%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV103+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:08:08 PM UTC 2026
% Result : Theorem 4.31s 1.58s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 45
% Syntax : Number of formulae : 306 ( 54 unt; 37 def)
% Number of atoms : 990 ( 185 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 966 ( 282 ~; 611 |; 45 &)
% ( 25 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 39 ( 37 usr; 26 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 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/sandbox/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/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f53,conjecture,
( ( 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_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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
fof(f54,negated_conjecture,
~ ( ( 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_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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f83,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f102,plain,
( ( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& 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 ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,plain,
( ( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) )
& 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 ),
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_defuse,n5),
inference(cnf_transformation,[],[f103]) ).
fof(f120,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f103]) ).
fof(f121,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f103]) ).
fof(f122,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f123,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f124,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f103]) ).
fof(f125,plain,
( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) ),
inference(cnf_transformation,[],[f103]) ).
fof(f126,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f128,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f130,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f132,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f134,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f139,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(f140,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f141,definition,
~ sP1(use),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f142,definition,
~ sP2(use),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f143,definition,
~ sP3(use),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f144,definition,
~ sP4(use),
introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).
fof(f145,definition,
~ sP5(use),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f146,definition,
~ sP6(use),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f147,definition,
~ sP7(use),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f148,definition,
~ sP8(use),
introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).
fof(f149,definition,
~ sP9(use),
introduced(definition,[new_symbols(definition,[sP9])],[inequality_splitting_name_introduction]) ).
fof(f150,definition,
~ sP10(use),
introduced(definition,[new_symbols(definition,[sP10])],[inequality_splitting_name_introduction]) ).
fof(f151,definition,
~ sP11(use),
introduced(definition,[new_symbols(definition,[sP11])],[inequality_splitting_name_introduction]) ).
fof(f152,definition,
~ sP12(use),
introduced(definition,[new_symbols(definition,[sP12])],[inequality_splitting_name_introduction]) ).
fof(f153,plain,
( sP1(a_select3(u_defuse,n0,n0))
| sP2(a_select3(u_defuse,n1,n0))
| sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(inequality_splitting,[],[f125,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141]) ).
fof(f154,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f139]) ).
fof(f155,plain,
use = a_select2(xinit_defuse,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f119,f134]) ).
fof(f156,plain,
use = a_select2(xinit_defuse,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f120,f132]) ).
fof(f157,plain,
use = a_select2(xinit_defuse,succ(succ(succ(n0)))),
inference(forward_demodulation,[],[f121,f130]) ).
fof(f158,plain,
use = a_select3(u_defuse,succ(succ(n0)),n0),
inference(forward_demodulation,[],[f122,f128]) ).
fof(f159,plain,
use = a_select3(u_defuse,succ(n0),n0),
inference(forward_demodulation,[],[f123,f126]) ).
fof(f160,plain,
( sP1(use)
| sP2(a_select3(u_defuse,n1,n0))
| sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f153,f124]) ).
fof(f161,plain,
( sP2(a_select3(u_defuse,n1,n0))
| sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f160,f141]) ).
fof(f162,plain,
( sP2(a_select3(u_defuse,succ(n0),n0))
| sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f161,f126]) ).
fof(f163,plain,
( sP2(use)
| sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f162,f159]) ).
fof(f164,plain,
( sP3(a_select3(u_defuse,n2,n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f163,f142]) ).
fof(f165,plain,
( sP3(a_select3(u_defuse,succ(succ(n0)),n0))
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f164,f128]) ).
fof(f166,plain,
( sP3(use)
| sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f165,f158]) ).
fof(f167,plain,
( sP4(a_select2(xinit_defuse,n3))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f166,f143]) ).
fof(f168,plain,
( sP4(a_select2(xinit_defuse,succ(succ(succ(n0)))))
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f167,f130]) ).
fof(f169,plain,
( sP4(use)
| sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f168,f157]) ).
fof(f170,plain,
( sP5(a_select2(xinit_defuse,n4))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f169,f144]) ).
fof(f171,plain,
( sP5(a_select2(xinit_defuse,succ(succ(succ(succ(n0))))))
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f170,f132]) ).
fof(f172,plain,
( sP5(use)
| sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f171,f156]) ).
fof(f173,plain,
( sP6(a_select2(xinit_defuse,n5))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f172,f145]) ).
fof(f174,plain,
( sP6(a_select2(xinit_defuse,succ(succ(succ(succ(succ(n0)))))))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f173,f134]) ).
fof(f175,plain,
( sP6(use)
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f174,f155]) ).
fof(f176,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_subsumption_resolution,[],[f175,f146]) ).
fof(f177,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f176,f134]) ).
fof(f178,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),succ(succ(succ(succ(succ(n0))))),use),n0))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f177,f132]) ).
fof(f179,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f178,f130]) ).
fof(f180,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f179,f128]) ).
fof(f181,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f180,f126]) ).
fof(f182,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),n2,use),n3,use),n4,use),n5,use),succ(n0)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f181,f126]) ).
fof(f183,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),n2,use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),succ(n0)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f182,f134]) ).
fof(f184,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f183,f132]) ).
fof(f185,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f184,f130]) ).
fof(f186,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f185,f128]) ).
fof(f187,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),succ(succ(n0)),use),n3,use),n4,use),n5,use),succ(succ(n0))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f186,f128]) ).
fof(f188,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),succ(succ(n0)),use),n3,use),n4,use),succ(succ(succ(succ(succ(n0))))),use),succ(succ(n0))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f187,f134]) ).
fof(f189,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f188,f132]) ).
fof(f190,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f189,f130]) ).
fof(f191,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f190,f126]) ).
fof(f192,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),succ(succ(succ(n0))),use),n4,use),n5,use),succ(succ(succ(n0)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f191,f130]) ).
fof(f193,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f192,f134]) ).
fof(f194,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f193,f132]) ).
fof(f195,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f194,f128]) ).
fof(f196,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f195,f126]) ).
fof(f197,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),succ(succ(succ(succ(n0)))),use),n5,use),succ(succ(succ(succ(n0))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f196,f132]) ).
fof(f198,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f197,f134]) ).
fof(f199,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f198,f130]) ).
fof(f200,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f199,f128]) ).
fof(f201,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| sP12(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5)) ),
inference(forward_demodulation,[],[f200,f126]) ).
fof(f202,plain,
( sP12(use)
| sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[],[f201,f140]) ).
fof(f203,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[],[f202,f152]) ).
fof(f205,definition,
( spl13_1
<=> sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_1])],[avatar_definition]) ).
fof(f207,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl13_2
<=> sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_2])],[avatar_definition]) ).
fof(f211,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl13_3
<=> sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_3])],[avatar_definition]) ).
fof(f215,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl13_4
<=> sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_4])],[avatar_definition]) ).
fof(f219,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl13_5
<=> sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_5])],[avatar_definition]) ).
fof(f223,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( spl13_1
| spl13_2
| spl13_3
| spl13_4
| spl13_5 ),
inference(avatar_split_clause,[],[f203,f221,f217,f213,f209,f205]) ).
fof(f225,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_2 ),
inference(superposition,[],[f211,f154]) ).
fof(f231,definition,
( spl13_6
<=> succ(n0) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f232,plain,
( succ(n0) != succ(succ(succ(succ(succ(n0)))))
| spl13_6 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( succ(n0) = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl13_7
<=> sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_7])],[avatar_definition]) ).
fof(f237,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(n0)))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( spl13_6
| spl13_7
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f225,f209,f235,f231]) ).
fof(f258,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))
| ~ spl13_2
| ~ spl13_6 ),
inference(superposition,[],[f211,f233]) ).
fof(f260,plain,
( sP8(use)
| ~ spl13_2
| ~ spl13_6 ),
inference(forward_demodulation,[],[f258,f140]) ).
fof(f261,plain,
( $false
| ~ spl13_2
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f260,f148]) ).
fof(f262,plain,
( ~ spl13_2
| ~ spl13_6 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f263,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0)))
| succ(n0) = succ(succ(succ(succ(n0))))
| ~ spl13_7 ),
inference(superposition,[],[f237,f154]) ).
fof(f269,definition,
( spl13_12
<=> succ(n0) = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f271,plain,
( succ(n0) = succ(succ(succ(succ(n0))))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl13_13
<=> sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f275,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0)))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( spl13_12
| spl13_13
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f263,f235,f273,f269]) ).
fof(f302,definition,
( spl13_17
<=> succ(n0) = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
fof(f303,plain,
( succ(n0) != succ(succ(succ(n0)))
| spl13_17 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( succ(n0) = succ(succ(succ(n0)))
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl13_18
<=> sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f307,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| spl13_18 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_5 ),
inference(superposition,[],[f223,f154]) ).
fof(f315,plain,
( sP11(use)
| succ(succ(succ(succ(n0)))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_5 ),
inference(forward_demodulation,[],[f310,f140]) ).
fof(f326,plain,
( succ(succ(succ(succ(n0)))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f315,f151]) ).
fof(f328,plain,
( sP11(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))))
| ~ spl13_5 ),
inference(superposition,[],[f223,f326]) ).
fof(f335,plain,
( sP11(use)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f328,f140]) ).
fof(f336,plain,
( $false
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f335,f151]) ).
fof(f337,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f338,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_4 ),
inference(superposition,[],[f219,f154]) ).
fof(f344,definition,
( spl13_21
<=> succ(succ(succ(n0))) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f346,plain,
( succ(succ(succ(n0))) = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl13_22
<=> sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_22])],[avatar_definition]) ).
fof(f350,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( spl13_21
| spl13_22
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f338,f217,f348,f344]) ).
fof(f366,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_3 ),
inference(superposition,[],[f215,f154]) ).
fof(f372,definition,
( spl13_25
<=> succ(succ(n0)) = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl13_25])],[avatar_definition]) ).
fof(f373,plain,
( succ(succ(n0)) != succ(succ(succ(succ(succ(n0)))))
| spl13_25 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f374,plain,
( succ(succ(n0)) = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl13_26
<=> sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_26])],[avatar_definition]) ).
fof(f378,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),succ(succ(n0))))
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( spl13_25
| spl13_26
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f366,f213,f376,f372]) ).
fof(f390,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_1 ),
inference(superposition,[],[f207,f154]) ).
fof(f396,definition,
( spl13_29
<=> n0 = succ(succ(succ(succ(succ(n0))))) ),
introduced(definition,[new_symbols(definition,[spl13_29])],[avatar_definition]) ).
fof(f398,plain,
( n0 = succ(succ(succ(succ(succ(n0)))))
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl13_30
<=> sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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,[spl13_30])],[avatar_definition]) ).
fof(f402,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0))
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( spl13_29
| spl13_30
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f390,f205,f400,f396]) ).
fof(f420,definition,
( spl13_33
<=> n0 = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl13_33])],[avatar_definition]) ).
fof(f421,plain,
( n0 != succ(succ(succ(n0)))
| spl13_33 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( n0 = succ(succ(succ(n0)))
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f429,definition,
( spl13_34
<=> succ(succ(n0)) = succ(succ(succ(n0))) ),
introduced(definition,[new_symbols(definition,[spl13_34])],[avatar_definition]) ).
fof(f430,plain,
( succ(succ(n0)) != succ(succ(succ(n0)))
| spl13_34 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( succ(succ(n0)) = succ(succ(succ(n0)))
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f441,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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)))))
| ~ spl13_4
| ~ spl13_21 ),
inference(superposition,[],[f219,f346]) ).
fof(f447,plain,
( sP10(use)
| ~ spl13_4
| ~ spl13_21 ),
inference(forward_demodulation,[],[f441,f140]) ).
fof(f450,plain,
( $false
| ~ spl13_4
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f447,f150]) ).
fof(f451,plain,
( ~ spl13_4
| ~ spl13_21 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f534,definition,
( spl13_35
<=> n0 = succ(succ(n0)) ),
introduced(definition,[new_symbols(definition,[spl13_35])],[avatar_definition]) ).
fof(f535,plain,
( n0 != succ(succ(n0))
| spl13_35 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( n0 = succ(succ(n0))
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl13_36
<=> sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl13_36])],[avatar_definition]) ).
fof(f539,plain,
( ~ sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl13_36 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| ~ spl13_36 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f552,plain,
( succ(n0) != succ(n0)
| spl13_17
| ~ spl13_35 ),
inference(superposition,[],[f303,f536]) ).
fof(f564,plain,
( $false
| spl13_17
| ~ spl13_35 ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f565,plain,
( spl13_17
| ~ spl13_35 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f607,plain,
( succ(succ(n0)) != succ(succ(succ(succ(n0))))
| spl13_25
| ~ spl13_34 ),
inference(forward_demodulation,[],[f373,f431]) ).
fof(f627,plain,
( succ(succ(n0)) != succ(succ(succ(n0)))
| spl13_25
| ~ spl13_34 ),
inference(forward_demodulation,[],[f607,f431]) ).
fof(f647,plain,
( $false
| spl13_25
| ~ spl13_34 ),
inference(forward_subsumption_resolution,[],[f627,f431]) ).
fof(f648,plain,
( spl13_25
| ~ spl13_34 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f719,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| ~ spl13_36 ),
inference(superposition,[],[f540,f154]) ).
fof(f722,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl13_35
| ~ spl13_36 ),
inference(forward_subsumption_resolution,[],[f719,f535]) ).
fof(f738,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl13_35
| ~ spl13_36 ),
inference(superposition,[],[f722,f154]) ).
fof(f741,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| spl13_35
| ~ spl13_36 ),
inference(forward_subsumption_resolution,[],[f738,f535]) ).
fof(f745,plain,
( sP7(a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),n0))
| n0 = succ(succ(n0))
| spl13_35
| ~ spl13_36 ),
inference(superposition,[],[f741,f154]) ).
fof(f748,plain,
( sP7(a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),n0))
| spl13_35
| ~ spl13_36 ),
inference(forward_subsumption_resolution,[],[f745,f535]) ).
fof(f752,plain,
( sP7(a_select2(tptp_update2(sigma_defuse,n0,use),n0))
| n0 = succ(n0)
| spl13_35
| ~ spl13_36 ),
inference(superposition,[],[f748,f154]) ).
fof(f755,plain,
( sP7(use)
| n0 = succ(n0)
| spl13_35
| ~ spl13_36 ),
inference(forward_demodulation,[],[f752,f140]) ).
fof(f756,plain,
( n0 = succ(n0)
| spl13_35
| ~ spl13_36 ),
inference(forward_subsumption_resolution,[],[f755,f147]) ).
fof(f784,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n0,use),succ(n0),use),succ(n0),use),succ(n0),use),n0))
| spl13_35
| ~ spl13_36 ),
inference(superposition,[],[f540,f756]) ).
fof(f791,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n0,use),n0,use),n0,use),n0,use),n0))
| spl13_35
| ~ spl13_36 ),
inference(forward_demodulation,[],[f784,f756]) ).
fof(f818,plain,
( sP7(use)
| spl13_35
| ~ spl13_36 ),
inference(forward_demodulation,[],[f791,f140]) ).
fof(f835,plain,
( $false
| spl13_35
| ~ spl13_36 ),
inference(forward_subsumption_resolution,[],[f818,f147]) ).
fof(f836,plain,
( spl13_35
| ~ spl13_36 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f874,plain,
( ~ sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl13_36 ),
inference(superposition,[],[f539,f154]) ).
fof(f877,plain,
( ~ sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0)),use),n0))
| spl13_35
| spl13_36 ),
inference(forward_subsumption_resolution,[],[f874,f535]) ).
fof(f878,plain,
( ~ sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(n0))
| spl13_35
| spl13_36 ),
inference(superposition,[],[f877,f154]) ).
fof(f881,plain,
( ~ sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| spl13_35
| spl13_36 ),
inference(forward_subsumption_resolution,[],[f878,f535]) ).
fof(f882,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| n0 = succ(succ(succ(succ(n0))))
| ~ spl13_30 ),
inference(superposition,[],[f402,f154]) ).
fof(f886,definition,
( spl13_37
<=> n0 = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl13_37])],[avatar_definition]) ).
fof(f887,plain,
( n0 != succ(succ(succ(succ(n0))))
| spl13_37 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f888,plain,
( n0 = succ(succ(succ(succ(n0))))
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f890,definition,
( spl13_38
<=> sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0)) ),
introduced(definition,[new_symbols(definition,[spl13_38])],[avatar_definition]) ).
fof(f892,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f893,plain,
( spl13_37
| spl13_38
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f882,f400,f890,f886]) ).
fof(f908,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0,use),n0))
| ~ spl13_30
| ~ spl13_37 ),
inference(superposition,[],[f402,f888]) ).
fof(f915,plain,
( sP7(use)
| ~ spl13_30
| ~ spl13_37 ),
inference(forward_demodulation,[],[f908,f140]) ).
fof(f920,plain,
( $false
| ~ spl13_30
| ~ spl13_37 ),
inference(forward_subsumption_resolution,[],[f915,f147]) ).
fof(f921,plain,
( ~ spl13_30
| ~ spl13_37 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f926,definition,
( spl13_39
<=> succ(succ(n0)) = succ(succ(succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl13_39])],[avatar_definition]) ).
fof(f928,plain,
( succ(succ(n0)) = succ(succ(succ(succ(n0))))
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f930,definition,
( spl13_40
<=> sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0)))) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f931,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0))))
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f932,plain,
( ~ sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0))))
| spl13_40 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f934,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0))
| n0 = succ(succ(succ(n0)))
| ~ spl13_38 ),
inference(superposition,[],[f892,f154]) ).
fof(f937,plain,
( n0 = succ(succ(succ(n0)))
| spl13_35
| spl13_36
| ~ spl13_38 ),
inference(forward_subsumption_resolution,[],[f934,f881]) ).
fof(f938,plain,
( $false
| spl13_33
| spl13_35
| spl13_36
| ~ spl13_38 ),
inference(forward_subsumption_resolution,[],[f937,f421]) ).
fof(f939,plain,
( spl13_33
| spl13_35
| spl13_36
| ~ spl13_38 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f949,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(succ(n0)))),use),n0,use),n0))
| ~ spl13_1
| ~ spl13_29 ),
inference(superposition,[],[f207,f398]) ).
fof(f960,plain,
( sP7(use)
| ~ spl13_1
| ~ spl13_29 ),
inference(forward_demodulation,[],[f949,f140]) ).
fof(f961,plain,
( $false
| ~ spl13_1
| ~ spl13_29 ),
inference(forward_subsumption_resolution,[],[f960,f147]) ).
fof(f962,plain,
( ~ spl13_1
| ~ spl13_29 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f963,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),n0))
| ~ spl13_30
| spl13_37 ),
inference(forward_subsumption_resolution,[],[f882,f887]) ).
fof(f967,plain,
( sP7(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),n0,use),n0))
| ~ spl13_30
| ~ spl13_33
| spl13_37 ),
inference(forward_demodulation,[],[f963,f422]) ).
fof(f970,plain,
( sP7(use)
| ~ spl13_30
| ~ spl13_33
| spl13_37 ),
inference(forward_demodulation,[],[f967,f140]) ).
fof(f973,plain,
( $false
| ~ spl13_30
| ~ spl13_33
| spl13_37 ),
inference(forward_subsumption_resolution,[],[f970,f147]) ).
fof(f974,plain,
( ~ spl13_30
| ~ spl13_33
| spl13_37 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f989,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| ~ spl13_26 ),
inference(superposition,[],[f378,f154]) ).
fof(f992,plain,
( succ(succ(n0)) = succ(succ(succ(succ(n0))))
| ~ spl13_26
| spl13_40 ),
inference(forward_subsumption_resolution,[],[f989,f932]) ).
fof(f993,plain,
( spl13_39
| ~ spl13_26
| spl13_40 ),
inference(avatar_split_clause,[],[f992,f930,f376,f926]) ).
fof(f1005,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0))))
| succ(succ(n0)) = succ(succ(succ(n0)))
| ~ spl13_40 ),
inference(superposition,[],[f931,f154]) ).
fof(f1008,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(n0))))
| spl13_34
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1005,f430]) ).
fof(f1009,plain,
( sP9(use)
| spl13_34
| ~ spl13_40 ),
inference(forward_demodulation,[],[f1008,f140]) ).
fof(f1010,plain,
( $false
| spl13_34
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1009,f149]) ).
fof(f1011,plain,
( spl13_34
| ~ spl13_40 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1027,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(n0)),use),succ(succ(n0))))
| ~ spl13_26
| ~ spl13_39 ),
inference(superposition,[],[f378,f928]) ).
fof(f1036,plain,
( sP9(use)
| ~ spl13_26
| ~ spl13_39 ),
inference(forward_demodulation,[],[f1027,f140]) ).
fof(f1038,plain,
( $false
| ~ spl13_26
| ~ spl13_39 ),
inference(forward_subsumption_resolution,[],[f1036,f149]) ).
fof(f1039,plain,
( ~ spl13_26
| ~ spl13_39 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1043,plain,
( sP9(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| ~ spl13_3
| ~ spl13_25 ),
inference(superposition,[],[f215,f374]) ).
fof(f1054,plain,
( sP9(use)
| ~ spl13_3
| ~ spl13_25 ),
inference(forward_demodulation,[],[f1043,f140]) ).
fof(f1055,plain,
( $false
| ~ spl13_3
| ~ spl13_25 ),
inference(forward_subsumption_resolution,[],[f1054,f149]) ).
fof(f1056,plain,
( ~ spl13_3
| ~ spl13_25 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1066,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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))))
| ~ spl13_22 ),
inference(superposition,[],[f350,f154]) ).
fof(f1069,plain,
( sP10(use)
| succ(succ(succ(n0))) = succ(succ(succ(succ(n0))))
| ~ spl13_22 ),
inference(forward_demodulation,[],[f1066,f140]) ).
fof(f1070,plain,
( succ(succ(succ(n0))) = succ(succ(succ(succ(n0))))
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f1069,f150]) ).
fof(f1081,plain,
( sP10(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(succ(succ(n0))),use),succ(succ(succ(n0)))))
| ~ spl13_22 ),
inference(superposition,[],[f350,f1070]) ).
fof(f1099,plain,
( sP10(use)
| ~ spl13_22 ),
inference(forward_demodulation,[],[f1081,f140]) ).
fof(f1108,plain,
( $false
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f1099,f150]) ).
fof(f1109,plain,
~ spl13_22,
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1128,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(n0)))
| succ(n0) = succ(succ(succ(n0)))
| ~ spl13_13 ),
inference(superposition,[],[f275,f154]) ).
fof(f1131,plain,
( succ(n0) = succ(succ(succ(n0)))
| ~ spl13_13
| spl13_18 ),
inference(forward_subsumption_resolution,[],[f1128,f308]) ).
fof(f1132,plain,
( $false
| ~ spl13_13
| spl13_17
| spl13_18 ),
inference(forward_subsumption_resolution,[],[f1131,f303]) ).
fof(f1133,plain,
( ~ spl13_13
| spl13_17
| spl13_18 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1155,plain,
( succ(n0) != succ(succ(succ(n0)))
| spl13_6
| ~ spl13_17 ),
inference(superposition,[],[f232,f304]) ).
fof(f1173,plain,
( n0 != succ(succ(n0))
| ~ spl13_17
| spl13_37 ),
inference(superposition,[],[f887,f304]) ).
fof(f1192,plain,
( $false
| spl13_6
| ~ spl13_17 ),
inference(forward_subsumption_resolution,[],[f1155,f304]) ).
fof(f1193,plain,
( spl13_6
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1207,plain,
( sP8(a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(n0)))
| succ(n0) = succ(succ(n0))
| ~ spl13_18 ),
inference(superposition,[],[f307,f154]) ).
fof(f1210,plain,
( sP8(use)
| succ(n0) = succ(succ(n0))
| ~ spl13_18 ),
inference(forward_demodulation,[],[f1207,f140]) ).
fof(f1211,plain,
( succ(n0) = succ(succ(n0))
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f1210,f148]) ).
fof(f1227,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(n0),use),succ(n0)))
| ~ spl13_18 ),
inference(superposition,[],[f307,f1211]) ).
fof(f1261,plain,
( sP8(use)
| ~ spl13_18 ),
inference(forward_demodulation,[],[f1227,f140]) ).
fof(f1280,plain,
( $false
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f1261,f148]) ).
fof(f1281,plain,
~ spl13_18,
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1320,plain,
( sP8(a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),succ(n0),use),succ(succ(n0)),use),succ(succ(succ(n0))),use),succ(n0),use),succ(n0)))
| ~ spl13_7
| ~ spl13_12 ),
inference(superposition,[],[f237,f271]) ).
fof(f1336,plain,
( sP8(use)
| ~ spl13_7
| ~ spl13_12 ),
inference(forward_demodulation,[],[f1320,f140]) ).
fof(f1338,plain,
( $false
| ~ spl13_7
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f1336,f148]) ).
fof(f1339,plain,
( ~ spl13_7
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1343,plain,
( ~ spl13_35
| ~ spl13_17
| spl13_37 ),
inference(avatar_split_clause,[],[f1173,f886,f302,f534]) ).
cnf(s1,plain,
( spl13_1
| spl13_2
| spl13_3
| spl13_4
| spl13_5 ),
inference(sat_conversion,[],[f224]) ).
cnf(s2,plain,
( ~ spl13_2
| spl13_6
| spl13_7 ),
inference(sat_conversion,[],[f238]) ).
cnf(s5,plain,
( ~ spl13_2
| ~ spl13_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
( ~ spl13_7
| spl13_12
| spl13_13 ),
inference(sat_conversion,[],[f276]) ).
cnf(s15,plain,
~ spl13_5,
inference(sat_conversion,[],[f337]) ).
cnf(s16,plain,
( ~ spl13_4
| spl13_21
| spl13_22 ),
inference(sat_conversion,[],[f351]) ).
cnf(s19,plain,
( ~ spl13_3
| spl13_25
| spl13_26 ),
inference(sat_conversion,[],[f379]) ).
cnf(s22,plain,
( ~ spl13_1
| spl13_29
| spl13_30 ),
inference(sat_conversion,[],[f403]) ).
cnf(s28,plain,
( ~ spl13_4
| ~ spl13_21 ),
inference(sat_conversion,[],[f451]) ).
cnf(s37,plain,
( spl13_17
| ~ spl13_35 ),
inference(sat_conversion,[],[f565]) ).
cnf(s49,plain,
( spl13_25
| ~ spl13_34 ),
inference(sat_conversion,[],[f648]) ).
cnf(s60,plain,
( spl13_35
| ~ spl13_36 ),
inference(sat_conversion,[],[f836]) ).
cnf(s63,plain,
( ~ spl13_30
| spl13_37
| spl13_38 ),
inference(sat_conversion,[],[f893]) ).
cnf(s68,plain,
( ~ spl13_30
| ~ spl13_37 ),
inference(sat_conversion,[],[f921]) ).
cnf(s70,plain,
( spl13_33
| spl13_35
| spl13_36
| ~ spl13_38 ),
inference(sat_conversion,[],[f939]) ).
cnf(s73,plain,
( ~ spl13_1
| ~ spl13_29 ),
inference(sat_conversion,[],[f962]) ).
cnf(s75,plain,
( ~ spl13_30
| ~ spl13_33
| spl13_37 ),
inference(sat_conversion,[],[f974]) ).
cnf(s76,plain,
( ~ spl13_26
| spl13_39
| spl13_40 ),
inference(sat_conversion,[],[f993]) ).
cnf(s77,plain,
( spl13_34
| ~ spl13_40 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s80,plain,
( ~ spl13_26
| ~ spl13_39 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s81,plain,
( ~ spl13_3
| ~ spl13_25 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s85,plain,
~ spl13_22,
inference(sat_conversion,[],[f1109]) ).
cnf(s87,plain,
( ~ spl13_13
| spl13_17
| spl13_18 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s92,plain,
( spl13_6
| ~ spl13_17 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s96,plain,
~ spl13_18,
inference(sat_conversion,[],[f1281]) ).
cnf(s101,plain,
( ~ spl13_7
| ~ spl13_12 ),
inference(sat_conversion,[],[f1339]) ).
cnf(s103,plain,
( ~ spl13_17
| ~ spl13_35
| spl13_37 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s109,plain,
( ~ spl13_13
| spl13_17 ),
inference(rat,[],[s87,s96]) ).
cnf(s110,plain,
( ~ spl13_4
| spl13_21 ),
inference(rat,[],[s16,s85]) ).
cnf(s111,plain,
( spl13_1
| spl13_2
| spl13_3
| spl13_4 ),
inference(rat,[],[s1,s15]) ).
cnf(s112,plain,
~ spl13_4,
inference(rat,[],[s110,s28]) ).
cnf(s113,plain,
~ spl13_3,
inference(rat,[],[s76,s80,s77,s19,s49,s81]) ).
cnf(s114,plain,
~ spl13_2,
inference(rat,[],[s6,s101,s109,s2,s92,s5]) ).
cnf(s115,plain,
spl13_1,
inference(rat,[],[s111,s112,s113,s114]) ).
cnf(s116,plain,
~ spl13_29,
inference(rat,[],[s73,s115]) ).
cnf(s117,plain,
spl13_30,
inference(rat,[],[s22,s116,s115]) ).
cnf(s118,plain,
~ spl13_37,
inference(rat,[],[s68,s117]) ).
cnf(s119,plain,
spl13_38,
inference(rat,[],[s63,s118,s117]) ).
cnf(s120,plain,
~ spl13_33,
inference(rat,[],[s75,s118,s117]) ).
cnf(s121,plain,
spl13_35,
inference(rat,[],[s70,s60,s120,s119]) ).
cnf(s123,plain,
~ spl13_17,
inference(rat,[],[s103,s118,s121]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s37,s121,s123]) ).
fof(f1395,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV103+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n002.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 09:57:07 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.28 Running first-order theorem proving
% 0.08/0.28 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.31/1.57 % (244564)Detected formulas, will run a generic FOF schedule.
% 4.31/1.57 % (244664)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3894453584:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.31/1.57 % (244659)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=1135342114:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.31/1.57 % (244661)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=3524666298:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.31/1.57 % (244666)dis-21_1_sil=8000:lcm=predicate:random_seed=4011372627:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.31/1.57 % (244665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3755707260:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.31/1.57 % (244660)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=405161605:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.31/1.57 % (244663)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3694572930:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.31/1.57 % (244664)Instruction limit reached!
% 4.31/1.57 % (244664)------------------------------
% 4.31/1.57 % (244664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.57 % (244664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.57 % (244664)CaDiCaL version: 2.1.3
% 4.31/1.57 % (244664)Termination reason: Instruction limit
% 4.31/1.57 % (244664)Termination phase: Saturation
% 4.31/1.57 % (244664)Time elapsed: 0.058 s
% 4.31/1.57 % (244664)Peak memory usage: 88 MB
% 4.31/1.57 % (244664)Instructions burned: 119 (million)
% 4.31/1.57 % (244663)First to succeed.
% 4.31/1.57 % (244665)Also succeeded, but the first one will report.
% 4.31/1.57 % (244663)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-244564"
% 4.31/1.57 % (244666)Instruction limit reached!
% 4.31/1.58 % (244666)------------------------------
% 4.31/1.58 % (244666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.58 % (244666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.58 % (244666)CaDiCaL version: 2.1.3
% 4.31/1.58 % (244666)Termination reason: Instruction limit
% 4.31/1.58 % (244666)Termination phase: Saturation
% 4.31/1.58 % (244666)Time elapsed: 0.122 s
% 4.31/1.58 % (244666)Peak memory usage: 89 MB
% 4.31/1.58 % (244666)Instructions burned: 129 (million)
% 4.31/1.58 % (244689)lrs+10_1_sil=8000:sp=occurrence:random_seed=1696585759:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.31/1.58 % (244689)Also succeeded, but the first one will report.
% 4.31/1.58 % (244696)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4207568629:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.31/1.58 % (244696)Also succeeded, but the first one will report.
% 4.31/1.58 % (244663)Refutation found. Thanks to Tanya!
% 4.31/1.58 % SZS status Theorem for theBenchmark
% 4.31/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/1.70 % (244663)------------------------------
% 0.26/1.70 % (244663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/1.70 % (244663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/1.70 % (244663)CaDiCaL version: 2.1.3
% 0.26/1.70 % (244663)Termination reason: Refutation
% 0.26/1.70 % (244663)Time elapsed: 0.059 s
% 0.26/1.70 % (244663)Peak memory usage: 90 MB
% 0.26/1.70 % (244663)Instructions burned: 62 (million)
% 0.26/1.70 % (244663)------------------------------
% 0.26/1.70 % (244663)------------------------------
% 0.26/1.70 % (244564)Success in time 0.682 s
% 0.26/1.70 % Vampire exiting
%------------------------------------------------------------------------------