%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU409+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:46 PM UTC 2026
% Result : Theorem 17.56s 3.36s
% Output : Refutation 18.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 57
% Syntax : Number of formulae : 577 ( 45 unt; 30 def)
% Number of atoms : 3237 ( 92 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 4814 (2154 ~;2271 |; 263 &)
% ( 55 <=>; 69 =>; 0 <=; 2 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 31 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-6 aty)
% Number of variables : 1004 ( 0 sgn 959 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1) )
=> ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1) )
=> ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) ) ) ) ) ) ),
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,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f11,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( X2 = k5_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ? [X5] :
( r2_hidden(k4_tarski(X3,X5),X0)
& r2_hidden(k4_tarski(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f12,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f14,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(f21,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X4,X0,X1)
& m1_relset_1(X5,X2,X3) )
=> m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relset_1) ).
fof(f27,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(f28,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(f35,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_latsum_1) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X4,X0,X1)
& m1_relset_1(X5,X2,X3) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f49,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
<=> ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f54,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_latsum_1) ).
fof(f55,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
=> m1_subset_1(X2,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsum_1) ).
fof(f57,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f58,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_orders_2(X0,X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_orders_2) ).
fof(f60,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f61,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( v2_orders_2(X0)
& v2_orders_2(X1) )
=> v2_orders_2(k1_latsum_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_latsum_1) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f64,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f66,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(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(k4_tarski(X2,X3),u1_orders_2(X1))
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_latsum_1) ).
fof(f69,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( X2 = X4
& X3 = X5
& r1_latsum_1(X0,X1)
& v3_orders_2(X0) )
=> ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(k1_latsum_1(X0,X1),X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_latsum_1) ).
fof(f70,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5
& r1_latsum_1(X0,X1)
& v3_orders_2(X1) )
=> ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> r1_orders_2(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_latsum_1) ).
fof(f75,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1) )
=> ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f76,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1) )
=> ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f75]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<~> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) )
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<~> ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) ) )
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(k1_latsum_1(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(k1_latsum_1(X0,X1),X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(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(k4_tarski(X2,X3),u1_orders_2(X1)) ) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(k1_latsum_1(X0,X1))
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(k1_latsum_1(X0,X1))
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f84]) ).
fof(f88,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f88]) ).
fof(f90,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,[],[f14]) ).
fof(f91,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,[],[f90]) ).
fof(f92,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(f93,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,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f98]) ).
fof(f108,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f64]) ).
fof(f114,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f115,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f117,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k5_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ? [X5] :
( r2_hidden(k4_tarski(X3,X5),X0)
& r2_hidden(k4_tarski(X5,X4),X1) ) ) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(ennf_transformation,[],[f48]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(flattening,[],[f126]) ).
fof(f129,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,[],[f27]) ).
fof(f130,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(f135,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f136,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X3) )
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) )
| r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f138,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X3) )
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
& r1_orders_2(k1_latsum_1(X0,X1),X4,X3) )
| r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X4)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X3) )
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& ( ? [X5] :
( m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
& r2_hidden(X5,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X5)
& r1_orders_2(k1_latsum_1(X0,X1),X5,X3) )
| r1_orders_2(k1_latsum_1(X0,X1),X2,X3) )
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
( ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X4)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X4,sK3) )
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) )
& ( ( m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
& r2_hidden(sK4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK4)
& r1_orders_2(k1_latsum_1(sK0,sK1),sK4,sK3) )
| r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) )
& r2_hidden(sK2,u1_struct_0(sK0))
& r2_hidden(sK3,u1_struct_0(sK1))
& r1_latsum_1(sK0,sK1)
& m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& v2_orders_2(sK0)
& v3_orders_2(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4)],[f139]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r1_orders_2(X1,X4,X5) )
& ( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3) ) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X5) )
& ( r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ r1_orders_2(X0,X2,X3) ) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1))) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f143,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,[],[f93]) ).
fof(f144,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,[],[f143]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
& ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK7(X0,X1,X2),X0)
| ~ r2_hidden(sK7(X0,X1,X2),X1)
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( ( r2_hidden(sK7(X0,X1,X2),X0)
& r2_hidden(sK7(X0,X1,X2),X1) )
| r2_hidden(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f151]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X1,X3) )
& ( ( r2_hidden(X0,X2)
& r2_hidden(X1,X3) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_relat_1(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ r2_hidden(k4_tarski(X3,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X1) )
| ~ r2_hidden(k4_tarski(X3,X4),X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X3,X5),X0)
& r2_hidden(k4_tarski(X5,X4),X1) )
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X3,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X1) ) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X3,X5),X0)
& r2_hidden(k4_tarski(X5,X4),X1) )
| ~ r2_hidden(k4_tarski(X3,X4),X2) ) )
| k5_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_relat_1(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ r2_hidden(k4_tarski(X3,X5),X0)
| ~ r2_hidden(k4_tarski(X5,X4),X1) )
| ~ r2_hidden(k4_tarski(X3,X4),X2) )
& ( ? [X6] :
( r2_hidden(k4_tarski(X3,X6),X0)
& r2_hidden(k4_tarski(X6,X4),X1) )
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( r2_hidden(k4_tarski(X7,X8),X2)
| ! [X9] :
( ~ r2_hidden(k4_tarski(X7,X9),X0)
| ~ r2_hidden(k4_tarski(X9,X8),X1) ) )
& ( ? [X10] :
( r2_hidden(k4_tarski(X7,X10),X0)
& r2_hidden(k4_tarski(X10,X8),X1) )
| ~ r2_hidden(k4_tarski(X7,X8),X2) ) )
| k5_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_relat_1(X0,X1)
| ( ( ! [X5] :
( ~ r2_hidden(k4_tarski(sK10(X0,X1,X2),X5),X0)
| ~ r2_hidden(k4_tarski(X5,sK11(X0,X1,X2)),X1) )
| ~ r2_hidden(k4_tarski(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) )
& ( ( r2_hidden(k4_tarski(sK10(X0,X1,X2),sK12(X0,X1,X2)),X0)
& r2_hidden(k4_tarski(sK12(X0,X1,X2),sK11(X0,X1,X2)),X1) )
| r2_hidden(k4_tarski(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( r2_hidden(k4_tarski(X7,X8),X2)
| ! [X9] :
( ~ r2_hidden(k4_tarski(X7,X9),X0)
| ~ r2_hidden(k4_tarski(X9,X8),X1) ) )
& ( ( r2_hidden(k4_tarski(X7,sK13(X0,X1,X7,X8)),X0)
& r2_hidden(k4_tarski(sK13(X0,X1,X7,X8),X8),X1) )
| ~ r2_hidden(k4_tarski(X7,X8),X2) ) )
| k5_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X3,sK10(X0,X1,X2)),skolemize(X4,sK11(X0,X1,X2)),skolemize(X6,sK12(X0,X1,X2)),skolemize(X10,sK13(X0,X1,X7,X8))],[f158]) ).
fof(f160,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(f161,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,[],[f160]) ).
fof(f162,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,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK14(X0,X1,X2),X0)
& ~ r2_hidden(sK14(X0,X1,X2),X1) )
| ~ r2_hidden(sK14(X0,X1,X2),X2) )
& ( r2_hidden(sK14(X0,X1,X2),X0)
| r2_hidden(sK14(X0,X1,X2),X1)
| r2_hidden(sK14(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,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f162]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f170,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f174,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f175,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f176,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f177,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f178,plain,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f140]) ).
fof(f179,plain,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f140]) ).
fof(f180,plain,
r1_latsum_1(sK0,sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f181,plain,
r2_hidden(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f140]) ).
fof(f182,plain,
r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f140]) ).
fof(f183,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK4,sK3)
| r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f184,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK4)
| r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f185,plain,
( r2_hidden(sK4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f186,plain,
( m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f187,plain,
! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X4)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X4,sK3)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r1_orders_2(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ r1_orders_2(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f194,plain,
! [X0,X1] :
( v2_orders_2(k1_latsum_1(X0,X1))
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f198,plain,
! [X0,X1] :
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f199,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f200,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f201,plain,
! [X2,X0,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(cnf_transformation,[],[f144]) ).
fof(f202,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,[],[f144]) ).
fof(f204,plain,
! [X0,X1] :
( r1_orders_2(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
| m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
| m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f215,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f216,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f223,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f152]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f233,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f234,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f156]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f238,plain,
! [X2,X0,X1,X8,X7] :
( r2_hidden(k4_tarski(sK13(X0,X1,X7,X8),X8),X1)
| ~ r2_hidden(k4_tarski(X7,X8),X2)
| k5_relat_1(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f239,plain,
! [X2,X0,X1,X8,X7] :
( r2_hidden(k4_tarski(X7,sK13(X0,X1,X7,X8)),X0)
| ~ r2_hidden(k4_tarski(X7,X8),X2)
| k5_relat_1(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f240,plain,
! [X2,X0,X1,X8,X9,X7] :
( r2_hidden(k4_tarski(X7,X8),X2)
| ~ r2_hidden(k4_tarski(X7,X9),X0)
| ~ r2_hidden(k4_tarski(X9,X8),X1)
| k5_relat_1(X0,X1) != X2
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f244,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,[],[f163]) ).
fof(f245,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f163]) ).
fof(f246,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f163]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f261,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,[],[f129]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f271,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f275,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f278,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X4,X3)
| ~ r1_orders_2(X1,X4,X5)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f189]) ).
fof(f279,plain,
! [X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ r1_orders_2(X1,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f278]) ).
fof(f280,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X3)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f188]) ).
fof(f281,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| r1_orders_2(X1,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f280]) ).
fof(f282,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X4,X3)
| ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f191]) ).
fof(f283,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| r1_orders_2(X0,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f282]) ).
fof(f284,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ r1_orders_2(X0,X4,X3)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f190]) ).
fof(f285,plain,
! [X0,X1,X4,X5] :
( r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ r1_orders_2(X0,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f284]) ).
fof(f286,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(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,[],[f202]) ).
fof(f287,plain,
! [X0,X1] :
( 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_orders_2(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,[],[f201]) ).
fof(f288,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k3_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f223]) ).
fof(f291,plain,
! [X0,X1,X8,X9,X7] :
( r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ r2_hidden(k4_tarski(X7,X9),X0)
| ~ r2_hidden(k4_tarski(X9,X8),X1)
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f240]) ).
fof(f292,plain,
! [X0,X1,X8,X7] :
( r2_hidden(k4_tarski(X7,sK13(X0,X1,X7,X8)),X0)
| ~ r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f239]) ).
fof(f293,plain,
! [X0,X1,X8,X7] :
( r2_hidden(k4_tarski(sK13(X0,X1,X7,X8),X8),X1)
| ~ r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f238]) ).
fof(f294,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f246]) ).
fof(f295,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f245]) ).
fof(f296,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f244]) ).
fof(f297,plain,
! [X0,X1,X8,X7] :
( r2_hidden(k4_tarski(sK13(X0,X1,X7,X8),X8),X1)
| ~ r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[],[f293,f275]) ).
fof(f298,plain,
! [X0,X1,X8,X7] :
( r2_hidden(k4_tarski(X7,sK13(X0,X1,X7,X8)),X0)
| ~ r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[],[f292,f275]) ).
fof(f299,plain,
! [X0,X1,X8,X9,X7] :
( r2_hidden(k4_tarski(X7,X8),k5_relat_1(X0,X1))
| ~ r2_hidden(k4_tarski(X7,X9),X0)
| ~ r2_hidden(k4_tarski(X9,X8),X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[],[f291,f275]) ).
fof(f301,definition,
( spl20_1
<=> r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f302,plain,
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
| spl20_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl20_2
<=> r1_orders_2(k1_latsum_1(sK0,sK1),sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f307,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK4,sK3)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f183,f305,f301]) ).
fof(f310,definition,
( spl20_3
<=> r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f312,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK4)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,plain,
( spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f184,f310,f301]) ).
fof(f315,definition,
( spl20_4
<=> r2_hidden(sK4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f317,plain,
( r2_hidden(sK4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( spl20_1
| spl20_4 ),
inference(avatar_split_clause,[],[f185,f315,f301]) ).
fof(f320,definition,
( spl20_5
<=> m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f322,plain,
( m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,plain,
( spl20_1
| spl20_5 ),
inference(avatar_split_clause,[],[f186,f320,f301]) ).
fof(f325,definition,
( spl20_6
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X4,sK3)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X4)
| ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))) ) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f326,plain,
( ! [X4] :
( ~ r2_hidden(X4,k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)))
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X4,sK3)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X4)
| ~ m1_subset_1(X4,u1_struct_0(k1_latsum_1(sK0,sK1))) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( ~ spl20_1
| spl20_6 ),
inference(avatar_split_clause,[],[f187,f325,f301]) ).
fof(f346,definition,
( spl20_8
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
fof(f347,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| spl20_8 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f364,definition,
( spl20_10
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
fof(f365,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| spl20_10 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f383,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2 ),
inference(resolution,[],[f281,f307]) ).
fof(f388,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f383,f180]) ).
fof(f389,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f388,f175]) ).
fof(f390,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f389,f179]) ).
fof(f391,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f390,f322]) ).
fof(f392,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f391,f177]) ).
fof(f393,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f392,f174]) ).
fof(f394,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f393,f173]) ).
fof(f395,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f394,f170]) ).
fof(f397,definition,
( spl20_13
<=> m1_subset_1(sK4,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f398,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f401,definition,
( spl20_14
<=> r1_orders_2(sK1,sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl20_14])],[avatar_definition]) ).
fof(f403,plain,
( r1_orders_2(sK1,sK4,sK3)
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f404,plain,
( ~ spl20_13
| ~ spl20_8
| spl20_14
| ~ spl20_2
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f395,f320,f305,f401,f346,f397]) ).
fof(f405,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3 ),
inference(resolution,[],[f283,f312]) ).
fof(f420,definition,
( spl20_15
<=> m1_subset_1(sK4,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_15])],[avatar_definition]) ).
fof(f421,plain,
( m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| spl20_15 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f261,f262]) ).
fof(f430,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4 ),
inference(resolution,[],[f205,f317]) ).
fof(f433,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f430,f177]) ).
fof(f434,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f433,f174]) ).
fof(f435,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK0)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f434,f173]) ).
fof(f436,plain,
( m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f435,f170]) ).
fof(f437,plain,
( spl20_13
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f436,f315,f397]) ).
fof(f438,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(resolution,[],[f326,f288]) ).
fof(f453,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(resolution,[],[f438,f285]) ).
fof(f456,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f460,definition,
( spl20_19
<=> r2_hidden(sK3,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition]) ).
fof(f461,plain,
( r2_hidden(sK3,u1_struct_0(sK0))
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| spl20_19 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f468,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ 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(superposition,[],[f294,f286]) ).
fof(f471,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f468,f200]) ).
fof(f473,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f471,f199]) ).
fof(f474,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(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(superposition,[],[f295,f286]) ).
fof(f475,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,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(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f295,f287]) ).
fof(f476,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,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)))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f475,f200]) ).
fof(f477,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f474,f200]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,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)))
| r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f476,f199]) ).
fof(f479,plain,
! [X2,X0,X1] :
( r2_hidden(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f477,f199]) ).
fof(f487,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f217,f193]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f487,f199]) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| v3_struct_0(k1_latsum_1(X1,X2))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X1,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f204,f283]) ).
fof(f492,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| v3_struct_0(k1_latsum_1(X1,X2))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X2,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f204,f281]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| v3_struct_0(k1_latsum_1(X1,X2))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X2,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| v3_struct_0(k1_latsum_1(X1,X2))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X1,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X2,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f495,f198]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X1,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f496,f198]) ).
fof(f501,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X2,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f498,f199]) ).
fof(f502,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ v2_orders_2(k1_latsum_1(X1,X2))
| r1_orders_2(X1,X0,X0)
| ~ r1_latsum_1(X1,X2)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f499,f199]) ).
fof(f509,definition,
( spl20_22
<=> l1_orders_2(k1_latsum_1(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f510,plain,
( l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl20_22 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl20_23
<=> v2_orders_2(k1_latsum_1(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_23])],[avatar_definition]) ).
fof(f514,plain,
( v2_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| spl20_23 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,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)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(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(superposition,[],[f296,f287]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,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)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)))
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f524,f200]) ).
fof(f527,plain,
! [X2,X0,X1] :
( r2_hidden(X2,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)))
| ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f525,f199]) ).
fof(f536,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(resolution,[],[f234,f182]) ).
fof(f537,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(resolution,[],[f234,f181]) ).
fof(f538,plain,
( $false
| spl20_8 ),
inference(forward_subsumption_resolution,[],[f537,f348]) ).
fof(f539,plain,
spl20_8,
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f540,plain,
( $false
| spl20_10 ),
inference(forward_subsumption_resolution,[],[f536,f366]) ).
fof(f541,plain,
spl20_10,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f542,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f405,f180]) ).
fof(f543,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f456,f234]) ).
fof(f544,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f542,f171]) ).
fof(f545,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f543,f180]) ).
fof(f546,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f544,f322]) ).
fof(f547,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f545,f171]) ).
fof(f548,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f546,f178]) ).
fof(f549,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f547,f178]) ).
fof(f550,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f548,f365]) ).
fof(f551,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f549,f365]) ).
fof(f552,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f550,f177]) ).
fof(f553,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f551,f177]) ).
fof(f554,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f552,f174]) ).
fof(f555,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f553,f174]) ).
fof(f556,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f554,f173]) ).
fof(f557,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f555,f173]) ).
fof(f558,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f556,f170]) ).
fof(f559,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f557,f170]) ).
fof(f561,definition,
( spl20_25
<=> r1_orders_2(sK0,sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl20_25])],[avatar_definition]) ).
fof(f563,plain,
( r1_orders_2(sK0,sK2,sK4)
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( ~ spl20_15
| spl20_25
| ~ spl20_3
| ~ spl20_5
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f558,f364,f320,f310,f561,f420]) ).
fof(f590,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(k1_latsum_1(X2,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ r2_hidden(X0,u1_struct_0(X1)) ),
inference(resolution,[],[f479,f234]) ).
fof(f591,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(k1_latsum_1(X1,X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ r2_hidden(X0,u1_struct_0(X1)) ),
inference(resolution,[],[f473,f234]) ).
fof(f621,plain,
( m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4 ),
inference(resolution,[],[f317,f206]) ).
fof(f627,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_15 ),
inference(forward_subsumption_resolution,[],[f621,f422]) ).
fof(f628,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_15 ),
inference(forward_subsumption_resolution,[],[f627,f177]) ).
fof(f629,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_15 ),
inference(forward_subsumption_resolution,[],[f628,f174]) ).
fof(f630,plain,
( ~ l1_orders_2(sK0)
| ~ spl20_4
| spl20_15 ),
inference(forward_subsumption_resolution,[],[f629,f173]) ).
fof(f631,plain,
( $false
| ~ spl20_4
| spl20_15 ),
inference(forward_subsumption_resolution,[],[f630,f170]) ).
fof(f632,plain,
( ~ spl20_4
| spl20_15 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f638,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k4_tarski(X3,X0),k2_zfmisc_1(X2,X1))
| v1_xboole_0(k2_zfmisc_1(X2,X1))
| r2_hidden(X0,X1) ),
inference(resolution,[],[f235,f233]) ).
fof(f640,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k4_tarski(X0,X3),k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X0,X1) ),
inference(resolution,[],[f236,f233]) ).
fof(f678,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(resolution,[],[f326,f288]) ).
fof(f685,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(resolution,[],[f559,f279]) ).
fof(f688,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f690,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f688,f234]) ).
fof(f691,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f690,f590]) ).
fof(f692,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f691,f180]) ).
fof(f693,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f692,f175]) ).
fof(f694,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f693,f347]) ).
fof(f695,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f694,f179]) ).
fof(f696,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f695,f177]) ).
fof(f697,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f696,f174]) ).
fof(f698,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r1_orders_2(sK1,X0,sK3)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f697,f173]) ).
fof(f699,plain,
( ! [X0] :
( ~ r1_orders_2(sK1,X0,sK3)
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ r2_hidden(X0,u1_struct_0(sK0)) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f698,f170]) ).
fof(f740,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f501,f179]) ).
fof(f742,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f740,f180]) ).
fof(f743,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f742,f175]) ).
fof(f744,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f743,f347]) ).
fof(f745,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f744,f177]) ).
fof(f746,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f745,f174]) ).
fof(f747,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ l1_orders_2(sK0)
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f746,f173]) ).
fof(f748,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK1,sK3,sK3)
| ~ spl20_8 ),
inference(forward_subsumption_resolution,[],[f747,f170]) ).
fof(f750,definition,
( spl20_31
<=> r1_orders_2(sK1,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl20_31])],[avatar_definition]) ).
fof(f752,plain,
( r1_orders_2(sK1,sK3,sK3)
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f753,plain,
( spl20_31
| ~ spl20_23
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f748,f346,f513,f750]) ).
fof(f754,plain,
( ~ v2_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl20_23 ),
inference(resolution,[],[f515,f194]) ).
fof(f755,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl20_23 ),
inference(forward_subsumption_resolution,[],[f754,f172]) ).
fof(f756,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl20_23 ),
inference(forward_subsumption_resolution,[],[f755,f176]) ).
fof(f757,plain,
( ~ l1_orders_2(sK0)
| spl20_23 ),
inference(forward_subsumption_resolution,[],[f756,f174]) ).
fof(f758,plain,
( $false
| spl20_23 ),
inference(forward_subsumption_resolution,[],[f757,f170]) ).
fof(f759,plain,
spl20_23,
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f761,plain,
( ~ v2_orders_2(k1_latsum_1(sK0,sK1))
| r1_orders_2(sK0,sK2,sK2)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f502,f178]) ).
fof(f765,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f761,f514]) ).
fof(f767,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ v3_orders_2(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f765,f180]) ).
fof(f769,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f767,f171]) ).
fof(f771,plain,
( r1_orders_2(sK0,sK2,sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f769,f365]) ).
fof(f773,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f771,f177]) ).
fof(f775,plain,
( r1_orders_2(sK0,sK2,sK2)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f773,f174]) ).
fof(f777,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f775,f173]) ).
fof(f779,plain,
( r1_orders_2(sK0,sK2,sK2)
| ~ spl20_10
| ~ spl20_23 ),
inference(forward_subsumption_resolution,[],[f777,f170]) ).
fof(f957,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(resolution,[],[f232,f261]) ).
fof(f1008,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X3,sK13(X2,u1_orders_2(X3),X0,X1),X1)
| ~ v1_relat_1(u1_orders_2(X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(X2,u1_orders_2(X3)))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(sK13(X2,u1_orders_2(X3),X0,X1),u1_struct_0(X3))
| ~ l1_orders_2(X3) ),
inference(resolution,[],[f297,f217]) ).
fof(f1024,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(resolution,[],[f489,f678]) ).
fof(f1025,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1029,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f1025,f590]) ).
fof(f1032,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f1029,f178]) ).
fof(f1035,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ l1_orders_2(sK0)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f1032,f174]) ).
fof(f1038,plain,
( ! [X0] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X0,sK3)
| ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f1035,f170]) ).
fof(f1053,definition,
( spl20_36
<=> v1_relat_1(u1_orders_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_36])],[avatar_definition]) ).
fof(f1054,plain,
( v1_relat_1(u1_orders_2(sK0))
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1055,plain,
( ~ v1_relat_1(u1_orders_2(sK0))
| spl20_36 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1164,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X2,X0,sK13(u1_orders_2(X2),X3,X0,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(u1_orders_2(X2))
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(u1_orders_2(X2),X3))
| ~ m1_subset_1(sK13(u1_orders_2(X2),X3,X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(resolution,[],[f298,f217]) ).
fof(f1216,plain,
! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(resolution,[],[f231,f261]) ).
fof(f1335,plain,
! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f215,f270]) ).
fof(f1336,plain,
! [X0] :
( v1_relat_1(u1_orders_2(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f215,f428]) ).
fof(f1368,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(superposition,[],[f478,f258]) ).
fof(f1369,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f1368,f1335]) ).
fof(f1378,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1369,f1335]) ).
fof(f1549,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| spl20_22 ),
inference(resolution,[],[f511,f199]) ).
fof(f1550,plain,
( ~ l1_orders_2(sK1)
| spl20_22 ),
inference(forward_subsumption_resolution,[],[f1549,f170]) ).
fof(f1551,plain,
( $false
| spl20_22 ),
inference(forward_subsumption_resolution,[],[f1550,f174]) ).
fof(f1552,plain,
spl20_22,
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f2120,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(superposition,[],[f527,f258]) ).
fof(f2126,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f2120,f1335]) ).
fof(f2135,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k5_relat_1(u1_orders_2(X0),u1_orders_2(X1)))
| ~ r2_hidden(X2,u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(X2,k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f2126,f1335]) ).
fof(f2913,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f271,f428]) ).
fof(f3723,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(X2,X1)
| ~ r2_hidden(k4_tarski(X3,X2),X4)
| ~ m2_relset_1(X4,X0,X1) ),
inference(resolution,[],[f638,f957]) ).
fof(f3728,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X3,X2),X4)
| r2_hidden(X2,X1)
| ~ m2_relset_1(X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f3723,f1216]) ).
fof(f3730,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(X2,X0)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ m2_relset_1(X4,X0,X1) ),
inference(resolution,[],[f640,f957]) ).
fof(f3735,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X2,X3),X4)
| r2_hidden(X2,X0)
| ~ m2_relset_1(X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f3730,f1216]) ).
fof(f4109,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k5_relat_1(X0,X1),X2,X5)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_relset_1(X1,X4,X5)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_relset_1(X1,X4,X5) ),
inference(superposition,[],[f259,f258]) ).
fof(f4110,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k5_relat_1(X0,X1),X2,X5)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_relset_1(X1,X4,X5) ),
inference(duplicate_literal_removal,[],[f4109]) ).
fof(f4239,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_relset_1(k5_relat_1(X2,X3),X1,X4)
| r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X0,X5),X2)
| ~ r2_hidden(k4_tarski(X5,X6),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2) ),
inference(resolution,[],[f3735,f299]) ).
fof(f4286,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X0,X2),X3)
| ~ r2_hidden(k4_tarski(X2,X4),X5)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X6)
| ~ m1_relset_1(X5,X7,X8) ),
inference(resolution,[],[f4239,f4110]) ).
fof(f4288,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X0,X2),X3)
| ~ r2_hidden(k4_tarski(X2,X4),X5)
| ~ v1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X6)
| ~ m1_relset_1(X5,X7,X8) ),
inference(forward_subsumption_resolution,[],[f4286,f2913]) ).
fof(f4289,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2_hidden(k4_tarski(X2,X4),X5)
| ~ r2_hidden(k4_tarski(X0,X2),X3)
| r2_hidden(X0,X1)
| ~ m1_relset_1(X3,X1,X6)
| ~ m1_relset_1(X5,X7,X8) ),
inference(forward_subsumption_resolution,[],[f4288,f2913]) ).
fof(f4290,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(u1_orders_2(X5),X6,X7)
| r2_hidden(X0,X3)
| ~ m1_relset_1(X2,X3,X4)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ~ r1_orders_2(X5,X1,X8)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X1,u1_struct_0(X5))
| ~ l1_orders_2(X5) ),
inference(resolution,[],[f4289,f216]) ).
fof(f4386,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_hidden(X0,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ r2_hidden(k4_tarski(X0,X4),X2)
| ~ r1_orders_2(X5,X4,X6)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ m1_subset_1(X4,u1_struct_0(X5))
| ~ l1_orders_2(X5)
| ~ l1_orders_2(X5) ),
inference(resolution,[],[f4290,f1335]) ).
fof(f4395,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(k4_tarski(X0,X4),X2)
| ~ m1_relset_1(X2,X1,X3)
| r2_hidden(X0,X1)
| ~ r1_orders_2(X5,X4,X6)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ m1_subset_1(X4,u1_struct_0(X5))
| ~ l1_orders_2(X5) ),
inference(duplicate_literal_removal,[],[f4386]) ).
fof(f4397,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(u1_orders_2(X0),X1,X2)
| r2_hidden(X3,X1)
| ~ r1_orders_2(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l1_orders_2(X4)
| ~ r1_orders_2(X0,X3,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f4395,f216]) ).
fof(f4406,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| r2_hidden(sK13(X3,X0,X4,X5),X1)
| ~ r1_orders_2(X6,X5,X7)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ~ m1_subset_1(X5,u1_struct_0(X6))
| ~ l1_orders_2(X6)
| ~ r2_hidden(k4_tarski(X4,X5),k5_relat_1(X3,X0))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3) ),
inference(resolution,[],[f4395,f297]) ).
fof(f4419,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( r2_hidden(sK13(X3,X0,X4,X5),X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ r1_orders_2(X6,X5,X7)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ~ m1_subset_1(X5,u1_struct_0(X6))
| ~ l1_orders_2(X6)
| ~ r2_hidden(k4_tarski(X4,X5),k5_relat_1(X3,X0))
| ~ v1_relat_1(X3) ),
inference(forward_subsumption_resolution,[],[f4406,f2913]) ).
fof(f4507,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,u1_struct_0(X1))
| ~ r1_orders_2(X2,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ r1_orders_2(X1,X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f4397,f1335]) ).
fof(f4515,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_orders_2(X2,X3,X4)
| r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ r1_orders_2(X1,X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(duplicate_literal_removal,[],[f4507]) ).
fof(f4541,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ r1_orders_2(X1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl20_31 ),
inference(resolution,[],[f4515,f752]) ).
fof(f4551,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ r1_orders_2(X1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl20_31 ),
inference(duplicate_literal_removal,[],[f4541]) ).
fof(f4575,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(X1))
| ~ l1_orders_2(sK1)
| ~ r1_orders_2(X1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f4551,f347]) ).
fof(f4597,plain,
( ! [X0,X1] :
( ~ r1_orders_2(X1,X0,sK3)
| r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f4575,f174]) ).
fof(f6896,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_relset_1(k5_relat_1(X2,X3),X4,X1)
| r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X5,X6),X2)
| ~ r2_hidden(k4_tarski(X6,X0),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2) ),
inference(resolution,[],[f3728,f299]) ).
fof(f6964,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ r2_hidden(k4_tarski(X3,X0),X5)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ m1_relset_1(X4,X6,X7)
| ~ m1_relset_1(X5,X8,X1) ),
inference(resolution,[],[f6896,f4110]) ).
fof(f6966,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ r2_hidden(k4_tarski(X3,X0),X5)
| ~ v1_relat_1(X4)
| ~ m1_relset_1(X4,X6,X7)
| ~ m1_relset_1(X5,X8,X1) ),
inference(forward_subsumption_resolution,[],[f6964,f2913]) ).
fof(f6967,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2_hidden(k4_tarski(X3,X0),X5)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| r2_hidden(X0,X1)
| ~ m1_relset_1(X4,X6,X7)
| ~ m1_relset_1(X5,X8,X1) ),
inference(forward_subsumption_resolution,[],[f6966,f2913]) ).
fof(f6974,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2_hidden(k4_tarski(X0,X1),X2)
| r2_hidden(sK13(X3,X4,X1,X5),X6)
| ~ m1_relset_1(X2,X7,X8)
| ~ m1_relset_1(X3,X9,X6)
| ~ r2_hidden(k4_tarski(X1,X5),k5_relat_1(X3,X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ),
inference(resolution,[],[f6967,f298]) ).
fof(f7001,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( r2_hidden(sK13(X3,X4,X1,X5),X6)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ~ m1_relset_1(X2,X7,X8)
| ~ m1_relset_1(X3,X9,X6)
| ~ r2_hidden(k4_tarski(X1,X5),k5_relat_1(X3,X4))
| ~ v1_relat_1(X4) ),
inference(forward_subsumption_resolution,[],[f6974,f2913]) ).
fof(f7368,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,sK13(X0,u1_orders_2(sK1),X1,sK3))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X1,sK3),k5_relat_1(X0,u1_orders_2(sK1)))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(resolution,[],[f699,f1008]) ).
fof(f7373,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,sK13(X0,u1_orders_2(sK1),X1,sK3))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X1,sK3),k5_relat_1(X0,u1_orders_2(sK1)))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f7368,f234]) ).
fof(f7379,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,sK13(X0,u1_orders_2(sK1),X1,sK3))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X1,sK3),k5_relat_1(X0,u1_orders_2(sK1)))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f7373,f1336]) ).
fof(f7380,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ r1_orders_2(sK0,sK2,sK13(X0,u1_orders_2(sK1),X1,sK3))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X1,sK3),k5_relat_1(X0,u1_orders_2(sK1)))
| ~ l1_orders_2(sK1) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f7379,f347]) ).
fof(f7381,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,sK2,sK13(X0,u1_orders_2(sK1),X1,sK3))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(X0,u1_orders_2(sK1),X1,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(X0)
| ~ r2_hidden(k4_tarski(X1,sK3),k5_relat_1(X0,u1_orders_2(sK1))) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f7380,f174]) ).
fof(f7525,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6 ),
inference(resolution,[],[f1038,f279]) ).
fof(f7537,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7525,f4597]) ).
fof(f7542,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7537,f591]) ).
fof(f7546,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7542,f180]) ).
fof(f7549,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7546,f175]) ).
fof(f7552,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7549,f347]) ).
fof(f7553,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7552,f179]) ).
fof(f7554,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7553,f177]) ).
fof(f7555,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7554,f174]) ).
fof(f7556,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK0) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7555,f173]) ).
fof(f7557,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) )
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31 ),
inference(forward_subsumption_resolution,[],[f7556,f170]) ).
fof(f7747,definition,
( spl20_73
<=> v1_relat_1(u1_orders_2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_73])],[avatar_definition]) ).
fof(f7748,plain,
( v1_relat_1(u1_orders_2(sK1))
| ~ spl20_73 ),
inference(avatar_component_clause,[],[f7747]) ).
fof(f7749,plain,
( ~ v1_relat_1(u1_orders_2(sK1))
| spl20_73 ),
inference(avatar_component_clause,[],[f7747]) ).
fof(f7827,plain,
( ~ l1_orders_2(sK0)
| spl20_36 ),
inference(resolution,[],[f1055,f1336]) ).
fof(f7830,plain,
( $false
| spl20_36 ),
inference(forward_subsumption_resolution,[],[f7827,f170]) ).
fof(f7831,plain,
spl20_36,
inference(avatar_contradiction_clause,[],[f7830]) ).
fof(f7838,plain,
( ~ l1_orders_2(sK1)
| spl20_73 ),
inference(resolution,[],[f7749,f1336]) ).
fof(f7841,plain,
( $false
| spl20_73 ),
inference(forward_subsumption_resolution,[],[f7838,f174]) ).
fof(f7842,plain,
spl20_73,
inference(avatar_contradiction_clause,[],[f7841]) ).
fof(f7965,definition,
( spl20_88
<=> ! [X2] : ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),X2) ),
introduced(definition,[new_symbols(definition,[spl20_88])],[avatar_definition]) ).
fof(f7966,plain,
( ! [X2] : ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),X2)
| ~ spl20_88 ),
inference(avatar_component_clause,[],[f7965]) ).
fof(f7968,definition,
( spl20_89
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r1_orders_2(X1,sK3,X0)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(sK3,u1_struct_0(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl20_89])],[avatar_definition]) ).
fof(f7969,plain,
( ! [X0,X1] :
( ~ r1_orders_2(X1,sK3,X0)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ m1_subset_1(sK3,u1_struct_0(X1)) )
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f7968]) ).
fof(f8001,definition,
( spl20_93
<=> r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl20_93])],[avatar_definition]) ).
fof(f8002,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| spl20_93 ),
inference(avatar_component_clause,[],[f8001]) ).
fof(f8003,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ spl20_93 ),
inference(avatar_component_clause,[],[f8001]) ).
fof(f8070,definition,
( spl20_103
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| ~ m1_relset_1(X1,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl20_103])],[avatar_definition]) ).
fof(f8071,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| ~ m1_relset_1(X1,X2,X3) )
| ~ spl20_103 ),
inference(avatar_component_clause,[],[f8070]) ).
fof(f8097,definition,
( spl20_107
<=> r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_107])],[avatar_definition]) ).
fof(f8098,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK0))
| spl20_107 ),
inference(avatar_component_clause,[],[f8097]) ).
fof(f8099,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK0))
| ~ spl20_107 ),
inference(avatar_component_clause,[],[f8097]) ).
fof(f8166,definition,
( spl20_112
<=> ! [X4] : ~ m1_relset_1(u1_orders_2(sK0),X4,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_112])],[avatar_definition]) ).
fof(f8167,plain,
( ! [X4] : ~ m1_relset_1(u1_orders_2(sK0),X4,u1_struct_0(sK0))
| ~ spl20_112 ),
inference(avatar_component_clause,[],[f8166]) ).
fof(f8169,plain,
( ~ l1_orders_2(sK0)
| ~ spl20_112 ),
inference(resolution,[],[f8167,f1335]) ).
fof(f8174,plain,
( $false
| ~ spl20_112 ),
inference(forward_subsumption_resolution,[],[f8169,f170]) ).
fof(f8175,plain,
~ spl20_112,
inference(avatar_contradiction_clause,[],[f8174]) ).
fof(f8289,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ m1_subset_1(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(resolution,[],[f7381,f1164]) ).
fof(f8292,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ m1_subset_1(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(duplicate_literal_removal,[],[f8289]) ).
fof(f8293,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f8292,f234]) ).
fof(f8294,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f8293,f1336]) ).
fof(f8295,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10
| ~ spl20_73 ),
inference(forward_subsumption_resolution,[],[f8294,f7748]) ).
fof(f8296,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ l1_orders_2(sK0)
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10
| ~ spl20_73 ),
inference(forward_subsumption_resolution,[],[f8295,f365]) ).
fof(f8297,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10
| ~ spl20_73 ),
inference(forward_subsumption_resolution,[],[f8296,f170]) ).
fof(f8299,definition,
( spl20_115
<=> r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl20_115])],[avatar_definition]) ).
fof(f8300,plain,
( r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ spl20_115 ),
inference(avatar_component_clause,[],[f8299]) ).
fof(f8301,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| spl20_115 ),
inference(avatar_component_clause,[],[f8299]) ).
fof(f8303,definition,
( spl20_116
<=> r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_116])],[avatar_definition]) ).
fof(f8305,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK0))
| spl20_116 ),
inference(avatar_component_clause,[],[f8303]) ).
fof(f8307,definition,
( spl20_117
<=> r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_117])],[avatar_definition]) ).
fof(f8309,plain,
( ~ r2_hidden(sK13(u1_orders_2(sK0),u1_orders_2(sK1),sK2,sK3),u1_struct_0(sK1))
| spl20_117 ),
inference(avatar_component_clause,[],[f8307]) ).
fof(f8310,plain,
( ~ spl20_115
| ~ spl20_116
| ~ spl20_117
| ~ spl20_6
| ~ spl20_8
| ~ spl20_10
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f8297,f7747,f364,f346,f325,f8307,f8303,f8299]) ).
fof(f8312,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(k4_tarski(sK2,sK3),k2_xboole_0(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl20_115 ),
inference(resolution,[],[f8301,f2135]) ).
fof(f8327,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(k4_tarski(sK2,sK3),k2_xboole_0(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ l1_orders_2(sK0)
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8312,f174]) ).
fof(f8329,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(k4_tarski(sK2,sK3),k2_xboole_0(u1_orders_2(sK0),u1_orders_2(sK1)))
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8327,f170]) ).
fof(f8332,definition,
( spl20_120
<=> r2_hidden(k4_tarski(sK2,sK3),k2_xboole_0(u1_orders_2(sK0),u1_orders_2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl20_120])],[avatar_definition]) ).
fof(f8334,plain,
( r2_hidden(k4_tarski(sK2,sK3),k2_xboole_0(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ spl20_120 ),
inference(avatar_component_clause,[],[f8332]) ).
fof(f8335,plain,
( spl20_120
| ~ spl20_93
| spl20_115 ),
inference(avatar_split_clause,[],[f8329,f8299,f8001,f8332]) ).
fof(f8390,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_relset_1(u1_orders_2(sK0),X4,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK1)) )
| spl20_116 ),
inference(resolution,[],[f8305,f7001]) ).
fof(f8411,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_relset_1(u1_orders_2(sK0),X4,u1_struct_0(sK0))
| ~ v1_relat_1(u1_orders_2(sK1)) )
| ~ spl20_115
| spl20_116 ),
inference(forward_subsumption_resolution,[],[f8390,f8300]) ).
fof(f8417,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_relset_1(u1_orders_2(sK0),X4,u1_struct_0(sK0)) )
| ~ spl20_73
| ~ spl20_115
| spl20_116 ),
inference(forward_subsumption_resolution,[],[f8411,f7748]) ).
fof(f8430,plain,
( spl20_112
| spl20_103
| ~ spl20_73
| ~ spl20_115
| spl20_116 ),
inference(avatar_split_clause,[],[f8417,f8303,f8299,f7747,f8070,f8166]) ).
fof(f8431,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| spl20_115 ),
inference(resolution,[],[f8301,f299]) ).
fof(f8438,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8431,f7748]) ).
fof(f8439,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1)) )
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8438,f1054]) ).
fof(f8440,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(resolution,[],[f8439,f216]) ).
fof(f8448,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8440,f365]) ).
fof(f8449,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f8448,f170]) ).
fof(f8467,plain,
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl20_93 ),
inference(resolution,[],[f8002,f216]) ).
fof(f8486,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_1
| spl20_93 ),
inference(forward_subsumption_resolution,[],[f8467,f303]) ).
fof(f8493,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_1
| spl20_93 ),
inference(forward_subsumption_resolution,[],[f8486,f179]) ).
fof(f8497,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_1
| spl20_93 ),
inference(forward_subsumption_resolution,[],[f8493,f178]) ).
fof(f8498,plain,
( $false
| ~ spl20_1
| ~ spl20_22
| spl20_93 ),
inference(forward_subsumption_resolution,[],[f8497,f510]) ).
fof(f8499,plain,
( ~ spl20_1
| ~ spl20_22
| spl20_93 ),
inference(avatar_contradiction_clause,[],[f8498]) ).
fof(f8505,plain,
( r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| ~ spl20_93 ),
inference(resolution,[],[f8003,f217]) ).
fof(f8727,definition,
( spl20_154
<=> r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_154])],[avatar_definition]) ).
fof(f8728,plain,
( ~ r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK1))
| spl20_154 ),
inference(avatar_component_clause,[],[f8727]) ).
fof(f8729,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK1))
| ~ spl20_154 ),
inference(avatar_component_clause,[],[f8727]) ).
fof(f9238,plain,
( ~ l1_orders_2(sK1)
| ~ spl20_88 ),
inference(resolution,[],[f7966,f1335]) ).
fof(f9243,plain,
( $false
| ~ spl20_88 ),
inference(forward_subsumption_resolution,[],[f9238,f174]) ).
fof(f9244,plain,
~ spl20_88,
inference(avatar_contradiction_clause,[],[f9243]) ).
fof(f9358,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK1))
| r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK0))
| ~ spl20_120 ),
inference(resolution,[],[f8334,f296]) ).
fof(f9379,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(sK0))
| ~ spl20_120
| spl20_154 ),
inference(forward_subsumption_resolution,[],[f9358,f8728]) ).
fof(f9380,plain,
( $false
| spl20_107
| ~ spl20_120
| spl20_154 ),
inference(forward_subsumption_resolution,[],[f9379,f8098]) ).
fof(f9381,plain,
( spl20_107
| ~ spl20_120
| spl20_154 ),
inference(avatar_contradiction_clause,[],[f9380]) ).
fof(f9382,plain,
( ~ r1_orders_2(sK0,sK2,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115
| ~ spl20_154 ),
inference(resolution,[],[f8729,f8449]) ).
fof(f9417,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl20_10
| ~ spl20_23
| ~ spl20_36
| ~ spl20_73
| spl20_115
| ~ spl20_154 ),
inference(forward_subsumption_resolution,[],[f9382,f779]) ).
fof(f9420,plain,
( $false
| ~ spl20_10
| ~ spl20_23
| ~ spl20_36
| ~ spl20_73
| spl20_115
| ~ spl20_154 ),
inference(forward_subsumption_resolution,[],[f9417,f365]) ).
fof(f9421,plain,
( ~ spl20_10
| ~ spl20_23
| ~ spl20_36
| ~ spl20_73
| spl20_115
| ~ spl20_154 ),
inference(avatar_contradiction_clause,[],[f9420]) ).
fof(f9435,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,sK3,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31
| ~ spl20_107 ),
inference(resolution,[],[f8099,f7557]) ).
fof(f9444,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k4_tarski(X0,sK2),X1)
| r2_hidden(sK3,X2)
| ~ m1_relset_1(X1,X3,X4)
| ~ m1_relset_1(u1_orders_2(sK0),X5,X2) )
| ~ spl20_107 ),
inference(resolution,[],[f8099,f6967]) ).
fof(f9456,definition,
( spl20_187
<=> ! [X2,X5] :
( r2_hidden(sK3,X2)
| ~ m1_relset_1(u1_orders_2(sK0),X5,X2) ) ),
introduced(definition,[new_symbols(definition,[spl20_187])],[avatar_definition]) ).
fof(f9457,plain,
( ! [X2,X5] :
( ~ m1_relset_1(u1_orders_2(sK0),X5,X2)
| r2_hidden(sK3,X2) )
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f9456]) ).
fof(f9458,plain,
( spl20_187
| spl20_103
| ~ spl20_107 ),
inference(avatar_split_clause,[],[f9444,f8097,f8070,f9456]) ).
fof(f9565,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(u1_orders_2(X0),X1,X2)
| ~ r1_orders_2(X0,X3,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl20_103 ),
inference(resolution,[],[f8071,f216]) ).
fof(f9794,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl20_31
| ~ spl20_89 ),
inference(resolution,[],[f7969,f752]) ).
fof(f9795,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ spl20_31
| ~ spl20_89 ),
inference(duplicate_literal_removal,[],[f9794]) ).
fof(f9810,plain,
( ~ l1_orders_2(sK1)
| ~ spl20_8
| ~ spl20_31
| ~ spl20_89 ),
inference(forward_subsumption_resolution,[],[f9795,f347]) ).
fof(f9819,plain,
( $false
| ~ spl20_8
| ~ spl20_31
| ~ spl20_89 ),
inference(forward_subsumption_resolution,[],[f9810,f174]) ).
fof(f9820,plain,
( ~ spl20_8
| ~ spl20_31
| ~ spl20_89 ),
inference(avatar_contradiction_clause,[],[f9819]) ).
fof(f10135,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ spl20_115 ),
inference(resolution,[],[f8300,f1378]) ).
fof(f10365,plain,
( r2_hidden(sK3,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_187 ),
inference(resolution,[],[f9457,f1335]) ).
fof(f10368,plain,
( ~ l1_orders_2(sK0)
| spl20_19
| ~ spl20_187 ),
inference(forward_subsumption_resolution,[],[f10365,f462]) ).
fof(f10369,plain,
( $false
| spl20_19
| ~ spl20_187 ),
inference(forward_subsumption_resolution,[],[f10368,f170]) ).
fof(f10370,plain,
( spl20_19
| ~ spl20_187 ),
inference(avatar_contradiction_clause,[],[f10369]) ).
fof(f10881,plain,
( ! [X0,X1] :
( ~ r1_orders_2(X0,X1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl20_103 ),
inference(resolution,[],[f9565,f1335]) ).
fof(f10889,plain,
( ! [X0,X1] :
( ~ r1_orders_2(X0,X1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl20_103 ),
inference(duplicate_literal_removal,[],[f10881]) ).
fof(f10905,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(resolution,[],[f10889,f779]) ).
fof(f10906,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(duplicate_literal_removal,[],[f10905]) ).
fof(f10921,plain,
( ~ l1_orders_2(sK0)
| ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(forward_subsumption_resolution,[],[f10906,f365]) ).
fof(f10929,plain,
( $false
| ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(forward_subsumption_resolution,[],[f10921,f170]) ).
fof(f10930,plain,
( ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(avatar_contradiction_clause,[],[f10929]) ).
fof(f10941,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),X0)
| ~ r1_orders_2(X1,sK3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ r2_hidden(k4_tarski(sK2,sK3),k5_relat_1(u1_orders_2(sK0),u1_orders_2(sK1)))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| spl20_117 ),
inference(resolution,[],[f8309,f4419]) ).
fof(f10951,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),X0)
| ~ r1_orders_2(X1,sK3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v1_relat_1(u1_orders_2(sK0)) )
| ~ spl20_115
| spl20_117 ),
inference(forward_subsumption_resolution,[],[f10941,f8300]) ).
fof(f10952,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(u1_orders_2(sK1),u1_struct_0(sK1),X0)
| ~ r1_orders_2(X1,sK3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(sK3,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl20_36
| ~ spl20_115
| spl20_117 ),
inference(forward_subsumption_resolution,[],[f10951,f1054]) ).
fof(f10953,plain,
( spl20_89
| spl20_88
| ~ spl20_36
| ~ spl20_115
| spl20_117 ),
inference(avatar_split_clause,[],[f10952,f8307,f8299,f1053,f7965,f7968]) ).
fof(f10982,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl20_1
| ~ spl20_93 ),
inference(forward_subsumption_resolution,[],[f8505,f302]) ).
fof(f11010,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl20_1
| ~ spl20_93 ),
inference(forward_subsumption_resolution,[],[f10982,f179]) ).
fof(f11038,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl20_1
| ~ spl20_93 ),
inference(forward_subsumption_resolution,[],[f11010,f178]) ).
fof(f11043,plain,
( $false
| spl20_1
| ~ spl20_22
| ~ spl20_93 ),
inference(forward_subsumption_resolution,[],[f11038,f510]) ).
fof(f11044,plain,
( spl20_1
| ~ spl20_22
| ~ spl20_93 ),
inference(avatar_contradiction_clause,[],[f11043]) ).
fof(f11049,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| spl20_93
| ~ spl20_115 ),
inference(forward_subsumption_resolution,[],[f10135,f8002]) ).
fof(f11054,plain,
( ~ l1_orders_2(sK0)
| spl20_93
| ~ spl20_115 ),
inference(forward_subsumption_resolution,[],[f11049,f174]) ).
fof(f11055,plain,
( $false
| spl20_93
| ~ spl20_115 ),
inference(forward_subsumption_resolution,[],[f11054,f170]) ).
fof(f11056,plain,
( spl20_93
| ~ spl20_115 ),
inference(avatar_contradiction_clause,[],[f11055]) ).
fof(f11154,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| spl20_115 ),
inference(resolution,[],[f8301,f299]) ).
fof(f11214,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ v1_relat_1(u1_orders_2(sK0)) )
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11154,f7748]) ).
fof(f11216,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(sK2,X0),u1_orders_2(sK0))
| ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1)) )
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11214,f1054]) ).
fof(f11272,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(resolution,[],[f11216,f216]) ).
fof(f11280,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) )
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11272,f365]) ).
fof(f11281,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK3),u1_orders_2(sK1))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11280,f170]) ).
fof(f11282,plain,
( ! [X0] :
( ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(resolution,[],[f11281,f216]) ).
fof(f11290,plain,
( ! [X0] :
( ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl20_8
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11282,f347]) ).
fof(f11291,plain,
( ! [X0] :
( ~ r1_orders_2(sK1,X0,sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1)) )
| ~ spl20_8
| ~ spl20_10
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11290,f174]) ).
fof(f11292,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_8
| ~ spl20_10
| ~ spl20_14
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(resolution,[],[f11291,f403]) ).
fof(f11310,plain,
( ~ r1_orders_2(sK0,sK2,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_8
| ~ spl20_10
| ~ spl20_14
| ~ spl20_15
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11292,f421]) ).
fof(f11311,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl20_8
| ~ spl20_10
| ~ spl20_14
| ~ spl20_15
| ~ spl20_25
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11310,f563]) ).
fof(f11312,plain,
( $false
| ~ spl20_8
| ~ spl20_10
| ~ spl20_13
| ~ spl20_14
| ~ spl20_15
| ~ spl20_25
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(forward_subsumption_resolution,[],[f11311,f398]) ).
fof(f11313,plain,
( ~ spl20_8
| ~ spl20_10
| ~ spl20_13
| ~ spl20_14
| ~ spl20_15
| ~ spl20_25
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(avatar_contradiction_clause,[],[f11312]) ).
fof(f11337,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl20_6
| ~ spl20_8
| ~ spl20_31
| ~ spl20_107 ),
inference(forward_subsumption_resolution,[],[f9435,f752]) ).
fof(f11366,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl20_6
| ~ spl20_8
| ~ spl20_19
| ~ spl20_31
| ~ spl20_107 ),
inference(forward_subsumption_resolution,[],[f11337,f461]) ).
fof(f11383,plain,
( $false
| ~ spl20_6
| ~ spl20_8
| ~ spl20_19
| ~ spl20_31
| ~ spl20_107 ),
inference(forward_subsumption_resolution,[],[f11366,f347]) ).
fof(f11384,plain,
( ~ spl20_6
| ~ spl20_8
| ~ spl20_19
| ~ spl20_31
| ~ spl20_107 ),
inference(avatar_contradiction_clause,[],[f11383]) ).
cnf(s1,plain,
( spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f308]) ).
cnf(s2,plain,
( spl20_1
| spl20_3 ),
inference(sat_conversion,[],[f313]) ).
cnf(s3,plain,
( spl20_1
| spl20_4 ),
inference(sat_conversion,[],[f318]) ).
cnf(s4,plain,
( spl20_1
| spl20_5 ),
inference(sat_conversion,[],[f323]) ).
cnf(s5,plain,
( ~ spl20_1
| spl20_6 ),
inference(sat_conversion,[],[f327]) ).
cnf(s8,plain,
( ~ spl20_2
| ~ spl20_5
| ~ spl20_8
| ~ spl20_13
| spl20_14 ),
inference(sat_conversion,[],[f404]) ).
cnf(s10,plain,
( ~ spl20_4
| spl20_13 ),
inference(sat_conversion,[],[f437]) ).
cnf(s14,plain,
spl20_8,
inference(sat_conversion,[],[f539]) ).
cnf(s15,plain,
spl20_10,
inference(sat_conversion,[],[f541]) ).
cnf(s16,plain,
( ~ spl20_3
| ~ spl20_5
| ~ spl20_10
| ~ spl20_15
| spl20_25 ),
inference(sat_conversion,[],[f564]) ).
cnf(s23,plain,
( ~ spl20_4
| spl20_15 ),
inference(sat_conversion,[],[f632]) ).
cnf(s26,plain,
( ~ spl20_8
| ~ spl20_23
| spl20_31 ),
inference(sat_conversion,[],[f753]) ).
cnf(s27,plain,
spl20_23,
inference(sat_conversion,[],[f759]) ).
cnf(s43,plain,
spl20_22,
inference(sat_conversion,[],[f1552]) ).
cnf(s94,plain,
spl20_36,
inference(sat_conversion,[],[f7831]) ).
cnf(s95,plain,
spl20_73,
inference(sat_conversion,[],[f7842]) ).
cnf(s116,plain,
~ spl20_112,
inference(sat_conversion,[],[f8175]) ).
cnf(s120,plain,
( ~ spl20_6
| ~ spl20_8
| ~ spl20_10
| ~ spl20_73
| ~ spl20_115
| ~ spl20_116
| ~ spl20_117 ),
inference(sat_conversion,[],[f8310]) ).
cnf(s122,plain,
( ~ spl20_93
| spl20_115
| spl20_120 ),
inference(sat_conversion,[],[f8335]) ).
cnf(s131,plain,
( ~ spl20_73
| spl20_103
| spl20_112
| ~ spl20_115
| spl20_116 ),
inference(sat_conversion,[],[f8430]) ).
cnf(s136,plain,
( ~ spl20_1
| ~ spl20_22
| spl20_93 ),
inference(sat_conversion,[],[f8499]) ).
cnf(s194,plain,
~ spl20_88,
inference(sat_conversion,[],[f9244]) ).
cnf(s205,plain,
( spl20_107
| ~ spl20_120
| spl20_154 ),
inference(sat_conversion,[],[f9381]) ).
cnf(s210,plain,
( ~ spl20_10
| ~ spl20_23
| ~ spl20_36
| ~ spl20_73
| spl20_115
| ~ spl20_154 ),
inference(sat_conversion,[],[f9421]) ).
cnf(s216,plain,
( spl20_103
| ~ spl20_107
| spl20_187 ),
inference(sat_conversion,[],[f9458]) ).
cnf(s244,plain,
( ~ spl20_8
| ~ spl20_31
| ~ spl20_89 ),
inference(sat_conversion,[],[f9820]) ).
cnf(s267,plain,
( spl20_19
| ~ spl20_187 ),
inference(sat_conversion,[],[f10370]) ).
cnf(s279,plain,
( ~ spl20_10
| ~ spl20_23
| ~ spl20_103 ),
inference(sat_conversion,[],[f10930]) ).
cnf(s282,plain,
( ~ spl20_36
| spl20_88
| spl20_89
| ~ spl20_115
| spl20_117 ),
inference(sat_conversion,[],[f10953]) ).
cnf(s299,plain,
( spl20_1
| ~ spl20_22
| ~ spl20_93 ),
inference(sat_conversion,[],[f11044]) ).
cnf(s302,plain,
( spl20_93
| ~ spl20_115 ),
inference(sat_conversion,[],[f11056]) ).
cnf(s312,plain,
( ~ spl20_8
| ~ spl20_10
| ~ spl20_13
| ~ spl20_14
| ~ spl20_15
| ~ spl20_25
| ~ spl20_36
| ~ spl20_73
| spl20_115 ),
inference(sat_conversion,[],[f11313]) ).
cnf(s327,plain,
( ~ spl20_6
| ~ spl20_8
| ~ spl20_19
| ~ spl20_31
| ~ spl20_107 ),
inference(sat_conversion,[],[f11384]) ).
cnf(s373,plain,
( ~ spl20_8
| spl20_31 ),
inference(rat,[],[s26,s27]) ).
cnf(s374,plain,
~ spl20_103,
inference(rat,[],[s279,s27,s15]) ).
cnf(s375,plain,
spl20_31,
inference(rat,[],[s373,s14]) ).
cnf(s376,plain,
~ spl20_89,
inference(rat,[],[s244,s14,s375]) ).
cnf(s378,plain,
( ~ spl20_2
| ~ spl20_5
| ~ spl20_13
| spl20_14 ),
inference(rat,[],[s8,s14]) ).
cnf(s381,plain,
spl20_1,
inference(rat,[],[s312,s378,s16,s10,s23,s302,s1,s2,s3,s4,s299,s15,s14,s94,s95,s43]) ).
cnf(s384,plain,
spl20_93,
inference(rat,[],[s136,s43,s381]) ).
cnf(s386,plain,
spl20_6,
inference(rat,[],[s5,s381]) ).
cnf(s401,plain,
~ spl20_115,
inference(rat,[],[s120,s282,s131,s15,s95,s14,s386,s194,s94,s376,s116,s374]) ).
cnf(s402,plain,
~ spl20_154,
inference(rat,[],[s210,s15,s27,s95,s94,s401]) ).
cnf(s403,plain,
spl20_120,
inference(rat,[],[s122,s384,s401]) ).
cnf(s406,plain,
spl20_107,
inference(rat,[],[s205,s402,s403]) ).
cnf(s411,plain,
spl20_187,
inference(rat,[],[s216,s374,s406]) ).
cnf(s416,plain,
~ spl20_19,
inference(rat,[],[s327,s386,s375,s14,s406]) ).
cnf(s421,plain,
$false,
inference(rat,[],[s267,s411,s416]) ).
fof(f11410,plain,
$false,
inference(avatar_sat_refutation,[],[s421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU409+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 05:13:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 11.17/2.49 % (3012072)Detected formulas, will run a generic FOF schedule.
% 11.17/2.49 % (3012275)dis-21_1_sil=8000:lcm=predicate:random_seed=1072892656:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.17/2.49 % (3012273)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=556301497:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.17/2.49 % (3012272)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3298683533:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.17/2.49 % (3012267)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=835326905:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.17/2.49 % (3012265)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=1249748281:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.17/2.49 % (3012269)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=3132606702:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.17/2.49 % (3012270)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=887874793:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.17/2.49 % (3012275)Instruction limit reached!
% 11.17/2.49 % (3012275)------------------------------
% 11.17/2.49 % (3012275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (3012275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (3012275)CaDiCaL version: 2.1.3
% 11.17/2.49 % (3012275)Termination reason: Instruction limit
% 11.17/2.49 % (3012275)Termination phase: Saturation
% 11.17/2.49 % (3012275)Time elapsed: 0.040 s
% 11.17/2.49 % (3012275)Peak memory usage: 89 MB
% 11.17/2.49 % (3012275)Instructions burned: 133 (million)
% 11.17/2.49 % (3012270)Refutation not found, incomplete strategy
% 11.17/2.49 % (3012270)------------------------------
% 11.17/2.49 % (3012270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (3012270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (3012270)CaDiCaL version: 2.1.3
% 11.17/2.49 % (3012270)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.49 % (3012270)Time elapsed: 0.008 s
% 11.17/2.49 % (3012270)Peak memory usage: 89 MB
% 11.17/2.49 % (3012270)Instructions burned: 8 (million)
% 11.17/2.49 % (3012272)Instruction limit reached!
% 11.17/2.49 % (3012272)------------------------------
% 11.17/2.49 % (3012272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (3012272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (3012272)CaDiCaL version: 2.1.3
% 11.17/2.49 % (3012272)Termination reason: Instruction limit
% 11.17/2.49 % (3012272)Termination phase: Saturation
% 11.17/2.49 % (3012272)Time elapsed: 0.066 s
% 11.17/2.49 % (3012272)Peak memory usage: 88 MB
% 11.17/2.49 % (3012272)Instructions burned: 121 (million)
% 11.17/2.49 % (3012273)Instruction limit reached!
% 11.17/2.49 % (3012273)------------------------------
% 11.17/2.49 % (3012273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (3012273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (3012273)CaDiCaL version: 2.1.3
% 11.17/2.49 % (3012273)Termination reason: Instruction limit
% 11.17/2.49 % (3012273)Termination phase: Saturation
% 11.17/2.49 % (3012273)Time elapsed: 0.097 s
% 11.17/2.49 % (3012273)Peak memory usage: 90 MB
% 11.17/2.49 % (3012273)Instructions burned: 139 (million)
% 11.17/2.49 % (3012345)lrs+10_1_sil=8000:sp=occurrence:random_seed=3917795185:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.17/2.49 % (3012373)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2970971311:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.17/2.49 % (3012345)Instruction limit reached!
% 11.17/2.49 % (3012345)------------------------------
% 11.17/2.49 % (3012345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (3012345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (3012345)CaDiCaL version: 2.1.3
% 11.17/2.49 % (3012345)Termination reason: Instruction limit
% 11.17/2.49 % (3012345)Termination phase: Saturation
% 17.56/3.36 % (3012345)Time elapsed: 0.095 s
% 17.56/3.36 % (3012345)Peak memory usage: 92 MB
% 17.56/3.36 % (3012345)Instructions burned: 288 (million)
% 17.56/3.36 % (3012388)lrs+1011_1_sil=32000:sp=occurrence:random_seed=152756567:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.56/3.36 % (3012270)------------------------------
% 17.56/3.36 % (3012270)------------------------------
% 17.56/3.36 % (3012373)Instruction limit reached!
% 17.56/3.36 % (3012373)------------------------------
% 17.56/3.36 % (3012373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012373)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012373)Termination reason: Instruction limit
% 17.56/3.36 % (3012373)Termination phase: Saturation
% 17.56/3.36 % (3012373)Time elapsed: 0.088 s
% 17.56/3.36 % (3012373)Peak memory usage: 90 MB
% 17.56/3.36 % (3012373)Instructions burned: 157 (million)
% 17.56/3.36 % (3012440)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=1507702062:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 17.56/3.36 % (3012440)Instruction limit reached!
% 17.56/3.36 % (3012440)------------------------------
% 17.56/3.36 % (3012440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012440)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012440)Termination reason: Instruction limit
% 17.56/3.36 % (3012440)Termination phase: Saturation
% 17.56/3.36 % (3012440)Time elapsed: 0.076 s
% 17.56/3.36 % (3012440)Peak memory usage: 91 MB
% 17.56/3.36 % (3012440)Instructions burned: 251 (million)
% 17.56/3.36 % (3012459)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2436240299:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.56/3.36 % (3012459)Refutation not found, incomplete strategy
% 17.56/3.36 % (3012459)------------------------------
% 17.56/3.36 % (3012459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012459)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012459)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.36 % (3012459)Time elapsed: 0.015 s
% 17.56/3.36 % (3012459)Peak memory usage: 89 MB
% 17.56/3.36 % (3012459)Instructions burned: 22 (million)
% 17.56/3.36 % (3012479)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=184313379:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.56/3.36 % (3012388)Instruction limit reached!
% 17.56/3.36 % (3012388)------------------------------
% 17.56/3.36 % (3012388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012388)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012388)Termination reason: Instruction limit
% 17.56/3.36 % (3012388)Termination phase: Saturation
% 17.56/3.36 % (3012388)Time elapsed: 0.219 s
% 17.56/3.36 % (3012388)Peak memory usage: 92 MB
% 17.56/3.36 % (3012388)Instructions burned: 325 (million)
% 17.56/3.36 % (3012522)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2416369654:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.56/3.36 % (3012522)Instruction limit reached!
% 17.56/3.36 % (3012522)------------------------------
% 17.56/3.36 % (3012522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012522)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012522)Termination reason: Instruction limit
% 17.56/3.36 % (3012522)Termination phase: Saturation
% 17.56/3.36 % (3012522)Time elapsed: 0.042 s
% 17.56/3.36 % (3012522)Peak memory usage: 90 MB
% 17.56/3.36 % (3012522)Instructions burned: 115 (million)
% 17.56/3.36 % (3012554)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=171330085:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.56/3.36 % (3012596)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2857498098:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.56/3.36 % (3012459)------------------------------
% 17.56/3.36 % (3012459)------------------------------
% 17.56/3.36 % (3012554)Instruction limit reached!
% 17.56/3.36 % (3012554)------------------------------
% 17.56/3.36 % (3012554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012554)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012554)Termination reason: Instruction limit
% 17.56/3.36 % (3012554)Termination phase: Saturation
% 17.56/3.36 % (3012554)Time elapsed: 0.067 s
% 17.56/3.36 % (3012554)Peak memory usage: 89 MB
% 17.56/3.36 % (3012554)Instructions burned: 127 (million)
% 17.56/3.36 % (3012596)Instruction limit reached!
% 17.56/3.36 % (3012596)------------------------------
% 17.56/3.36 % (3012596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012596)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012596)Termination reason: Instruction limit
% 17.56/3.36 % (3012596)Termination phase: Saturation
% 17.56/3.36 % (3012596)Time elapsed: 0.038 s
% 17.56/3.36 % (3012596)Peak memory usage: 89 MB
% 17.56/3.36 % (3012596)Instructions burned: 117 (million)
% 17.56/3.36 % (3012678)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1817923944:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 17.56/3.36 % (3012664)lrs+10_1_sil=8000:sp=occurrence:random_seed=2487410828:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 17.56/3.36 % (3012668)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2028707383:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 17.56/3.36 % (3012668)Refutation not found, incomplete strategy
% 17.56/3.36 % (3012668)------------------------------
% 17.56/3.36 % (3012668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012668)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012668)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.36 % (3012668)Time elapsed: 0.008 s
% 17.56/3.36 % (3012668)Peak memory usage: 89 MB
% 17.56/3.36 % (3012668)Instructions burned: 12 (million)
% 17.56/3.36 % (3012668)------------------------------
% 17.56/3.36 % (3012668)------------------------------
% 17.56/3.36 % (3012868)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1768869172:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 17.56/3.36 % (3012868)Instruction limit reached!
% 17.56/3.36 % (3012868)------------------------------
% 17.56/3.36 % (3012868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012868)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012868)Termination reason: Instruction limit
% 17.56/3.36 % (3012868)Termination phase: Saturation
% 17.56/3.36 % (3012868)Time elapsed: 0.076 s
% 17.56/3.36 % (3012868)Peak memory usage: 91 MB
% 17.56/3.36 % (3012868)Instructions burned: 135 (million)
% 17.56/3.36 % (3012664)Instruction limit reached!
% 17.56/3.36 % (3012664)------------------------------
% 17.56/3.36 % (3012664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012664)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012664)Termination reason: Instruction limit
% 17.56/3.36 % (3012664)Termination phase: Saturation
% 17.56/3.36 % (3012664)Time elapsed: 0.521 s
% 17.56/3.36 % (3012664)Peak memory usage: 97 MB
% 17.56/3.36 % (3012664)Instructions burned: 907 (million)
% 17.56/3.36 % (3012985)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=176328958:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 17.56/3.36 % (3012985)Refutation not found, incomplete strategy
% 17.56/3.36 % (3012985)------------------------------
% 17.56/3.36 % (3012985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012985)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012985)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.36 % (3012985)Time elapsed: 0.011 s
% 17.56/3.36 % (3012985)Peak memory usage: 89 MB
% 17.56/3.36 % (3012985)Instructions burned: 17 (million)
% 17.56/3.36 % (3013011)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2114549334:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 17.56/3.36 % (3012985)------------------------------
% 17.56/3.36 % (3012985)------------------------------
% 17.56/3.36 % (3013192)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1826157027:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 17.56/3.36 % (3013192)Instruction limit reached!
% 17.56/3.36 % (3013192)------------------------------
% 17.56/3.36 % (3013192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3013192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3013192)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3013192)Termination reason: Instruction limit
% 17.56/3.36 % (3013192)Termination phase: Saturation
% 17.56/3.36 % (3013192)Time elapsed: 0.081 s
% 17.56/3.36 % (3013192)Peak memory usage: 91 MB
% 17.56/3.36 % (3013192)Instructions burned: 126 (million)
% 17.56/3.36 % (3012479)Instruction limit reached!
% 17.56/3.36 % (3012479)------------------------------
% 17.56/3.36 % (3012479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3012479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3012479)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3012479)Termination reason: Instruction limit
% 17.56/3.36 % (3012479)Termination phase: Saturation
% 17.56/3.36 % (3012479)Time elapsed: 1.520 s
% 17.56/3.36 % (3012479)Peak memory usage: 141 MB
% 17.56/3.36 % (3012479)Instructions burned: 2351 (million)
% 17.56/3.36 % (3013311)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=645015597:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 17.56/3.36 % (3013349)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1280508780:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 17.56/3.36 % (3013349)Refutation not found, incomplete strategy
% 17.56/3.36 % (3013349)------------------------------
% 17.56/3.36 % (3013349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3013349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3013349)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3013349)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.36 % (3013349)Time elapsed: 0.006 s
% 17.56/3.36 % (3013349)Peak memory usage: 88 MB
% 17.56/3.36 % (3013349)Instructions burned: 8 (million)
% 17.56/3.36 % (3013311)Instruction limit reached!
% 17.56/3.36 % (3013311)------------------------------
% 17.56/3.36 % (3013311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.56/3.36 % (3013311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.36 % (3013311)CaDiCaL version: 2.1.3
% 17.56/3.36 % (3013311)Termination reason: Instruction limit
% 17.56/3.36 % (3013311)Termination phase: Saturation
% 17.56/3.36 % (3013311)Time elapsed: 0.092 s
% 17.56/3.36 % (3013311)Peak memory usage: 90 MB
% 17.56/3.36 % (3013311)Instructions burned: 135 (million)
% 17.56/3.36 % (3012678)First to succeed.
% 17.56/3.36 % (3012678)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3012072"
% 17.56/3.36 % (3013437)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3635327317:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 17.56/3.36 % (3012678)Refutation found. Thanks to Tanya!
% 17.56/3.36 % SZS status Theorem for theBenchmark
% 17.56/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 18.29/3.55 % (3012678)------------------------------
% 18.29/3.55 % (3012678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/3.55 % (3012678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.55 % (3012678)CaDiCaL version: 2.1.3
% 18.29/3.55 % (3012678)Termination reason: Refutation
% 18.29/3.55 % (3012678)Time elapsed: 1.369 s
% 18.29/3.55 % (3012678)Peak memory usage: 154 MB
% 18.29/3.55 % (3012678)Instructions burned: 3966 (million)
% 18.29/3.55 % (3012678)------------------------------
% 18.29/3.55 % (3012678)------------------------------
% 18.29/3.55 % (3012072)Success in time 2.512 s
% 18.29/3.55 % Vampire exiting
%------------------------------------------------------------------------------