%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU410+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:47 PM UTC 2026
% Result : Theorem 4.55s 1.80s
% Output : Refutation 7.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 47
% Syntax : Number of formulae : 587 ( 87 unt; 27 def)
% Number of atoms : 3626 ( 137 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 5601 (2562 ~;2726 |; 219 &)
% ( 34 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 21 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-4 aty)
% Number of variables : 666 ( 0 sgn 648 !; 18 ?)
% 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(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5 )
=> k13_lattice3(X0,X2,X3) = k13_lattice3(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsum_1) ).
fof(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(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5 )
=> k13_lattice3(X0,X2,X3) = k13_lattice3(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k13_lattice3) ).
fof(f7,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f8,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_lattice3) ).
fof(f17,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f30,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k13_lattice3(X0,X1,X2) = k10_lattice3(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k13_lattice3) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_orders_2(X0,X1,X2)
<=> r1_orders_2(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> r3_orders_2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_orders_2) ).
fof(f47,axiom,
! [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] :
( r2_hidden(X2,u1_struct_0(X0))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_latsum_1) ).
fof(f48,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/sandbox/benchmark/theBenchmark.p',t13_latsum_1) ).
fof(f49,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X2 = X4
& X3 = X5
& r1_latsum_1(X0,X1)
& v3_orders_2(X0)
& v3_orders_2(X1) )
=> ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_latsum_1) ).
fof(f50,axiom,
! [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] :
( ( v1_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k13_lattice3(X0,X2,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_latsum_1) ).
fof(f51,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [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)))
=> ( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& r2_hidden(X2,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsum_1) ).
fof(f52,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f53,axiom,
! [X0] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4) )
=> r1_orders_2(X0,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_yellow_0) ).
fof(f55,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',t8_latsum_1) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_lattice3(X0,X2,X3) != k13_lattice3(X1,X4,X5)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k13_lattice3(X0,X2,X3) != k13_lattice3(X1,X4,X5)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& r1_latsum_1(X0,X1)
& X2 = X4
& X3 = X5
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f68]) ).
fof(f73,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f73]) ).
fof(f78,plain,
! [X0,X1,X2] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f79,plain,
! [X0,X1,X2] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f87,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f88,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f99,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k10_lattice3(X0,X1,X2)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f100,plain,
! [X0,X1,X2] :
( k13_lattice3(X0,X1,X2) = k10_lattice3(X0,X1,X2)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( r3_orders_2(X0,X1,X2)
<=> r1_orders_2(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( r3_orders_2(X0,X1,X2)
<=> r1_orders_2(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( r3_orders_2(X0,X1,X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f104,plain,
! [X0,X1,X2] :
( r3_orders_2(X0,X1,X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,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,[],[f48]) ).
fof(f108,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,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( r1_orders_2(X0,X2,X3)
<=> r1_orders_2(X1,X4,X5) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,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))) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r2_hidden(X3,u1_struct_0(X1))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,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))) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k13_lattice3(X0,X1,X2)
<=> ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f119,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f122,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f121]) ).
fof(f127,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,[],[f62]) ).
fof(f128,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,[],[f127]) ).
fof(f131,plain,
( k13_lattice3(sK0,sK2,sK3) != k13_lattice3(sK1,sK4,sK5)
& v1_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK0)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
& r1_latsum_1(sK0,sK1)
& sK2 = sK4
& sK3 = sK5
& m1_subset_1(sK5,u1_struct_0(sK1))
& m1_subset_1(sK4,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& v2_orders_2(sK0)
& v3_orders_2(sK0)
& v4_orders_2(sK0)
& v1_lattice3(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f69]) ).
fof(f132,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,[],[f8]) ).
fof(f133,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,[],[f132]) ).
fof(f134,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,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK6(X0,X1,X2),X0)
| ~ r2_hidden(sK6(X0,X1,X2),X1)
| ~ r2_hidden(sK6(X0,X1,X2),X2) )
& ( ( r2_hidden(sK6(X0,X1,X2),X0)
& r2_hidden(sK6(X0,X1,X2),X1) )
| r2_hidden(sK6(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,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f134]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( ( r3_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X2) )
& ( r1_orders_2(X0,X1,X2)
| ~ r3_orders_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(nnf_transformation,[],[f102]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(X1,X4,X5) )
& ( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X2,X3) ) )
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1)) )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X4] :
( r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X1,X4)
| ~ r1_orders_2(X0,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ? [X4] :
( ~ r1_orders_2(X0,X3,X4)
& r1_orders_2(X0,X1,X4)
& r1_orders_2(X0,X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k13_lattice3(X0,X1,X2)
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| ( ~ r1_orders_2(X0,X3,sK19(X0,X1,X2,X3))
& r1_orders_2(X0,X1,sK19(X0,X1,X2,X3))
& r1_orders_2(X0,X2,sK19(X0,X1,X2,X3))
& m1_subset_1(sK19(X0,X1,X2,X3),u1_struct_0(X0)) ) )
& ( ( r1_orders_2(X0,X1,X3)
& r1_orders_2(X0,X2,X3)
& ! [X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| k13_lattice3(X0,X1,X2) != X3 ) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X4,sK19(X0,X1,X2,X3))],[f153]) ).
fof(f155,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,[],[f128]) ).
fof(f156,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f157,plain,
v1_lattice3(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f158,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f159,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f160,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f161,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f162,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f163,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f164,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f165,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f166,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f167,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f168,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f131]) ).
fof(f169,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f131]) ).
fof(f170,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f131]) ).
fof(f171,plain,
m1_subset_1(sK5,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f131]) ).
fof(f172,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f131]) ).
fof(f173,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f131]) ).
fof(f174,plain,
r1_latsum_1(sK0,sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f175,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f131]) ).
fof(f176,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f177,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f131]) ).
fof(f178,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f179,plain,
v1_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f131]) ).
fof(f180,plain,
k13_lattice3(sK0,sK2,sK3) != k13_lattice3(sK1,sK4,sK5),
inference(cnf_transformation,[],[f131]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f184,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f187,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,[],[f135]) ).
fof(f194,plain,
! [X2,X0,X1] :
( m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f197,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f207,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k13_lattice3(X0,X1,X2) = k10_lattice3(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ r3_orders_2(X0,X1,X2)
| r1_orders_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_orders_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f238,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f239,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,[],[f108]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X2,X3)
| ~ r1_orders_2(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
| r2_hidden(X3,u1_struct_0(X1))
| ~ r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r2_hidden(X2,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)))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f244,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f245,plain,
! [X2,X3,X0,X1,X5] :
( r1_orders_2(X0,X3,X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,X2,X3)
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,X1,X3)
| k13_lattice3(X0,X1,X2) != X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(X0,X2,sK19(X0,X1,X2,X3))
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| k13_lattice3(X0,X1,X2) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X3,sK19(X0,X1,X2,X3))
| ~ r1_orders_2(X0,X1,X3)
| ~ r1_orders_2(X0,X2,X3)
| k13_lattice3(X0,X1,X2) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f253,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f260,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,[],[f155]) ).
fof(f263,plain,
k13_lattice3(sK1,sK4,sK5) != k13_lattice3(sK0,sK4,sK5),
inference(definition_unfolding,[],[f180,f173,f172]) ).
fof(f264,plain,
m1_subset_1(sK5,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f169,f172]) ).
fof(f265,plain,
m1_subset_1(sK4,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f168,f173]) ).
fof(f266,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k3_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f269,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X0,X4,X3)
| ~ r1_orders_2(X1,X4,X5)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f241]) ).
fof(f270,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(X1,X4,X5)
| r1_orders_2(X0,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f269]) ).
fof(f271,plain,
! [X3,X0,X1,X4,X5] :
( r1_orders_2(X1,X4,X5)
| ~ r1_orders_2(X0,X4,X3)
| X3 != X5
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f240]) ).
fof(f272,plain,
! [X0,X1,X4,X5] :
( ~ r1_orders_2(X0,X4,X5)
| r1_orders_2(X1,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f271]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| r1_orders_2(X0,X1,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f247]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| r1_orders_2(X0,X2,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f246]) ).
fof(f275,plain,
! [X2,X0,X1,X5] :
( ~ m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| r1_orders_2(X0,k13_lattice3(X0,X1,X2),X5)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f245]) ).
fof(f278,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,[],[f260]) ).
fof(f279,plain,
! [X0,X1,X4,X5] :
( ~ m1_subset_1(X5,u1_struct_0(k1_latsum_1(X0,X1)))
| ~ r1_orders_2(X0,X4,X5)
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X1),X4,X5)
| ~ 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,[],[f278]) ).
fof(f280,definition,
sF20 = k13_lattice3(sK1,sK4,sK5),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f281,plain,
k13_lattice3(sK1,sK4,sK5) = sF20,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF21 = k13_lattice3(sK0,sK4,sK5),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f283,plain,
k13_lattice3(sK0,sK4,sK5) = sF21,
inference(reorient_equations,[],[f282]) ).
fof(f284,plain,
sF20 != sF21,
inference(definition_folding,[],[f263,f283,f281]) ).
fof(f285,definition,
sF22 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f286,plain,
u1_struct_0(sK0) = sF22,
inference(reorient_equations,[],[f285]) ).
fof(f287,definition,
sF23 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f288,plain,
u1_struct_0(sK1) = sF23,
inference(reorient_equations,[],[f287]) ).
fof(f289,definition,
sF24 = k3_xboole_0(sF22,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f290,plain,
k3_xboole_0(sF22,sF23) = sF24,
inference(reorient_equations,[],[f289]) ).
fof(f291,plain,
v1_waybel_0(sF24,sK1),
inference(definition_folding,[],[f179,f290,f288,f286]) ).
fof(f292,plain,
v12_waybel_0(sF24,sK1),
inference(definition_folding,[],[f178,f290,f288,f286]) ).
fof(f293,definition,
sF25 = k1_zfmisc_1(sF23),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f294,plain,
k1_zfmisc_1(sF23) = sF25,
inference(reorient_equations,[],[f293]) ).
fof(f295,plain,
m1_subset_1(sF24,sF25),
inference(definition_folding,[],[f177,f294,f288,f290,f288,f286]) ).
fof(f296,plain,
v13_waybel_0(sF24,sK0),
inference(definition_folding,[],[f176,f290,f288,f286]) ).
fof(f297,definition,
sF26 = k1_zfmisc_1(sF22),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f298,plain,
k1_zfmisc_1(sF22) = sF26,
inference(reorient_equations,[],[f297]) ).
fof(f299,plain,
m1_subset_1(sF24,sF26),
inference(definition_folding,[],[f175,f298,f286,f290,f288,f286]) ).
fof(f300,plain,
m1_subset_1(sK5,sF23),
inference(definition_folding,[],[f171,f288]) ).
fof(f301,plain,
m1_subset_1(sK4,sF23),
inference(definition_folding,[],[f170,f288]) ).
fof(f302,plain,
m1_subset_1(sK5,sF22),
inference(definition_folding,[],[f264,f286]) ).
fof(f303,plain,
m1_subset_1(sK4,sF22),
inference(definition_folding,[],[f265,f286]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f242,f255]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k13_lattice3(X0,X2,X3),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X3,X1)
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f304,f255]) ).
fof(f307,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f305,f281]) ).
fof(f308,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f307,f167]) ).
fof(f310,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f308,f166]) ).
fof(f312,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f310,f165]) ).
fof(f314,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f312,f164]) ).
fof(f316,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f314,f163]) ).
fof(f318,plain,
! [X0] :
( r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f316,f162]) ).
fof(f320,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF23))
| r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ r2_hidden(sK5,X0)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1) ),
inference(forward_demodulation,[],[f318,f288]) ).
fof(f322,plain,
! [X0] :
( ~ r2_hidden(sK5,X0)
| r2_hidden(sF20,X0)
| ~ r2_hidden(sK4,X0)
| ~ m1_subset_1(X0,sF25)
| ~ v1_waybel_0(X0,sK1)
| ~ v12_waybel_0(X0,sK1) ),
inference(forward_demodulation,[],[f320,f294]) ).
fof(f324,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k13_lattice3(sK0,X0,X1) ),
inference(superposition,[],[f183,f286]) ).
fof(f325,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(X1,sF23)
| k13_lattice3(sK1,X1,X0) = k13_lattice3(sK1,X0,X1) ),
inference(superposition,[],[f183,f288]) ).
fof(f326,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(X1,sF23)
| k13_lattice3(sK1,X1,X0) = k13_lattice3(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f325,f164]) ).
fof(f327,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k13_lattice3(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f324,f158]) ).
fof(f328,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(X1,sF23)
| k13_lattice3(sK1,X1,X0) = k13_lattice3(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f326,f163]) ).
fof(f329,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k13_lattice3(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f327,f157]) ).
fof(f330,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF23)
| ~ m1_subset_1(X0,sF23)
| k13_lattice3(sK1,X1,X0) = k13_lattice3(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f328,f162]) ).
fof(f331,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,X1,X0) = k13_lattice3(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f329,f156]) ).
fof(f338,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f274,f283]) ).
fof(f339,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f274,f281]) ).
fof(f344,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f339,f164]) ).
fof(f345,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f338,f158]) ).
fof(f348,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f344,f163]) ).
fof(f349,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f345,f157]) ).
fof(f352,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f348,f162]) ).
fof(f353,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f349,f156]) ).
fof(f354,plain,
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f352,f288]) ).
fof(f355,plain,
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f353,f286]) ).
fof(f356,plain,
( ~ m1_subset_1(sK5,sF23)
| ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f354,f288]) ).
fof(f357,plain,
( ~ m1_subset_1(sK5,sF22)
| ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f355,f286]) ).
fof(f358,plain,
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK5,sF20)
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f356,f300]) ).
fof(f359,plain,
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK5,sF21)
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f357,f302]) ).
fof(f360,plain,
( ~ m1_subset_1(sK4,sF23)
| ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK5,sF20) ),
inference(forward_demodulation,[],[f358,f288]) ).
fof(f361,plain,
( ~ m1_subset_1(sK4,sF22)
| ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK5,sF21) ),
inference(forward_demodulation,[],[f359,f286]) ).
fof(f362,plain,
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK5,sF20) ),
inference(forward_subsumption_resolution,[],[f360,f301]) ).
fof(f363,plain,
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK5,sF21) ),
inference(forward_subsumption_resolution,[],[f361,f303]) ).
fof(f365,definition,
( spl27_1
<=> r1_orders_2(sK1,sK5,sF20) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f367,plain,
( r1_orders_2(sK1,sK5,sF20)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl27_2
<=> m1_subset_1(sF20,sF23) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f370,plain,
( m1_subset_1(sF20,sF23)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( ~ m1_subset_1(sF20,sF23)
| spl27_2 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f362,f369,f365]) ).
fof(f374,definition,
( spl27_3
<=> r1_orders_2(sK0,sK5,sF21) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f376,plain,
( r1_orders_2(sK0,sK5,sF21)
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,definition,
( spl27_4
<=> m1_subset_1(sF21,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f379,plain,
( m1_subset_1(sF21,sF22)
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( ~ m1_subset_1(sF21,sF22)
| spl27_4 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f381,plain,
( spl27_3
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f363,f378,f374]) ).
fof(f382,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f273,f283]) ).
fof(f383,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f273,f281]) ).
fof(f388,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f383,f164]) ).
fof(f389,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f382,f158]) ).
fof(f392,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f388,f163]) ).
fof(f393,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f389,f157]) ).
fof(f396,plain,
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f392,f162]) ).
fof(f397,plain,
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f393,f156]) ).
fof(f398,plain,
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f396,f288]) ).
fof(f399,plain,
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f397,f286]) ).
fof(f401,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,sK5,X0) = k13_lattice3(sK0,X0,sK5) ),
inference(resolution,[],[f331,f302]) ).
fof(f402,plain,
k13_lattice3(sK0,sK4,sK5) = k13_lattice3(sK0,sK5,sK4),
inference(resolution,[],[f401,f303]) ).
fof(f404,plain,
sF21 = k13_lattice3(sK0,sK5,sK4),
inference(forward_demodulation,[],[f402,f283]) ).
fof(f428,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k13_lattice3(sK1,sK5,X0) = k13_lattice3(sK1,X0,sK5) ),
inference(resolution,[],[f330,f300]) ).
fof(f429,plain,
k13_lattice3(sK1,sK4,sK5) = k13_lattice3(sK1,sK5,sK4),
inference(resolution,[],[f428,f301]) ).
fof(f431,plain,
sF20 = k13_lattice3(sK1,sK5,sK4),
inference(forward_demodulation,[],[f429,f281]) ).
fof(f458,plain,
! [X0] :
( ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| r2_hidden(X0,sF24) ),
inference(superposition,[],[f266,f290]) ).
fof(f460,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k10_lattice3(sK0,X1,X0) ),
inference(superposition,[],[f231,f286]) ).
fof(f463,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k10_lattice3(sK0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f460,f158]) ).
fof(f465,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| k13_lattice3(sK0,X1,X0) = k10_lattice3(sK0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f463,f157]) ).
fof(f467,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,X1,X0) = k10_lattice3(sK0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f465,f156]) ).
fof(f532,plain,
( m1_subset_1(sF21,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(superposition,[],[f194,f283]) ).
fof(f533,plain,
( m1_subset_1(sF20,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(superposition,[],[f194,f281]) ).
fof(f546,plain,
( m1_subset_1(sF20,u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f533,f164]) ).
fof(f547,plain,
( m1_subset_1(sF21,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f532,f158]) ).
fof(f552,plain,
( m1_subset_1(sF20,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f546,f163]) ).
fof(f553,plain,
( m1_subset_1(sF21,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f547,f157]) ).
fof(f558,plain,
( m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f552,f162]) ).
fof(f559,plain,
( m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f553,f156]) ).
fof(f562,plain,
( m1_subset_1(sF20,sF23)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f558,f288]) ).
fof(f563,plain,
( m1_subset_1(sF21,sF22)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f559,f286]) ).
fof(f566,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f562,f371]) ).
fof(f567,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f563,f380]) ).
fof(f570,plain,
( ~ m1_subset_1(sK4,sF23)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| spl27_2 ),
inference(forward_demodulation,[],[f566,f288]) ).
fof(f571,plain,
( ~ m1_subset_1(sK4,sF22)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| spl27_4 ),
inference(forward_demodulation,[],[f567,f286]) ).
fof(f574,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK1))
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f570,f301]) ).
fof(f575,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f571,f303]) ).
fof(f578,plain,
( ~ m1_subset_1(sK5,sF23)
| spl27_2 ),
inference(forward_demodulation,[],[f574,f288]) ).
fof(f579,plain,
( ~ m1_subset_1(sK5,sF22)
| spl27_4 ),
inference(forward_demodulation,[],[f575,f286]) ).
fof(f584,plain,
( $false
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f578,f300]) ).
fof(f585,plain,
spl27_2,
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f586,plain,
( $false
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f579,f302]) ).
fof(f587,plain,
spl27_4,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f588,plain,
( r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f399,f379]) ).
fof(f590,plain,
( r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f398,f370]) ).
fof(f592,plain,
( ~ m1_subset_1(sK5,sF22)
| r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl27_4 ),
inference(forward_demodulation,[],[f588,f286]) ).
fof(f594,plain,
( ~ m1_subset_1(sK5,sF23)
| r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl27_2 ),
inference(forward_demodulation,[],[f590,f288]) ).
fof(f596,plain,
( r1_orders_2(sK0,sK4,sF21)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f592,f302]) ).
fof(f598,plain,
( r1_orders_2(sK1,sK4,sF20)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f594,f300]) ).
fof(f600,plain,
( ~ m1_subset_1(sK4,sF22)
| r1_orders_2(sK0,sK4,sF21)
| ~ spl27_4 ),
inference(forward_demodulation,[],[f596,f286]) ).
fof(f602,plain,
( ~ m1_subset_1(sK4,sF23)
| r1_orders_2(sK1,sK4,sF20)
| ~ spl27_2 ),
inference(forward_demodulation,[],[f598,f288]) ).
fof(f604,plain,
( r1_orders_2(sK0,sK4,sF21)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f600,f303]) ).
fof(f606,plain,
( r1_orders_2(sK1,sK4,sF20)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f602,f301]) ).
fof(f661,plain,
! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f275,f404]) ).
fof(f662,plain,
! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f275,f431]) ).
fof(f668,plain,
! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f662,f164]) ).
fof(f669,plain,
! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f661,f158]) ).
fof(f674,plain,
! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f668,f163]) ).
fof(f675,plain,
! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f669,f157]) ).
fof(f680,plain,
! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f674,f162]) ).
fof(f681,plain,
! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f675,f156]) ).
fof(f686,plain,
! [X0] :
( ~ m1_subset_1(sF20,sF23)
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f680,f288]) ).
fof(f687,plain,
! [X0] :
( ~ m1_subset_1(sF21,sF22)
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f681,f286]) ).
fof(f690,plain,
( ! [X0] :
( ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f686,f370]) ).
fof(f691,plain,
( ! [X0] :
( ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f687,f379]) ).
fof(f694,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF23)
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f690,f288]) ).
fof(f695,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) )
| ~ spl27_4 ),
inference(forward_demodulation,[],[f691,f286]) ).
fof(f698,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF23)
| ~ m1_subset_1(X0,sF23)
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f694,f288]) ).
fof(f699,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF22)
| ~ m1_subset_1(X0,sF22)
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) )
| ~ spl27_4 ),
inference(forward_demodulation,[],[f695,f286]) ).
fof(f702,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF23)
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| r1_orders_2(sK1,sF20,X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f698,f301]) ).
fof(f703,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| r1_orders_2(sK0,sF21,X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK0)) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f699,f303]) ).
fof(f706,plain,
( ! [X0] :
( ~ m1_subset_1(sK5,sF23)
| ~ m1_subset_1(X0,sF23)
| ~ r1_orders_2(sK1,sK5,X0)
| ~ r1_orders_2(sK1,sK4,X0)
| r1_orders_2(sK1,sF20,X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f702,f288]) ).
fof(f707,plain,
( ! [X0] :
( ~ m1_subset_1(sK5,sF22)
| ~ m1_subset_1(X0,sF22)
| ~ r1_orders_2(sK0,sK5,X0)
| ~ r1_orders_2(sK0,sK4,X0)
| r1_orders_2(sK0,sF21,X0) )
| ~ spl27_4 ),
inference(forward_demodulation,[],[f703,f286]) ).
fof(f710,plain,
( ! [X0] :
( ~ r1_orders_2(sK1,sK5,X0)
| ~ m1_subset_1(X0,sF23)
| ~ r1_orders_2(sK1,sK4,X0)
| r1_orders_2(sK1,sF20,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f706,f300]) ).
fof(f711,plain,
( ! [X0] :
( ~ r1_orders_2(sK0,sK5,X0)
| ~ m1_subset_1(X0,sF22)
| ~ r1_orders_2(sK0,sK4,X0)
| r1_orders_2(sK0,sF21,X0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f707,f302]) ).
fof(f725,plain,
( r2_hidden(sK4,sF22)
| v1_xboole_0(sF22) ),
inference(resolution,[],[f253,f303]) ).
fof(f726,plain,
( r2_hidden(sK5,sF22)
| v1_xboole_0(sF22) ),
inference(resolution,[],[f253,f302]) ).
fof(f727,plain,
( r2_hidden(sF21,sF22)
| v1_xboole_0(sF22)
| ~ spl27_4 ),
inference(resolution,[],[f253,f379]) ).
fof(f728,plain,
( r2_hidden(sK4,sF23)
| v1_xboole_0(sF23) ),
inference(resolution,[],[f253,f301]) ).
fof(f729,plain,
( r2_hidden(sK5,sF23)
| v1_xboole_0(sF23) ),
inference(resolution,[],[f253,f300]) ).
fof(f752,definition,
( spl27_9
<=> v1_xboole_0(sF23) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f754,plain,
( v1_xboole_0(sF23)
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f761,definition,
( spl27_11
<=> r2_hidden(sK5,sF23) ),
introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).
fof(f763,plain,
( r2_hidden(sK5,sF23)
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f764,plain,
( spl27_9
| spl27_11 ),
inference(avatar_split_clause,[],[f729,f761,f752]) ).
fof(f766,definition,
( spl27_12
<=> r2_hidden(sK4,sF23) ),
introduced(definition,[new_symbols(definition,[spl27_12])],[avatar_definition]) ).
fof(f768,plain,
( r2_hidden(sK4,sF23)
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f769,plain,
( spl27_9
| spl27_12 ),
inference(avatar_split_clause,[],[f728,f766,f752]) ).
fof(f771,definition,
( spl27_13
<=> v1_xboole_0(sF22) ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
fof(f773,plain,
( v1_xboole_0(sF22)
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f775,definition,
( spl27_14
<=> r2_hidden(sF21,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f777,plain,
( r2_hidden(sF21,sF22)
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f778,plain,
( spl27_13
| spl27_14
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f727,f378,f775,f771]) ).
fof(f780,definition,
( spl27_15
<=> r2_hidden(sK5,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).
fof(f782,plain,
( r2_hidden(sK5,sF22)
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,plain,
( spl27_13
| spl27_15 ),
inference(avatar_split_clause,[],[f726,f780,f771]) ).
fof(f785,definition,
( spl27_16
<=> r2_hidden(sK4,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_16])],[avatar_definition]) ).
fof(f787,plain,
( r2_hidden(sK4,sF22)
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
( spl27_13
| spl27_16 ),
inference(avatar_split_clause,[],[f725,f785,f771]) ).
fof(f800,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(resolution,[],[f270,f606]) ).
fof(f803,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1 ),
inference(resolution,[],[f270,f367]) ).
fof(f810,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f803,f165]) ).
fof(f813,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f800,f165]) ).
fof(f816,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f810,f167]) ).
fof(f819,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f813,f167]) ).
fof(f822,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f816,f162]) ).
fof(f825,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f819,f162]) ).
fof(f828,plain,
( ! [X0] :
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1 ),
inference(forward_demodulation,[],[f822,f288]) ).
fof(f831,plain,
( ! [X0] :
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f825,f288]) ).
fof(f834,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f828,f370]) ).
fof(f837,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f831,f370]) ).
fof(f838,plain,
( ! [X0] :
( ~ m1_subset_1(sK5,sF23)
| r1_orders_2(X0,sK5,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1
| ~ spl27_2 ),
inference(forward_demodulation,[],[f834,f288]) ).
fof(f841,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF23)
| r1_orders_2(X0,sK4,sF20)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_demodulation,[],[f837,f288]) ).
fof(f842,plain,
( ! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sK5,sF20)
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_1
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f838,f300]) ).
fof(f845,plain,
( ! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sK4,sF20)
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f841,f301]) ).
fof(f853,definition,
( spl27_17
<=> r1_orders_2(sK1,sK4,sF21) ),
introduced(definition,[new_symbols(definition,[spl27_17])],[avatar_definition]) ).
fof(f855,plain,
( r1_orders_2(sK1,sK4,sF21)
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f861,definition,
( spl27_19
<=> m1_subset_1(sF21,sF23) ),
introduced(definition,[new_symbols(definition,[spl27_19])],[avatar_definition]) ).
fof(f862,plain,
( m1_subset_1(sF21,sF23)
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f863,plain,
( ~ m1_subset_1(sF21,sF23)
| spl27_19 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f865,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sK4,sF20)
| ~ m1_subset_1(sK4,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2 ),
inference(superposition,[],[f845,f286]) ).
fof(f867,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sK4,sF20)
| ~ m1_subset_1(sK4,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f865,f174]) ).
fof(f868,plain,
( ~ m1_subset_1(sF20,sF22)
| r1_orders_2(sK0,sK4,sF20)
| ~ m1_subset_1(sK4,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f867,f159]) ).
fof(f869,plain,
( ~ m1_subset_1(sF20,sF22)
| r1_orders_2(sK0,sK4,sF20)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f868,f303]) ).
fof(f870,plain,
( ~ m1_subset_1(sF20,sF22)
| r1_orders_2(sK0,sK4,sF20)
| ~ l1_orders_2(sK0)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f869,f161]) ).
fof(f871,plain,
( ~ m1_subset_1(sF20,sF22)
| r1_orders_2(sK0,sK4,sF20)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f870,f156]) ).
fof(f873,definition,
( spl27_20
<=> r1_orders_2(sK0,sK4,sF20) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f875,plain,
( r1_orders_2(sK0,sK4,sF20)
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f877,definition,
( spl27_21
<=> m1_subset_1(sF20,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f878,plain,
( m1_subset_1(sF20,sF22)
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f879,plain,
( ~ m1_subset_1(sF20,sF22)
| spl27_21 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f880,plain,
( spl27_20
| ~ spl27_21
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f871,f369,f877,f873]) ).
fof(f882,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(sK0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl27_4 ),
inference(resolution,[],[f272,f604]) ).
fof(f883,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(sK0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl27_3 ),
inference(resolution,[],[f272,f376]) ).
fof(f892,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f883,f159]) ).
fof(f893,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f882,f159]) ).
fof(f898,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK0) )
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f892,f161]) ).
fof(f899,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f893,f161]) ).
fof(f904,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f898,f156]) ).
fof(f905,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sF21,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f899,f156]) ).
fof(f910,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_3 ),
inference(forward_demodulation,[],[f904,f286]) ).
fof(f911,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,sF22)
| r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_4 ),
inference(forward_demodulation,[],[f905,f286]) ).
fof(f916,plain,
( ! [X0] :
( r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f910,f379]) ).
fof(f917,plain,
( ! [X0] :
( r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f911,f379]) ).
fof(f920,plain,
( ! [X0] :
( ~ m1_subset_1(sK5,sF22)
| r1_orders_2(X0,sK5,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f916,f286]) ).
fof(f921,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,sF22)
| r1_orders_2(X0,sK4,sF21)
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_4 ),
inference(forward_demodulation,[],[f917,f286]) ).
fof(f924,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sK5,sF21)
| ~ m1_subset_1(sK5,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f920,f302]) ).
fof(f925,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ r1_latsum_1(sK0,X0)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sK4,sF21)
| ~ m1_subset_1(sK4,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f921,f303]) ).
fof(f928,plain,
( ~ m1_subset_1(sF21,sF23)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| r1_orders_2(sK1,sK4,sF21)
| ~ m1_subset_1(sK4,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_4 ),
inference(superposition,[],[f925,f288]) ).
fof(f929,plain,
( ~ m1_subset_1(sF21,sF23)
| ~ v3_orders_2(sK1)
| r1_orders_2(sK1,sK4,sF21)
| ~ m1_subset_1(sK4,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f928,f174]) ).
fof(f930,plain,
( ~ m1_subset_1(sF21,sF23)
| r1_orders_2(sK1,sK4,sF21)
| ~ m1_subset_1(sK4,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f929,f165]) ).
fof(f931,plain,
( ~ m1_subset_1(sF21,sF23)
| r1_orders_2(sK1,sK4,sF21)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f930,f301]) ).
fof(f932,plain,
( ~ m1_subset_1(sF21,sF23)
| r1_orders_2(sK1,sK4,sF21)
| ~ l1_orders_2(sK1)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f931,f167]) ).
fof(f933,plain,
( ~ m1_subset_1(sF21,sF23)
| r1_orders_2(sK1,sK4,sF21)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f932,f162]) ).
fof(f934,plain,
( spl27_17
| ~ spl27_19
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f933,f378,f861,f853]) ).
fof(f938,plain,
( ~ m1_subset_1(sF21,sF23)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| r1_orders_2(sK1,sK5,sF21)
| ~ m1_subset_1(sK5,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f924,f288]) ).
fof(f948,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,u1_struct_0(X1)))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f239,f288]) ).
fof(f953,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,u1_struct_0(X1)))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f948,f167]) ).
fof(f957,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,u1_struct_0(X1)))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(forward_subsumption_resolution,[],[f953,f162]) ).
fof(f959,plain,
l1_struct_0(sK0),
inference(resolution,[],[f197,f156]) ).
fof(f960,plain,
l1_struct_0(sK1),
inference(resolution,[],[f197,f162]) ).
fof(f963,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sK5,sF20)
| ~ m1_subset_1(sK5,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2 ),
inference(superposition,[],[f842,f286]) ).
fof(f966,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| r3_orders_2(sK0,X1,X1) ),
inference(superposition,[],[f237,f286]) ).
fof(f970,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| r3_orders_2(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f966,f161]) ).
fof(f972,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22)
| r3_orders_2(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f970,f160]) ).
fof(f974,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF22)
| ~ m1_subset_1(X1,sF22)
| r3_orders_2(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f972,f156]) ).
fof(f983,definition,
( spl27_24
<=> ! [X1] :
( ~ m1_subset_1(X1,sF22)
| r3_orders_2(sK0,X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl27_24])],[avatar_definition]) ).
fof(f984,plain,
( ! [X1] :
( r3_orders_2(sK0,X1,X1)
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f986,definition,
( spl27_25
<=> ! [X0] : ~ m1_subset_1(X0,sF22) ),
introduced(definition,[new_symbols(definition,[spl27_25])],[avatar_definition]) ).
fof(f987,plain,
( ! [X0] : ~ m1_subset_1(X0,sF22)
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f988,plain,
( spl27_24
| spl27_25 ),
inference(avatar_split_clause,[],[f974,f986,f983]) ).
fof(f1037,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(resolution,[],[f984,f234]) ).
fof(f1038,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(duplicate_literal_removal,[],[f1037]) ).
fof(f1040,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f1038,f161]) ).
fof(f1042,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f1040,f160]) ).
fof(f1052,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f1042,f156]) ).
fof(f1053,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ m1_subset_1(X0,sF22)
| r1_orders_2(sK0,X0,X0) )
| ~ spl27_24 ),
inference(forward_demodulation,[],[f1052,f286]) ).
fof(f1054,plain,
( ! [X0] :
( r1_orders_2(sK0,X0,X0)
| ~ m1_subset_1(X0,sF22) )
| ~ spl27_24 ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1084,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),sF23),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),sF23),X0)
| r2_hidden(X1,sF23)
| ~ r1_orders_2(k1_latsum_1(X0,sK1),X2,X1)
| ~ r2_hidden(X2,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,sK1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,sK1)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f243,f288]) ).
fof(f1089,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),sF23),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X0),sF23),X0)
| r2_hidden(X1,sF23)
| ~ r1_orders_2(k1_latsum_1(X0,sK1),X2,X1)
| ~ r2_hidden(X2,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,sK1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,sK1)))
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f1084,f162]) ).
fof(f1940,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X2)
| k13_lattice3(X0,X1,X2) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X2)
| k13_lattice3(X0,X1,X2) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f249,f251]) ).
fof(f1953,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X2,X2)
| ~ r1_orders_2(X0,X1,X2)
| k13_lattice3(X0,X1,X2) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f1940]) ).
fof(f2010,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,sF22))
| m1_subset_1(X0,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f957,f286]) ).
fof(f2013,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,sF22))
| m1_subset_1(X0,sF22)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f2010,f161]) ).
fof(f2015,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF23,sF22))
| m1_subset_1(X0,sF22) ),
inference(forward_subsumption_resolution,[],[f2013,f156]) ).
fof(f2020,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF22,sF23))
| m1_subset_1(X0,sF22) ),
inference(superposition,[],[f2015,f184]) ).
fof(f2021,plain,
! [X0] :
( ~ r2_hidden(X0,sF24)
| m1_subset_1(X0,sF22) ),
inference(forward_demodulation,[],[f2020,f290]) ).
fof(f2103,plain,
( ~ v1_xboole_0(sF22)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f207,f286]) ).
fof(f2104,plain,
( ~ v1_xboole_0(sF23)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f207,f288]) ).
fof(f2105,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl27_9 ),
inference(forward_subsumption_resolution,[],[f2104,f754]) ).
fof(f2106,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl27_13 ),
inference(forward_subsumption_resolution,[],[f2103,f773]) ).
fof(f2107,plain,
( ~ l1_struct_0(sK1)
| ~ spl27_9 ),
inference(forward_subsumption_resolution,[],[f2105,f167]) ).
fof(f2108,plain,
( ~ l1_struct_0(sK0)
| ~ spl27_13 ),
inference(forward_subsumption_resolution,[],[f2106,f161]) ).
fof(f2109,plain,
( $false
| ~ spl27_9 ),
inference(forward_subsumption_resolution,[],[f2107,f960]) ).
fof(f2110,plain,
~ spl27_9,
inference(avatar_contradiction_clause,[],[f2109]) ).
fof(f2111,plain,
( $false
| ~ spl27_13 ),
inference(forward_subsumption_resolution,[],[f2108,f959]) ).
fof(f2112,plain,
~ spl27_13,
inference(avatar_contradiction_clause,[],[f2111]) ).
fof(f2179,definition,
( spl27_64
<=> r2_hidden(sK4,sF24) ),
introduced(definition,[new_symbols(definition,[spl27_64])],[avatar_definition]) ).
fof(f2180,plain,
( r2_hidden(sK4,sF24)
| ~ spl27_64 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2181,plain,
( ~ r2_hidden(sK4,sF24)
| spl27_64 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2194,definition,
( spl27_67
<=> r2_hidden(sK5,sF24) ),
introduced(definition,[new_symbols(definition,[spl27_67])],[avatar_definition]) ).
fof(f2195,plain,
( r2_hidden(sK5,sF24)
| ~ spl27_67 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2196,plain,
( ~ r2_hidden(sK5,sF24)
| spl27_67 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2270,definition,
( spl27_81
<=> r2_hidden(sF20,sF24) ),
introduced(definition,[new_symbols(definition,[spl27_81])],[avatar_definition]) ).
fof(f2272,plain,
( r2_hidden(sF20,sF24)
| ~ spl27_81 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2279,plain,
( ~ r2_hidden(sK4,sF22)
| r2_hidden(sK4,sF24)
| ~ spl27_12 ),
inference(resolution,[],[f768,f458]) ).
fof(f2281,plain,
( r2_hidden(sK4,sF24)
| ~ spl27_12
| ~ spl27_16 ),
inference(forward_subsumption_resolution,[],[f2279,f787]) ).
fof(f2282,plain,
( $false
| ~ spl27_12
| ~ spl27_16
| spl27_64 ),
inference(forward_subsumption_resolution,[],[f2281,f2181]) ).
fof(f2283,plain,
( ~ spl27_12
| ~ spl27_16
| spl27_64 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2291,plain,
( ~ r2_hidden(sK5,sF22)
| r2_hidden(sK5,sF24)
| ~ spl27_11 ),
inference(resolution,[],[f763,f458]) ).
fof(f2293,plain,
( r2_hidden(sK5,sF24)
| ~ spl27_11
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f2291,f782]) ).
fof(f2294,plain,
( $false
| ~ spl27_11
| ~ spl27_15
| spl27_67 ),
inference(forward_subsumption_resolution,[],[f2293,f2196]) ).
fof(f2295,plain,
( ~ spl27_11
| ~ spl27_15
| spl27_67 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2297,plain,
( r2_hidden(sF20,sF24)
| ~ r2_hidden(sK4,sF24)
| ~ m1_subset_1(sF24,sF25)
| ~ v1_waybel_0(sF24,sK1)
| ~ v12_waybel_0(sF24,sK1)
| ~ spl27_67 ),
inference(resolution,[],[f2195,f322]) ).
fof(f2303,plain,
( r2_hidden(sF20,sF24)
| ~ m1_subset_1(sF24,sF25)
| ~ v1_waybel_0(sF24,sK1)
| ~ v12_waybel_0(sF24,sK1)
| ~ spl27_64
| ~ spl27_67 ),
inference(forward_subsumption_resolution,[],[f2297,f2180]) ).
fof(f2304,plain,
( r2_hidden(sF20,sF24)
| ~ v1_waybel_0(sF24,sK1)
| ~ v12_waybel_0(sF24,sK1)
| ~ spl27_64
| ~ spl27_67 ),
inference(forward_subsumption_resolution,[],[f2303,f295]) ).
fof(f2305,plain,
( r2_hidden(sF20,sF24)
| ~ v12_waybel_0(sF24,sK1)
| ~ spl27_64
| ~ spl27_67 ),
inference(forward_subsumption_resolution,[],[f2304,f291]) ).
fof(f2306,plain,
( r2_hidden(sF20,sF24)
| ~ spl27_64
| ~ spl27_67 ),
inference(forward_subsumption_resolution,[],[f2305,f292]) ).
fof(f2307,plain,
( spl27_81
| ~ spl27_64
| ~ spl27_67 ),
inference(avatar_split_clause,[],[f2306,f2194,f2179,f2270]) ).
fof(f2309,plain,
( m1_subset_1(sF20,sF22)
| ~ spl27_81 ),
inference(resolution,[],[f2272,f2021]) ).
fof(f2315,plain,
( $false
| spl27_21
| ~ spl27_81 ),
inference(forward_subsumption_resolution,[],[f2309,f879]) ).
fof(f2316,plain,
( spl27_21
| ~ spl27_81 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
fof(f2317,plain,
( ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sK5,sF20)
| ~ m1_subset_1(sK5,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f963,f878]) ).
fof(f2318,plain,
( ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sK5,sF20)
| ~ m1_subset_1(sK5,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2317,f174]) ).
fof(f2319,plain,
( r1_orders_2(sK0,sK5,sF20)
| ~ m1_subset_1(sK5,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2318,f159]) ).
fof(f2320,plain,
( r1_orders_2(sK0,sK5,sF20)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2319,f302]) ).
fof(f2321,plain,
( r1_orders_2(sK0,sK5,sF20)
| ~ l1_orders_2(sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2320,f161]) ).
fof(f2322,plain,
( r1_orders_2(sK0,sK5,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2321,f156]) ).
fof(f2347,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ r1_orders_2(sK0,sK4,sF20)
| r1_orders_2(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_21 ),
inference(resolution,[],[f2322,f711]) ).
fof(f2354,plain,
( ~ r1_orders_2(sK0,sK4,sF20)
| r1_orders_2(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2347,f878]) ).
fof(f2358,plain,
( r1_orders_2(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_20
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2354,f875]) ).
fof(f2403,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,sF20,X0) = k10_lattice3(sK0,sF20,X0) )
| ~ spl27_21 ),
inference(resolution,[],[f878,f467]) ).
fof(f2406,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,sF20,X0) = k13_lattice3(sK0,X0,sF20) )
| ~ spl27_21 ),
inference(resolution,[],[f878,f331]) ).
fof(f2515,plain,
( k13_lattice3(sK0,sF20,sF21) = k10_lattice3(sK0,sF20,sF21)
| ~ spl27_4
| ~ spl27_21 ),
inference(resolution,[],[f2403,f379]) ).
fof(f2547,plain,
( k13_lattice3(sK0,sF20,sF21) = k13_lattice3(sK0,sF21,sF20)
| ~ spl27_4
| ~ spl27_21 ),
inference(resolution,[],[f2406,f379]) ).
fof(f2548,plain,
( k10_lattice3(sK0,sF20,sF21) = k13_lattice3(sK0,sF21,sF20)
| ~ spl27_4
| ~ spl27_21 ),
inference(forward_demodulation,[],[f2547,f2515]) ).
fof(f2555,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_latsum_1(X0,X3)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X3),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,X3)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X2,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f279,f238]) ).
fof(f2556,plain,
! [X2,X3,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| ~ r1_latsum_1(X0,X3)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X3),X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,X3)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(duplicate_literal_removal,[],[f2555]) ).
fof(f2557,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(X0,X3)))
| ~ r1_latsum_1(X0,X3)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X3),X1,X2)
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ l1_orders_2(X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(forward_subsumption_resolution,[],[f2556,f244]) ).
fof(f2813,plain,
! [X0,X1] :
( ~ m1_subset_1(k3_xboole_0(sF22,sF23),k1_zfmisc_1(sF22))
| ~ v13_waybel_0(k3_xboole_0(sF22,sF23),sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f1089,f286]) ).
fof(f2816,plain,
! [X0,X1] :
( ~ m1_subset_1(k3_xboole_0(sF22,sF23),k1_zfmisc_1(sF22))
| ~ v13_waybel_0(k3_xboole_0(sF22,sF23),sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2813,f156]) ).
fof(f2818,plain,
! [X0,X1] :
( ~ m1_subset_1(k3_xboole_0(sF22,sF23),sF26)
| ~ v13_waybel_0(k3_xboole_0(sF22,sF23),sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f2816,f298]) ).
fof(f2820,plain,
! [X0,X1] :
( ~ m1_subset_1(sF24,sF26)
| ~ v13_waybel_0(k3_xboole_0(sF22,sF23),sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f2818,f290]) ).
fof(f2822,plain,
! [X0,X1] :
( ~ v13_waybel_0(k3_xboole_0(sF22,sF23),sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2820,f299]) ).
fof(f2831,plain,
! [X0,X1] :
( ~ v13_waybel_0(sF24,sK0)
| r2_hidden(X0,sF23)
| ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f2822,f290]) ).
fof(f2832,plain,
! [X0,X1] :
( ~ r1_orders_2(k1_latsum_1(sK0,sK1),X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2831,f296]) ).
fof(f3256,plain,
! [X2,X3,X0,X1] :
( ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r2_hidden(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f2557,f238]) ).
fof(f3258,plain,
! [X2,X3,X0,X1] :
( ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r2_hidden(X2,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f3256]) ).
fof(f3260,plain,
! [X2,X3,X0,X1] :
( r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
| ~ v3_orders_2(X0)
| ~ r1_latsum_1(X0,X1)
| ~ r1_orders_2(X0,X2,X3)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ r2_hidden(X2,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f3258,f244]) ).
fof(f3368,plain,
! [X0,X1] :
( ~ v3_orders_2(sK0)
| ~ r1_latsum_1(sK0,sK1)
| ~ r1_orders_2(sK0,X0,X1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(resolution,[],[f3260,f2832]) ).
fof(f3380,plain,
! [X0,X1] :
( ~ r1_latsum_1(sK0,sK1)
| ~ r1_orders_2(sK0,X0,X1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3368,f159]) ).
fof(f3387,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3380,f174]) ).
fof(f3393,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3387,f167]) ).
fof(f3399,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3393,f162]) ).
fof(f3402,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ l1_orders_2(sK0)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3399,f161]) ).
fof(f3405,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3402,f156]) ).
fof(f3408,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3405,f166]) ).
fof(f3411,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3408,f165]) ).
fof(f3414,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v1_lattice3(sK1)
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3411,f164]) ).
fof(f3415,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v2_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3414,f163]) ).
fof(f3416,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3415,f160]) ).
fof(f3417,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3416,f158]) ).
fof(f3418,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3417,f157]) ).
fof(f3419,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sF22)
| ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f3418,f286]) ).
fof(f3420,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,sF22)
| ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f3419,f286]) ).
fof(f3422,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f3420,f238]) ).
fof(f3424,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3422,f167]) ).
fof(f3425,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3424,f166]) ).
fof(f3426,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3425,f165]) ).
fof(f3427,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3426,f164]) ).
fof(f3428,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3427,f163]) ).
fof(f3429,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3428,f162]) ).
fof(f3430,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3429,f161]) ).
fof(f3431,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3430,f160]) ).
fof(f3432,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3431,f159]) ).
fof(f3433,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3432,f158]) ).
fof(f3434,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3433,f157]) ).
fof(f3435,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f3434,f156]) ).
fof(f3436,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f3435,f286]) ).
fof(f3437,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ r1_orders_2(sK0,X1,X0)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF23)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,sF22) ),
inference(duplicate_literal_removal,[],[f3436]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f3437,f238]) ).
fof(f3441,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3439,f167]) ).
fof(f3442,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3441,f166]) ).
fof(f3443,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3442,f165]) ).
fof(f3444,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3443,f164]) ).
fof(f3445,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3444,f163]) ).
fof(f3446,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3445,f162]) ).
fof(f3447,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3446,f161]) ).
fof(f3448,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3447,f160]) ).
fof(f3449,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3448,f159]) ).
fof(f3450,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3449,f158]) ).
fof(f3451,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f3450,f157]) ).
fof(f3452,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22)
| ~ r2_hidden(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f3451,f156]) ).
fof(f3453,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF22)
| ~ r1_orders_2(sK0,X0,X1)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF22)
| ~ r2_hidden(X1,sF22) ),
inference(forward_demodulation,[],[f3452,f286]) ).
fof(f3454,plain,
! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ r2_hidden(X0,sF22)
| r2_hidden(X1,sF23)
| ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X1,sF22) ),
inference(duplicate_literal_removal,[],[f3453]) ).
fof(f3466,plain,
( ~ r2_hidden(sK5,sF22)
| r2_hidden(sF21,sF23)
| ~ r2_hidden(sK5,sF23)
| ~ r2_hidden(sF21,sF22)
| ~ spl27_3 ),
inference(resolution,[],[f3454,f376]) ).
fof(f3473,plain,
( r2_hidden(sF21,sF23)
| ~ r2_hidden(sK5,sF23)
| ~ r2_hidden(sF21,sF22)
| ~ spl27_3
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f3466,f782]) ).
fof(f3482,plain,
( r2_hidden(sF21,sF23)
| ~ r2_hidden(sF21,sF22)
| ~ spl27_3
| ~ spl27_11
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f3473,f763]) ).
fof(f3491,plain,
( r2_hidden(sF21,sF23)
| ~ spl27_3
| ~ spl27_11
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f3482,f777]) ).
fof(f3506,plain,
( m1_subset_1(sF21,sF23)
| ~ spl27_3
| ~ spl27_11
| ~ spl27_14
| ~ spl27_15 ),
inference(resolution,[],[f3491,f244]) ).
fof(f3510,plain,
( $false
| ~ spl27_3
| ~ spl27_11
| ~ spl27_14
| ~ spl27_15
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f3506,f863]) ).
fof(f3511,plain,
( ~ spl27_3
| ~ spl27_11
| ~ spl27_14
| ~ spl27_15
| spl27_19 ),
inference(avatar_contradiction_clause,[],[f3510]) ).
fof(f3513,plain,
( ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK1)
| r1_orders_2(sK1,sK5,sF21)
| ~ m1_subset_1(sK5,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f938,f862]) ).
fof(f3515,plain,
( ~ v3_orders_2(sK1)
| r1_orders_2(sK1,sK5,sF21)
| ~ m1_subset_1(sK5,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3513,f174]) ).
fof(f3517,plain,
( r1_orders_2(sK1,sK5,sF21)
| ~ m1_subset_1(sK5,sF23)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3515,f165]) ).
fof(f3519,plain,
( r1_orders_2(sK1,sK5,sF21)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3517,f300]) ).
fof(f3521,plain,
( r1_orders_2(sK1,sK5,sF21)
| ~ l1_orders_2(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3519,f167]) ).
fof(f3523,plain,
( r1_orders_2(sK1,sK5,sF21)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3521,f162]) ).
fof(f3550,plain,
( ~ m1_subset_1(sF21,sF23)
| ~ r1_orders_2(sK1,sK4,sF21)
| r1_orders_2(sK1,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(resolution,[],[f3523,f710]) ).
fof(f3557,plain,
( ~ r1_orders_2(sK1,sK4,sF21)
| r1_orders_2(sK1,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3550,f862]) ).
fof(f3562,plain,
( r1_orders_2(sK1,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3557,f855]) ).
fof(f3580,plain,
( ! [X0] :
( r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(sK1)
| ~ m1_subset_1(sF21,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(resolution,[],[f3562,f270]) ).
fof(f3582,plain,
( ! [X0] :
( r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3580,f165]) ).
fof(f3584,plain,
( ! [X0] :
( r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ l1_orders_2(sK1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3582,f167]) ).
fof(f3586,plain,
( ! [X0] :
( r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3584,f162]) ).
fof(f3588,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,sF23)
| r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_demodulation,[],[f3586,f288]) ).
fof(f3590,plain,
( ! [X0] :
( r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3588,f862]) ).
fof(f3592,plain,
( ! [X0] :
( ~ m1_subset_1(sF20,sF23)
| r1_orders_2(X0,sF20,sF21)
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_demodulation,[],[f3590,f288]) ).
fof(f3594,plain,
( ! [X0] :
( ~ m1_subset_1(sF21,u1_struct_0(X0))
| ~ r1_latsum_1(X0,sK1)
| ~ v3_orders_2(X0)
| r1_orders_2(X0,sF20,sF21)
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3592,f370]) ).
fof(f3736,plain,
( ~ m1_subset_1(sF21,sF22)
| ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sF20,sF21)
| ~ m1_subset_1(sF20,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(superposition,[],[f3594,f286]) ).
fof(f3738,plain,
( ~ r1_latsum_1(sK0,sK1)
| ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sF20,sF21)
| ~ m1_subset_1(sF20,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3736,f379]) ).
fof(f3740,plain,
( ~ v3_orders_2(sK0)
| r1_orders_2(sK0,sF20,sF21)
| ~ m1_subset_1(sF20,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3738,f174]) ).
fof(f3742,plain,
( r1_orders_2(sK0,sF20,sF21)
| ~ m1_subset_1(sF20,sF22)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f3740,f159]) ).
fof(f3743,plain,
( r1_orders_2(sK0,sF20,sF21)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f3742,f878]) ).
fof(f3744,plain,
( r1_orders_2(sK0,sF20,sF21)
| ~ l1_orders_2(sK0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f3743,f161]) ).
fof(f3745,plain,
( r1_orders_2(sK0,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f3744,f156]) ).
fof(f4645,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(resolution,[],[f1953,f1054]) ).
fof(f4676,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4645,f158]) ).
fof(f4691,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4676,f157]) ).
fof(f4705,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4691,f156]) ).
fof(f4719,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,sF22) )
| ~ spl27_24 ),
inference(forward_demodulation,[],[f4705,f286]) ).
fof(f4720,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF22)
| ~ r1_orders_2(sK0,X0,X1)
| k13_lattice3(sK0,X0,X1) = X1
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_24 ),
inference(duplicate_literal_removal,[],[f4719]) ).
fof(f4735,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK0,X0,X1)
| ~ m1_subset_1(X1,sF22)
| ~ m1_subset_1(X0,sF22)
| k13_lattice3(sK0,X0,X1) = X1 )
| ~ spl27_24 ),
inference(forward_demodulation,[],[f4720,f286]) ).
fof(f4786,plain,
( ~ m1_subset_1(sF21,sF22)
| ~ m1_subset_1(sF20,sF22)
| sF21 = k13_lattice3(sK0,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21
| ~ spl27_24 ),
inference(resolution,[],[f4735,f3745]) ).
fof(f4788,plain,
( ~ m1_subset_1(sF20,sF22)
| ~ m1_subset_1(sF21,sF22)
| sF20 = k13_lattice3(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(resolution,[],[f4735,f2358]) ).
fof(f4798,plain,
( ~ m1_subset_1(sF21,sF22)
| sF20 = k13_lattice3(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4788,f878]) ).
fof(f4800,plain,
( ~ m1_subset_1(sF20,sF22)
| sF21 = k13_lattice3(sK0,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4786,f379]) ).
fof(f4817,plain,
( sF20 = k13_lattice3(sK0,sF21,sF20)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4798,f379]) ).
fof(f4819,plain,
( sF21 = k13_lattice3(sK0,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4800,f878]) ).
fof(f4829,plain,
( sF20 = k10_lattice3(sK0,sF20,sF21)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_demodulation,[],[f4817,f2548]) ).
fof(f4830,plain,
( sF21 = k10_lattice3(sK0,sF20,sF21)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_demodulation,[],[f4819,f2515]) ).
fof(f4840,plain,
( sF20 = sF21
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_demodulation,[],[f4830,f4829]) ).
fof(f4844,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f4840,f284]) ).
fof(f4845,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(avatar_contradiction_clause,[],[f4844]) ).
fof(f4864,plain,
( $false
| ~ spl27_25 ),
inference(resolution,[],[f987,f303]) ).
fof(f4872,plain,
~ spl27_25,
inference(avatar_contradiction_clause,[],[f4864]) ).
cnf(s1,plain,
( spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f372]) ).
cnf(s2,plain,
( spl27_3
| ~ spl27_4 ),
inference(sat_conversion,[],[f381]) ).
cnf(s5,plain,
spl27_2,
inference(sat_conversion,[],[f585]) ).
cnf(s6,plain,
spl27_4,
inference(sat_conversion,[],[f587]) ).
cnf(s10,plain,
( spl27_9
| spl27_11 ),
inference(sat_conversion,[],[f764]) ).
cnf(s11,plain,
( spl27_9
| spl27_12 ),
inference(sat_conversion,[],[f769]) ).
cnf(s12,plain,
( ~ spl27_4
| spl27_13
| spl27_14 ),
inference(sat_conversion,[],[f778]) ).
cnf(s13,plain,
( spl27_13
| spl27_15 ),
inference(sat_conversion,[],[f783]) ).
cnf(s14,plain,
( spl27_13
| spl27_16 ),
inference(sat_conversion,[],[f788]) ).
cnf(s16,plain,
( ~ spl27_2
| spl27_20
| ~ spl27_21 ),
inference(sat_conversion,[],[f880]) ).
cnf(s17,plain,
( ~ spl27_4
| spl27_17
| ~ spl27_19 ),
inference(sat_conversion,[],[f934]) ).
cnf(s19,plain,
( spl27_24
| spl27_25 ),
inference(sat_conversion,[],[f988]) ).
cnf(s53,plain,
~ spl27_9,
inference(sat_conversion,[],[f2110]) ).
cnf(s54,plain,
~ spl27_13,
inference(sat_conversion,[],[f2112]) ).
cnf(s70,plain,
( ~ spl27_12
| ~ spl27_16
| spl27_64 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s71,plain,
( ~ spl27_11
| ~ spl27_15
| spl27_67 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s72,plain,
( ~ spl27_64
| ~ spl27_67
| spl27_81 ),
inference(sat_conversion,[],[f2307]) ).
cnf(s74,plain,
( spl27_21
| ~ spl27_81 ),
inference(sat_conversion,[],[f2316]) ).
cnf(s93,plain,
( ~ spl27_3
| ~ spl27_11
| ~ spl27_14
| ~ spl27_15
| spl27_19 ),
inference(sat_conversion,[],[f3511]) ).
cnf(s100,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_17
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_24 ),
inference(sat_conversion,[],[f4845]) ).
cnf(s104,plain,
~ spl27_25,
inference(sat_conversion,[],[f4872]) ).
cnf(s119,plain,
spl27_24,
inference(rat,[],[s19,s104]) ).
cnf(s120,plain,
spl27_16,
inference(rat,[],[s14,s54]) ).
cnf(s121,plain,
spl27_15,
inference(rat,[],[s13,s54]) ).
cnf(s122,plain,
( ~ spl27_4
| spl27_14 ),
inference(rat,[],[s12,s54]) ).
cnf(s123,plain,
spl27_12,
inference(rat,[],[s11,s53]) ).
cnf(s124,plain,
spl27_64,
inference(rat,[],[s70,s120,s123]) ).
cnf(s128,plain,
spl27_11,
inference(rat,[],[s10,s53]) ).
cnf(s129,plain,
spl27_67,
inference(rat,[],[s71,s121,s128]) ).
cnf(s130,plain,
spl27_81,
inference(rat,[],[s72,s124,s129]) ).
cnf(s133,plain,
spl27_21,
inference(rat,[],[s74,s130]) ).
cnf(s137,plain,
spl27_14,
inference(rat,[],[s122,s6]) ).
cnf(s138,plain,
spl27_20,
inference(rat,[],[s16,s133,s5]) ).
cnf(s140,plain,
spl27_3,
inference(rat,[],[s2,s6]) ).
cnf(s141,plain,
spl27_19,
inference(rat,[],[s93,s137,s121,s128,s140]) ).
cnf(s142,plain,
spl27_17,
inference(rat,[],[s17,s6,s141]) ).
cnf(s144,plain,
~ spl27_1,
inference(rat,[],[s100,s119,s133,s138,s141,s140,s6,s5,s142]) ).
cnf(s145,plain,
$false,
inference(rat,[],[s1,s5,s144]) ).
fof(f4875,plain,
$false,
inference(avatar_sat_refutation,[],[s145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU410+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:12:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/1.80 % (1448500)Detected formulas, will run a generic FOF schedule.
% 4.55/1.80 % (1448505)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=4275752425:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.55/1.80 % (1448507)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=3983677190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.55/1.80 % (1448510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=695715590:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.55/1.80 % (1448506)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=1686085137:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.55/1.80 % (1448511)dis-21_1_sil=8000:lcm=predicate:random_seed=3483960280: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)
% 4.55/1.80 % (1448508)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=442496242:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.55/1.80 % (1448508)Refutation not found, incomplete strategy
% 4.55/1.80 % (1448508)------------------------------
% 4.55/1.80 % (1448508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448508)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448508)Termination reason: Refutation not found, incomplete strategy
% 4.55/1.80 % (1448508)Time elapsed: 0.005 s
% 4.55/1.80 % (1448508)Peak memory usage: 88 MB
% 4.55/1.80 % (1448508)Instructions burned: 6 (million)
% 4.55/1.80 % (1448509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1230346679:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.55/1.80 % (1448509)Instruction limit reached!
% 4.55/1.80 % (1448509)------------------------------
% 4.55/1.80 % (1448509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448509)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448509)Termination reason: Instruction limit
% 4.55/1.80 % (1448509)Termination phase: Saturation
% 4.55/1.80 % (1448509)Time elapsed: 0.063 s
% 4.55/1.80 % (1448509)Peak memory usage: 88 MB
% 4.55/1.80 % (1448509)Instructions burned: 119 (million)
% 4.55/1.80 % (1448511)Instruction limit reached!
% 4.55/1.80 % (1448511)------------------------------
% 4.55/1.80 % (1448511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448511)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448511)Termination reason: Instruction limit
% 4.55/1.80 % (1448511)Termination phase: Saturation
% 4.55/1.80 % (1448511)Time elapsed: 0.075 s
% 4.55/1.80 % (1448511)Peak memory usage: 90 MB
% 4.55/1.80 % (1448511)Instructions burned: 131 (million)
% 4.55/1.80 % (1448510)Instruction limit reached!
% 4.55/1.80 % (1448510)------------------------------
% 4.55/1.80 % (1448510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448510)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448510)Termination reason: Instruction limit
% 4.55/1.80 % (1448510)Termination phase: Saturation
% 4.55/1.80 % (1448510)Time elapsed: 0.095 s
% 4.55/1.80 % (1448510)Peak memory usage: 90 MB
% 4.55/1.80 % (1448510)Instructions burned: 139 (million)
% 4.55/1.80 % (1448520)lrs+10_1_sil=32000:urr=on:br=off:random_seed=529575380:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.55/1.80 % (1448519)lrs+10_1_sil=8000:sp=occurrence:random_seed=1570952050:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.55/1.80 % (1448508)------------------------------
% 4.55/1.80 % (1448508)------------------------------
% 4.55/1.80 % (1448521)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1357072984:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.55/1.80 % (1448520)Instruction limit reached!
% 4.55/1.80 % (1448520)------------------------------
% 4.55/1.80 % (1448520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448520)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448520)Termination reason: Instruction limit
% 4.55/1.80 % (1448520)Termination phase: Saturation
% 4.55/1.80 % (1448520)Time elapsed: 0.078 s
% 4.55/1.80 % (1448520)Peak memory usage: 89 MB
% 4.55/1.80 % (1448520)Instructions burned: 157 (million)
% 4.55/1.80 % (1448519)Instruction limit reached!
% 4.55/1.80 % (1448519)------------------------------
% 4.55/1.80 % (1448519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448519)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448519)Termination reason: Instruction limit
% 4.55/1.80 % (1448519)Termination phase: Saturation
% 4.55/1.80 % (1448519)Time elapsed: 0.162 s
% 4.55/1.80 % (1448519)Peak memory usage: 91 MB
% 4.55/1.80 % (1448519)Instructions burned: 286 (million)
% 4.55/1.80 % (1448524)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=3290371272:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.55/1.80 % (1448521)Instruction limit reached!
% 4.55/1.80 % (1448521)------------------------------
% 4.55/1.80 % (1448521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448521)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448521)Termination reason: Instruction limit
% 4.55/1.80 % (1448521)Termination phase: Saturation
% 4.55/1.80 % (1448521)Time elapsed: 0.202 s
% 4.55/1.80 % (1448521)Peak memory usage: 91 MB
% 4.55/1.80 % (1448521)Instructions burned: 326 (million)
% 4.55/1.80 % (1448526)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=474338161:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.55/1.80 % (1448526)Refutation not found, incomplete strategy
% 4.55/1.80 % (1448526)------------------------------
% 4.55/1.80 % (1448526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448526)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448526)Termination reason: Refutation not found, incomplete strategy
% 4.55/1.80 % (1448526)Time elapsed: 0.018 s
% 4.55/1.80 % (1448526)Peak memory usage: 89 MB
% 4.55/1.80 % (1448526)Instructions burned: 31 (million)
% 4.55/1.80 % (1448524)Instruction limit reached!
% 4.55/1.80 % (1448524)------------------------------
% 4.55/1.80 % (1448524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448524)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448524)Termination reason: Instruction limit
% 4.55/1.80 % (1448524)Termination phase: Saturation
% 4.55/1.80 % (1448524)Time elapsed: 0.122 s
% 4.55/1.80 % (1448524)Peak memory usage: 90 MB
% 4.55/1.80 % (1448524)Instructions burned: 250 (million)
% 4.55/1.80 % (1448527)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=62265195:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.55/1.80 % (1448505)First to succeed.
% 4.55/1.80 % (1448505)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1448500"
% 4.55/1.80 % (1448530)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2297139505:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.55/1.80 % (1448530)Instruction limit reached!
% 4.55/1.80 % (1448530)------------------------------
% 4.55/1.80 % (1448530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.80 % (1448530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.80 % (1448530)CaDiCaL version: 2.1.3
% 4.55/1.80 % (1448530)Termination reason: Instruction limit
% 4.55/1.80 % (1448530)Termination phase: Saturation
% 4.55/1.80 % (1448530)Time elapsed: 0.073 s
% 4.55/1.80 % (1448530)Peak memory usage: 90 MB
% 4.55/1.80 % (1448530)Instructions burned: 113 (million)
% 4.55/1.80 % (1448531)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2896255681:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 4.55/1.80 % (1448526)------------------------------
% 4.55/1.80 % (1448526)------------------------------
% 4.55/1.80 % (1448505)Refutation found. Thanks to Tanya!
% 4.55/1.80 % SZS status Theorem for theBenchmark
% 4.55/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 7.22/2.00 % (1448505)------------------------------
% 7.22/2.00 % (1448505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.22/2.00 % (1448505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/2.00 % (1448505)CaDiCaL version: 2.1.3
% 7.22/2.00 % (1448505)Termination reason: Refutation
% 7.22/2.00 % (1448505)Time elapsed: 0.642 s
% 7.22/2.00 % (1448505)Peak memory usage: 136 MB
% 7.22/2.00 % (1448505)Instructions burned: 1740 (million)
% 7.22/2.00 % (1448505)------------------------------
% 7.22/2.00 % (1448505)------------------------------
% 7.22/2.00 % (1448500)Success in time 0.946 s
% 7.22/2.00 % Vampire exiting
%------------------------------------------------------------------------------