,
( ~ spl13_3
| spl13_23 ),
inference(sat_conversion,[],[f476]) ).
cnf(s24,plain,
( ~ spl13_2
| spl13_24 ),
inference(sat_conversion,[],[f481]) ).
cnf(s27,plain,
( ~ spl13_2
| spl13_27 ),
inference(sat_conversion,[],[f517]) ).
cnf(s29,plain,
( ~ spl13_24
| spl13_29 ),
inference(sat_conversion,[],[f640]) ).
cnf(s30,plain,
( ~ spl13_11
| ~ spl13_29
| spl13_30 ),
inference(sat_conversion,[],[f649]) ).
cnf(s32,plain,
( ~ spl13_23
| spl13_32 ),
inference(sat_conversion,[],[f683]) ).
cnf(s33,plain,
( ~ spl13_16
| ~ spl13_32
| spl13_33 ),
inference(sat_conversion,[],[f692]) ).
cnf(s35,plain,
( ~ spl13_14
| ~ spl13_35
| spl13_36 ),
inference(sat_conversion,[],[f767]) ).
cnf(s36,plain,
( ~ spl13_14
| ~ spl13_35
| spl13_37 ),
inference(sat_conversion,[],[f775]) ).
cnf(s37,plain,
( ~ spl13_13
| ~ spl13_35
| spl13_38 ),
inference(sat_conversion,[],[f779]) ).
cnf(s38,plain,
( ~ spl13_13
| ~ spl13_35
| spl13_39 ),
inference(sat_conversion,[],[f783]) ).
cnf(s39,plain,
( spl13_35
| spl13_40 ),
inference(sat_conversion,[],[f787]) ).
cnf(s40,plain,
( ~ spl13_40
| spl13_41 ),
inference(sat_conversion,[],[f798]) ).
cnf(s41,plain,
( ~ spl13_41
| ~ spl13_42 ),
inference(sat_conversion,[],[f808]) ).
cnf(s45,plain,
( ~ spl13_2
| ~ spl13_3
| spl13_42 ),
inference(sat_conversion,[],[f830]) ).
cnf(s47,plain,
( spl13_1
| ~ spl13_42
| ~ spl13_44 ),
inference(sat_conversion,[],[f890]) ).
cnf(s63,plain,
( ~ spl13_19
| ~ spl13_35
| spl13_60 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s64,plain,
( ~ spl13_30
| ~ spl13_35
| ~ spl13_39
| ~ spl13_60
| spl13_61 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s69,plain,
( ~ spl13_20
| ~ spl13_35
| spl13_68 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s70,plain,
( ~ spl13_33
| ~ spl13_35
| ~ spl13_36
| ~ spl13_68
| spl13_69 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s71,plain,
( ~ spl13_20
| ~ spl13_35
| spl13_70 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s72,plain,
( ~ spl13_37
| ~ spl13_69
| ~ spl13_70
| spl13_71 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s78,plain,
( ~ spl13_19
| ~ spl13_35
| spl13_75 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s79,plain,
( ~ spl13_38
| ~ spl13_61
| ~ spl13_75
| spl13_76 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s103,plain,
( ~ spl13_35
| spl13_44
| spl13_98 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s104,plain,
( ~ spl13_2
| ~ spl13_27
| spl13_99 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s195,plain,
( ~ spl13_99
| spl13_196 ),
inference(sat_conversion,[],[f3935]) ).
cnf(s197,plain,
( ~ spl13_3
| spl13_62
| spl13_65
| ~ spl13_98
| ~ spl13_196 ),
inference(sat_conversion,[],[f3973]) ).
cnf(s200,plain,
( ~ spl13_39
| spl13_44
| ~ spl13_65
| ~ spl13_76 ),
inference(sat_conversion,[],[f4010]) ).
cnf(s211,plain,
( spl13_44
| ~ spl13_62
| ~ spl13_71 ),
inference(sat_conversion,[],[f4133]) ).
cnf(s231,plain,
spl13_23,
inference(rat,[],[s23,s3]) ).
cnf(s233,plain,
spl13_16,
inference(rat,[],[s16,s6,s3]) ).
cnf(s236,plain,
spl13_32,
inference(rat,[],[s32,s231]) ).
cnf(s242,plain,
spl13_33,
inference(rat,[],[s33,s233,s236]) ).
cnf(s271,plain,
spl13_42,
inference(rat,[],[s45,s3,s2]) ).
cnf(s272,plain,
spl13_27,
inference(rat,[],[s27,s2]) ).
cnf(s273,plain,
spl13_24,
inference(rat,[],[s24,s2]) ).
cnf(s275,plain,
spl13_20,
inference(rat,[],[s20,s3,s10,s9,s5,s2]) ).
cnf(s276,plain,
spl13_19,
inference(rat,[],[s19,s3,s10,s8,s4,s2]) ).
cnf(s277,plain,
spl13_14,
inference(rat,[],[s14,s3,s9,s2]) ).
cnf(s278,plain,
spl13_13,
inference(rat,[],[s13,s3,s8,s2]) ).
cnf(s279,plain,
spl13_11,
inference(rat,[],[s11,s2]) ).
cnf(s283,plain,
~ spl13_41,
inference(rat,[],[s41,s271]) ).
cnf(s285,plain,
spl13_99,
inference(rat,[],[s104,s2,s272]) ).
cnf(s286,plain,
spl13_29,
inference(rat,[],[s29,s273]) ).
cnf(s296,plain,
~ spl13_40,
inference(rat,[],[s40,s283]) ).
cnf(s297,plain,
spl13_196,
inference(rat,[],[s195,s285]) ).
cnf(s300,plain,
spl13_30,
inference(rat,[],[s30,s279,s286]) ).
cnf(s311,plain,
spl13_35,
inference(rat,[],[s39,s296]) ).
cnf(s324,plain,
spl13_75,
inference(rat,[],[s78,s276,s311]) ).
cnf(s325,plain,
spl13_70,
inference(rat,[],[s71,s275,s311]) ).
cnf(s326,plain,
spl13_68,
inference(rat,[],[s69,s275,s311]) ).
cnf(s327,plain,
spl13_60,
inference(rat,[],[s63,s276,s311]) ).
cnf(s328,plain,
spl13_39,
inference(rat,[],[s38,s278,s311]) ).
cnf(s329,plain,
spl13_38,
inference(rat,[],[s37,s278,s311]) ).
cnf(s330,plain,
spl13_37,
inference(rat,[],[s36,s277,s311]) ).
cnf(s331,plain,
spl13_36,
inference(rat,[],[s35,s277,s311]) ).
cnf(s334,plain,
spl13_61,
inference(rat,[],[s64,s327,s311,s300,s328]) ).
cnf(s335,plain,
spl13_69,
inference(rat,[],[s70,s326,s311,s242,s331]) ).
cnf(s337,plain,
spl13_76,
inference(rat,[],[s79,s329,s324,s334]) ).
cnf(s338,plain,
spl13_71,
inference(rat,[],[s72,s330,s325,s335]) ).
cnf(s342,plain,
~ spl13_44,
inference(rat,[],[s47,s271,s1]) ).
cnf(s345,plain,
~ spl13_62,
inference(rat,[],[s211,s338,s342]) ).
cnf(s346,plain,
~ spl13_65,
inference(rat,[],[s200,s337,s328,s342]) ).
cnf(s348,plain,
spl13_98,
inference(rat,[],[s103,s311,s342]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s197,s297,s348,s3,s346,s345]) ).
fof(f4141,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU414+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:14:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.46/2.38 % (3604573)Detected formulas, will run a generic FOF schedule.
% 10.46/2.38 % (3604762)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2226014013:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.46/2.38 % (3604762)Refutation not found, incomplete strategy
% 10.46/2.38 % (3604762)------------------------------
% 10.46/2.38 % (3604762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38 % (3604762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38 % (3604762)CaDiCaL version: 2.1.3
% 10.46/2.38 % (3604762)Termination reason: Refutation not found, incomplete strategy
% 10.46/2.38 % (3604762)Time elapsed: 0.002 s
% 10.46/2.38 % (3604762)Peak memory usage: 88 MB
% 10.46/2.38 % (3604762)Instructions burned: 2 (million)
% 10.46/2.38 % (3604767)dis-21_1_sil=8000:lcm=predicate:random_seed=1771173389: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)
% 10.46/2.38 % (3604760)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=2453005315:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.46/2.38 % (3604757)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=271894123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.46/2.38 % (3604758)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=1957413089:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.46/2.38 % (3604764)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4168034928:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.46/2.38 % (3604765)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2928038545:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.46/2.38 % (3604764)Instruction limit reached!
% 10.46/2.38 % (3604764)------------------------------
% 10.46/2.38 % (3604764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38 % (3604764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38 % (3604764)CaDiCaL version: 2.1.3
% 10.46/2.38 % (3604764)Termination reason: Instruction limit
% 10.46/2.38 % (3604764)Termination phase: Saturation
% 10.46/2.38 % (3604764)Time elapsed: 0.066 s
% 10.46/2.38 % (3604764)Peak memory usage: 88 MB
% 10.46/2.38 % (3604764)Instructions burned: 119 (million)
% 10.46/2.38 % (3604767)Instruction limit reached!
% 10.46/2.38 % (3604767)------------------------------
% 10.46/2.38 % (3604767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38 % (3604767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38 % (3604767)CaDiCaL version: 2.1.3
% 10.46/2.38 % (3604767)Termination reason: Instruction limit
% 10.46/2.38 % (3604767)Termination phase: Saturation
% 10.46/2.38 % (3604767)Time elapsed: 0.073 s
% 10.46/2.38 % (3604767)Peak memory usage: 88 MB
% 10.46/2.38 % (3604767)Instructions burned: 130 (million)
% 10.46/2.38 % (3604765)Instruction limit reached!
% 10.46/2.38 % (3604765)------------------------------
% 10.46/2.38 % (3604765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.38 % (3604765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.38 % (3604765)CaDiCaL version: 2.1.3
% 10.46/2.38 % (3604765)Termination reason: Instruction limit
% 10.46/2.38 % (3604765)Termination phase: Saturation
% 10.46/2.38 % (3604765)Time elapsed: 0.097 s
% 10.46/2.38 % (3604765)Peak memory usage: 90 MB
% 10.46/2.38 % (3604765)Instructions burned: 139 (million)
% 10.46/2.38 % (3604762)------------------------------
% 10.46/2.38 % (3604762)------------------------------
% 10.46/2.38 % (3604876)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3562935308:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.46/2.38 % (3604874)lrs+10_1_sil=8000:sp=occurrence:random_seed=2407692113:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.46/2.38 % (3604897)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=3700882314:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.46/2.38 % (3604895)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3631817232:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.99/2.51 % (3604895)Refutation not found, incomplete strategy
% 6.99/2.51 % (3604895)------------------------------
% 6.99/2.51 % (3604895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3604895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3604895)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3604895)Termination reason: Refutation not found, incomplete strategy
% 6.99/2.51 % (3604895)Time elapsed: 0.004 s
% 6.99/2.51 % (3604895)Peak memory usage: 88 MB
% 6.99/2.51 % (3604895)Instructions burned: 4 (million)
% 6.99/2.51 % (3604897)Instruction limit reached!
% 6.99/2.51 % (3604897)------------------------------
% 6.99/2.51 % (3604897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3604897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3604897)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3604897)Termination reason: Instruction limit
% 6.99/2.51 % (3604897)Termination phase: Saturation
% 6.99/2.51 % (3604897)Time elapsed: 0.069 s
% 6.99/2.51 % (3604897)Peak memory usage: 93 MB
% 6.99/2.51 % (3604897)Instructions burned: 252 (million)
% 6.99/2.51 % (3604876)Instruction limit reached!
% 6.99/2.51 % (3604876)------------------------------
% 6.99/2.51 % (3604876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3604876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3604876)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3604876)Termination reason: Instruction limit
% 6.99/2.51 % (3604876)Termination phase: Saturation
% 6.99/2.51 % (3604876)Time elapsed: 0.080 s
% 6.99/2.51 % (3604876)Peak memory usage: 91 MB
% 6.99/2.51 % (3604876)Instructions burned: 160 (million)
% 6.99/2.51 % (3604979)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4135182249:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.99/2.51 % (3604979)Refutation not found, incomplete strategy
% 6.99/2.51 % (3604979)------------------------------
% 6.99/2.51 % (3604979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3604979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3604979)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3604979)Termination reason: Refutation not found, incomplete strategy
% 6.99/2.51 % (3604979)Time elapsed: 0.002 s
% 6.99/2.51 % (3604979)Peak memory usage: 89 MB
% 6.99/2.51 % (3604979)Instructions burned: 5 (million)
% 6.99/2.51 % (3604874)Instruction limit reached!
% 6.99/2.51 % (3604874)------------------------------
% 6.99/2.51 % (3604874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3604874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3604874)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3604874)Termination reason: Instruction limit
% 6.99/2.51 % (3604874)Termination phase: Saturation
% 6.99/2.51 % (3604874)Time elapsed: 0.174 s
% 6.99/2.51 % (3604874)Peak memory usage: 91 MB
% 6.99/2.51 % (3604874)Instructions burned: 287 (million)
% 6.99/2.51 % (3604985)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3436331870:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.99/2.51 % (3604895)------------------------------
% 6.99/2.51 % (3604895)------------------------------
% 6.99/2.51 % (3604979)------------------------------
% 6.99/2.51 % (3604979)------------------------------
% 6.99/2.51 % (3605034)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3297517772:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.99/2.51 % (3605034)Instruction limit reached!
% 6.99/2.51 % (3605034)------------------------------
% 6.99/2.51 % (3605034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605034)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605034)Termination reason: Instruction limit
% 6.99/2.51 % (3605034)Termination phase: Saturation
% 6.99/2.51 % (3605034)Time elapsed: 0.079 s
% 6.99/2.51 % (3605034)Peak memory usage: 90 MB
% 6.99/2.51 % (3605034)Instructions burned: 113 (million)
% 6.99/2.51 % (3605106)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1090578789:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.99/2.51 % (3605106)Refutation not found, incomplete strategy
% 6.99/2.51 % (3605106)------------------------------
% 6.99/2.51 % (3605106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605106)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605106)Termination reason: Refutation not found, incomplete strategy
% 6.99/2.51 % (3605106)Time elapsed: 0.019 s
% 6.99/2.51 % (3605106)Peak memory usage: 89 MB
% 6.99/2.51 % (3605106)Instructions burned: 58 (million)
% 6.99/2.51 % (3605092)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1823109735:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.99/2.51 % (3605092)Instruction limit reached!
% 6.99/2.51 % (3605092)------------------------------
% 6.99/2.51 % (3605092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605092)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605092)Termination reason: Instruction limit
% 6.99/2.51 % (3605092)Termination phase: Saturation
% 6.99/2.51 % (3605092)Time elapsed: 0.067 s
% 6.99/2.51 % (3605092)Peak memory usage: 88 MB
% 6.99/2.51 % (3605092)Instructions burned: 127 (million)
% 6.99/2.51 % (3605153)lrs+10_1_sil=8000:sp=occurrence:random_seed=3039909047:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.99/2.51 % (3605106)------------------------------
% 6.99/2.51 % (3605106)------------------------------
% 6.99/2.51 % (3605200)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=915109457:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.99/2.51 % (3605200)Refutation not found, incomplete strategy
% 6.99/2.51 % (3605200)------------------------------
% 6.99/2.51 % (3605200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605200)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605200)Termination reason: Refutation not found, incomplete strategy
% 6.99/2.51 % (3605200)Time elapsed: 0.006 s
% 6.99/2.51 % (3605200)Peak memory usage: 89 MB
% 6.99/2.51 % (3605200)Instructions burned: 8 (million)
% 6.99/2.51 % (3605240)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1171586285:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.99/2.51 % (3605200)------------------------------
% 6.99/2.51 % (3605200)------------------------------
% 6.99/2.51 % (3605393)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4168062115:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 6.99/2.51 % (3605153)Instruction limit reached!
% 6.99/2.51 % (3605153)------------------------------
% 6.99/2.51 % (3605153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605153)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605153)Termination reason: Instruction limit
% 6.99/2.51 % (3605153)Termination phase: Saturation
% 6.99/2.51 % (3605153)Time elapsed: 0.494 s
% 6.99/2.51 % (3605153)Peak memory usage: 96 MB
% 6.99/2.51 % (3605153)Instructions burned: 907 (million)
% 6.99/2.51 % (3604760)First to succeed.
% 6.99/2.51 % (3604760)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3604573"
% 6.99/2.51 % (3605393)Instruction limit reached!
% 6.99/2.51 % (3605393)------------------------------
% 6.99/2.51 % (3605393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605393)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605393)Termination reason: Instruction limit
% 6.99/2.51 % (3605393)Termination phase: Saturation
% 6.99/2.51 % (3605393)Time elapsed: 0.069 s
% 6.99/2.51 % (3605393)Peak memory usage: 91 MB
% 6.99/2.51 % (3605393)Instructions burned: 136 (million)
% 6.99/2.51 % (3605240)Also succeeded, but the first one will report.
% 6.99/2.51 % (3605486)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=631946940:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 6.99/2.51 % (3605486)Refutation not found, incomplete strategy
% 6.99/2.51 % (3605486)------------------------------
% 6.99/2.51 % (3605486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/2.51 % (3605486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/2.51 % (3605486)CaDiCaL version: 2.1.3
% 6.99/2.51 % (3605486)Termination reason: Refutation not found, incomplete strategy
% 6.99/2.51 % (3605486)Time elapsed: 0.005 s
% 6.99/2.51 % (3605486)Peak memory usage: 88 MB
% 6.99/2.51 % (3605486)Instructions burned: 6 (million)
% 6.99/2.51 % (3605507)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4225952743:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 6.99/2.51 % (3604760)Refutation found. Thanks to Tanya!
% 6.99/2.51 % SZS status Theorem for theBenchmark
% 6.99/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.60 % (3604760)------------------------------
% 0.17/2.60 % (3604760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.60 % (3604760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.60 % (3604760)CaDiCaL version: 2.1.3
% 0.17/2.60 % (3604760)Termination reason: Refutation
% 0.17/2.60 % (3604760)Time elapsed: 1.237 s
% 0.17/2.60 % (3604760)Peak memory usage: 137 MB
% 0.17/2.60 % (3604760)Instructions burned: 1839 (million)
% 0.17/2.60 % (3604760)------------------------------
% 0.17/2.60 % (3604760)------------------------------
% 0.17/2.60 % (3604573)Success in time 1.651 s
% 0.17/2.60 % Vampire exiting
%------------------------------------------------------------------------------