%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU410+4 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:48 PM UTC 2026
% Result : Theorem 59.40s 17.29s
% Output : Refutation 85.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 87
% Syntax : Number of formulae : 602 ( 179 unt; 66 def)
% Number of atoms : 3233 ( 174 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 4806 (2175 ~;2252 |; 252 &)
% ( 78 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 74 ( 72 usr; 59 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-4 aty)
% Number of variables : 615 ( 1 sgn 586 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,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(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f57,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(f58,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f120,axiom,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_xboole_1) ).
fof(f121,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_xboole_1) ).
fof(f123,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_xboole_1) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f678,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(f19479,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f28604,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f28689,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(f28690,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(f39708,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(f39865,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3) )
=> r2_hidden(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f39883,axiom,
! [X0] :
( ( v4_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_waybel_0(X1,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',t40_waybel_0) ).
fof(f42379,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v1_xboole_0(u1_struct_0(X0))
& v1_waybel_0(u1_struct_0(X0),X0)
& v12_waybel_0(u1_struct_0(X0),X0)
& m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel13) ).
fof(f66051,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(f66055,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(f66056,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)],[f66055]) ).
fof(f66071,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f58]) ).
fof(f66122,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,[],[f66051]) ).
fof(f66123,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,[],[f66122]) ).
fof(f66130,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,[],[f66056]) ).
fof(f66131,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,[],[f66130]) ).
fof(f66138,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f66139,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f66138]) ).
fof(f66149,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f66456,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19479]) ).
fof(f66457,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66456]) ).
fof(f66463,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28604]) ).
fof(f66464,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66463]) ).
fof(f66475,plain,
! [X0] :
( ( ~ v1_xboole_0(u1_struct_0(X0))
& v1_waybel_0(u1_struct_0(X0),X0)
& v12_waybel_0(u1_struct_0(X0),X0)
& m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f42379]) ).
fof(f66476,plain,
! [X0] :
( ( ~ v1_xboole_0(u1_struct_0(X0))
& v1_waybel_0(u1_struct_0(X0),X0)
& v12_waybel_0(u1_struct_0(X0),X0)
& m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66475]) ).
fof(f66533,plain,
! [X0] :
( ! [X1] :
( ( v1_waybel_0(X1,X0)
<=> ! [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)) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f39883]) ).
fof(f66534,plain,
! [X0] :
( ! [X1] :
( ( v1_waybel_0(X1,X0)
<=> ! [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)) ) )
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66533]) ).
fof(f66539,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,[],[f39708]) ).
fof(f66540,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,[],[f66539]) ).
fof(f66541,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,[],[f28690]) ).
fof(f66542,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,[],[f66541]) ).
fof(f66543,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,[],[f28689]) ).
fof(f66544,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,[],[f66543]) ).
fof(f66555,plain,
! [X0] :
( ! [X1] :
( ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f39865]) ).
fof(f66556,plain,
! [X0] :
( ! [X1] :
( ( v13_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66555]) ).
fof(f66583,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,[],[f66123]) ).
fof(f66584,plain,
( k13_lattice3(sK11,sK13,sK14) != k13_lattice3(sK12,sK15,sK16)
& v1_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK12)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK11)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK11)))
& r1_latsum_1(sK11,sK12)
& sK13 = sK15
& sK14 = sK16
& m1_subset_1(sK16,u1_struct_0(sK12))
& m1_subset_1(sK15,u1_struct_0(sK12))
& m1_subset_1(sK14,u1_struct_0(sK11))
& m1_subset_1(sK13,u1_struct_0(sK11))
& ~ v3_struct_0(sK12)
& v2_orders_2(sK12)
& v3_orders_2(sK12)
& v4_orders_2(sK12)
& v1_lattice3(sK12)
& l1_orders_2(sK12)
& ~ v3_struct_0(sK11)
& v2_orders_2(sK11)
& v3_orders_2(sK11)
& v4_orders_2(sK11)
& v1_lattice3(sK11)
& l1_orders_2(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15),skolemize(X5,sK16)],[f66131]) ).
fof(f66603,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f66149]) ).
fof(f66648,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f66649,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f66648]) ).
fof(f66650,plain,
! [X0,X1,X2] :
( ( X2 = k4_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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f66649]) ).
fof(f66651,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK43(X0,X1,X2),X0)
| r2_hidden(sK43(X0,X1,X2),X1)
| ~ r2_hidden(sK43(X0,X1,X2),X2) )
& ( ( r2_hidden(sK43(X0,X1,X2),X0)
& ~ r2_hidden(sK43(X0,X1,X2),X1) )
| r2_hidden(sK43(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) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X3,sK43(X0,X1,X2))],[f66650]) ).
fof(f66728,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,[],[f31]) ).
fof(f66729,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,[],[f66728]) ).
fof(f66730,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,[],[f66729]) ).
fof(f66731,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK126(X0,X1,X2),X0)
| ~ r2_hidden(sK126(X0,X1,X2),X1)
| ~ r2_hidden(sK126(X0,X1,X2),X2) )
& ( ( r2_hidden(sK126(X0,X1,X2),X0)
& r2_hidden(sK126(X0,X1,X2),X1) )
| r2_hidden(sK126(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,[sK126]),skolemize(X3,sK126(X0,X1,X2))],[f66730]) ).
fof(f66791,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ? [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)) ) )
& ( ! [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))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f66534]) ).
fof(f66792,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ? [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)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,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))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f66791]) ).
fof(f66793,plain,
! [X0] :
( ! [X1] :
( ( ( v1_waybel_0(X1,X0)
| ( ~ r2_hidden(k13_lattice3(X0,sK166(X0,X1),sK167(X0,X1)),X1)
& r2_hidden(sK166(X0,X1),X1)
& r2_hidden(sK167(X0,X1),X1)
& m1_subset_1(sK167(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK166(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,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))) )
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166,sK167]),skolemize(X2,sK166(X0,X1)),skolemize(X3,sK167(X0,X1))],[f66792]) ).
fof(f66795,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,[],[f66540]) ).
fof(f66796,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,[],[f66795]) ).
fof(f66797,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,[],[f66796]) ).
fof(f66798,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,sK168(X0,X1,X2,X3))
& r1_orders_2(X0,X1,sK168(X0,X1,X2,X3))
& r1_orders_2(X0,X2,sK168(X0,X1,X2,X3))
& m1_subset_1(sK168(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,[sK168]),skolemize(X4,sK168(X0,X1,X2,X3))],[f66797]) ).
fof(f66799,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f66556]) ).
fof(f66800,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X2,X3)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f66799]) ).
fof(f66801,plain,
! [X0] :
( ! [X1] :
( ( ( v13_waybel_0(X1,X0)
| ( ~ r2_hidden(sK170(X0,X1),X1)
& r2_hidden(sK169(X0,X1),X1)
& r1_orders_2(X0,sK169(X0,X1),sK170(X0,X1))
& m1_subset_1(sK170(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK169(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v13_waybel_0(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169,sK170]),skolemize(X2,sK169(X0,X1)),skolemize(X3,sK170(X0,X1))],[f66800]) ).
fof(f66848,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,[],[f66583]) ).
fof(f66849,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,[],[f66583]) ).
fof(f66853,plain,
l1_orders_2(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66854,plain,
v1_lattice3(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66855,plain,
v4_orders_2(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66856,plain,
v3_orders_2(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66857,plain,
v2_orders_2(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66858,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66859,plain,
l1_orders_2(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66860,plain,
v1_lattice3(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66861,plain,
v4_orders_2(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66862,plain,
v3_orders_2(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66863,plain,
v2_orders_2(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66864,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66865,plain,
m1_subset_1(sK13,u1_struct_0(sK11)),
inference(cnf_transformation,[],[f66584]) ).
fof(f66866,plain,
m1_subset_1(sK14,u1_struct_0(sK11)),
inference(cnf_transformation,[],[f66584]) ).
fof(f66867,plain,
m1_subset_1(sK15,u1_struct_0(sK12)),
inference(cnf_transformation,[],[f66584]) ).
fof(f66868,plain,
m1_subset_1(sK16,u1_struct_0(sK12)),
inference(cnf_transformation,[],[f66584]) ).
fof(f66869,plain,
sK14 = sK16,
inference(cnf_transformation,[],[f66584]) ).
fof(f66870,plain,
sK13 = sK15,
inference(cnf_transformation,[],[f66584]) ).
fof(f66871,plain,
r1_latsum_1(sK11,sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66872,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK11))),
inference(cnf_transformation,[],[f66584]) ).
fof(f66873,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK11),
inference(cnf_transformation,[],[f66584]) ).
fof(f66874,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK12))),
inference(cnf_transformation,[],[f66584]) ).
fof(f66875,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66876,plain,
v1_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12),
inference(cnf_transformation,[],[f66584]) ).
fof(f66877,plain,
k13_lattice3(sK11,sK13,sK14) != k13_lattice3(sK12,sK15,sK16),
inference(cnf_transformation,[],[f66584]) ).
fof(f66926,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f66139]) ).
fof(f66939,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f66603]) ).
fof(f67018,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f67123,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f123]) ).
fof(f67125,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f121]) ).
fof(f67126,plain,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f120]) ).
fof(f67129,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f67150,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f66651]) ).
fof(f67404,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f66071]) ).
fof(f67405,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f67412,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,[],[f66731]) ).
fof(f67525,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| X1 = X2
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66457]) ).
fof(f67532,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66464]) ).
fof(f67563,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66476]) ).
fof(f67628,plain,
! [X0,X1,X4,X5] :
( ~ v12_waybel_0(X1,X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v1_waybel_0(X1,X0)
| r2_hidden(k13_lattice3(X0,X4,X5),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66793]) ).
fof(f67637,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,[],[f66798]) ).
fof(f67638,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,[],[f66798]) ).
fof(f67644,plain,
! [X2,X0,X1] :
( ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| k13_lattice3(X0,X1,X2) = k13_lattice3(X0,X2,X1)
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f66542]) ).
fof(f67645,plain,
! [X2,X0,X1] :
( ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| m1_subset_1(k13_lattice3(X0,X1,X2),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f66544]) ).
fof(f67652,plain,
! [X0,X1,X4,X5] :
( ~ r2_hidden(X4,X1)
| r2_hidden(X5,X1)
| ~ r1_orders_2(X0,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v13_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f66801]) ).
fof(f67675,plain,
k13_lattice3(sK12,sK15,sK16) != k13_lattice3(sK11,sK15,sK16),
inference(definition_unfolding,[],[f66877,f66870,f66869]) ).
fof(f67676,plain,
v1_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK12),
inference(definition_unfolding,[],[f66876,f67129]) ).
fof(f67677,plain,
v12_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK12),
inference(definition_unfolding,[],[f66875,f67129]) ).
fof(f67678,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK12))),
inference(definition_unfolding,[],[f66874,f67129]) ).
fof(f67679,plain,
v13_waybel_0(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),sK11),
inference(definition_unfolding,[],[f66873,f67129]) ).
fof(f67680,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK11),k4_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),k1_zfmisc_1(u1_struct_0(sK11))),
inference(definition_unfolding,[],[f66872,f67129]) ).
fof(f67681,plain,
m1_subset_1(sK16,u1_struct_0(sK11)),
inference(definition_unfolding,[],[f66866,f66869]) ).
fof(f67682,plain,
m1_subset_1(sK15,u1_struct_0(sK11)),
inference(definition_unfolding,[],[f66865,f66870]) ).
fof(f67713,plain,
! [X2,X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f67123,f67129]) ).
fof(f67715,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f67125,f67129]) ).
fof(f67716,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) = X0,
inference(definition_unfolding,[],[f67126,f67129]) ).
fof(f67929,plain,
! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,X0)) = X0,
inference(definition_unfolding,[],[f67404,f67129]) ).
fof(f67930,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f67405,f67129,f67129]) ).
fof(f67938,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) != X2 ),
inference(definition_unfolding,[],[f67412,f67129]) ).
fof(f67960,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,[],[f66849]) ).
fof(f67961,plain,
! [X0,X1,X4,X5] :
( ~ r1_latsum_1(X0,X1)
| ~ r1_orders_2(X1,X4,X5)
| r1_orders_2(X0,X4,X5)
| ~ 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,[],[f67960]) ).
fof(f67962,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,[],[f66848]) ).
fof(f67963,plain,
! [X0,X1,X4,X5] :
( ~ r1_latsum_1(X0,X1)
| ~ r1_orders_2(X0,X4,X5)
| r1_orders_2(X1,X4,X5)
| ~ 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,[],[f67962]) ).
fof(f67982,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f67150]) ).
fof(f68015,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f67938]) ).
fof(f68025,plain,
! [X2,X0,X1] :
( r1_orders_2(X0,X2,k13_lattice3(X0,X1,X2))
| ~ m1_subset_1(k13_lattice3(X0,X1,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(equality_resolution,[],[f67638]) ).
fof(f68026,plain,
! [X2,X0,X1,X5] :
( r1_orders_2(X0,k13_lattice3(X0,X1,X2),X5)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(k13_lattice3(X0,X1,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(equality_resolution,[],[f67637]) ).
fof(f68027,definition,
sF171 = k13_lattice3(sK12,sK15,sK16),
introduced(definition,[new_symbols(definition,[sF171])],[function_definition]) ).
fof(f68028,plain,
k13_lattice3(sK12,sK15,sK16) = sF171,
inference(reorient_equations,[],[f68027]) ).
fof(f68029,definition,
sF172 = k13_lattice3(sK11,sK15,sK16),
introduced(definition,[new_symbols(definition,[sF172])],[function_definition]) ).
fof(f68030,plain,
k13_lattice3(sK11,sK15,sK16) = sF172,
inference(reorient_equations,[],[f68029]) ).
fof(f68031,plain,
sF171 != sF172,
inference(definition_folding,[],[f67675,f68030,f68028]) ).
fof(f68032,definition,
sF173 = u1_struct_0(sK11),
introduced(definition,[new_symbols(definition,[sF173])],[function_definition]) ).
fof(f68033,plain,
u1_struct_0(sK11) = sF173,
inference(reorient_equations,[],[f68032]) ).
fof(f68034,definition,
sF174 = u1_struct_0(sK12),
introduced(definition,[new_symbols(definition,[sF174])],[function_definition]) ).
fof(f68035,plain,
u1_struct_0(sK12) = sF174,
inference(reorient_equations,[],[f68034]) ).
fof(f68036,definition,
sF175 = k4_xboole_0(sF173,sF174),
introduced(definition,[new_symbols(definition,[sF175])],[function_definition]) ).
fof(f68037,plain,
k4_xboole_0(sF173,sF174) = sF175,
inference(reorient_equations,[],[f68036]) ).
fof(f68038,definition,
sF176 = k4_xboole_0(sF173,sF175),
introduced(definition,[new_symbols(definition,[sF176])],[function_definition]) ).
fof(f68039,plain,
k4_xboole_0(sF173,sF175) = sF176,
inference(reorient_equations,[],[f68038]) ).
fof(f68040,plain,
v1_waybel_0(sF176,sK12),
inference(definition_folding,[],[f67676,f68039,f68037,f68035,f68033,f68033]) ).
fof(f68041,plain,
v12_waybel_0(sF176,sK12),
inference(definition_folding,[],[f67677,f68039,f68037,f68035,f68033,f68033]) ).
fof(f68042,definition,
sF177 = k1_zfmisc_1(sF174),
introduced(definition,[new_symbols(definition,[sF177])],[function_definition]) ).
fof(f68043,plain,
k1_zfmisc_1(sF174) = sF177,
inference(reorient_equations,[],[f68042]) ).
fof(f68044,plain,
m1_subset_1(sF176,sF177),
inference(definition_folding,[],[f67678,f68043,f68035,f68039,f68037,f68035,f68033,f68033]) ).
fof(f68045,plain,
v13_waybel_0(sF176,sK11),
inference(definition_folding,[],[f67679,f68039,f68037,f68035,f68033,f68033]) ).
fof(f68046,definition,
sF178 = k1_zfmisc_1(sF173),
introduced(definition,[new_symbols(definition,[sF178])],[function_definition]) ).
fof(f68047,plain,
k1_zfmisc_1(sF173) = sF178,
inference(reorient_equations,[],[f68046]) ).
fof(f68048,plain,
m1_subset_1(sF176,sF178),
inference(definition_folding,[],[f67680,f68047,f68033,f68039,f68037,f68035,f68033,f68033]) ).
fof(f68049,plain,
m1_subset_1(sK16,sF174),
inference(definition_folding,[],[f66868,f68035]) ).
fof(f68050,plain,
m1_subset_1(sK15,sF174),
inference(definition_folding,[],[f66867,f68035]) ).
fof(f68051,plain,
m1_subset_1(sK16,sF173),
inference(definition_folding,[],[f67681,f68033]) ).
fof(f68052,plain,
m1_subset_1(sK15,sF173),
inference(definition_folding,[],[f67682,f68033]) ).
fof(f68064,plain,
! [X2,X0,X1,X5] :
( ~ v1_lattice3(X0)
| ~ r1_orders_2(X0,X1,X5)
| ~ r1_orders_2(X0,X2,X5)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| r1_orders_2(X0,k13_lattice3(X0,X1,X2),X5)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f68026,f67645]) ).
fof(f68065,plain,
! [X2,X0,X1] :
( ~ v1_lattice3(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| r1_orders_2(X0,X2,k13_lattice3(X0,X1,X2))
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f68025,f67645]) ).
fof(f68357,definition,
( spl179_49
<=> l1_orders_2(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_49])],[avatar_definition]) ).
fof(f68359,plain,
( l1_orders_2(sK11)
| ~ spl179_49 ),
inference(avatar_component_clause,[],[f68357]) ).
fof(f68360,plain,
spl179_49,
inference(avatar_split_clause,[],[f66853,f68357]) ).
fof(f68362,definition,
( spl179_50
<=> v1_lattice3(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_50])],[avatar_definition]) ).
fof(f68364,plain,
( v1_lattice3(sK11)
| ~ spl179_50 ),
inference(avatar_component_clause,[],[f68362]) ).
fof(f68365,plain,
spl179_50,
inference(avatar_split_clause,[],[f66854,f68362]) ).
fof(f68367,definition,
( spl179_51
<=> v4_orders_2(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_51])],[avatar_definition]) ).
fof(f68369,plain,
( v4_orders_2(sK11)
| ~ spl179_51 ),
inference(avatar_component_clause,[],[f68367]) ).
fof(f68370,plain,
spl179_51,
inference(avatar_split_clause,[],[f66855,f68367]) ).
fof(f68372,definition,
( spl179_52
<=> v3_orders_2(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_52])],[avatar_definition]) ).
fof(f68374,plain,
( v3_orders_2(sK11)
| ~ spl179_52 ),
inference(avatar_component_clause,[],[f68372]) ).
fof(f68375,plain,
spl179_52,
inference(avatar_split_clause,[],[f66856,f68372]) ).
fof(f68377,definition,
( spl179_53
<=> v2_orders_2(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_53])],[avatar_definition]) ).
fof(f68379,plain,
( v2_orders_2(sK11)
| ~ spl179_53 ),
inference(avatar_component_clause,[],[f68377]) ).
fof(f68380,plain,
spl179_53,
inference(avatar_split_clause,[],[f66857,f68377]) ).
fof(f68382,definition,
( spl179_54
<=> v3_struct_0(sK11) ),
introduced(definition,[new_symbols(definition,[spl179_54])],[avatar_definition]) ).
fof(f68384,plain,
( ~ v3_struct_0(sK11)
| spl179_54 ),
inference(avatar_component_clause,[],[f68382]) ).
fof(f68385,plain,
~ spl179_54,
inference(avatar_split_clause,[],[f66858,f68382]) ).
fof(f68387,definition,
( spl179_55
<=> l1_orders_2(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_55])],[avatar_definition]) ).
fof(f68389,plain,
( l1_orders_2(sK12)
| ~ spl179_55 ),
inference(avatar_component_clause,[],[f68387]) ).
fof(f68390,plain,
spl179_55,
inference(avatar_split_clause,[],[f66859,f68387]) ).
fof(f68392,definition,
( spl179_56
<=> v1_lattice3(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_56])],[avatar_definition]) ).
fof(f68394,plain,
( v1_lattice3(sK12)
| ~ spl179_56 ),
inference(avatar_component_clause,[],[f68392]) ).
fof(f68395,plain,
spl179_56,
inference(avatar_split_clause,[],[f66860,f68392]) ).
fof(f68397,definition,
( spl179_57
<=> v4_orders_2(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_57])],[avatar_definition]) ).
fof(f68399,plain,
( v4_orders_2(sK12)
| ~ spl179_57 ),
inference(avatar_component_clause,[],[f68397]) ).
fof(f68400,plain,
spl179_57,
inference(avatar_split_clause,[],[f66861,f68397]) ).
fof(f68402,definition,
( spl179_58
<=> v3_orders_2(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_58])],[avatar_definition]) ).
fof(f68404,plain,
( v3_orders_2(sK12)
| ~ spl179_58 ),
inference(avatar_component_clause,[],[f68402]) ).
fof(f68405,plain,
spl179_58,
inference(avatar_split_clause,[],[f66862,f68402]) ).
fof(f68407,definition,
( spl179_59
<=> v2_orders_2(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_59])],[avatar_definition]) ).
fof(f68409,plain,
( v2_orders_2(sK12)
| ~ spl179_59 ),
inference(avatar_component_clause,[],[f68407]) ).
fof(f68410,plain,
spl179_59,
inference(avatar_split_clause,[],[f66863,f68407]) ).
fof(f68412,definition,
( spl179_60
<=> v3_struct_0(sK12) ),
introduced(definition,[new_symbols(definition,[spl179_60])],[avatar_definition]) ).
fof(f68414,plain,
( ~ v3_struct_0(sK12)
| spl179_60 ),
inference(avatar_component_clause,[],[f68412]) ).
fof(f68415,plain,
~ spl179_60,
inference(avatar_split_clause,[],[f66864,f68412]) ).
fof(f68417,definition,
( spl179_61
<=> m1_subset_1(sK15,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_61])],[avatar_definition]) ).
fof(f68419,plain,
( m1_subset_1(sK15,sF173)
| ~ spl179_61 ),
inference(avatar_component_clause,[],[f68417]) ).
fof(f68420,plain,
spl179_61,
inference(avatar_split_clause,[],[f68052,f68417]) ).
fof(f68422,definition,
( spl179_62
<=> m1_subset_1(sK16,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_62])],[avatar_definition]) ).
fof(f68424,plain,
( m1_subset_1(sK16,sF173)
| ~ spl179_62 ),
inference(avatar_component_clause,[],[f68422]) ).
fof(f68425,plain,
spl179_62,
inference(avatar_split_clause,[],[f68051,f68422]) ).
fof(f68427,definition,
( spl179_63
<=> m1_subset_1(sK15,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_63])],[avatar_definition]) ).
fof(f68429,plain,
( m1_subset_1(sK15,sF174)
| ~ spl179_63 ),
inference(avatar_component_clause,[],[f68427]) ).
fof(f68430,plain,
spl179_63,
inference(avatar_split_clause,[],[f68050,f68427]) ).
fof(f68432,definition,
( spl179_64
<=> m1_subset_1(sK16,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_64])],[avatar_definition]) ).
fof(f68434,plain,
( m1_subset_1(sK16,sF174)
| ~ spl179_64 ),
inference(avatar_component_clause,[],[f68432]) ).
fof(f68435,plain,
spl179_64,
inference(avatar_split_clause,[],[f68049,f68432]) ).
fof(f68437,definition,
( spl179_65
<=> r1_latsum_1(sK11,sK12) ),
introduced(definition,[new_symbols(definition,[spl179_65])],[avatar_definition]) ).
fof(f68439,plain,
( r1_latsum_1(sK11,sK12)
| ~ spl179_65 ),
inference(avatar_component_clause,[],[f68437]) ).
fof(f68440,plain,
spl179_65,
inference(avatar_split_clause,[],[f66871,f68437]) ).
fof(f68442,definition,
( spl179_66
<=> m1_subset_1(sF176,sF178) ),
introduced(definition,[new_symbols(definition,[spl179_66])],[avatar_definition]) ).
fof(f68444,plain,
( m1_subset_1(sF176,sF178)
| ~ spl179_66 ),
inference(avatar_component_clause,[],[f68442]) ).
fof(f68445,plain,
spl179_66,
inference(avatar_split_clause,[],[f68048,f68442]) ).
fof(f68447,definition,
( spl179_67
<=> v13_waybel_0(sF176,sK11) ),
introduced(definition,[new_symbols(definition,[spl179_67])],[avatar_definition]) ).
fof(f68449,plain,
( v13_waybel_0(sF176,sK11)
| ~ spl179_67 ),
inference(avatar_component_clause,[],[f68447]) ).
fof(f68450,plain,
spl179_67,
inference(avatar_split_clause,[],[f68045,f68447]) ).
fof(f68452,definition,
( spl179_68
<=> m1_subset_1(sF176,sF177) ),
introduced(definition,[new_symbols(definition,[spl179_68])],[avatar_definition]) ).
fof(f68454,plain,
( m1_subset_1(sF176,sF177)
| ~ spl179_68 ),
inference(avatar_component_clause,[],[f68452]) ).
fof(f68455,plain,
spl179_68,
inference(avatar_split_clause,[],[f68044,f68452]) ).
fof(f68457,definition,
( spl179_69
<=> v12_waybel_0(sF176,sK12) ),
introduced(definition,[new_symbols(definition,[spl179_69])],[avatar_definition]) ).
fof(f68459,plain,
( v12_waybel_0(sF176,sK12)
| ~ spl179_69 ),
inference(avatar_component_clause,[],[f68457]) ).
fof(f68460,plain,
spl179_69,
inference(avatar_split_clause,[],[f68041,f68457]) ).
fof(f68462,definition,
( spl179_70
<=> v1_waybel_0(sF176,sK12) ),
introduced(definition,[new_symbols(definition,[spl179_70])],[avatar_definition]) ).
fof(f68464,plain,
( v1_waybel_0(sF176,sK12)
| ~ spl179_70 ),
inference(avatar_component_clause,[],[f68462]) ).
fof(f68465,plain,
spl179_70,
inference(avatar_split_clause,[],[f68040,f68462]) ).
fof(f68467,definition,
( spl179_71
<=> sF171 = sF172 ),
introduced(definition,[new_symbols(definition,[spl179_71])],[avatar_definition]) ).
fof(f68469,plain,
( sF171 != sF172
| spl179_71 ),
inference(avatar_component_clause,[],[f68467]) ).
fof(f68470,plain,
~ spl179_71,
inference(avatar_split_clause,[],[f68031,f68467]) ).
fof(f68490,definition,
( spl179_72
<=> k13_lattice3(sK12,sK15,sK16) = sF171 ),
introduced(definition,[new_symbols(definition,[spl179_72])],[avatar_definition]) ).
fof(f68492,plain,
( k13_lattice3(sK12,sK15,sK16) = sF171
| ~ spl179_72 ),
inference(avatar_component_clause,[],[f68490]) ).
fof(f68493,plain,
spl179_72,
inference(avatar_split_clause,[],[f68028,f68490]) ).
fof(f68495,definition,
( spl179_73
<=> k13_lattice3(sK11,sK15,sK16) = sF172 ),
introduced(definition,[new_symbols(definition,[spl179_73])],[avatar_definition]) ).
fof(f68497,plain,
( k13_lattice3(sK11,sK15,sK16) = sF172
| ~ spl179_73 ),
inference(avatar_component_clause,[],[f68495]) ).
fof(f68498,plain,
spl179_73,
inference(avatar_split_clause,[],[f68030,f68495]) ).
fof(f68500,definition,
( spl179_74
<=> u1_struct_0(sK11) = sF173 ),
introduced(definition,[new_symbols(definition,[spl179_74])],[avatar_definition]) ).
fof(f68502,plain,
( u1_struct_0(sK11) = sF173
| ~ spl179_74 ),
inference(avatar_component_clause,[],[f68500]) ).
fof(f68503,plain,
spl179_74,
inference(avatar_split_clause,[],[f68033,f68500]) ).
fof(f68505,definition,
( spl179_75
<=> u1_struct_0(sK12) = sF174 ),
introduced(definition,[new_symbols(definition,[spl179_75])],[avatar_definition]) ).
fof(f68507,plain,
( u1_struct_0(sK12) = sF174
| ~ spl179_75 ),
inference(avatar_component_clause,[],[f68505]) ).
fof(f68508,plain,
spl179_75,
inference(avatar_split_clause,[],[f68035,f68505]) ).
fof(f68510,definition,
( spl179_76
<=> k4_xboole_0(sF173,sF174) = sF175 ),
introduced(definition,[new_symbols(definition,[spl179_76])],[avatar_definition]) ).
fof(f68512,plain,
( k4_xboole_0(sF173,sF174) = sF175
| ~ spl179_76 ),
inference(avatar_component_clause,[],[f68510]) ).
fof(f68513,plain,
spl179_76,
inference(avatar_split_clause,[],[f68037,f68510]) ).
fof(f68515,definition,
( spl179_77
<=> k4_xboole_0(sF173,sF175) = sF176 ),
introduced(definition,[new_symbols(definition,[spl179_77])],[avatar_definition]) ).
fof(f68517,plain,
( k4_xboole_0(sF173,sF175) = sF176
| ~ spl179_77 ),
inference(avatar_component_clause,[],[f68515]) ).
fof(f68518,plain,
spl179_77,
inference(avatar_split_clause,[],[f68039,f68515]) ).
fof(f68520,definition,
( spl179_78
<=> k1_zfmisc_1(sF174) = sF177 ),
introduced(definition,[new_symbols(definition,[spl179_78])],[avatar_definition]) ).
fof(f68522,plain,
( k1_zfmisc_1(sF174) = sF177
| ~ spl179_78 ),
inference(avatar_component_clause,[],[f68520]) ).
fof(f68523,plain,
spl179_78,
inference(avatar_split_clause,[],[f68043,f68520]) ).
fof(f68525,definition,
( spl179_79
<=> k1_zfmisc_1(sF173) = sF178 ),
introduced(definition,[new_symbols(definition,[spl179_79])],[avatar_definition]) ).
fof(f68527,plain,
( k1_zfmisc_1(sF173) = sF178
| ~ spl179_79 ),
inference(avatar_component_clause,[],[f68525]) ).
fof(f68528,plain,
spl179_79,
inference(avatar_split_clause,[],[f68047,f68525]) ).
fof(f68609,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ v1_waybel_0(sF176,sK12)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ v4_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_69 ),
inference(resolution,[],[f68459,f67628]) ).
fof(f68610,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ v1_waybel_0(sF176,sK12)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ v4_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_69 ),
inference(forward_subsumption_resolution,[],[f68609,f66926]) ).
fof(f68611,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| ~ v1_waybel_0(sF176,sK12)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ v4_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_69 ),
inference(forward_subsumption_resolution,[],[f68610,f66926]) ).
fof(f68612,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ v4_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_69
| ~ spl179_70 ),
inference(forward_subsumption_resolution,[],[f68611,f68464]) ).
fof(f68613,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_57
| ~ spl179_69
| ~ spl179_70 ),
inference(forward_subsumption_resolution,[],[f68612,f68399]) ).
fof(f68614,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12)))
| ~ l1_orders_2(sK12) )
| ~ spl179_56
| ~ spl179_57
| ~ spl179_69
| ~ spl179_70 ),
inference(forward_subsumption_resolution,[],[f68613,f68394]) ).
fof(f68615,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176)
| ~ m1_subset_1(sF176,k1_zfmisc_1(u1_struct_0(sK12))) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_69
| ~ spl179_70 ),
inference(forward_subsumption_resolution,[],[f68614,f68389]) ).
fof(f68616,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF176,k1_zfmisc_1(sF174))
| ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_69
| ~ spl179_70
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68615,f68507]) ).
fof(f68617,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF176,sF177)
| ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_69
| ~ spl179_70
| ~ spl179_75
| ~ spl179_78 ),
inference(forward_demodulation,[],[f68616,f68522]) ).
fof(f68618,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF176)
| ~ r2_hidden(X1,sF176)
| r2_hidden(k13_lattice3(sK12,X0,X1),sF176) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_75
| ~ spl179_78 ),
inference(forward_subsumption_resolution,[],[f68617,f68454]) ).
fof(f68619,plain,
( ! [X0,X1] :
( ~ v4_orders_2(sK11)
| k13_lattice3(sK11,X0,X1) = k13_lattice3(sK11,X1,X0)
| ~ l1_orders_2(sK11)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_50 ),
inference(resolution,[],[f67644,f68364]) ).
fof(f68620,plain,
( ! [X0,X1] :
( ~ v4_orders_2(sK12)
| k13_lattice3(sK12,X0,X1) = k13_lattice3(sK12,X1,X0)
| ~ l1_orders_2(sK12)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_56 ),
inference(resolution,[],[f67644,f68394]) ).
fof(f68621,plain,
( ! [X0,X1] :
( k13_lattice3(sK12,X0,X1) = k13_lattice3(sK12,X1,X0)
| ~ l1_orders_2(sK12)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f68620,f68399]) ).
fof(f68622,plain,
( ! [X0,X1] :
( k13_lattice3(sK11,X0,X1) = k13_lattice3(sK11,X1,X0)
| ~ l1_orders_2(sK11)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f68619,f68369]) ).
fof(f68623,plain,
( ! [X0,X1] :
( k13_lattice3(sK12,X0,X1) = k13_lattice3(sK12,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f68621,f68389]) ).
fof(f68624,plain,
( ! [X0,X1] :
( k13_lattice3(sK11,X0,X1) = k13_lattice3(sK11,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f68622,f68359]) ).
fof(f68625,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| k13_lattice3(sK12,X0,X1) = k13_lattice3(sK12,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68623,f68507]) ).
fof(f68626,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF173)
| k13_lattice3(sK11,X0,X1) = k13_lattice3(sK11,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68624,f68502]) ).
fof(f68627,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ m1_subset_1(X0,sF174)
| k13_lattice3(sK12,X0,X1) = k13_lattice3(sK12,X1,X0) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68625,f68507]) ).
fof(f68628,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF173)
| k13_lattice3(sK11,X0,X1) = k13_lattice3(sK11,X1,X0) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68626,f68502]) ).
fof(f68630,plain,
( k13_lattice3(sK12,sK15,sK16) = k13_lattice3(sK12,sK16,sK15)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75 ),
inference(unit_resulting_resolution,[],[f68627,f68429,f68434]) ).
fof(f68635,plain,
( sF171 = k13_lattice3(sK12,sK16,sK15)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68630,f68492]) ).
fof(f68638,definition,
( spl179_84
<=> sF171 = k13_lattice3(sK12,sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl179_84])],[avatar_definition]) ).
fof(f68640,plain,
( sF171 = k13_lattice3(sK12,sK16,sK15)
| ~ spl179_84 ),
inference(avatar_component_clause,[],[f68638]) ).
fof(f68641,plain,
( spl179_84
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(avatar_split_clause,[],[f68635,f68505,f68490,f68432,f68427,f68397,f68392,f68387,f68638]) ).
fof(f68655,plain,
( k13_lattice3(sK11,sK15,sK16) = k13_lattice3(sK11,sK16,sK15)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74 ),
inference(unit_resulting_resolution,[],[f68628,f68419,f68424]) ).
fof(f68660,plain,
( sF172 = k13_lattice3(sK11,sK16,sK15)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68655,f68497]) ).
fof(f68663,definition,
( spl179_85
<=> sF172 = k13_lattice3(sK11,sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl179_85])],[avatar_definition]) ).
fof(f68665,plain,
( sF172 = k13_lattice3(sK11,sK16,sK15)
| ~ spl179_85 ),
inference(avatar_component_clause,[],[f68663]) ).
fof(f68666,plain,
( spl179_85
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(avatar_split_clause,[],[f68660,f68500,f68495,f68422,f68417,f68367,f68362,f68357,f68663]) ).
fof(f68679,plain,
( ! [X0,X1] :
( ~ v4_orders_2(sK11)
| m1_subset_1(k13_lattice3(sK11,X0,X1),u1_struct_0(sK11))
| ~ l1_orders_2(sK11)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_50 ),
inference(resolution,[],[f67645,f68364]) ).
fof(f68680,plain,
( ! [X0,X1] :
( ~ v4_orders_2(sK12)
| m1_subset_1(k13_lattice3(sK12,X0,X1),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_56 ),
inference(resolution,[],[f67645,f68394]) ).
fof(f68681,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK12,X0,X1),u1_struct_0(sK12))
| ~ l1_orders_2(sK12)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f68680,f68399]) ).
fof(f68682,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK11,X0,X1),u1_struct_0(sK11))
| ~ l1_orders_2(sK11)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f68679,f68369]) ).
fof(f68683,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK12,X0,X1),u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f68681,f68389]) ).
fof(f68684,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK11,X0,X1),u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f68682,f68359]) ).
fof(f68685,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK12,X0,X1),sF174)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68683,f68507]) ).
fof(f68686,plain,
( ! [X0,X1] :
( m1_subset_1(k13_lattice3(sK11,X0,X1),sF173)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68684,f68502]) ).
fof(f68687,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| m1_subset_1(k13_lattice3(sK12,X0,X1),sF174)
| ~ m1_subset_1(X1,u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68685,f68507]) ).
fof(f68688,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF173)
| m1_subset_1(k13_lattice3(sK11,X0,X1),sF173)
| ~ m1_subset_1(X1,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68686,f68502]) ).
fof(f68689,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ m1_subset_1(X0,sF174)
| m1_subset_1(k13_lattice3(sK12,X0,X1),sF174) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68687,f68507]) ).
fof(f68690,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF173)
| m1_subset_1(k13_lattice3(sK11,X0,X1),sF173) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68688,f68502]) ).
fof(f68693,plain,
( m1_subset_1(k13_lattice3(sK11,sK15,sK16),sF173)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74 ),
inference(unit_resulting_resolution,[],[f68690,f68424,f68419]) ).
fof(f68703,plain,
( m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(forward_demodulation,[],[f68693,f68497]) ).
fof(f68710,definition,
( spl179_88
<=> m1_subset_1(sF172,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_88])],[avatar_definition]) ).
fof(f68712,plain,
( m1_subset_1(sF172,sF173)
| ~ spl179_88 ),
inference(avatar_component_clause,[],[f68710]) ).
fof(f68714,plain,
( spl179_88
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(avatar_split_clause,[],[f68703,f68500,f68495,f68422,f68417,f68367,f68362,f68357,f68710]) ).
fof(f68792,plain,
( m1_subset_1(k13_lattice3(sK12,sK15,sK16),sF174)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75 ),
inference(unit_resulting_resolution,[],[f68689,f68434,f68429]) ).
fof(f68802,plain,
( m1_subset_1(sF171,sF174)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(forward_demodulation,[],[f68792,f68492]) ).
fof(f68809,definition,
( spl179_98
<=> m1_subset_1(sF171,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_98])],[avatar_definition]) ).
fof(f68811,plain,
( m1_subset_1(sF171,sF174)
| ~ spl179_98 ),
inference(avatar_component_clause,[],[f68809]) ).
fof(f68813,plain,
( spl179_98
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(avatar_split_clause,[],[f68802,f68505,f68490,f68432,f68427,f68397,f68392,f68387,f68809]) ).
fof(f69245,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ v4_orders_2(sK11)
| r1_orders_2(sK11,X0,k13_lattice3(sK11,X1,X0))
| ~ l1_orders_2(sK11) )
| ~ spl179_50 ),
inference(resolution,[],[f68065,f68364]) ).
fof(f69246,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ v4_orders_2(sK12)
| r1_orders_2(sK12,X0,k13_lattice3(sK12,X1,X0))
| ~ l1_orders_2(sK12) )
| ~ spl179_56 ),
inference(resolution,[],[f68065,f68394]) ).
fof(f69247,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| r1_orders_2(sK12,X0,k13_lattice3(sK12,X1,X0))
| ~ l1_orders_2(sK12) )
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f69246,f68399]) ).
fof(f69248,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| r1_orders_2(sK11,X0,k13_lattice3(sK11,X1,X0))
| ~ l1_orders_2(sK11) )
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f69245,f68369]) ).
fof(f69249,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| r1_orders_2(sK12,X0,k13_lattice3(sK12,X1,X0)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f69247,f68389]) ).
fof(f69250,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| r1_orders_2(sK11,X0,k13_lattice3(sK11,X1,X0)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f69248,f68359]) ).
fof(f69251,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| r1_orders_2(sK12,X0,k13_lattice3(sK12,X1,X0)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f69249,f68507]) ).
fof(f69252,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF173)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| r1_orders_2(sK11,X0,k13_lattice3(sK11,X1,X0)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f69250,f68502]) ).
fof(f69253,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ m1_subset_1(X0,sF174)
| r1_orders_2(sK12,X0,k13_lattice3(sK12,X1,X0)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f69251,f68507]) ).
fof(f69254,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF173)
| r1_orders_2(sK11,X0,k13_lattice3(sK11,X1,X0)) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f69252,f68502]) ).
fof(f69300,plain,
( r1_orders_2(sK12,sK15,k13_lattice3(sK12,sK16,sK15))
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75 ),
inference(unit_resulting_resolution,[],[f69253,f68434,f68429]) ).
fof(f69304,plain,
( r1_orders_2(sK12,sK16,k13_lattice3(sK12,sK15,sK16))
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75 ),
inference(unit_resulting_resolution,[],[f69253,f68429,f68434]) ).
fof(f69370,plain,
( r1_orders_2(sK12,sK15,sF171)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75
| ~ spl179_84 ),
inference(forward_demodulation,[],[f69300,f68640]) ).
fof(f69374,plain,
( r1_orders_2(sK12,sK16,sF171)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(forward_demodulation,[],[f69304,f68492]) ).
fof(f69414,definition,
( spl179_169
<=> r1_orders_2(sK12,sK15,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_169])],[avatar_definition]) ).
fof(f69416,plain,
( r1_orders_2(sK12,sK15,sF171)
| ~ spl179_169 ),
inference(avatar_component_clause,[],[f69414]) ).
fof(f69417,plain,
( spl179_169
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75
| ~ spl179_84 ),
inference(avatar_split_clause,[],[f69370,f68638,f68505,f68432,f68427,f68397,f68392,f68387,f69414]) ).
fof(f69434,definition,
( spl179_173
<=> r1_orders_2(sK12,sK16,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_173])],[avatar_definition]) ).
fof(f69436,plain,
( r1_orders_2(sK12,sK16,sF171)
| ~ spl179_173 ),
inference(avatar_component_clause,[],[f69434]) ).
fof(f69437,plain,
( spl179_173
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75 ),
inference(avatar_split_clause,[],[f69374,f68505,f68490,f68432,f68427,f68397,f68392,f68387,f69434]) ).
fof(f69605,plain,
( r1_orders_2(sK11,sK15,k13_lattice3(sK11,sK16,sK15))
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74 ),
inference(unit_resulting_resolution,[],[f69254,f68424,f68419]) ).
fof(f69609,plain,
( r1_orders_2(sK11,sK16,k13_lattice3(sK11,sK15,sK16))
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74 ),
inference(unit_resulting_resolution,[],[f69254,f68419,f68424]) ).
fof(f69675,plain,
( r1_orders_2(sK11,sK15,sF172)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74
| ~ spl179_85 ),
inference(forward_demodulation,[],[f69605,f68665]) ).
fof(f69679,plain,
( r1_orders_2(sK11,sK16,sF172)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(forward_demodulation,[],[f69609,f68497]) ).
fof(f69719,definition,
( spl179_198
<=> r1_orders_2(sK11,sK15,sF172) ),
introduced(definition,[new_symbols(definition,[spl179_198])],[avatar_definition]) ).
fof(f69721,plain,
( r1_orders_2(sK11,sK15,sF172)
| ~ spl179_198 ),
inference(avatar_component_clause,[],[f69719]) ).
fof(f69722,plain,
( spl179_198
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74
| ~ spl179_85 ),
inference(avatar_split_clause,[],[f69675,f68663,f68500,f68422,f68417,f68367,f68362,f68357,f69719]) ).
fof(f69739,definition,
( spl179_202
<=> r1_orders_2(sK11,sK16,sF172) ),
introduced(definition,[new_symbols(definition,[spl179_202])],[avatar_definition]) ).
fof(f69741,plain,
( r1_orders_2(sK11,sK16,sF172)
| ~ spl179_202 ),
inference(avatar_component_clause,[],[f69739]) ).
fof(f69742,plain,
( spl179_202
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74 ),
inference(avatar_split_clause,[],[f69679,f68500,f68495,f68422,f68417,f68367,f68362,f68357,f69739]) ).
fof(f70033,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X2,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ v4_orders_2(sK11)
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1)
| ~ l1_orders_2(sK11) )
| ~ spl179_50 ),
inference(resolution,[],[f68064,f68364]) ).
fof(f70034,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X2,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ v4_orders_2(sK12)
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1)
| ~ l1_orders_2(sK12) )
| ~ spl179_56 ),
inference(resolution,[],[f68064,f68394]) ).
fof(f70035,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X2,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1)
| ~ l1_orders_2(sK12) )
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f70034,f68399]) ).
fof(f70036,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X2,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1)
| ~ l1_orders_2(sK11) )
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f70033,f68369]) ).
fof(f70037,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X2,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57 ),
inference(forward_subsumption_resolution,[],[f70035,f68389]) ).
fof(f70038,plain,
( ! [X2,X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X2,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51 ),
inference(forward_subsumption_resolution,[],[f70036,f68359]) ).
fof(f70039,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70037,f68507]) ).
fof(f70040,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f70038,f68502]) ).
fof(f70041,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70039,f68507]) ).
fof(f70042,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,sF173)
| ~ m1_subset_1(X1,sF173)
| ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f70040,f68502]) ).
fof(f70043,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X2,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| ~ r1_orders_2(sK12,X2,X1)
| r1_orders_2(sK12,k13_lattice3(sK12,X0,X2),X1) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70041,f68507]) ).
fof(f70044,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF173)
| ~ m1_subset_1(X2,sF173)
| ~ m1_subset_1(X1,sF173)
| ~ r1_orders_2(sK11,X0,X1)
| ~ r1_orders_2(sK11,X2,X1)
| r1_orders_2(sK11,k13_lattice3(sK11,X0,X2),X1) )
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_74 ),
inference(forward_demodulation,[],[f70042,f68502]) ).
fof(f70077,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ v3_orders_2(sK11)
| ~ v3_orders_2(sK12)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_65 ),
inference(resolution,[],[f67961,f68439]) ).
fof(f70078,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ v3_orders_2(sK12)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70077,f68374]) ).
fof(f70079,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_58
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70078,f68404]) ).
fof(f70080,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70079,f68414]) ).
fof(f70081,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70080,f68389]) ).
fof(f70082,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70081,f68384]) ).
fof(f70083,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70082,f68359]) ).
fof(f70084,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70083,f68507]) ).
fof(f70085,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70084,f68507]) ).
fof(f70086,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70085,f68502]) ).
fof(f70087,plain,
( ! [X0,X1] :
( r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X0,sF173) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70086,f68502]) ).
fof(f70108,definition,
( spl179_228
<=> m1_subset_1(sF172,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_228])],[avatar_definition]) ).
fof(f70109,plain,
( m1_subset_1(sF172,sF174)
| ~ spl179_228 ),
inference(avatar_component_clause,[],[f70108]) ).
fof(f70110,plain,
( ~ m1_subset_1(sF172,sF174)
| spl179_228 ),
inference(avatar_component_clause,[],[f70108]) ).
fof(f70123,definition,
( spl179_230
<=> m1_subset_1(sF171,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_230])],[avatar_definition]) ).
fof(f70124,plain,
( m1_subset_1(sF171,sF173)
| ~ spl179_230 ),
inference(avatar_component_clause,[],[f70123]) ).
fof(f70125,plain,
( ~ m1_subset_1(sF171,sF173)
| spl179_230 ),
inference(avatar_component_clause,[],[f70123]) ).
fof(f70151,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ v3_orders_2(sK11)
| ~ v3_orders_2(sK12)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_65 ),
inference(resolution,[],[f67963,f68439]) ).
fof(f70152,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ v3_orders_2(sK12)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70151,f68374]) ).
fof(f70153,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK12)
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_58
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70152,f68404]) ).
fof(f70154,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ l1_orders_2(sK12)
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70153,f68414]) ).
fof(f70155,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| v3_struct_0(sK11)
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70154,f68389]) ).
fof(f70156,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ l1_orders_2(sK11) )
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70155,f68384]) ).
fof(f70157,plain,
( ! [X0,X1] :
( ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK12))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65 ),
inference(forward_subsumption_resolution,[],[f70156,f68359]) ).
fof(f70158,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70157,f68507]) ).
fof(f70159,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK11))
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70158,f68507]) ).
fof(f70160,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK11,X0,X1)
| r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK11)) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70159,f68502]) ).
fof(f70161,plain,
( ! [X0,X1] :
( r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X1,sF173)
| ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK11,X0,X1)
| ~ m1_subset_1(X0,sF173) )
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70160,f68502]) ).
fof(f70270,plain,
( ! [X0,X1] :
( r1_orders_2(sK12,k13_lattice3(sK12,sK15,X0),X1)
| ~ m1_subset_1(X1,sF174)
| ~ r1_orders_2(sK12,sK15,X1)
| ~ r1_orders_2(sK12,X0,X1)
| ~ m1_subset_1(X0,sF174) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(resolution,[],[f70043,f68429]) ).
fof(f70334,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),u1_struct_0(sK12))
| ~ v4_orders_2(sK12)
| ~ l1_orders_2(sK12) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(resolution,[],[f70270,f67525]) ).
fof(f70338,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),u1_struct_0(sK12))
| ~ l1_orders_2(sK12) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f70334,f68399]) ).
fof(f70342,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK12))
| ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f70338,f68389]) ).
fof(f70343,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1))
| ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70342,f68507]) ).
fof(f70344,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1))
| ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),u1_struct_0(sK12)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(duplicate_literal_removal,[],[f70343]) ).
fof(f70345,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k13_lattice3(sK12,sK15,X1),sF174)
| ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,X1,X0)
| ~ m1_subset_1(X1,sF174)
| k13_lattice3(sK12,sK15,X1) = X0
| ~ r1_orders_2(sK12,X0,k13_lattice3(sK12,sK15,X1)) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_75 ),
inference(forward_demodulation,[],[f70344,f68507]) ).
fof(f70352,plain,
( ! [X0] : k4_xboole_0(sF173,k4_xboole_0(X0,sF174)) = k2_xboole_0(k4_xboole_0(sF173,X0),k4_xboole_0(sF173,sF175))
| ~ spl179_76 ),
inference(superposition,[],[f67715,f68512]) ).
fof(f70359,plain,
! [X2,X0,X1] : k4_xboole_0(X1,k4_xboole_0(X2,X0)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[],[f67715,f67930]) ).
fof(f70360,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(k4_xboole_0(X0,X1),X0),
inference(superposition,[],[f67715,f67929]) ).
fof(f70362,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(forward_demodulation,[],[f70360,f67018]) ).
fof(f70363,plain,
( ! [X0] : k4_xboole_0(sF173,k4_xboole_0(X0,sF174)) = k2_xboole_0(k4_xboole_0(sF173,X0),sF176)
| ~ spl179_76
| ~ spl179_77 ),
inference(forward_demodulation,[],[f70352,f68517]) ).
fof(f70368,plain,
( ! [X0] : k4_xboole_0(sF173,k4_xboole_0(X0,sF174)) = k2_xboole_0(sF176,k4_xboole_0(sF173,X0))
| ~ spl179_76
| ~ spl179_77 ),
inference(forward_demodulation,[],[f70363,f67018]) ).
fof(f70370,plain,
( k4_xboole_0(sF173,sF175) = k2_xboole_0(sF176,k4_xboole_0(sF173,sF173))
| ~ spl179_76
| ~ spl179_77 ),
inference(superposition,[],[f70368,f68512]) ).
fof(f70376,plain,
( sF176 = k2_xboole_0(sF176,k4_xboole_0(sF173,sF173))
| ~ spl179_76
| ~ spl179_77 ),
inference(forward_demodulation,[],[f70370,f68517]) ).
fof(f70379,definition,
( spl179_238
<=> sF176 = k2_xboole_0(sF176,k4_xboole_0(sF173,sF173)) ),
introduced(definition,[new_symbols(definition,[spl179_238])],[avatar_definition]) ).
fof(f70381,plain,
( sF176 = k2_xboole_0(sF176,k4_xboole_0(sF173,sF173))
| ~ spl179_238 ),
inference(avatar_component_clause,[],[f70379]) ).
fof(f70382,plain,
( spl179_238
| ~ spl179_76
| ~ spl179_77 ),
inference(avatar_split_clause,[],[f70376,f68515,f68510,f70379]) ).
fof(f71673,plain,
( ~ v1_xboole_0(sF173)
| v3_struct_0(sK11)
| ~ v2_orders_2(sK11)
| ~ v3_orders_2(sK11)
| ~ v1_lattice3(sK11)
| ~ l1_orders_2(sK11)
| ~ spl179_74 ),
inference(superposition,[],[f67563,f68502]) ).
fof(f71674,plain,
( ~ v1_xboole_0(sF174)
| v3_struct_0(sK12)
| ~ v2_orders_2(sK12)
| ~ v3_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12)
| ~ spl179_75 ),
inference(superposition,[],[f67563,f68507]) ).
fof(f71675,plain,
( ~ v1_xboole_0(sF174)
| ~ v2_orders_2(sK12)
| ~ v3_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12)
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f71674,f67532]) ).
fof(f71676,plain,
( ~ v1_xboole_0(sF173)
| ~ v2_orders_2(sK11)
| ~ v3_orders_2(sK11)
| ~ v1_lattice3(sK11)
| ~ l1_orders_2(sK11)
| ~ spl179_74 ),
inference(forward_subsumption_resolution,[],[f71673,f67532]) ).
fof(f71679,plain,
( ~ v1_xboole_0(sF174)
| ~ v3_orders_2(sK12)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12)
| ~ spl179_59
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f71675,f68409]) ).
fof(f71680,plain,
( ~ v1_xboole_0(sF173)
| ~ v3_orders_2(sK11)
| ~ v1_lattice3(sK11)
| ~ l1_orders_2(sK11)
| ~ spl179_53
| ~ spl179_74 ),
inference(forward_subsumption_resolution,[],[f71676,f68379]) ).
fof(f71682,definition,
( spl179_253
<=> v1_xboole_0(sF174) ),
introduced(definition,[new_symbols(definition,[spl179_253])],[avatar_definition]) ).
fof(f71684,plain,
( ~ v1_xboole_0(sF174)
| spl179_253 ),
inference(avatar_component_clause,[],[f71682]) ).
fof(f71687,definition,
( spl179_254
<=> v1_xboole_0(sF173) ),
introduced(definition,[new_symbols(definition,[spl179_254])],[avatar_definition]) ).
fof(f71689,plain,
( ~ v1_xboole_0(sF173)
| spl179_254 ),
inference(avatar_component_clause,[],[f71687]) ).
fof(f71691,plain,
( ~ v1_xboole_0(sF174)
| ~ v1_lattice3(sK12)
| ~ l1_orders_2(sK12)
| ~ spl179_58
| ~ spl179_59
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f71679,f68404]) ).
fof(f71692,plain,
( ~ v1_xboole_0(sF173)
| ~ v1_lattice3(sK11)
| ~ l1_orders_2(sK11)
| ~ spl179_52
| ~ spl179_53
| ~ spl179_74 ),
inference(forward_subsumption_resolution,[],[f71680,f68374]) ).
fof(f71693,plain,
( ~ v1_xboole_0(sF174)
| ~ l1_orders_2(sK12)
| ~ spl179_56
| ~ spl179_58
| ~ spl179_59
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f71691,f68394]) ).
fof(f71694,plain,
( ~ v1_xboole_0(sF173)
| ~ l1_orders_2(sK11)
| ~ spl179_50
| ~ spl179_52
| ~ spl179_53
| ~ spl179_74 ),
inference(forward_subsumption_resolution,[],[f71692,f68364]) ).
fof(f71695,plain,
( ~ v1_xboole_0(sF174)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_58
| ~ spl179_59
| ~ spl179_75 ),
inference(forward_subsumption_resolution,[],[f71693,f68389]) ).
fof(f71696,plain,
( ~ v1_xboole_0(sF173)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_52
| ~ spl179_53
| ~ spl179_74 ),
inference(forward_subsumption_resolution,[],[f71694,f68359]) ).
fof(f71697,plain,
( ~ spl179_253
| ~ spl179_55
| ~ spl179_56
| ~ spl179_58
| ~ spl179_59
| ~ spl179_75 ),
inference(avatar_split_clause,[],[f71695,f68505,f68407,f68402,f68392,f68387,f71682]) ).
fof(f71698,plain,
( ~ spl179_254
| ~ spl179_49
| ~ spl179_50
| ~ spl179_52
| ~ spl179_53
| ~ spl179_74 ),
inference(avatar_split_clause,[],[f71696,f68500,f68377,f68372,f68362,f68357,f71687]) ).
fof(f71701,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X1,X0)) = X1,
inference(superposition,[],[f67716,f67930]) ).
fof(f71724,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = X1,
inference(forward_demodulation,[],[f71701,f67018]) ).
fof(f71737,plain,
! [X0,X1] : k4_xboole_0(X1,k4_xboole_0(X0,X0)) = X1,
inference(forward_demodulation,[],[f71724,f70359]) ).
fof(f72033,plain,
( r2_hidden(sK15,sF173)
| ~ spl179_61
| spl179_254 ),
inference(unit_resulting_resolution,[],[f66939,f68419,f71689]) ).
fof(f72034,plain,
( r2_hidden(sK16,sF173)
| ~ spl179_62
| spl179_254 ),
inference(unit_resulting_resolution,[],[f66939,f68424,f71689]) ).
fof(f72038,plain,
( r2_hidden(sK15,sF174)
| ~ spl179_63
| spl179_253 ),
inference(unit_resulting_resolution,[],[f66939,f68429,f71684]) ).
fof(f72039,plain,
( r2_hidden(sK16,sF174)
| ~ spl179_64
| spl179_253 ),
inference(unit_resulting_resolution,[],[f66939,f68434,f71684]) ).
fof(f72048,definition,
( spl179_266
<=> r2_hidden(sK15,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_266])],[avatar_definition]) ).
fof(f72050,plain,
( r2_hidden(sK15,sF173)
| ~ spl179_266 ),
inference(avatar_component_clause,[],[f72048]) ).
fof(f72051,plain,
( spl179_266
| ~ spl179_61
| spl179_254 ),
inference(avatar_split_clause,[],[f72033,f71687,f68417,f72048]) ).
fof(f72053,definition,
( spl179_267
<=> r2_hidden(sK16,sF173) ),
introduced(definition,[new_symbols(definition,[spl179_267])],[avatar_definition]) ).
fof(f72055,plain,
( r2_hidden(sK16,sF173)
| ~ spl179_267 ),
inference(avatar_component_clause,[],[f72053]) ).
fof(f72056,plain,
( spl179_267
| ~ spl179_62
| spl179_254 ),
inference(avatar_split_clause,[],[f72034,f71687,f68422,f72053]) ).
fof(f72065,definition,
( spl179_269
<=> r2_hidden(sK15,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_269])],[avatar_definition]) ).
fof(f72067,plain,
( r2_hidden(sK15,sF174)
| ~ spl179_269 ),
inference(avatar_component_clause,[],[f72065]) ).
fof(f72068,plain,
( spl179_269
| ~ spl179_63
| spl179_253 ),
inference(avatar_split_clause,[],[f72038,f71682,f68427,f72065]) ).
fof(f72070,definition,
( spl179_270
<=> r2_hidden(sK16,sF174) ),
introduced(definition,[new_symbols(definition,[spl179_270])],[avatar_definition]) ).
fof(f72072,plain,
( r2_hidden(sK16,sF174)
| ~ spl179_270 ),
inference(avatar_component_clause,[],[f72070]) ).
fof(f72073,plain,
( spl179_270
| ~ spl179_64
| spl179_253 ),
inference(avatar_split_clause,[],[f72039,f71682,f68432,f72070]) ).
fof(f72602,plain,
! [X0,X1] : k4_xboole_0(X1,k4_xboole_0(X0,X0)) = k2_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X1,k4_xboole_0(X0,X0))),
inference(superposition,[],[f67713,f67929]) ).
fof(f72646,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X1,X0),X1) = X1,
inference(forward_demodulation,[],[f72602,f71737]) ).
fof(f72672,plain,
! [X0,X1] : k2_xboole_0(X1,k4_xboole_0(X1,X0)) = X1,
inference(forward_demodulation,[],[f72646,f67018]) ).
fof(f72705,plain,
( ! [X0] :
( ~ m1_subset_1(sF171,sF174)
| ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,sK16,X0)
| ~ m1_subset_1(sK16,sF174)
| sF171 = X0
| ~ r1_orders_2(sK12,X0,sF171) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_72
| ~ spl179_75 ),
inference(superposition,[],[f70345,f68492]) ).
fof(f72711,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,sK16,X0)
| ~ m1_subset_1(sK16,sF174)
| sF171 = X0
| ~ r1_orders_2(sK12,X0,sF171) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98 ),
inference(forward_subsumption_resolution,[],[f72705,f68811]) ).
fof(f72714,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF174)
| ~ r1_orders_2(sK12,sK15,X0)
| ~ r1_orders_2(sK12,sK16,X0)
| sF171 = X0
| ~ r1_orders_2(sK12,X0,sF171) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98 ),
inference(forward_subsumption_resolution,[],[f72711,f68434]) ).
fof(f76522,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,X2))
| m1_subset_1(X0,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(resolution,[],[f67982,f66926]) ).
fof(f76523,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_orders_2(X4)
| r2_hidden(X3,X1)
| ~ r1_orders_2(X4,X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X0,u1_struct_0(X4))
| ~ v13_waybel_0(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X4)))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(resolution,[],[f67982,f67652]) ).
fof(f77824,plain,
( r1_orders_2(sK12,sK15,sF172)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_198
| ~ spl179_228 ),
inference(unit_resulting_resolution,[],[f70161,f68419,f68429,f69721,f68712,f70109]) ).
fof(f77825,plain,
( r1_orders_2(sK12,sK16,sF172)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_202
| ~ spl179_228 ),
inference(unit_resulting_resolution,[],[f70161,f68424,f68434,f69741,f68712,f70109]) ).
fof(f77887,plain,
( ~ r1_orders_2(sK12,sK15,sF172)
| ~ r1_orders_2(sK12,sK16,sF172)
| sF171 = sF172
| ~ r1_orders_2(sK12,sF172,sF171)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228 ),
inference(resolution,[],[f70109,f72714]) ).
fof(f77902,plain,
( ~ r1_orders_2(sK12,sK15,sF172)
| ~ r1_orders_2(sK12,sK16,sF172)
| ~ r1_orders_2(sK12,sF172,sF171)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| spl179_71
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228 ),
inference(forward_subsumption_resolution,[],[f77887,f68469]) ).
fof(f77904,definition,
( spl179_329
<=> r1_orders_2(sK12,sK15,sF172) ),
introduced(definition,[new_symbols(definition,[spl179_329])],[avatar_definition]) ).
fof(f77912,definition,
( spl179_331
<=> r1_orders_2(sK12,sK16,sF172) ),
introduced(definition,[new_symbols(definition,[spl179_331])],[avatar_definition]) ).
fof(f78113,plain,
( spl179_329
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_198
| ~ spl179_228 ),
inference(avatar_split_clause,[],[f77824,f70108,f69719,f68710,f68505,f68500,f68437,f68427,f68417,f68412,f68402,f68387,f68382,f68372,f68357,f77904]) ).
fof(f78114,plain,
( spl179_331
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_202
| ~ spl179_228 ),
inference(avatar_split_clause,[],[f77825,f70108,f69739,f68710,f68505,f68500,f68437,f68432,f68422,f68412,f68402,f68387,f68382,f68372,f68357,f77912]) ).
fof(f78164,definition,
( spl179_374
<=> r1_orders_2(sK12,sF172,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_374])],[avatar_definition]) ).
fof(f78166,plain,
( ~ r1_orders_2(sK12,sF172,sF171)
| spl179_374 ),
inference(avatar_component_clause,[],[f78164]) ).
fof(f78167,plain,
( ~ spl179_374
| ~ spl179_331
| ~ spl179_329
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| spl179_71
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228 ),
inference(avatar_split_clause,[],[f77902,f70108,f68809,f68505,f68490,f68467,f68432,f68427,f68397,f68392,f68387,f77904,f77912,f78164]) ).
fof(f78240,plain,
( ~ m1_subset_1(sF171,sF173)
| ~ m1_subset_1(sF172,sF174)
| ~ m1_subset_1(sF171,sF174)
| ~ r1_orders_2(sK11,sF172,sF171)
| ~ m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| spl179_374 ),
inference(resolution,[],[f78166,f70161]) ).
fof(f81233,plain,
( r2_hidden(sK15,k4_xboole_0(sF173,k4_xboole_0(sF173,sF174)))
| ~ spl179_266
| ~ spl179_269 ),
inference(unit_resulting_resolution,[],[f68015,f72067,f72050]) ).
fof(f81235,plain,
( r2_hidden(sK16,k4_xboole_0(sF173,k4_xboole_0(sF173,sF174)))
| ~ spl179_267
| ~ spl179_270 ),
inference(unit_resulting_resolution,[],[f68015,f72072,f72055]) ).
fof(f81263,plain,
( r2_hidden(sK15,k2_xboole_0(sF176,k4_xboole_0(sF173,sF173)))
| ~ spl179_76
| ~ spl179_77
| ~ spl179_266
| ~ spl179_269 ),
inference(forward_demodulation,[],[f81233,f70368]) ).
fof(f81265,plain,
( r2_hidden(sK16,k2_xboole_0(sF176,k4_xboole_0(sF173,sF173)))
| ~ spl179_76
| ~ spl179_77
| ~ spl179_267
| ~ spl179_270 ),
inference(forward_demodulation,[],[f81235,f70368]) ).
fof(f81278,plain,
( r2_hidden(sK15,sF176)
| ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_266
| ~ spl179_269 ),
inference(forward_demodulation,[],[f81263,f70381]) ).
fof(f81279,plain,
( r2_hidden(sK16,sF176)
| ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_267
| ~ spl179_270 ),
inference(forward_demodulation,[],[f81265,f70381]) ).
fof(f81285,definition,
( spl179_583
<=> r2_hidden(sK15,sF176) ),
introduced(definition,[new_symbols(definition,[spl179_583])],[avatar_definition]) ).
fof(f81287,plain,
( r2_hidden(sK15,sF176)
| ~ spl179_583 ),
inference(avatar_component_clause,[],[f81285]) ).
fof(f81288,plain,
( spl179_583
| ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_266
| ~ spl179_269 ),
inference(avatar_split_clause,[],[f81278,f72065,f72048,f70379,f68515,f68510,f81285]) ).
fof(f81290,definition,
( spl179_584
<=> r2_hidden(sK16,sF176) ),
introduced(definition,[new_symbols(definition,[spl179_584])],[avatar_definition]) ).
fof(f81292,plain,
( r2_hidden(sK16,sF176)
| ~ spl179_584 ),
inference(avatar_component_clause,[],[f81290]) ).
fof(f81293,plain,
( spl179_584
| ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_267
| ~ spl179_270 ),
inference(avatar_split_clause,[],[f81279,f72070,f72053,f70379,f68515,f68510,f81290]) ).
fof(f81311,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF176)
| r2_hidden(k13_lattice3(sK12,sK15,X0),sF176) )
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_75
| ~ spl179_78
| ~ spl179_583 ),
inference(resolution,[],[f81287,f68618]) ).
fof(f81352,plain,
( r2_hidden(k13_lattice3(sK12,sK15,sK16),sF176)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_75
| ~ spl179_78
| ~ spl179_583
| ~ spl179_584 ),
inference(resolution,[],[f81292,f81311]) ).
fof(f81365,plain,
( r2_hidden(sF171,sF176)
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_72
| ~ spl179_75
| ~ spl179_78
| ~ spl179_583
| ~ spl179_584 ),
inference(forward_demodulation,[],[f81352,f68492]) ).
fof(f81378,definition,
( spl179_587
<=> r2_hidden(sF171,sF176) ),
introduced(definition,[new_symbols(definition,[spl179_587])],[avatar_definition]) ).
fof(f81380,plain,
( r2_hidden(sF171,sF176)
| ~ spl179_587 ),
inference(avatar_component_clause,[],[f81378]) ).
fof(f81381,plain,
( spl179_587
| ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_72
| ~ spl179_75
| ~ spl179_78
| ~ spl179_583
| ~ spl179_584 ),
inference(avatar_split_clause,[],[f81365,f81290,f81285,f68520,f68505,f68490,f68462,f68457,f68452,f68397,f68392,f68387,f81378]) ).
fof(f81394,plain,
( ~ m1_subset_1(sF176,k1_zfmisc_1(sF173))
| spl179_230
| ~ spl179_587 ),
inference(unit_resulting_resolution,[],[f66926,f70125,f81380]) ).
fof(f81423,plain,
( ~ m1_subset_1(sF176,sF178)
| ~ spl179_79
| spl179_230
| ~ spl179_587 ),
inference(forward_demodulation,[],[f81394,f68527]) ).
fof(f81432,plain,
( $false
| ~ spl179_66
| ~ spl179_79
| spl179_230
| ~ spl179_587 ),
inference(forward_subsumption_resolution,[],[f81423,f68444]) ).
fof(f81433,plain,
( ~ spl179_66
| ~ spl179_79
| spl179_230
| ~ spl179_587 ),
inference(avatar_contradiction_clause,[],[f81432]) ).
fof(f81584,plain,
( r1_orders_2(sK11,sK15,sF171)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_169
| ~ spl179_230 ),
inference(unit_resulting_resolution,[],[f70087,f68419,f68429,f69416,f68811,f70124]) ).
fof(f81585,plain,
( r1_orders_2(sK11,sK16,sF171)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_173
| ~ spl179_230 ),
inference(unit_resulting_resolution,[],[f70087,f68424,f68434,f69436,f68811,f70124]) ).
fof(f81665,definition,
( spl179_592
<=> r1_orders_2(sK11,sK15,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_592])],[avatar_definition]) ).
fof(f81666,plain,
( r1_orders_2(sK11,sK15,sF171)
| ~ spl179_592 ),
inference(avatar_component_clause,[],[f81665]) ).
fof(f81673,definition,
( spl179_594
<=> r1_orders_2(sK11,sK16,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_594])],[avatar_definition]) ).
fof(f81674,plain,
( r1_orders_2(sK11,sK16,sF171)
| ~ spl179_594 ),
inference(avatar_component_clause,[],[f81673]) ).
fof(f81868,plain,
( spl179_592
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_169
| ~ spl179_230 ),
inference(avatar_split_clause,[],[f81584,f70123,f69414,f68809,f68505,f68500,f68437,f68427,f68417,f68412,f68402,f68387,f68382,f68372,f68357,f81665]) ).
fof(f81869,plain,
( spl179_594
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_173
| ~ spl179_230 ),
inference(avatar_split_clause,[],[f81585,f70123,f69434,f68809,f68505,f68500,f68437,f68432,f68422,f68412,f68402,f68387,f68382,f68372,f68357,f81673]) ).
fof(f82287,plain,
( r1_orders_2(sK11,k13_lattice3(sK11,sK15,sK16),sF171)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74
| ~ spl179_230
| ~ spl179_592
| ~ spl179_594 ),
inference(unit_resulting_resolution,[],[f70044,f68424,f68419,f81666,f70124,f81674]) ).
fof(f82342,definition,
( spl179_647
<=> r1_orders_2(sK11,sF172,sF171) ),
introduced(definition,[new_symbols(definition,[spl179_647])],[avatar_definition]) ).
fof(f82344,plain,
( r1_orders_2(sK11,sF172,sF171)
| ~ spl179_647 ),
inference(avatar_component_clause,[],[f82342]) ).
fof(f82381,plain,
( r1_orders_2(sK11,sF172,sF171)
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| ~ spl179_230
| ~ spl179_592
| ~ spl179_594 ),
inference(forward_demodulation,[],[f82287,f68497]) ).
fof(f82465,plain,
( spl179_647
| ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| ~ spl179_230
| ~ spl179_592
| ~ spl179_594 ),
inference(avatar_split_clause,[],[f82381,f81673,f81665,f70123,f68500,f68495,f68422,f68417,f68367,f68362,f68357,f82342]) ).
fof(f85216,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,X1)
| ~ r1_orders_2(sK11,X2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ m1_subset_1(X2,u1_struct_0(sK11))
| ~ v13_waybel_0(X1,sK11)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK11)))
| ~ r2_hidden(X2,k4_xboole_0(X1,X3)) )
| ~ spl179_49 ),
inference(resolution,[],[f76523,f68359]) ).
fof(f85219,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,X1)
| ~ r1_orders_2(sK11,X2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK11))
| ~ v13_waybel_0(X1,sK11)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK11)))
| ~ r2_hidden(X2,k4_xboole_0(X1,X3)) )
| ~ spl179_49 ),
inference(forward_subsumption_resolution,[],[f85216,f76522]) ).
fof(f85221,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,sF173)
| r2_hidden(X0,X1)
| ~ r1_orders_2(sK11,X2,X0)
| ~ v13_waybel_0(X1,sK11)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK11)))
| ~ r2_hidden(X2,k4_xboole_0(X1,X3)) )
| ~ spl179_49
| ~ spl179_74 ),
inference(forward_demodulation,[],[f85219,f68502]) ).
fof(f85223,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF173))
| ~ m1_subset_1(X0,sF173)
| r2_hidden(X0,X1)
| ~ r1_orders_2(sK11,X2,X0)
| ~ v13_waybel_0(X1,sK11)
| ~ r2_hidden(X2,k4_xboole_0(X1,X3)) )
| ~ spl179_49
| ~ spl179_74 ),
inference(forward_demodulation,[],[f85221,f68502]) ).
fof(f85225,plain,
( ! [X2,X3,X0,X1] :
( ~ v13_waybel_0(X1,sK11)
| ~ m1_subset_1(X0,sF173)
| r2_hidden(X0,X1)
| ~ r1_orders_2(sK11,X2,X0)
| ~ m1_subset_1(X1,sF178)
| ~ r2_hidden(X2,k4_xboole_0(X1,X3)) )
| ~ spl179_49
| ~ spl179_74
| ~ spl179_79 ),
inference(forward_demodulation,[],[f85223,f68527]) ).
fof(f85226,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF173)
| r2_hidden(X0,sF176)
| ~ r1_orders_2(sK11,X1,X0)
| ~ m1_subset_1(sF176,sF178)
| ~ r2_hidden(X1,k4_xboole_0(sF176,X2)) )
| ~ spl179_49
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79 ),
inference(resolution,[],[f85225,f68449]) ).
fof(f85228,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF173)
| r2_hidden(X0,sF176)
| ~ r1_orders_2(sK11,X1,X0)
| ~ r2_hidden(X1,k4_xboole_0(sF176,X2)) )
| ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79 ),
inference(forward_subsumption_resolution,[],[f85226,f68444]) ).
fof(f85241,definition,
( spl179_711
<=> r2_hidden(sF172,sF176) ),
introduced(definition,[new_symbols(definition,[spl179_711])],[avatar_definition]) ).
fof(f85242,plain,
( ~ r2_hidden(sF172,sF176)
| spl179_711 ),
inference(avatar_component_clause,[],[f85241]) ).
fof(f85243,plain,
( r2_hidden(sF172,sF176)
| ~ spl179_711 ),
inference(avatar_component_clause,[],[f85241]) ).
fof(f85264,plain,
( ~ m1_subset_1(sF176,k1_zfmisc_1(sF174))
| spl179_228
| ~ spl179_711 ),
inference(unit_resulting_resolution,[],[f66926,f70110,f85243]) ).
fof(f85319,plain,
( ~ m1_subset_1(sF176,sF177)
| ~ spl179_78
| spl179_228
| ~ spl179_711 ),
inference(forward_demodulation,[],[f85264,f68522]) ).
fof(f85326,plain,
( $false
| ~ spl179_68
| ~ spl179_78
| spl179_228
| ~ spl179_711 ),
inference(forward_subsumption_resolution,[],[f85319,f68454]) ).
fof(f85327,plain,
( ~ spl179_68
| ~ spl179_78
| spl179_228
| ~ spl179_711 ),
inference(avatar_contradiction_clause,[],[f85326]) ).
fof(f85339,plain,
( ! [X0] : ~ r2_hidden(sK16,k4_xboole_0(sF176,X0))
| ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| spl179_711 ),
inference(unit_resulting_resolution,[],[f85228,f69741,f68712,f85242]) ).
fof(f85380,plain,
( ! [X0] : ~ r2_hidden(sK16,k2_xboole_0(sF176,k4_xboole_0(sF176,X0)))
| ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| spl179_711 ),
inference(superposition,[],[f85339,f70362]) ).
fof(f85393,plain,
( ~ r2_hidden(sK16,sF176)
| ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| spl179_711 ),
inference(forward_demodulation,[],[f85380,f72672]) ).
fof(f85415,plain,
( $false
| ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| ~ spl179_584
| spl179_711 ),
inference(forward_subsumption_resolution,[],[f85393,f81292]) ).
fof(f85416,plain,
( ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| ~ spl179_584
| spl179_711 ),
inference(avatar_contradiction_clause,[],[f85415]) ).
fof(f85560,plain,
( ~ m1_subset_1(sF172,sF174)
| ~ m1_subset_1(sF171,sF174)
| ~ r1_orders_2(sK11,sF172,sF171)
| ~ m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_230
| spl179_374 ),
inference(forward_subsumption_resolution,[],[f78240,f70124]) ).
fof(f85674,plain,
( ~ m1_subset_1(sF171,sF174)
| ~ r1_orders_2(sK11,sF172,sF171)
| ~ m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_228
| ~ spl179_230
| spl179_374 ),
inference(forward_subsumption_resolution,[],[f85560,f70109]) ).
fof(f85706,plain,
( ~ r1_orders_2(sK11,sF172,sF171)
| ~ m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228
| ~ spl179_230
| spl179_374 ),
inference(forward_subsumption_resolution,[],[f85674,f68811]) ).
fof(f85724,plain,
( ~ m1_subset_1(sF172,sF173)
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228
| ~ spl179_230
| spl179_374
| ~ spl179_647 ),
inference(forward_subsumption_resolution,[],[f85706,f82344]) ).
fof(f85730,plain,
( $false
| ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_98
| ~ spl179_228
| ~ spl179_230
| spl179_374
| ~ spl179_647 ),
inference(forward_subsumption_resolution,[],[f85724,f68712]) ).
fof(f85731,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_98
| ~ spl179_228
| ~ spl179_230
| spl179_374
| ~ spl179_647 ),
inference(avatar_contradiction_clause,[],[f85730]) ).
cnf(s49,plain,
spl179_49,
inference(sat_conversion,[],[f68360]) ).
cnf(s50,plain,
spl179_50,
inference(sat_conversion,[],[f68365]) ).
cnf(s51,plain,
spl179_51,
inference(sat_conversion,[],[f68370]) ).
cnf(s52,plain,
spl179_52,
inference(sat_conversion,[],[f68375]) ).
cnf(s53,plain,
spl179_53,
inference(sat_conversion,[],[f68380]) ).
cnf(s54,plain,
~ spl179_54,
inference(sat_conversion,[],[f68385]) ).
cnf(s55,plain,
spl179_55,
inference(sat_conversion,[],[f68390]) ).
cnf(s56,plain,
spl179_56,
inference(sat_conversion,[],[f68395]) ).
cnf(s57,plain,
spl179_57,
inference(sat_conversion,[],[f68400]) ).
cnf(s58,plain,
spl179_58,
inference(sat_conversion,[],[f68405]) ).
cnf(s59,plain,
spl179_59,
inference(sat_conversion,[],[f68410]) ).
cnf(s60,plain,
~ spl179_60,
inference(sat_conversion,[],[f68415]) ).
cnf(s61,plain,
spl179_61,
inference(sat_conversion,[],[f68420]) ).
cnf(s62,plain,
spl179_62,
inference(sat_conversion,[],[f68425]) ).
cnf(s63,plain,
spl179_63,
inference(sat_conversion,[],[f68430]) ).
cnf(s64,plain,
spl179_64,
inference(sat_conversion,[],[f68435]) ).
cnf(s65,plain,
spl179_65,
inference(sat_conversion,[],[f68440]) ).
cnf(s66,plain,
spl179_66,
inference(sat_conversion,[],[f68445]) ).
cnf(s67,plain,
spl179_67,
inference(sat_conversion,[],[f68450]) ).
cnf(s68,plain,
spl179_68,
inference(sat_conversion,[],[f68455]) ).
cnf(s69,plain,
spl179_69,
inference(sat_conversion,[],[f68460]) ).
cnf(s70,plain,
spl179_70,
inference(sat_conversion,[],[f68465]) ).
cnf(s71,plain,
~ spl179_71,
inference(sat_conversion,[],[f68470]) ).
cnf(s72,plain,
spl179_72,
inference(sat_conversion,[],[f68493]) ).
cnf(s73,plain,
spl179_73,
inference(sat_conversion,[],[f68498]) ).
cnf(s74,plain,
spl179_74,
inference(sat_conversion,[],[f68503]) ).
cnf(s75,plain,
spl179_75,
inference(sat_conversion,[],[f68508]) ).
cnf(s76,plain,
spl179_76,
inference(sat_conversion,[],[f68513]) ).
cnf(s77,plain,
spl179_77,
inference(sat_conversion,[],[f68518]) ).
cnf(s78,plain,
spl179_78,
inference(sat_conversion,[],[f68523]) ).
cnf(s79,plain,
spl179_79,
inference(sat_conversion,[],[f68528]) ).
cnf(s84,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75
| spl179_84 ),
inference(sat_conversion,[],[f68641]) ).
cnf(s86,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| spl179_85 ),
inference(sat_conversion,[],[f68666]) ).
cnf(s91,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| spl179_88 ),
inference(sat_conversion,[],[f68714]) ).
cnf(s109,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75
| spl179_98 ),
inference(sat_conversion,[],[f68813]) ).
cnf(s237,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_75
| ~ spl179_84
| spl179_169 ),
inference(sat_conversion,[],[f69417]) ).
cnf(s241,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| ~ spl179_72
| ~ spl179_75
| spl179_173 ),
inference(sat_conversion,[],[f69437]) ).
cnf(s264,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_74
| ~ spl179_85
| spl179_198 ),
inference(sat_conversion,[],[f69722]) ).
cnf(s268,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| spl179_202 ),
inference(sat_conversion,[],[f69742]) ).
cnf(s327,plain,
( ~ spl179_76
| ~ spl179_77
| spl179_238 ),
inference(sat_conversion,[],[f70382]) ).
cnf(s354,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_58
| ~ spl179_59
| ~ spl179_75
| ~ spl179_253 ),
inference(sat_conversion,[],[f71697]) ).
cnf(s355,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_52
| ~ spl179_53
| ~ spl179_74
| ~ spl179_254 ),
inference(sat_conversion,[],[f71698]) ).
cnf(s375,plain,
( ~ spl179_61
| spl179_254
| spl179_266 ),
inference(sat_conversion,[],[f72051]) ).
cnf(s376,plain,
( ~ spl179_62
| spl179_254
| spl179_267 ),
inference(sat_conversion,[],[f72056]) ).
cnf(s378,plain,
( ~ spl179_63
| spl179_253
| spl179_269 ),
inference(sat_conversion,[],[f72068]) ).
cnf(s379,plain,
( ~ spl179_64
| spl179_253
| spl179_270 ),
inference(sat_conversion,[],[f72073]) ).
cnf(s516,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_198
| ~ spl179_228
| spl179_329 ),
inference(sat_conversion,[],[f78113]) ).
cnf(s517,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_202
| ~ spl179_228
| spl179_331 ),
inference(sat_conversion,[],[f78114]) ).
cnf(s541,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_63
| ~ spl179_64
| spl179_71
| ~ spl179_72
| ~ spl179_75
| ~ spl179_98
| ~ spl179_228
| ~ spl179_329
| ~ spl179_331
| ~ spl179_374 ),
inference(sat_conversion,[],[f78167]) ).
cnf(s1155,plain,
( ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_266
| ~ spl179_269
| spl179_583 ),
inference(sat_conversion,[],[f81288]) ).
cnf(s1156,plain,
( ~ spl179_76
| ~ spl179_77
| ~ spl179_238
| ~ spl179_267
| ~ spl179_270
| spl179_584 ),
inference(sat_conversion,[],[f81293]) ).
cnf(s1163,plain,
( ~ spl179_55
| ~ spl179_56
| ~ spl179_57
| ~ spl179_68
| ~ spl179_69
| ~ spl179_70
| ~ spl179_72
| ~ spl179_75
| ~ spl179_78
| ~ spl179_583
| ~ spl179_584
| spl179_587 ),
inference(sat_conversion,[],[f81381]) ).
cnf(s1169,plain,
( ~ spl179_66
| ~ spl179_79
| spl179_230
| ~ spl179_587 ),
inference(sat_conversion,[],[f81433]) ).
cnf(s1242,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_61
| ~ spl179_63
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_169
| ~ spl179_230
| spl179_592 ),
inference(sat_conversion,[],[f81868]) ).
cnf(s1243,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_62
| ~ spl179_64
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_98
| ~ spl179_173
| ~ spl179_230
| spl179_594 ),
inference(sat_conversion,[],[f81869]) ).
cnf(s1361,plain,
( ~ spl179_49
| ~ spl179_50
| ~ spl179_51
| ~ spl179_61
| ~ spl179_62
| ~ spl179_73
| ~ spl179_74
| ~ spl179_230
| ~ spl179_592
| ~ spl179_594
| spl179_647 ),
inference(sat_conversion,[],[f82465]) ).
cnf(s1492,plain,
( ~ spl179_68
| ~ spl179_78
| spl179_228
| ~ spl179_711 ),
inference(sat_conversion,[],[f85327]) ).
cnf(s1511,plain,
( ~ spl179_49
| ~ spl179_66
| ~ spl179_67
| ~ spl179_74
| ~ spl179_79
| ~ spl179_88
| ~ spl179_202
| ~ spl179_584
| spl179_711 ),
inference(sat_conversion,[],[f85416]) ).
cnf(s1661,plain,
( ~ spl179_49
| ~ spl179_52
| spl179_54
| ~ spl179_55
| ~ spl179_58
| spl179_60
| ~ spl179_65
| ~ spl179_74
| ~ spl179_75
| ~ spl179_88
| ~ spl179_98
| ~ spl179_228
| ~ spl179_230
| spl179_374
| ~ spl179_647 ),
inference(sat_conversion,[],[f85731]) ).
cnf(s1685,plain,
spl179_238,
inference(rat,[],[s327,s77,s76]) ).
cnf(s1711,plain,
~ spl179_253,
inference(rat,[],[s354,s56,s75,s59,s58,s55]) ).
cnf(s1715,plain,
spl179_173,
inference(rat,[],[s241,s56,s75,s72,s64,s63,s57,s55]) ).
cnf(s1718,plain,
spl179_98,
inference(rat,[],[s109,s56,s75,s72,s64,s63,s57,s55]) ).
cnf(s1721,plain,
spl179_84,
inference(rat,[],[s84,s56,s75,s72,s64,s63,s57,s55]) ).
cnf(s1722,plain,
spl179_270,
inference(rat,[],[s379,s64,s1711]) ).
cnf(s1723,plain,
spl179_269,
inference(rat,[],[s378,s63,s1711]) ).
cnf(s1778,plain,
spl179_169,
inference(rat,[],[s237,s55,s56,s75,s64,s63,s57,s1721]) ).
cnf(s1805,plain,
~ spl179_254,
inference(rat,[],[s355,s50,s74,s53,s52,s49]) ).
cnf(s1809,plain,
spl179_202,
inference(rat,[],[s268,s50,s74,s73,s62,s61,s51,s49]) ).
cnf(s1812,plain,
spl179_88,
inference(rat,[],[s91,s50,s74,s73,s62,s61,s51,s49]) ).
cnf(s1815,plain,
spl179_85,
inference(rat,[],[s86,s50,s74,s73,s62,s61,s51,s49]) ).
cnf(s1816,plain,
spl179_267,
inference(rat,[],[s376,s62,s1805]) ).
cnf(s1817,plain,
spl179_266,
inference(rat,[],[s375,s61,s1805]) ).
cnf(s1872,plain,
spl179_198,
inference(rat,[],[s264,s49,s50,s74,s62,s61,s51,s1815]) ).
cnf(s1873,plain,
spl179_584,
inference(rat,[],[s1156,s1722,s1685,s76,s77,s1816]) ).
cnf(s1876,plain,
spl179_583,
inference(rat,[],[s1155,s1723,s1685,s76,s77,s1817]) ).
cnf(s1898,plain,
spl179_711,
inference(rat,[],[s1511,s1812,s1809,s49,s66,s79,s74,s67,s1873]) ).
cnf(s1900,plain,
spl179_587,
inference(rat,[],[s1163,s1873,s55,s56,s78,s75,s72,s70,s69,s68,s57,s1876]) ).
cnf(s1906,plain,
spl179_228,
inference(rat,[],[s1492,s68,s78,s1898]) ).
cnf(s1912,plain,
spl179_230,
inference(rat,[],[s1169,s66,s79,s1900]) ).
cnf(s1949,plain,
spl179_331,
inference(rat,[],[s517,s1812,s1809,s49,s52,s75,s74,s65,s64,s62,s60,s58,s55,s54,s1906]) ).
cnf(s1950,plain,
spl179_329,
inference(rat,[],[s516,s1872,s1812,s49,s52,s75,s74,s65,s63,s61,s60,s58,s55,s54,s1906]) ).
cnf(s1956,plain,
spl179_594,
inference(rat,[],[s1243,s49,s52,s1715,s1718,s75,s74,s65,s64,s62,s60,s58,s55,s54,s1912]) ).
cnf(s1957,plain,
spl179_592,
inference(rat,[],[s1242,s49,s52,s1778,s1718,s75,s74,s65,s63,s61,s60,s58,s55,s54,s1912]) ).
cnf(s2115,plain,
~ spl179_374,
inference(rat,[],[s541,s1949,s1906,s1718,s55,s56,s75,s72,s71,s64,s63,s57,s1950]) ).
cnf(s2143,plain,
spl179_647,
inference(rat,[],[s1361,s1912,s1956,s49,s50,s74,s73,s62,s61,s51,s1957]) ).
cnf(s2166,plain,
$false,
inference(rat,[],[s1661,s1912,s1906,s1812,s49,s1718,s52,s75,s74,s65,s60,s58,s55,s54,s2143,s2115]) ).
fof(f85741,plain,
$false,
inference(avatar_sat_refutation,[],[s2166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU410+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 05:13:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 22.84/8.42 % (1898505)Detected formulas, will run a generic FOF schedule.
% 22.84/8.42 % (1898511)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=1333318656:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2949 on theBenchmark for (2949ds/134677Mi)
% 22.84/8.42 % (1898510)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=1391790739:i=141193_2949 on theBenchmark for (2949ds/141193Mi)
% 22.84/8.42 % (1898512)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=3491367663:i=141695:sd=1:nm=32:gsp=on:ss=included_2949 on theBenchmark for (2949ds/141695Mi)
% 22.84/8.42 % (1898513)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1760673487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2949 on theBenchmark for (2949ds/109Mi)
% 22.84/8.42 % (1898514)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=9763325:i=119:av=off:ss=axioms_2949 on theBenchmark for (2949ds/119Mi)
% 22.84/8.42 % (1898515)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107237497:s2a=on:i=139:gtg=position_2949 on theBenchmark for (2949ds/139Mi)
% 22.84/8.42 % (1898516)dis-21_1_sil=8000:lcm=predicate:random_seed=4054085894:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2949 on theBenchmark for (2949ds/129Mi)
% 22.84/8.42 % (1898513)Instruction limit reached!
% 22.84/8.42 % (1898513)------------------------------
% 22.84/8.42 % (1898513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/8.42 % (1898513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/8.42 % (1898513)CaDiCaL version: 2.1.3
% 22.84/8.42 % (1898513)Termination reason: Instruction limit
% 22.84/8.42 % (1898513)Termination phase: SInE selection
% 22.84/8.42 % (1898513)Time elapsed: 0.082 s
% 22.84/8.42 % (1898513)Peak memory usage: 193 MB
% 22.84/8.42 % (1898513)Instructions burned: 109 (million)
% 22.84/8.42 % (1898515)Instruction limit reached!
% 22.84/8.42 % (1898515)------------------------------
% 22.84/8.42 % (1898515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/8.43 % (1898515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/8.43 % (1898515)CaDiCaL version: 2.1.3
% 22.84/8.43 % (1898515)Termination reason: Instruction limit
% 22.84/8.43 % (1898515)Termination phase: Property scanning
% 22.84/8.43 % (1898515)Time elapsed: 0.067 s
% 22.84/8.43 % (1898515)Peak memory usage: 193 MB
% 22.84/8.43 % (1898515)Instructions burned: 140 (million)
% 22.84/8.43 % (1898514)Instruction limit reached!
% 22.84/8.43 % (1898514)------------------------------
% 22.84/8.43 % (1898514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/8.43 % (1898514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/8.43 % (1898514)CaDiCaL version: 2.1.3
% 22.84/8.43 % (1898514)Termination reason: Instruction limit
% 22.84/8.43 % (1898514)Termination phase: SInE selection
% 22.84/8.43 % (1898514)Time elapsed: 0.092 s
% 22.84/8.43 % (1898514)Peak memory usage: 193 MB
% 22.84/8.43 % (1898514)Instructions burned: 120 (million)
% 22.84/8.43 % (1898516)Instruction limit reached!
% 22.84/8.43 % (1898516)------------------------------
% 22.84/8.43 % (1898516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/8.43 % (1898516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/8.43 % (1898516)CaDiCaL version: 2.1.3
% 22.84/8.43 % (1898516)Termination reason: Instruction limit
% 22.84/8.43 % (1898516)Termination phase: SInE selection
% 22.84/8.43 % (1898516)Time elapsed: 0.100 s
% 22.84/8.43 % (1898516)Peak memory usage: 193 MB
% 22.84/8.43 % (1898516)Instructions burned: 129 (million)
% 22.84/8.43 % (1898525)lrs+10_1_sil=8000:sp=occurrence:random_seed=1961306718:i=285:sd=3:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/285Mi)
% 22.84/8.43 % (1898526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2378843521:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/157Mi)
% 22.84/8.43 % (1898527)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3987017714:i=325:sd=1:ss=axioms:sgt=32_2946 on theBenchmark for (2946ds/325Mi)
% 22.84/8.43 % (1898528)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=1255205324:s2a=on:i=248:s2at=1.23:gtg=position_2945 on theBenchmark for (2945ds/248Mi)
% 22.84/8.43 % (1898526)Instruction limit reached!
% 30.49/9.53 % (1898526)------------------------------
% 30.49/9.53 % (1898526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898526)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898526)Termination reason: Instruction limit
% 30.49/9.53 % (1898526)Termination phase: Property scanning
% 30.49/9.53 % (1898526)Time elapsed: 0.075 s
% 30.49/9.53 % (1898526)Peak memory usage: 193 MB
% 30.49/9.53 % (1898526)Instructions burned: 158 (million)
% 30.49/9.53 % (1898528)Instruction limit reached!
% 30.49/9.53 % (1898528)------------------------------
% 30.49/9.53 % (1898528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898528)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898528)Termination reason: Instruction limit
% 30.49/9.53 % (1898528)Termination phase: Property scanning
% 30.49/9.53 % (1898528)Time elapsed: 0.112 s
% 30.49/9.53 % (1898528)Peak memory usage: 193 MB
% 30.49/9.53 % (1898528)Instructions burned: 249 (million)
% 30.49/9.53 % (1898525)Instruction limit reached!
% 30.49/9.53 % (1898525)------------------------------
% 30.49/9.53 % (1898525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898525)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898525)Termination reason: Instruction limit
% 30.49/9.53 % (1898525)Termination phase: SInE selection
% 30.49/9.53 % (1898525)Time elapsed: 0.213 s
% 30.49/9.53 % (1898525)Peak memory usage: 193 MB
% 30.49/9.53 % (1898525)Instructions burned: 286 (million)
% 30.49/9.53 % (1898533)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3936344702:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2944 on theBenchmark for (2944ds/294Mi)
% 30.49/9.53 % (1898527)Instruction limit reached!
% 30.49/9.53 % (1898527)------------------------------
% 30.49/9.53 % (1898527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898527)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898527)Termination reason: Instruction limit
% 30.49/9.53 % (1898527)Termination phase: SInE selection
% 30.49/9.53 % (1898527)Time elapsed: 0.249 s
% 30.49/9.53 % (1898527)Peak memory usage: 193 MB
% 30.49/9.53 % (1898527)Instructions burned: 325 (million)
% 30.49/9.53 % (1898534)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3292468111:i=2350_2943 on theBenchmark for (2943ds/2350Mi)
% 30.49/9.53 % (1898535)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2377702329:cts=off:i=113:fsr=off:ss=included:sgt=4_2942 on theBenchmark for (2942ds/113Mi)
% 30.49/9.53 % (1898537)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2022914266:i=127:av=off:fsr=off:sup=off_2942 on theBenchmark for (2942ds/127Mi)
% 30.49/9.53 % (1898535)Instruction limit reached!
% 30.49/9.53 % (1898535)------------------------------
% 30.49/9.53 % (1898535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898535)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898535)Termination reason: Instruction limit
% 30.49/9.53 % (1898535)Termination phase: SInE selection
% 30.49/9.53 % (1898535)Time elapsed: 0.088 s
% 30.49/9.53 % (1898535)Peak memory usage: 193 MB
% 30.49/9.53 % (1898535)Instructions burned: 114 (million)
% 30.49/9.53 % (1898533)Instruction limit reached!
% 30.49/9.53 % (1898533)------------------------------
% 30.49/9.53 % (1898533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898533)CaDiCaL version: 2.1.3
% 30.49/9.53 % (1898533)Termination reason: Instruction limit
% 30.49/9.53 % (1898533)Termination phase: SInE selection
% 30.49/9.53 % (1898533)Time elapsed: 0.222 s
% 30.49/9.53 % (1898533)Peak memory usage: 193 MB
% 30.49/9.53 % (1898533)Instructions burned: 294 (million)
% 30.49/9.53 % (1898537)Instruction limit reached!
% 30.49/9.53 % (1898537)------------------------------
% 30.49/9.53 % (1898537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/9.53 % (1898537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/9.53 % (1898537)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898537)Termination reason: Instruction limit
% 71.23/15.22 % (1898537)Termination phase: Preprocessing 1
% 71.23/15.22 % (1898537)Time elapsed: 0.101 s
% 71.23/15.22 % (1898537)Peak memory usage: 194 MB
% 71.23/15.22 % (1898537)Instructions burned: 128 (million)
% 71.23/15.22 % (1898541)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3219524901:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2940 on theBenchmark for (2940ds/114Mi)
% 71.23/15.22 % (1898542)lrs+10_1_sil=8000:sp=occurrence:random_seed=2215766680:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2939 on theBenchmark for (2939ds/907Mi)
% 71.23/15.22 % (1898541)Instruction limit reached!
% 71.23/15.22 % (1898541)------------------------------
% 71.23/15.22 % (1898541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/15.22 % (1898541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/15.22 % (1898541)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898541)Termination reason: Instruction limit
% 71.23/15.22 % (1898541)Termination phase: Property scanning
% 71.23/15.22 % (1898541)Time elapsed: 0.056 s
% 71.23/15.22 % (1898541)Peak memory usage: 193 MB
% 71.23/15.22 % (1898541)Instructions burned: 115 (million)
% 71.23/15.22 % (1898543)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3413268199:i=437:sd=1:aac=none:ss=included_2939 on theBenchmark for (2939ds/437Mi)
% 71.23/15.22 % (1898546)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2750802583:i=5202:ss=axioms:sgt=16_2937 on theBenchmark for (2937ds/5202Mi)
% 71.23/15.22 % (1898543)Instruction limit reached!
% 71.23/15.22 % (1898543)------------------------------
% 71.23/15.22 % (1898543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/15.22 % (1898543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/15.22 % (1898543)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898543)Termination reason: Instruction limit
% 71.23/15.22 % (1898543)Termination phase: SInE selection
% 71.23/15.22 % (1898543)Time elapsed: 0.329 s
% 71.23/15.22 % (1898543)Peak memory usage: 194 MB
% 71.23/15.22 % (1898543)Instructions burned: 438 (million)
% 71.23/15.22 % (1898549)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2747269645:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2934 on theBenchmark for (2934ds/134Mi)
% 71.23/15.22 % (1898542)Instruction limit reached!
% 71.23/15.22 % (1898542)------------------------------
% 71.23/15.22 % (1898542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/15.22 % (1898542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/15.22 % (1898542)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898542)Termination reason: Instruction limit
% 71.23/15.22 % (1898542)Termination phase: Naming
% 71.23/15.22 % (1898542)Time elapsed: 0.679 s
% 71.23/15.22 % (1898542)Peak memory usage: 204 MB
% 71.23/15.22 % (1898542)Instructions burned: 907 (million)
% 71.23/15.22 % (1898549)Instruction limit reached!
% 71.23/15.22 % (1898549)------------------------------
% 71.23/15.22 % (1898549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/15.22 % (1898549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/15.22 % (1898549)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898549)Termination reason: Instruction limit
% 71.23/15.22 % (1898549)Termination phase: SInE selection
% 71.23/15.22 % (1898549)Time elapsed: 0.104 s
% 71.23/15.22 % (1898549)Peak memory usage: 193 MB
% 71.23/15.22 % (1898549)Instructions burned: 134 (million)
% 71.23/15.22 % (1898551)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3614162234:st=8:i=592:sd=3:ep=RST:ss=axioms_2931 on theBenchmark for (2931ds/592Mi)
% 71.23/15.22 % (1898552)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3774697408:st=3:i=13193:sd=3:ss=axioms_2931 on theBenchmark for (2931ds/13193Mi)
% 71.23/15.22 % (1898551)Instruction limit reached!
% 71.23/15.22 % (1898551)------------------------------
% 71.23/15.22 % (1898551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.23/15.22 % (1898551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.23/15.22 % (1898551)CaDiCaL version: 2.1.3
% 71.23/15.22 % (1898551)Termination reason: Instruction limit
% 71.23/15.22 % (1898551)Termination phase: SInE selection
% 71.23/15.22 % (1898551)Time elapsed: 0.380 s
% 71.23/15.22 % (1898551)Peak memory usage: 194 MB
% 71.23/15.22 % (1898551)Instructions burned: 593 (million)
% 71.23/15.22 % (1898555)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=30593985:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2925 on theBenchmark for (2925ds/125Mi)
% 59.40/17.29 % (1898555)Instruction limit reached!
% 59.40/17.29 % (1898555)------------------------------
% 59.40/17.29 % (1898555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898555)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898555)Termination reason: Instruction limit
% 59.40/17.29 % (1898555)Termination phase: Property scanning
% 59.40/17.29 % (1898555)Time elapsed: 0.060 s
% 59.40/17.29 % (1898555)Peak memory usage: 193 MB
% 59.40/17.29 % (1898555)Instructions burned: 125 (million)
% 59.40/17.29 % (1898534)Instruction limit reached!
% 59.40/17.29 % (1898534)------------------------------
% 59.40/17.29 % (1898534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898534)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898534)Termination reason: Instruction limit
% 59.40/17.29 % (1898534)Termination phase: Preprocessing 3
% 59.40/17.29 % (1898534)Time elapsed: 1.835 s
% 59.40/17.29 % (1898534)Peak memory usage: 298 MB
% 59.40/17.29 % (1898534)Instructions burned: 2352 (million)
% 59.40/17.29 % (1898557)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=401642663:i=134:gtgl=5:slsql=off:gtg=exists_sym_2923 on theBenchmark for (2923ds/134Mi)
% 59.40/17.29 % (1898557)Instruction limit reached!
% 59.40/17.29 % (1898557)------------------------------
% 59.40/17.29 % (1898557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898557)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898557)Termination reason: Instruction limit
% 59.40/17.29 % (1898557)Termination phase: Property scanning
% 59.40/17.29 % (1898557)Time elapsed: 0.064 s
% 59.40/17.29 % (1898557)Peak memory usage: 193 MB
% 59.40/17.29 % (1898557)Instructions burned: 135 (million)
% 59.40/17.29 % (1898558)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=667140860:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2922 on theBenchmark for (2922ds/141Mi)
% 59.40/17.29 % (1898558)Instruction limit reached!
% 59.40/17.29 % (1898558)------------------------------
% 59.40/17.29 % (1898558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898558)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898558)Termination reason: Instruction limit
% 59.40/17.29 % (1898558)Termination phase: SInE selection
% 59.40/17.29 % (1898558)Time elapsed: 0.112 s
% 59.40/17.29 % (1898558)Peak memory usage: 193 MB
% 59.40/17.29 % (1898558)Instructions burned: 141 (million)
% 59.40/17.29 % (1898560)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3166768259:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2921 on theBenchmark for (2921ds/431Mi)
% 59.40/17.29 % (1898562)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=877796548:i=6060:aac=none:ins=25_2919 on theBenchmark for (2919ds/6060Mi)
% 59.40/17.29 % (1898560)Instruction limit reached!
% 59.40/17.29 % (1898560)------------------------------
% 59.40/17.29 % (1898560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898560)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898560)Termination reason: Instruction limit
% 59.40/17.29 % (1898560)Termination phase: SInE selection
% 59.40/17.29 % (1898560)Time elapsed: 0.328 s
% 59.40/17.29 % (1898560)Peak memory usage: 194 MB
% 59.40/17.29 % (1898560)Instructions burned: 432 (million)
% 59.40/17.29 % (1898565)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1499396655:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2916 on theBenchmark for (2916ds/150Mi)
% 59.40/17.29 % (1898565)Instruction limit reached!
% 59.40/17.29 % (1898565)------------------------------
% 59.40/17.29 % (1898565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898565)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898565)Termination reason: Instruction limit
% 59.40/17.29 % (1898565)Termination phase: SInE selection
% 59.40/17.29 % (1898565)Time elapsed: 0.120 s
% 59.40/17.29 % (1898565)Peak memory usage: 193 MB
% 59.40/17.29 % (1898565)Instructions burned: 151 (million)
% 59.40/17.29 % (1898567)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=62996347:i=14155:bd=all_2913 on theBenchmark for (2913ds/14155Mi)
% 59.40/17.29 % (1898546)Instruction limit reached!
% 59.40/17.29 % (1898546)------------------------------
% 59.40/17.29 % (1898546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898546)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898546)Termination reason: Instruction limit
% 59.40/17.29 % (1898546)Termination phase: Saturation
% 59.40/17.29 % (1898546)Time elapsed: 3.257 s
% 59.40/17.29 % (1898546)Peak memory usage: 339 MB
% 59.40/17.29 % (1898546)Instructions burned: 5204 (million)
% 59.40/17.29 % (1898569)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3952611141:i=667:av=off:fsr=off_2903 on theBenchmark for (2903ds/667Mi)
% 59.40/17.29 % (1898569)Instruction limit reached!
% 59.40/17.29 % (1898569)------------------------------
% 59.40/17.29 % (1898569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898569)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898569)Termination reason: Instruction limit
% 59.40/17.29 % (1898569)Termination phase: Preprocessing 2
% 59.40/17.29 % (1898569)Time elapsed: 0.585 s
% 59.40/17.29 % (1898569)Peak memory usage: 210 MB
% 59.40/17.29 % (1898569)Instructions burned: 667 (million)
% 59.40/17.29 % (1898571)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=666060708:s2a=on:i=185:s2at=1.8:fdi=4_2895 on theBenchmark for (2895ds/185Mi)
% 59.40/17.29 % (1898571)Instruction limit reached!
% 59.40/17.29 % (1898571)------------------------------
% 59.40/17.29 % (1898571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898571)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898571)Termination reason: Instruction limit
% 59.40/17.29 % (1898571)Termination phase: SInE selection
% 59.40/17.29 % (1898571)Time elapsed: 0.146 s
% 59.40/17.29 % (1898571)Peak memory usage: 193 MB
% 59.40/17.29 % (1898571)Instructions burned: 185 (million)
% 59.40/17.29 % (1898573)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=226958645:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2892 on theBenchmark for (2892ds/193Mi)
% 59.40/17.29 % (1898573)Instruction limit reached!
% 59.40/17.29 % (1898573)------------------------------
% 59.40/17.29 % (1898573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898573)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898573)Termination reason: Instruction limit
% 59.40/17.29 % (1898573)Termination phase: SInE selection
% 59.40/17.29 % (1898573)Time elapsed: 0.147 s
% 59.40/17.29 % (1898573)Peak memory usage: 193 MB
% 59.40/17.29 % (1898573)Instructions burned: 193 (million)
% 59.40/17.29 % (1898575)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3544995069:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2889 on theBenchmark for (2889ds/4850Mi)
% 59.40/17.29 % (1898562)Instruction limit reached!
% 59.40/17.29 % (1898562)------------------------------
% 59.40/17.29 % (1898562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898562)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898562)Termination reason: Instruction limit
% 59.40/17.29 % (1898562)Termination phase: NewCNF
% 59.40/17.29 % (1898562)Time elapsed: 4.845 s
% 59.40/17.29 % (1898562)Peak memory usage: 367 MB
% 59.40/17.29 % (1898562)Instructions burned: 6061 (million)
% 59.40/17.29 % (1898577)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1632759969:i=12111:sd=1:ss=included_2869 on theBenchmark for (2869ds/12111Mi)
% 59.40/17.29 % (1898575)Instruction limit reached!
% 59.40/17.29 % (1898575)------------------------------
% 59.40/17.29 % (1898575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898575)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898575)Termination reason: Instruction limit
% 59.40/17.29 % (1898575)Termination phase: Property scanning
% 59.40/17.29 % (1898575)Time elapsed: 3.117 s
% 59.40/17.29 % (1898575)Peak memory usage: 328 MB
% 59.40/17.29 % (1898575)Instructions burned: 4852 (million)
% 59.40/17.29 % (1898579)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2502345461:i=319:kws=precedence:fsr=off_2855 on theBenchmark for (2855ds/319Mi)
% 59.40/17.29 % (1898579)Instruction limit reached!
% 59.40/17.29 % (1898579)------------------------------
% 59.40/17.29 % (1898579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898579)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898579)Termination reason: Instruction limit
% 59.40/17.29 % (1898579)Termination phase: Preprocessing 1
% 59.40/17.29 % (1898579)Time elapsed: 0.230 s
% 59.40/17.29 % (1898579)Peak memory usage: 195 MB
% 59.40/17.29 % (1898579)Instructions burned: 319 (million)
% 59.40/17.29 % (1898581)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1370587570:i=2064:ep=RST_2851 on theBenchmark for (2851ds/2064Mi)
% 59.40/17.29 % (1898552)Instruction limit reached!
% 59.40/17.29 % (1898552)------------------------------
% 59.40/17.29 % (1898552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898552)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898552)Termination reason: Instruction limit
% 59.40/17.29 % (1898552)Termination phase: Saturation
% 59.40/17.29 % (1898552)Time elapsed: 8.173 s
% 59.40/17.29 % (1898552)Peak memory usage: 579 MB
% 59.40/17.29 % (1898552)Instructions burned: 13195 (million)
% 59.40/17.29 % (1898583)dis-1011_128_sil=32000:random_seed=361629523:i=3706:ep=RST:av=off_2847 on theBenchmark for (2847ds/3706Mi)
% 59.40/17.29 % (1898567)Instruction limit reached!
% 59.40/17.29 % (1898567)------------------------------
% 59.40/17.29 % (1898567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.40/17.29 % (1898567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.40/17.29 % (1898567)CaDiCaL version: 2.1.3
% 59.40/17.29 % (1898567)Termination reason: Instruction limit
% 59.40/17.29 % (1898567)Termination phase: Property scanning
% 59.40/17.29 % (1898567)Time elapsed: 6.863 s
% 59.40/17.29 % (1898567)Peak memory usage: 416 MB
% 59.40/17.29 % (1898567)Instructions burned: 14157 (million)
% 59.40/17.29 % (1898585)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3003942768:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2842 on theBenchmark for (2842ds/757Mi)
% 59.40/17.29 % (1898577)First to succeed.
% 59.40/17.29 % (1898577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1898505"
% 59.40/17.29 % (1898577)Refutation found. Thanks to Tanya!
% 59.40/17.29 % SZS status Theorem for theBenchmark
% 59.40/17.29 % SZS output start Proof for theBenchmark
% See solution above
% 85.54/17.48 % (1898577)------------------------------
% 85.54/17.48 % (1898577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.54/17.48 % (1898577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.54/17.48 % (1898577)CaDiCaL version: 2.1.3
% 85.54/17.48 % (1898577)Termination reason: Refutation
% 85.54/17.48 % (1898577)Time elapsed: 2.773 s
% 85.54/17.48 % (1898577)Peak memory usage: 285 MB
% 85.54/17.48 % (1898577)Instructions burned: 4011 (million)
% 85.54/17.48 % (1898577)------------------------------
% 85.54/17.48 % (1898577)------------------------------
% 85.54/17.48 % (1898505)Success in time 16.441 s
% 85.54/17.48 % Vampire exiting
%------------------------------------------------------------------------------