%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:08:06 PM UTC 2026
% Result : Theorem 2.44s 0.88s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 60
% Syntax : Number of formulae : 390 ( 96 unt; 52 def)
% Number of atoms : 1998 ( 347 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 1950 ( 342 ~;1445 |; 135 &)
% ( 25 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 54 ( 52 usr; 26 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 != X1
& a_select2(X2,X1) = X3 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f82,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f83,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f102,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use ),
inference(flattening,[],[f102]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(flattening,[],[f116]) ).
fof(f119,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f103]) ).
fof(f120,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f103]) ).
fof(f121,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f103]) ).
fof(f122,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f103]) ).
fof(f123,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f103]) ).
fof(f124,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f125,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f103]) ).
fof(f126,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f103]) ).
fof(f127,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f103]) ).
fof(f128,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f129,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f130,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f131,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f103]) ).
fof(f132,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f103]) ).
fof(f133,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f103]) ).
fof(f134,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f103]) ).
fof(f135,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f103]) ).
fof(f136,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f137,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f103]) ).
fof(f138,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f103]) ).
fof(f139,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f140,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) ),
inference(cnf_transformation,[],[f103]) ).
fof(f141,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f143,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f145,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f147,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f149,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1
| a_select2(X2,X1) != X3 ),
inference(cnf_transformation,[],[f117]) ).
fof(f155,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f156,definition,
~ sP1(use),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f157,definition,
~ sP2(use),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f158,definition,
~ sP3(use),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f159,definition,
~ sP4(use),
introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).
fof(f160,definition,
~ sP5(use),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f161,definition,
~ sP6(use),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f162,definition,
~ sP7(use),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f163,definition,
~ sP8(use),
introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).
fof(f164,definition,
~ sP9(use),
introduced(definition,[new_symbols(definition,[sP9])],[inequality_splitting_name_introduction]) ).
fof(f165,definition,
~ sP10(use),
introduced(definition,[new_symbols(definition,[sP10])],[inequality_splitting_name_introduction]) ).
fof(f166,definition,
~ sP11(use),
introduced(definition,[new_symbols(definition,[sP11])],[inequality_splitting_name_introduction]) ).
fof(f167,definition,
~ sP12(use),
introduced(definition,[new_symbols(definition,[sP12])],[inequality_splitting_name_introduction]) ).
fof(f168,definition,
~ sP13(use),
introduced(definition,[new_symbols(definition,[sP13])],[inequality_splitting_name_introduction]) ).
fof(f169,definition,
~ sP14(use),
introduced(definition,[new_symbols(definition,[sP14])],[inequality_splitting_name_introduction]) ).
fof(f170,definition,
~ sP15(use),
introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).
fof(f171,definition,
~ sP16(use),
introduced(definition,[new_symbols(definition,[sP16])],[inequality_splitting_name_introduction]) ).
fof(f172,definition,
~ sP17(use),
introduced(definition,[new_symbols(definition,[sP17])],[inequality_splitting_name_introduction]) ).
fof(f173,definition,
~ sP18(use),
introduced(definition,[new_symbols(definition,[sP18])],[inequality_splitting_name_introduction]) ).
fof(f174,definition,
~ sP19(use),
introduced(definition,[new_symbols(definition,[sP19])],[inequality_splitting_name_introduction]) ).
fof(f175,definition,
~ sP20(use),
introduced(definition,[new_symbols(definition,[sP20])],[inequality_splitting_name_introduction]) ).
fof(f176,definition,
~ sP21(use),
introduced(definition,[new_symbols(definition,[sP21])],[inequality_splitting_name_introduction]) ).
fof(f177,definition,
~ sP22(use),
introduced(definition,[new_symbols(definition,[sP22])],[inequality_splitting_name_introduction]) ).
fof(f178,definition,
~ sP23(use),
introduced(definition,[new_symbols(definition,[sP23])],[inequality_splitting_name_introduction]) ).
fof(f179,definition,
~ sP24(use),
introduced(definition,[new_symbols(definition,[sP24])],[inequality_splitting_name_introduction]) ).
fof(f180,definition,
~ sP25(use),
introduced(definition,[new_symbols(definition,[sP25])],[inequality_splitting_name_introduction]) ).
fof(f181,definition,
~ sP26(use),
introduced(definition,[new_symbols(definition,[sP26])],[inequality_splitting_name_introduction]) ).
fof(f182,definition,
~ sP27(use),
introduced(definition,[new_symbols(definition,[sP27])],[inequality_splitting_name_introduction]) ).
fof(f183,plain,
( sP1(a_select2(rho_defuse,n0))
| sP2(a_select2(rho_defuse,n1))
| sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(inequality_splitting,[],[f140,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156]) ).
fof(f184,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f154]) ).
fof(f185,plain,
use = a_select2(xinit_mean_defuse,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f119,f149]) ).
fof(f186,plain,
use = a_select2(xinit_mean_defuse,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f120,f147]) ).
fof(f187,plain,
use = a_select2(xinit_mean_defuse,succ(succ(succ(n0)))),
inference(forward_demodulation,[],[f121,f145]) ).
fof(f188,plain,
use = a_select2(xinit_mean_defuse,succ(succ(n0))),
inference(forward_demodulation,[],[f122,f143]) ).
fof(f189,plain,
use = a_select2(xinit_mean_defuse,succ(n0)),
inference(forward_demodulation,[],[f123,f141]) ).
fof(f190,plain,
use = a_select2(xinit_defuse,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f125,f149]) ).
fof(f191,plain,
use = a_select2(xinit_defuse,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f126,f147]) ).
fof(f192,plain,
use = a_select2(xinit_defuse,succ(succ(succ(n0)))),
inference(forward_demodulation,[],[f127,f145]) ).
fof(f193,plain,
use = a_select3(u_defuse,succ(succ(n0)),n0),
inference(forward_demodulation,[],[f128,f143]) ).
fof(f194,plain,
use = a_select3(u_defuse,succ(n0),n0),
inference(forward_demodulation,[],[f129,f141]) ).
fof(f195,plain,
use = a_select2(sigma_defuse,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f131,f149]) ).
fof(f196,plain,
use = a_select2(sigma_defuse,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f132,f147]) ).
fof(f197,plain,
use = a_select2(sigma_defuse,succ(succ(succ(n0)))),
inference(forward_demodulation,[],[f133,f145]) ).
fof(f198,plain,
use = a_select2(sigma_defuse,succ(succ(n0))),
inference(forward_demodulation,[],[f134,f143]) ).
fof(f199,plain,
use = a_select2(sigma_defuse,succ(n0)),
inference(forward_demodulation,[],[f135,f141]) ).
fof(f200,plain,
use = a_select2(rho_defuse,succ(succ(n0))),
inference(forward_demodulation,[],[f137,f143]) ).
fof(f201,plain,
use = a_select2(rho_defuse,succ(n0)),
inference(forward_demodulation,[],[f138,f141]) ).
fof(f202,plain,
( sP1(use)
| sP2(a_select2(rho_defuse,n1))
| sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f183,f139]) ).
fof(f203,plain,
( sP2(a_select2(rho_defuse,n1))
| sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f202,f156]) ).
fof(f204,plain,
( sP2(a_select2(rho_defuse,succ(n0)))
| sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f203,f141]) ).
fof(f205,plain,
( sP2(use)
| sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f204,f201]) ).
fof(f206,plain,
( sP3(a_select2(rho_defuse,n2))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f205,f157]) ).
fof(f207,plain,
( sP3(a_select2(rho_defuse,succ(succ(n0))))
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f206,f143]) ).
fof(f208,plain,
( sP3(use)
| sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f207,f200]) ).
fof(f209,plain,
( sP4(a_select2(sigma_defuse,n0))
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f208,f158]) ).
fof(f210,plain,
( sP4(use)
| sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f209,f136]) ).
fof(f211,plain,
( sP5(a_select2(sigma_defuse,n1))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f210,f159]) ).
fof(f212,plain,
( sP5(a_select2(sigma_defuse,succ(n0)))
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f211,f141]) ).
fof(f213,plain,
( sP5(use)
| sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f212,f199]) ).
fof(f214,plain,
( sP6(a_select2(sigma_defuse,n2))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f213,f160]) ).
fof(f215,plain,
( sP6(a_select2(sigma_defuse,succ(succ(n0))))
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f214,f143]) ).
fof(f216,plain,
( sP6(use)
| sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f215,f198]) ).
fof(f217,plain,
( sP7(a_select2(sigma_defuse,n3))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f216,f161]) ).
fof(f218,plain,
( sP7(a_select2(sigma_defuse,succ(succ(succ(n0)))))
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f217,f145]) ).
fof(f219,plain,
( sP7(use)
| sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f218,f197]) ).
fof(f220,plain,
( sP8(a_select2(sigma_defuse,n4))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f219,f162]) ).
fof(f221,plain,
( sP8(a_select2(sigma_defuse,succ(succ(succ(succ(n0))))))
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f220,f147]) ).
fof(f222,plain,
( sP8(use)
| sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f221,f196]) ).
fof(f223,plain,
( sP9(a_select2(sigma_defuse,n5))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f222,f163]) ).
fof(f224,plain,
( sP9(a_select2(sigma_defuse,succ(succ(succ(succ(succ(n0)))))))
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f223,f149]) ).
fof(f225,plain,
( sP9(use)
| sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f224,f195]) ).
fof(f226,plain,
( sP10(a_select3(u_defuse,n0,n0))
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f225,f164]) ).
fof(f227,plain,
( sP10(use)
| sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f226,f130]) ).
fof(f228,plain,
( sP11(a_select3(u_defuse,n1,n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f227,f165]) ).
fof(f229,plain,
( sP11(a_select3(u_defuse,succ(n0),n0))
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f228,f141]) ).
fof(f230,plain,
( sP11(use)
| sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f229,f194]) ).
fof(f231,plain,
( sP12(a_select3(u_defuse,n2,n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f230,f166]) ).
fof(f232,plain,
( sP12(a_select3(u_defuse,succ(succ(n0)),n0))
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f231,f143]) ).
fof(f233,plain,
( sP12(use)
| sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f232,f193]) ).
fof(f234,plain,
( sP13(a_select2(xinit_defuse,n3))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f233,f167]) ).
fof(f235,plain,
( sP13(a_select2(xinit_defuse,succ(succ(succ(n0)))))
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f234,f145]) ).
fof(f236,plain,
( sP13(use)
| sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f235,f192]) ).
fof(f237,plain,
( sP14(a_select2(xinit_defuse,n4))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f236,f168]) ).
fof(f238,plain,
( sP14(a_select2(xinit_defuse,succ(succ(succ(succ(n0))))))
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f237,f147]) ).
fof(f239,plain,
( sP14(use)
| sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f238,f191]) ).
fof(f240,plain,
( sP15(a_select2(xinit_defuse,n5))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f239,f169]) ).
fof(f241,plain,
( sP15(a_select2(xinit_defuse,succ(succ(succ(succ(succ(n0)))))))
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f240,f149]) ).
fof(f242,plain,
( sP15(use)
| sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f241,f190]) ).
fof(f243,plain,
( sP16(a_select2(xinit_mean_defuse,n0))
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f242,f170]) ).
fof(f244,plain,
( sP16(use)
| sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f243,f124]) ).
fof(f245,plain,
( sP17(a_select2(xinit_mean_defuse,n1))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f244,f171]) ).
fof(f246,plain,
( sP17(a_select2(xinit_mean_defuse,succ(n0)))
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f245,f141]) ).
fof(f247,plain,
( sP17(use)
| sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f246,f189]) ).
fof(f248,plain,
( sP18(a_select2(xinit_mean_defuse,n2))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f247,f172]) ).
fof(f249,plain,
( sP18(a_select2(xinit_mean_defuse,succ(succ(n0))))
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f248,f143]) ).
fof(f250,plain,
( sP18(use)
| sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f249,f188]) ).
fof(f251,plain,
( sP19(a_select2(xinit_mean_defuse,n3))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f250,f173]) ).
fof(f252,plain,
( sP19(a_select2(xinit_mean_defuse,succ(succ(succ(n0)))))
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f251,f145]) ).
fof(f253,plain,
( sP19(use)
| sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f252,f187]) ).
fof(f254,plain,
( sP20(a_select2(xinit_mean_defuse,n4))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f253,f174]) ).
fof(f255,plain,
( sP20(a_select2(xinit_mean_defuse,succ(succ(succ(succ(n0))))))
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f254,f147]) ).
fof(f256,plain,
( sP20(use)
| sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f255,f186]) ).
fof(f257,plain,
( sP21(a_select2(xinit_mean_defuse,n5))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f256,f175]) ).
fof(f258,plain,
( sP21(a_select2(xinit_mean_defuse,succ(succ(succ(succ(succ(n0)))))))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f257,f149]) ).
fof(f259,plain,
( sP21(use)
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f258,f185]) ).
fof(f260,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f259,f176]) ).
fof(f261,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f260,f149]) ).
fof(f262,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f261,f147]) ).
fof(f263,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f262,f145]) ).
fof(f264,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f263,f143]) ).
fof(f265,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f264,f141]) ).
fof(f266,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n2,use),n3,use),n4,use),n5,use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f265,f141]) ).
fof(f267,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n2,use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f266,f149]) ).
fof(f268,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f267,f147]) ).
fof(f269,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n2,use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f268,f145]) ).
fof(f270,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f269,f143]) ).
fof(f271,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),n3,use),n4,use),n5,use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f270,f143]) ).
fof(f272,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f271,f149]) ).
fof(f273,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),n3,use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f272,f147]) ).
fof(f274,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f273,f145]) ).
fof(f275,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f274,f141]) ).
fof(f276,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),n4,use),n5,use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f275,f145]) ).
fof(f277,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),n4,use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f276,f149]) ).
fof(f278,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f277,f147]) ).
fof(f279,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f278,f143]) ).
fof(f280,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f279,f141]) ).
fof(f281,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),n5,use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f280,f147]) ).
fof(f282,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f281,f149]) ).
fof(f283,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f282,f145]) ).
fof(f284,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f283,f143]) ).
fof(f285,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP27(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f284,f141]) ).
fof(f286,plain,
( sP27(use)
| sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0)) ),
inference(forward_demodulation,[],[f285,f155]) ).
fof(f287,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0)) ),
inference(forward_subsumption_resolution,[],[f286,f182]) ).
fof(f289,definition,
( spl28_1
<=> sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f291,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl28_2
<=> sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f295,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl28_3
<=> sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f299,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl28_4
<=> sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f303,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(n0)))))
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl28_5
<=> sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0)))))) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f307,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(succ(succ(n0))))))
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( spl28_1
| spl28_2
| spl28_3
| spl28_4
| spl28_5 ),
inference(avatar_split_clause,[],[f287,f305,f301,f297,f293,f289]) ).
fof(f309,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(n0)))
| succ(n0) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_2 ),
inference(superposition,[],[f295,f184]) ).
fof(f315,definition,
( spl28_6
<=> succ(n0) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f316,plain,
( succ(n0) != succ(succ(succ(succ(succ(n0)))))
| spl28_6 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( succ(n0) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f319,definition,
( spl28_7
<=> sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f321,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(n0)))
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,plain,
( spl28_6
| spl28_7
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f309,f293,f319,f315]) ).
fof(f342,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(n0),use),succ(n0)))
| ~ spl28_2
| ~ spl28_6 ),
inference(superposition,[],[f295,f317]) ).
fof(f346,plain,
( sP23(use)
| ~ spl28_2
| ~ spl28_6 ),
inference(forward_demodulation,[],[f342,f155]) ).
fof(f347,plain,
( $false
| ~ spl28_2
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f346,f178]) ).
fof(f348,plain,
( ~ spl28_2
| ~ spl28_6 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f349,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0)))
| succ(n0) = succ(succ(succ(succ(n0))))
| ~ spl28_7 ),
inference(superposition,[],[f321,f184]) ).
fof(f355,definition,
( spl28_12
<=> succ(n0) = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f357,plain,
( succ(n0) = succ(succ(succ(succ(n0))))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f359,definition,
( spl28_13
<=> sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f361,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0)))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,plain,
( spl28_12
| spl28_13
| ~ spl28_7 ),
inference(avatar_split_clause,[],[f349,f319,f359,f355]) ).
fof(f388,definition,
( spl28_17
<=> succ(n0) = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_17])],[avatar_definition]) ).
fof(f389,plain,
( succ(n0) != succ(succ(succ(n0)))
| spl28_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( succ(n0) = succ(succ(succ(n0)))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl28_18
<=> sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_18])],[avatar_definition]) ).
fof(f393,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( ~ sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| spl28_18 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(n0))))))
| succ(succ(succ(succ(n0)))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_5 ),
inference(superposition,[],[f307,f184]) ).
fof(f401,plain,
( sP26(use)
| succ(succ(succ(succ(n0)))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_5 ),
inference(forward_demodulation,[],[f396,f155]) ).
fof(f412,plain,
( succ(succ(succ(succ(n0)))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_5 ),
inference(forward_subsumption_resolution,[],[f401,f181]) ).
fof(f418,plain,
( sP26(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(n0))))))
| ~ spl28_5 ),
inference(superposition,[],[f307,f412]) ).
fof(f423,plain,
( sP26(use)
| ~ spl28_5 ),
inference(forward_demodulation,[],[f418,f155]) ).
fof(f424,plain,
( $false
| ~ spl28_5 ),
inference(forward_subsumption_resolution,[],[f423,f181]) ).
fof(f425,plain,
~ spl28_5,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f426,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(n0)))))
| succ(succ(succ(n0))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_4 ),
inference(superposition,[],[f303,f184]) ).
fof(f432,definition,
( spl28_21
<=> succ(succ(succ(n0))) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_21])],[avatar_definition]) ).
fof(f434,plain,
( succ(succ(succ(n0))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f436,definition,
( spl28_22
<=> sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_22])],[avatar_definition]) ).
fof(f438,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(n0)))))
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,plain,
( spl28_21
| spl28_22
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f426,f301,f436,f432]) ).
fof(f454,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(n0))))
| succ(succ(n0)) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_3 ),
inference(superposition,[],[f299,f184]) ).
fof(f460,definition,
( spl28_25
<=> succ(succ(n0)) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_25])],[avatar_definition]) ).
fof(f461,plain,
( succ(succ(n0)) != succ(succ(succ(succ(succ(n0)))))
| spl28_25 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( succ(succ(n0)) = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_25 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f464,definition,
( spl28_26
<=> sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_26])],[avatar_definition]) ).
fof(f466,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(n0))))
| ~ spl28_26 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
( spl28_25
| spl28_26
| ~ spl28_3 ),
inference(avatar_split_clause,[],[f454,f297,f464,f460]) ).
fof(f478,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0))
| n0 = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_1 ),
inference(superposition,[],[f291,f184]) ).
fof(f484,definition,
( spl28_29
<=> n0 = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl28_29])],[avatar_definition]) ).
fof(f486,plain,
( n0 = succ(succ(succ(succ(succ(n0)))))
| ~ spl28_29 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f488,definition,
( spl28_30
<=> sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl28_30])],[avatar_definition]) ).
fof(f490,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0))
| ~ spl28_30 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( spl28_29
| spl28_30
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f478,f289,f488,f484]) ).
fof(f508,definition,
( spl28_33
<=> n0 = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_33])],[avatar_definition]) ).
fof(f509,plain,
( n0 != succ(succ(succ(n0)))
| spl28_33 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( n0 = succ(succ(succ(n0)))
| ~ spl28_33 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f517,definition,
( spl28_34
<=> succ(succ(n0)) = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl28_34])],[avatar_definition]) ).
fof(f518,plain,
( succ(succ(n0)) != succ(succ(succ(n0)))
| spl28_34 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( succ(succ(n0)) = succ(succ(succ(n0)))
| ~ spl28_34 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f531,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(n0))),use),succ(succ(succ(n0)))))
| ~ spl28_4
| ~ spl28_21 ),
inference(superposition,[],[f303,f434]) ).
fof(f537,plain,
( sP25(use)
| ~ spl28_4
| ~ spl28_21 ),
inference(forward_demodulation,[],[f531,f155]) ).
fof(f540,plain,
( $false
| ~ spl28_4
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f537,f180]) ).
fof(f541,plain,
( ~ spl28_4
| ~ spl28_21 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f632,definition,
( spl28_35
<=> n0 = succ(succ(n0)) ),
introduced(definition,[new_symbols(definition,[spl28_35])],[avatar_definition]) ).
fof(f633,plain,
( n0 != succ(succ(n0))
| spl28_35 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( n0 = succ(succ(n0))
| ~ spl28_35 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f636,definition,
( spl28_36
<=> sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl28_36])],[avatar_definition]) ).
fof(f637,plain,
( ~ sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl28_36 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| ~ spl28_36 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f659,plain,
( succ(n0) != succ(n0)
| spl28_17
| ~ spl28_35 ),
inference(superposition,[],[f389,f634]) ).
fof(f671,plain,
( $false
| spl28_17
| ~ spl28_35 ),
inference(trivial_inequality_removal,[],[f659]) ).
fof(f672,plain,
( spl28_17
| ~ spl28_35 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f720,plain,
( succ(succ(n0)) != succ(succ(succ(succ(n0))))
| spl28_25
| ~ spl28_34 ),
inference(forward_demodulation,[],[f461,f519]) ).
fof(f744,plain,
( succ(succ(n0)) != succ(succ(succ(n0)))
| spl28_25
| ~ spl28_34 ),
inference(forward_demodulation,[],[f720,f519]) ).
fof(f768,plain,
( $false
| spl28_25
| ~ spl28_34 ),
inference(forward_subsumption_resolution,[],[f744,f519]) ).
fof(f769,plain,
( spl28_25
| ~ spl28_34 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f839,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| ~ spl28_36 ),
inference(superposition,[],[f638,f184]) ).
fof(f842,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl28_35
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f839,f633]) ).
fof(f858,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl28_35
| ~ spl28_36 ),
inference(superposition,[],[f842,f184]) ).
fof(f861,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| spl28_35
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f858,f633]) ).
fof(f865,plain,
( sP22(a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n0))
| n0 = succ(succ(n0))
| spl28_35
| ~ spl28_36 ),
inference(superposition,[],[f861,f184]) ).
fof(f868,plain,
( sP22(a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),n0))
| spl28_35
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f865,f633]) ).
fof(f872,plain,
( sP22(a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0))
| n0 = succ(n0)
| spl28_35
| ~ spl28_36 ),
inference(superposition,[],[f868,f184]) ).
fof(f875,plain,
( sP22(use)
| n0 = succ(n0)
| spl28_35
| ~ spl28_36 ),
inference(forward_demodulation,[],[f872,f155]) ).
fof(f876,plain,
( n0 = succ(n0)
| spl28_35
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f875,f177]) ).
fof(f916,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n0,use),succ(n0),use),succ(n0),use),succ(n0),use),n0))
| spl28_35
| ~ spl28_36 ),
inference(superposition,[],[f638,f876]) ).
fof(f923,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n0,use),n0,use),n0,use),n0,use),n0))
| spl28_35
| ~ spl28_36 ),
inference(forward_demodulation,[],[f916,f876]) ).
fof(f950,plain,
( sP22(use)
| spl28_35
| ~ spl28_36 ),
inference(forward_demodulation,[],[f923,f155]) ).
fof(f967,plain,
( $false
| spl28_35
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f950,f177]) ).
fof(f968,plain,
( spl28_35
| ~ spl28_36 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f1011,plain,
( ~ sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl28_36 ),
inference(superposition,[],[f637,f184]) ).
fof(f1014,plain,
( ~ sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl28_35
| spl28_36 ),
inference(forward_subsumption_resolution,[],[f1011,f633]) ).
fof(f1015,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| n0 = succ(succ(succ(succ(n0))))
| ~ spl28_30 ),
inference(superposition,[],[f490,f184]) ).
fof(f1019,definition,
( spl28_37
<=> n0 = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_37])],[avatar_definition]) ).
fof(f1020,plain,
( n0 != succ(succ(succ(succ(n0))))
| spl28_37 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1021,plain,
( n0 = succ(succ(succ(succ(n0))))
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1023,definition,
( spl28_38
<=> sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl28_38])],[avatar_definition]) ).
fof(f1025,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| ~ spl28_38 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1026,plain,
( spl28_37
| spl28_38
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f1015,f488,f1023,f1019]) ).
fof(f1045,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0,use),n0))
| ~ spl28_30
| ~ spl28_37 ),
inference(superposition,[],[f490,f1021]) ).
fof(f1053,plain,
( sP22(use)
| ~ spl28_30
| ~ spl28_37 ),
inference(forward_demodulation,[],[f1045,f155]) ).
fof(f1058,plain,
( $false
| ~ spl28_30
| ~ spl28_37 ),
inference(forward_subsumption_resolution,[],[f1053,f177]) ).
fof(f1059,plain,
( ~ spl28_30
| ~ spl28_37 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1064,definition,
( spl28_39
<=> succ(succ(n0)) = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_39])],[avatar_definition]) ).
fof(f1066,plain,
( succ(succ(n0)) = succ(succ(succ(succ(n0))))
| ~ spl28_39 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1068,definition,
( spl28_40
<=> sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl28_40])],[avatar_definition]) ).
fof(f1069,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0))))
| ~ spl28_40 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1070,plain,
( ~ sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0))))
| spl28_40 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1072,plain,
( ~ sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl28_35
| spl28_36 ),
inference(superposition,[],[f1014,f184]) ).
fof(f1075,plain,
( ~ sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| spl28_35
| spl28_36 ),
inference(forward_subsumption_resolution,[],[f1072,f633]) ).
fof(f1080,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(succ(n0)))
| ~ spl28_38 ),
inference(superposition,[],[f1025,f184]) ).
fof(f1083,plain,
( n0 = succ(succ(succ(n0)))
| spl28_35
| spl28_36
| ~ spl28_38 ),
inference(forward_subsumption_resolution,[],[f1080,f1075]) ).
fof(f1084,plain,
( $false
| spl28_33
| spl28_35
| spl28_36
| ~ spl28_38 ),
inference(forward_subsumption_resolution,[],[f1083,f509]) ).
fof(f1085,plain,
( spl28_33
| spl28_35
| spl28_36
| ~ spl28_38 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1097,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0,use),n0))
| ~ spl28_1
| ~ spl28_29 ),
inference(superposition,[],[f291,f486]) ).
fof(f1108,plain,
( sP22(use)
| ~ spl28_1
| ~ spl28_29 ),
inference(forward_demodulation,[],[f1097,f155]) ).
fof(f1109,plain,
( $false
| ~ spl28_1
| ~ spl28_29 ),
inference(forward_subsumption_resolution,[],[f1108,f177]) ).
fof(f1110,plain,
( ~ spl28_1
| ~ spl28_29 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1111,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| ~ spl28_30
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f1015,f1020]) ).
fof(f1115,plain,
( sP22(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0,use),n0))
| ~ spl28_30
| ~ spl28_33
| spl28_37 ),
inference(forward_demodulation,[],[f1111,f510]) ).
fof(f1118,plain,
( sP22(use)
| ~ spl28_30
| ~ spl28_33
| spl28_37 ),
inference(forward_demodulation,[],[f1115,f155]) ).
fof(f1121,plain,
( $false
| ~ spl28_30
| ~ spl28_33
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f1118,f177]) ).
fof(f1122,plain,
( ~ spl28_30
| ~ spl28_33
| spl28_37 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1137,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0))))
| succ(succ(n0)) = succ(succ(succ(succ(n0))))
| ~ spl28_26 ),
inference(superposition,[],[f466,f184]) ).
fof(f1140,plain,
( succ(succ(n0)) = succ(succ(succ(succ(n0))))
| ~ spl28_26
| spl28_40 ),
inference(forward_subsumption_resolution,[],[f1137,f1070]) ).
fof(f1141,plain,
( spl28_39
| ~ spl28_26
| spl28_40 ),
inference(avatar_split_clause,[],[f1140,f1068,f464,f1064]) ).
fof(f1149,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0))))
| succ(succ(n0)) = succ(succ(succ(n0)))
| ~ spl28_40 ),
inference(superposition,[],[f1069,f184]) ).
fof(f1152,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0))))
| spl28_34
| ~ spl28_40 ),
inference(forward_subsumption_resolution,[],[f1149,f518]) ).
fof(f1153,plain,
( sP24(use)
| spl28_34
| ~ spl28_40 ),
inference(forward_demodulation,[],[f1152,f155]) ).
fof(f1154,plain,
( $false
| spl28_34
| ~ spl28_40 ),
inference(forward_subsumption_resolution,[],[f1153,f179]) ).
fof(f1155,plain,
( spl28_34
| ~ spl28_40 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1175,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0)),use),succ(succ(n0))))
| ~ spl28_26
| ~ spl28_39 ),
inference(superposition,[],[f466,f1066]) ).
fof(f1184,plain,
( sP24(use)
| ~ spl28_26
| ~ spl28_39 ),
inference(forward_demodulation,[],[f1175,f155]) ).
fof(f1186,plain,
( $false
| ~ spl28_26
| ~ spl28_39 ),
inference(forward_subsumption_resolution,[],[f1184,f179]) ).
fof(f1187,plain,
( ~ spl28_26
| ~ spl28_39 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1193,plain,
( sP24(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(n0)),use),succ(succ(n0))))
| ~ spl28_3
| ~ spl28_25 ),
inference(superposition,[],[f299,f462]) ).
fof(f1204,plain,
( sP24(use)
| ~ spl28_3
| ~ spl28_25 ),
inference(forward_demodulation,[],[f1193,f155]) ).
fof(f1205,plain,
( $false
| ~ spl28_3
| ~ spl28_25 ),
inference(forward_subsumption_resolution,[],[f1204,f179]) ).
fof(f1206,plain,
( ~ spl28_3
| ~ spl28_25 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1216,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(n0)))))
| succ(succ(succ(n0))) = succ(succ(succ(succ(n0))))
| ~ spl28_22 ),
inference(superposition,[],[f438,f184]) ).
fof(f1219,plain,
( sP25(use)
| succ(succ(succ(n0))) = succ(succ(succ(succ(n0))))
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1216,f155]) ).
fof(f1220,plain,
( succ(succ(succ(n0))) = succ(succ(succ(succ(n0))))
| ~ spl28_22 ),
inference(forward_subsumption_resolution,[],[f1219,f180]) ).
fof(f1235,plain,
( sP25(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(n0))),use),succ(succ(succ(n0)))))
| ~ spl28_22 ),
inference(superposition,[],[f438,f1220]) ).
fof(f1253,plain,
( sP25(use)
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1235,f155]) ).
fof(f1262,plain,
( $false
| ~ spl28_22 ),
inference(forward_subsumption_resolution,[],[f1253,f180]) ).
fof(f1263,plain,
~ spl28_22,
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1279,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| succ(n0) = succ(succ(succ(n0)))
| ~ spl28_13 ),
inference(superposition,[],[f361,f184]) ).
fof(f1282,plain,
( succ(n0) = succ(succ(succ(n0)))
| ~ spl28_13
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f1279,f394]) ).
fof(f1283,plain,
( $false
| ~ spl28_13
| spl28_17
| spl28_18 ),
inference(forward_subsumption_resolution,[],[f1282,f389]) ).
fof(f1284,plain,
( ~ spl28_13
| spl28_17
| spl28_18 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1310,plain,
( succ(n0) != succ(succ(succ(n0)))
| spl28_6
| ~ spl28_17 ),
inference(superposition,[],[f316,f390]) ).
fof(f1328,plain,
( n0 != succ(succ(n0))
| ~ spl28_17
| spl28_37 ),
inference(superposition,[],[f1020,f390]) ).
fof(f1346,plain,
( $false
| spl28_6
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1310,f390]) ).
fof(f1347,plain,
( spl28_6
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1361,plain,
( sP23(a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(n0)))
| succ(n0) = succ(succ(n0))
| ~ spl28_18 ),
inference(superposition,[],[f393,f184]) ).
fof(f1364,plain,
( sP23(use)
| succ(n0) = succ(succ(n0))
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1361,f155]) ).
fof(f1365,plain,
( succ(n0) = succ(succ(n0))
| ~ spl28_18 ),
inference(forward_subsumption_resolution,[],[f1364,f178]) ).
fof(f1395,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(n0),use),succ(n0)))
| ~ spl28_18 ),
inference(superposition,[],[f393,f1365]) ).
fof(f1429,plain,
( sP23(use)
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1395,f155]) ).
fof(f1448,plain,
( $false
| ~ spl28_18 ),
inference(forward_subsumption_resolution,[],[f1429,f178]) ).
fof(f1449,plain,
~ spl28_18,
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1497,plain,
( sP23(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0),use),succ(n0)))
| ~ spl28_7
| ~ spl28_12 ),
inference(superposition,[],[f321,f357]) ).
fof(f1513,plain,
( sP23(use)
| ~ spl28_7
| ~ spl28_12 ),
inference(forward_demodulation,[],[f1497,f155]) ).
fof(f1515,plain,
( $false
| ~ spl28_7
| ~ spl28_12 ),
inference(forward_subsumption_resolution,[],[f1513,f178]) ).
fof(f1516,plain,
( ~ spl28_7
| ~ spl28_12 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1520,plain,
( ~ spl28_35
| ~ spl28_17
| spl28_37 ),
inference(avatar_split_clause,[],[f1328,f1019,f388,f632]) ).
cnf(s1,plain,
( spl28_1
| spl28_2
| spl28_3
| spl28_4
| spl28_5 ),
inference(sat_conversion,[],[f308]) ).
cnf(s2,plain,
( ~ spl28_2
| spl28_6
| spl28_7 ),
inference(sat_conversion,[],[f322]) ).
cnf(s5,plain,
( ~ spl28_2
| ~ spl28_6 ),
inference(sat_conversion,[],[f348]) ).
cnf(s6,plain,
( ~ spl28_7
| spl28_12
| spl28_13 ),
inference(sat_conversion,[],[f362]) ).
cnf(s15,plain,
~ spl28_5,
inference(sat_conversion,[],[f425]) ).
cnf(s16,plain,
( ~ spl28_4
| spl28_21
| spl28_22 ),
inference(sat_conversion,[],[f439]) ).
cnf(s19,plain,
( ~ spl28_3
| spl28_25
| spl28_26 ),
inference(sat_conversion,[],[f467]) ).
cnf(s22,plain,
( ~ spl28_1
| spl28_29
| spl28_30 ),
inference(sat_conversion,[],[f491]) ).
cnf(s28,plain,
( ~ spl28_4
| ~ spl28_21 ),
inference(sat_conversion,[],[f541]) ).
cnf(s37,plain,
( spl28_17
| ~ spl28_35 ),
inference(sat_conversion,[],[f672]) ).
cnf(s49,plain,
( spl28_25
| ~ spl28_34 ),
inference(sat_conversion,[],[f769]) ).
cnf(s60,plain,
( spl28_35
| ~ spl28_36 ),
inference(sat_conversion,[],[f968]) ).
cnf(s63,plain,
( ~ spl28_30
| spl28_37
| spl28_38 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s68,plain,
( ~ spl28_30
| ~ spl28_37 ),
inference(sat_conversion,[],[f1059]) ).
cnf(s70,plain,
( spl28_33
| spl28_35
| spl28_36
| ~ spl28_38 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s73,plain,
( ~ spl28_1
| ~ spl28_29 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s75,plain,
( ~ spl28_30
| ~ spl28_33
| spl28_37 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s76,plain,
( ~ spl28_26
| spl28_39
| spl28_40 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s77,plain,
( spl28_34
| ~ spl28_40 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s80,plain,
( ~ spl28_26
| ~ spl28_39 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s81,plain,
( ~ spl28_3
| ~ spl28_25 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s85,plain,
~ spl28_22,
inference(sat_conversion,[],[f1263]) ).
cnf(s87,plain,
( ~ spl28_13
| spl28_17
| spl28_18 ),
inference(sat_conversion,[],[f1284]) ).
cnf(s92,plain,
( spl28_6
| ~ spl28_17 ),
inference(sat_conversion,[],[f1347]) ).
cnf(s96,plain,
~ spl28_18,
inference(sat_conversion,[],[f1449]) ).
cnf(s101,plain,
( ~ spl28_7
| ~ spl28_12 ),
inference(sat_conversion,[],[f1516]) ).
cnf(s103,plain,
( ~ spl28_17
| ~ spl28_35
| spl28_37 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s109,plain,
( ~ spl28_13
| spl28_17 ),
inference(rat,[],[s87,s96]) ).
cnf(s110,plain,
( ~ spl28_4
| spl28_21 ),
inference(rat,[],[s16,s85]) ).
cnf(s111,plain,
( spl28_1
| spl28_2
| spl28_3
| spl28_4 ),
inference(rat,[],[s1,s15]) ).
cnf(s112,plain,
~ spl28_4,
inference(rat,[],[s110,s28]) ).
cnf(s113,plain,
~ spl28_3,
inference(rat,[],[s76,s80,s77,s19,s49,s81]) ).
cnf(s114,plain,
~ spl28_2,
inference(rat,[],[s6,s101,s109,s2,s92,s5]) ).
cnf(s115,plain,
spl28_1,
inference(rat,[],[s111,s112,s113,s114]) ).
cnf(s116,plain,
~ spl28_29,
inference(rat,[],[s73,s115]) ).
cnf(s117,plain,
spl28_30,
inference(rat,[],[s22,s116,s115]) ).
cnf(s118,plain,
~ spl28_37,
inference(rat,[],[s68,s117]) ).
cnf(s119,plain,
spl28_38,
inference(rat,[],[s63,s118,s117]) ).
cnf(s120,plain,
~ spl28_33,
inference(rat,[],[s75,s118,s117]) ).
cnf(s121,plain,
spl28_35,
inference(rat,[],[s70,s60,s120,s119]) ).
cnf(s123,plain,
~ spl28_17,
inference(rat,[],[s103,s118,s121]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s37,s121,s123]) ).
fof(f1572,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:52:29 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/0.88 % (1816579)Detected formulas, will run a generic FOF schedule.
% 2.44/0.88 % (1816590)dis-21_1_sil=8000:lcm=predicate:random_seed=4165054817:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.44/0.88 % (1816590)Instruction limit reached!
% 2.44/0.88 % (1816590)------------------------------
% 2.44/0.88 % (1816590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/0.88 % (1816590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.88 % (1816590)CaDiCaL version: 2.1.3
% 2.44/0.88 % (1816590)Termination reason: Instruction limit
% 2.44/0.88 % (1816590)Termination phase: Saturation
% 2.44/0.88 % (1816590)Time elapsed: 0.039 s
% 2.44/0.88 % (1816590)Peak memory usage: 89 MB
% 2.44/0.88 % (1816590)Instructions burned: 131 (million)
% 2.44/0.88 % (1816585)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=3252679251:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.44/0.88 % (1816587)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1798696507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.44/0.88 % (1816589)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=908282792:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.44/0.88 % (1816586)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=984982261:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.44/0.88 % (1816584)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=2059184477:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.44/0.88 % (1816588)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4263226036:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.44/0.88 % (1816587)First to succeed.
% 2.44/0.88 % (1816589)Also succeeded, but the first one will report.
% 2.44/0.88 % (1816587)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1816579"
% 2.44/0.88 % (1816588)Instruction limit reached!
% 2.44/0.88 % (1816588)------------------------------
% 2.44/0.88 % (1816588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/0.88 % (1816588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.88 % (1816588)CaDiCaL version: 2.1.3
% 2.44/0.88 % (1816588)Termination reason: Instruction limit
% 2.44/0.88 % (1816588)Termination phase: Saturation
% 2.44/0.88 % (1816588)Time elapsed: 0.067 s
% 2.44/0.88 % (1816588)Peak memory usage: 88 MB
% 2.44/0.88 % (1816588)Instructions burned: 120 (million)
% 2.44/0.88 % (1816592)lrs+10_1_sil=8000:sp=occurrence:random_seed=1270899945:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.44/0.88 % (1816592)Also succeeded, but the first one will report.
% 2.44/0.88 % (1816599)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3702672473:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.44/0.88 % (1816599)Also succeeded, but the first one will report.
% 2.44/0.88 % (1816587)Refutation found. Thanks to Tanya!
% 2.44/0.88 % SZS status Theorem for theBenchmark
% 2.44/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.07 % (1816587)------------------------------
% 3.57/1.07 % (1816587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.07 % (1816587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.07 % (1816587)CaDiCaL version: 2.1.3
% 3.57/1.07 % (1816587)Termination reason: Refutation
% 3.57/1.07 % (1816587)Time elapsed: 0.041 s
% 3.57/1.07 % (1816587)Peak memory usage: 90 MB
% 3.57/1.07 % (1816587)Instructions burned: 79 (million)
% 3.57/1.07 % (1816587)------------------------------
% 3.57/1.07 % (1816587)------------------------------
% 3.57/1.07 % (1816579)Success in time 0.446 s
% 3.57/1.07 % Vampire exiting
%------------------------------------------------------------------------------