%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV093+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:06 PM UTC 2026
% Result : Theorem 2.12s 0.72s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 300 ( 123 unt; 44 def)
% Number of atoms : 1705 ( 607 equ)
% Maximal formula atoms : 84 ( 5 avg)
% Number of connectives : 2344 ( 939 ~; 977 |; 375 &)
% ( 43 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 44 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 54 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X6,X7) = use
& a_select3(z_defuse,X6,X7) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0005) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X6,X7) = use
& a_select3(z_defuse,X6,X7) = use ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f110,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f111,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(flattening,[],[f110]) ).
fof(f160,definition,
( ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f161,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| sP0 )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(definition_folding,[],[f111,f160]) ).
fof(f167,plain,
( ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f160]) ).
fof(f168,plain,
( ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) )
| ~ sP0 ),
inference(rectify,[],[f167]) ).
fof(f169,plain,
( ( ( use != a_select3(u_defuse,sK4,sK5)
| use != a_select3(z_defuse,sK4,sK5) )
& leq(n0,sK4)
& leq(n0,sK5)
& leq(sK4,n2)
& leq(sK5,minus(pv5,n1)) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f168]) ).
fof(f170,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
| sP0 )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(rectify,[],[f161]) ).
fof(f171,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( ( use != a_select3(u_defuse,sK6,sK7)
| use != a_select3(z_defuse,sK6,sK7) )
& leq(n0,sK6)
& leq(n0,sK7)
& leq(sK6,n2)
& leq(sK7,pv5) )
| sP0 )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f170]) ).
fof(f198,plain,
( leq(sK5,minus(pv5,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f199,plain,
( leq(sK4,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f200,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f201,plain,
( leq(n0,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f202,plain,
( use != a_select3(u_defuse,sK4,sK5)
| use != a_select3(z_defuse,sK4,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f169]) ).
fof(f203,plain,
! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f204,plain,
! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f205,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f171]) ).
fof(f206,plain,
! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f171]) ).
fof(f208,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f171]) ).
fof(f210,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f171]) ).
fof(f211,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f171]) ).
fof(f212,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f171]) ).
fof(f213,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f171]) ).
fof(f214,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f171]) ).
fof(f215,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f171]) ).
fof(f216,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f217,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f171]) ).
fof(f218,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f171]) ).
fof(f219,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f171]) ).
fof(f220,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f171]) ).
fof(f221,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f171]) ).
fof(f222,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f223,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f171]) ).
fof(f224,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f171]) ).
fof(f225,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f171]) ).
fof(f226,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f227,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f228,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f229,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f171]) ).
fof(f230,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f171]) ).
fof(f231,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f171]) ).
fof(f232,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f171]) ).
fof(f233,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f171]) ).
fof(f234,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f235,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f171]) ).
fof(f236,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f171]) ).
fof(f237,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f171]) ).
fof(f238,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK7,pv5)
| sP0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f239,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK6,n2)
| sP0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f240,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK7)
| sP0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f241,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK6)
| sP0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f242,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select3(u_defuse,sK6,sK7)
| use != a_select3(z_defuse,sK6,sK7)
| sP0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f413,definition,
! [X0,X1] :
( sQ29_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ29_eqProxy])],[equality_proxy_definition]) ).
fof(f414,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5))
| ~ sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f202,f413,f413]) ).
fof(f415,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,sK6,sK7))
| ~ sQ29_eqProxy(use,a_select3(z_defuse,sK6,sK7))
| sP0 ),
inference(equality_proxy_replacement,[],[f242,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413]) ).
fof(f416,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK6)
| sP0 ),
inference(equality_proxy_replacement,[],[f241,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413]) ).
fof(f417,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK7)
| sP0 ),
inference(equality_proxy_replacement,[],[f240,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413]) ).
fof(f418,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK6,n2)
| sP0 ),
inference(equality_proxy_replacement,[],[f239,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413]) ).
fof(f419,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK7,pv5)
| sP0 ),
inference(equality_proxy_replacement,[],[f238,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413,f413]) ).
fof(f420,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f237,f413]) ).
fof(f421,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f236,f413]) ).
fof(f422,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f235,f413]) ).
fof(f423,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f234,f413]) ).
fof(f424,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f233,f413]) ).
fof(f425,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f232,f413]) ).
fof(f426,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f231,f413]) ).
fof(f427,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f230,f413]) ).
fof(f428,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f229,f413]) ).
fof(f429,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f228,f413]) ).
fof(f430,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f227,f413]) ).
fof(f431,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f226,f413]) ).
fof(f432,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f225,f413]) ).
fof(f433,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f224,f413]) ).
fof(f434,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f223,f413]) ).
fof(f435,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f222,f413]) ).
fof(f436,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f221,f413]) ).
fof(f437,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f220,f413]) ).
fof(f438,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f219,f413]) ).
fof(f439,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f218,f413]) ).
fof(f440,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f217,f413]) ).
fof(f441,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f216,f413]) ).
fof(f442,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f215,f413]) ).
fof(f443,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f214,f413]) ).
fof(f444,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f213,f413]) ).
fof(f445,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f212,f413]) ).
fof(f446,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f211,f413]) ).
fof(f447,plain,
! [X2,X3] :
( sQ29_eqProxy(use,a_select3(u_defuse,X2,X3))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(equality_proxy_replacement,[],[f206,f413]) ).
fof(f448,plain,
! [X2,X3] :
( sQ29_eqProxy(use,a_select3(z_defuse,X2,X3))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(equality_proxy_replacement,[],[f205,f413]) ).
fof(f449,plain,
! [X4,X5] :
( sQ29_eqProxy(use,a_select3(u_defuse,X4,X5))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f204,f413]) ).
fof(f450,plain,
! [X4,X5] :
( sQ29_eqProxy(use,a_select3(z_defuse,X4,X5))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f203,f413]) ).
fof(f529,definition,
( spl30_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f532,definition,
( spl30_2
<=> leq(sK7,pv5) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f535,definition,
( spl30_3
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f536,plain,
( ~ leq(pv5,minus(n999,n1))
| spl30_3 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f538,definition,
( spl30_4
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f539,plain,
( ~ leq(n0,pv5)
| spl30_4 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,definition,
( spl30_5
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f542,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| spl30_5 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,definition,
( spl30_6
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f545,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| spl30_6 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,definition,
( spl30_7
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f548,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| spl30_7 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,definition,
( spl30_8
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f551,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| spl30_8 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,definition,
( spl30_9
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f554,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| spl30_9 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f556,definition,
( spl30_10
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_10])],[avatar_definition]) ).
fof(f557,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| spl30_10 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,definition,
( spl30_11
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_11])],[avatar_definition]) ).
fof(f560,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| spl30_11 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,definition,
( spl30_12
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_12])],[avatar_definition]) ).
fof(f563,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| spl30_12 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,definition,
( spl30_13
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_13])],[avatar_definition]) ).
fof(f566,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| spl30_13 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,definition,
( spl30_14
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_14])],[avatar_definition]) ).
fof(f569,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| spl30_14 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,definition,
( spl30_15
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_15])],[avatar_definition]) ).
fof(f572,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| spl30_15 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,definition,
( spl30_16
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).
fof(f575,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| spl30_16 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,definition,
( spl30_17
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_17])],[avatar_definition]) ).
fof(f578,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| spl30_17 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,definition,
( spl30_18
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f581,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| spl30_18 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,definition,
( spl30_19
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_19])],[avatar_definition]) ).
fof(f584,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| spl30_19 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,definition,
( spl30_20
<=> sQ29_eqProxy(use,a_select3(u_defuse,n2,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_20])],[avatar_definition]) ).
fof(f587,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| spl30_20 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,definition,
( spl30_21
<=> sQ29_eqProxy(use,a_select3(u_defuse,n1,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_21])],[avatar_definition]) ).
fof(f590,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| spl30_21 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,definition,
( spl30_22
<=> sQ29_eqProxy(use,a_select3(u_defuse,n0,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_22])],[avatar_definition]) ).
fof(f593,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| spl30_22 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,definition,
( spl30_23
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_23])],[avatar_definition]) ).
fof(f596,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| spl30_23 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f598,definition,
( spl30_24
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_24])],[avatar_definition]) ).
fof(f599,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| spl30_24 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,definition,
( spl30_25
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_25])],[avatar_definition]) ).
fof(f602,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| spl30_25 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f604,definition,
( spl30_26
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_26])],[avatar_definition]) ).
fof(f605,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| spl30_26 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f607,definition,
( spl30_27
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_27])],[avatar_definition]) ).
fof(f608,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| spl30_27 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,definition,
( spl30_28
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_28])],[avatar_definition]) ).
fof(f611,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| spl30_28 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f613,definition,
( spl30_29
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_29])],[avatar_definition]) ).
fof(f614,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| spl30_29 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f616,definition,
( spl30_30
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_30])],[avatar_definition]) ).
fof(f617,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| spl30_30 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,definition,
( spl30_31
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_31])],[avatar_definition]) ).
fof(f620,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| spl30_31 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( spl30_1
| spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f419,f619,f616,f613,f610,f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577,f574,f571,f568,f565,f562,f559,f556,f553,f550,f547,f544,f541,f538,f535,f532,f529]) ).
fof(f623,definition,
( spl30_32
<=> leq(sK6,n2) ),
introduced(definition,[new_symbols(definition,[spl30_32])],[avatar_definition]) ).
fof(f625,plain,
( spl30_1
| spl30_32
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f418,f619,f616,f613,f610,f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577,f574,f571,f568,f565,f562,f559,f556,f553,f550,f547,f544,f541,f538,f535,f623,f529]) ).
fof(f627,definition,
( spl30_33
<=> leq(n0,sK7) ),
introduced(definition,[new_symbols(definition,[spl30_33])],[avatar_definition]) ).
fof(f629,plain,
( spl30_1
| spl30_33
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f417,f619,f616,f613,f610,f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577,f574,f571,f568,f565,f562,f559,f556,f553,f550,f547,f544,f541,f538,f535,f627,f529]) ).
fof(f631,definition,
( spl30_34
<=> leq(n0,sK6) ),
introduced(definition,[new_symbols(definition,[spl30_34])],[avatar_definition]) ).
fof(f633,plain,
( spl30_1
| spl30_34
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f416,f619,f616,f613,f610,f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577,f574,f571,f568,f565,f562,f559,f556,f553,f550,f547,f544,f541,f538,f535,f631,f529]) ).
fof(f635,definition,
( spl30_35
<=> sQ29_eqProxy(use,a_select3(z_defuse,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl30_35])],[avatar_definition]) ).
fof(f636,plain,
( ~ sQ29_eqProxy(use,a_select3(z_defuse,sK6,sK7))
| spl30_35 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f638,definition,
( spl30_36
<=> sQ29_eqProxy(use,a_select3(u_defuse,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl30_36])],[avatar_definition]) ).
fof(f639,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK6,sK7))
| spl30_36 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( spl30_1
| ~ spl30_35
| ~ spl30_36
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(avatar_split_clause,[],[f415,f619,f616,f613,f610,f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577,f574,f571,f568,f565,f562,f559,f556,f553,f550,f547,f544,f541,f538,f535,f638,f635,f529]) ).
fof(f643,definition,
( spl30_37
<=> leq(sK5,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_37])],[avatar_definition]) ).
fof(f645,plain,
( ~ spl30_1
| spl30_37 ),
inference(avatar_split_clause,[],[f198,f643,f529]) ).
fof(f647,definition,
( spl30_38
<=> leq(sK4,n2) ),
introduced(definition,[new_symbols(definition,[spl30_38])],[avatar_definition]) ).
fof(f649,plain,
( ~ spl30_1
| spl30_38 ),
inference(avatar_split_clause,[],[f199,f647,f529]) ).
fof(f651,definition,
( spl30_39
<=> leq(n0,sK5) ),
introduced(definition,[new_symbols(definition,[spl30_39])],[avatar_definition]) ).
fof(f653,plain,
( ~ spl30_1
| spl30_39 ),
inference(avatar_split_clause,[],[f200,f651,f529]) ).
fof(f655,definition,
( spl30_40
<=> leq(n0,sK4) ),
introduced(definition,[new_symbols(definition,[spl30_40])],[avatar_definition]) ).
fof(f657,plain,
( ~ spl30_1
| spl30_40 ),
inference(avatar_split_clause,[],[f201,f655,f529]) ).
fof(f659,definition,
( spl30_41
<=> sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl30_41])],[avatar_definition]) ).
fof(f660,plain,
( ~ sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5))
| spl30_41 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f662,definition,
( spl30_42
<=> sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl30_42])],[avatar_definition]) ).
fof(f663,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5))
| spl30_42 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ spl30_1
| ~ spl30_41
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f414,f662,f659,f529]) ).
fof(f665,plain,
( $false
| spl30_3 ),
inference(resolution,[],[f208,f536]) ).
fof(f666,plain,
spl30_3,
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f667,plain,
( $false
| spl30_4 ),
inference(resolution,[],[f539,f210]) ).
fof(f668,plain,
spl30_4,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f669,plain,
( $false
| spl30_5 ),
inference(resolution,[],[f446,f542]) ).
fof(f670,plain,
spl30_5,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f671,plain,
( $false
| spl30_6 ),
inference(resolution,[],[f545,f445]) ).
fof(f672,plain,
spl30_6,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f673,plain,
( $false
| spl30_7 ),
inference(resolution,[],[f548,f444]) ).
fof(f674,plain,
spl30_7,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f675,plain,
( $false
| spl30_8 ),
inference(resolution,[],[f551,f443]) ).
fof(f676,plain,
spl30_8,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f677,plain,
( $false
| spl30_9 ),
inference(resolution,[],[f554,f442]) ).
fof(f678,plain,
spl30_9,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f679,plain,
( $false
| spl30_10 ),
inference(resolution,[],[f557,f441]) ).
fof(f680,plain,
spl30_10,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f681,plain,
( $false
| spl30_11 ),
inference(resolution,[],[f560,f440]) ).
fof(f682,plain,
spl30_11,
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f683,plain,
( $false
| spl30_12 ),
inference(resolution,[],[f563,f439]) ).
fof(f684,plain,
spl30_12,
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f685,plain,
( $false
| spl30_13 ),
inference(resolution,[],[f566,f438]) ).
fof(f686,plain,
spl30_13,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f687,plain,
( $false
| spl30_14 ),
inference(resolution,[],[f569,f437]) ).
fof(f688,plain,
spl30_14,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f689,plain,
( $false
| spl30_15 ),
inference(resolution,[],[f572,f436]) ).
fof(f690,plain,
spl30_15,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f691,plain,
( $false
| spl30_16 ),
inference(resolution,[],[f575,f435]) ).
fof(f692,plain,
spl30_16,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f693,plain,
( $false
| spl30_17 ),
inference(resolution,[],[f578,f434]) ).
fof(f694,plain,
spl30_17,
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f695,plain,
( $false
| spl30_18 ),
inference(resolution,[],[f581,f433]) ).
fof(f696,plain,
spl30_18,
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f697,plain,
( $false
| spl30_19 ),
inference(resolution,[],[f584,f432]) ).
fof(f698,plain,
spl30_19,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f699,plain,
( $false
| spl30_20 ),
inference(resolution,[],[f431,f587]) ).
fof(f700,plain,
spl30_20,
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f701,plain,
( $false
| spl30_21 ),
inference(resolution,[],[f590,f430]) ).
fof(f702,plain,
spl30_21,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f703,plain,
( $false
| spl30_22 ),
inference(resolution,[],[f593,f429]) ).
fof(f706,plain,
spl30_22,
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f714,plain,
( $false
| spl30_23 ),
inference(resolution,[],[f596,f428]) ).
fof(f715,plain,
spl30_23,
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f716,plain,
( $false
| spl30_24 ),
inference(resolution,[],[f599,f427]) ).
fof(f717,plain,
spl30_24,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f718,plain,
( $false
| spl30_25 ),
inference(resolution,[],[f602,f426]) ).
fof(f719,plain,
spl30_25,
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f720,plain,
( $false
| spl30_26 ),
inference(resolution,[],[f605,f425]) ).
fof(f721,plain,
spl30_26,
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f722,plain,
( $false
| spl30_27 ),
inference(resolution,[],[f608,f424]) ).
fof(f723,plain,
spl30_27,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f724,plain,
( $false
| spl30_28 ),
inference(resolution,[],[f611,f423]) ).
fof(f725,plain,
spl30_28,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f726,plain,
( $false
| spl30_29 ),
inference(resolution,[],[f614,f422]) ).
fof(f727,plain,
spl30_29,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f728,plain,
( $false
| spl30_30 ),
inference(resolution,[],[f617,f421]) ).
fof(f729,plain,
spl30_30,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( $false
| spl30_31 ),
inference(resolution,[],[f620,f420]) ).
fof(f731,plain,
spl30_31,
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f740,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,n2)
| ~ leq(sK5,minus(pv5,n1))
| spl30_42 ),
inference(resolution,[],[f449,f663]) ).
fof(f742,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_42 ),
inference(avatar_split_clause,[],[f740,f662,f655,f651,f647,f643]) ).
fof(f744,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,n2)
| ~ leq(sK5,minus(pv5,n1))
| spl30_41 ),
inference(resolution,[],[f450,f660]) ).
fof(f745,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_41 ),
inference(avatar_split_clause,[],[f744,f659,f655,f651,f647,f643]) ).
fof(f747,plain,
( ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,n2)
| ~ leq(sK7,pv5)
| spl30_35 ),
inference(resolution,[],[f636,f448]) ).
fof(f752,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_35 ),
inference(avatar_split_clause,[],[f747,f635,f631,f627,f623,f532]) ).
fof(f758,plain,
( ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,n2)
| ~ leq(sK7,pv5)
| spl30_36 ),
inference(resolution,[],[f639,f447]) ).
fof(f759,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_36 ),
inference(avatar_split_clause,[],[f758,f638,f631,f627,f623,f532]) ).
cnf(s1,plain,
( spl30_1
| spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31 ),
inference(sat_conversion,[],[f621]) ).
cnf(s2,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31
| spl30_32 ),
inference(sat_conversion,[],[f625]) ).
cnf(s3,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31
| spl30_33 ),
inference(sat_conversion,[],[f629]) ).
cnf(s4,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31
| spl30_34 ),
inference(sat_conversion,[],[f633]) ).
cnf(s5,plain,
( spl30_1
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_13
| ~ spl30_14
| ~ spl30_15
| ~ spl30_16
| ~ spl30_17
| ~ spl30_18
| ~ spl30_19
| ~ spl30_20
| ~ spl30_21
| ~ spl30_22
| ~ spl30_23
| ~ spl30_24
| ~ spl30_25
| ~ spl30_26
| ~ spl30_27
| ~ spl30_28
| ~ spl30_29
| ~ spl30_30
| ~ spl30_31
| ~ spl30_35
| ~ spl30_36 ),
inference(sat_conversion,[],[f640]) ).
cnf(s6,plain,
( ~ spl30_1
| spl30_37 ),
inference(sat_conversion,[],[f645]) ).
cnf(s7,plain,
( ~ spl30_1
| spl30_38 ),
inference(sat_conversion,[],[f649]) ).
cnf(s8,plain,
( ~ spl30_1
| spl30_39 ),
inference(sat_conversion,[],[f653]) ).
cnf(s9,plain,
( ~ spl30_1
| spl30_40 ),
inference(sat_conversion,[],[f657]) ).
cnf(s10,plain,
( ~ spl30_1
| ~ spl30_41
| ~ spl30_42 ),
inference(sat_conversion,[],[f664]) ).
cnf(s11,plain,
spl30_3,
inference(sat_conversion,[],[f666]) ).
cnf(s12,plain,
spl30_4,
inference(sat_conversion,[],[f668]) ).
cnf(s13,plain,
spl30_5,
inference(sat_conversion,[],[f670]) ).
cnf(s14,plain,
spl30_6,
inference(sat_conversion,[],[f672]) ).
cnf(s15,plain,
spl30_7,
inference(sat_conversion,[],[f674]) ).
cnf(s16,plain,
spl30_8,
inference(sat_conversion,[],[f676]) ).
cnf(s17,plain,
spl30_9,
inference(sat_conversion,[],[f678]) ).
cnf(s18,plain,
spl30_10,
inference(sat_conversion,[],[f680]) ).
cnf(s19,plain,
spl30_11,
inference(sat_conversion,[],[f682]) ).
cnf(s20,plain,
spl30_12,
inference(sat_conversion,[],[f684]) ).
cnf(s21,plain,
spl30_13,
inference(sat_conversion,[],[f686]) ).
cnf(s22,plain,
spl30_14,
inference(sat_conversion,[],[f688]) ).
cnf(s23,plain,
spl30_15,
inference(sat_conversion,[],[f690]) ).
cnf(s24,plain,
spl30_16,
inference(sat_conversion,[],[f692]) ).
cnf(s25,plain,
spl30_17,
inference(sat_conversion,[],[f694]) ).
cnf(s26,plain,
spl30_18,
inference(sat_conversion,[],[f696]) ).
cnf(s27,plain,
spl30_19,
inference(sat_conversion,[],[f698]) ).
cnf(s28,plain,
spl30_20,
inference(sat_conversion,[],[f700]) ).
cnf(s29,plain,
spl30_21,
inference(sat_conversion,[],[f702]) ).
cnf(s30,plain,
spl30_22,
inference(sat_conversion,[],[f706]) ).
cnf(s32,plain,
spl30_23,
inference(sat_conversion,[],[f715]) ).
cnf(s33,plain,
spl30_24,
inference(sat_conversion,[],[f717]) ).
cnf(s34,plain,
spl30_25,
inference(sat_conversion,[],[f719]) ).
cnf(s35,plain,
spl30_26,
inference(sat_conversion,[],[f721]) ).
cnf(s36,plain,
spl30_27,
inference(sat_conversion,[],[f723]) ).
cnf(s37,plain,
spl30_28,
inference(sat_conversion,[],[f725]) ).
cnf(s38,plain,
spl30_29,
inference(sat_conversion,[],[f727]) ).
cnf(s39,plain,
spl30_30,
inference(sat_conversion,[],[f729]) ).
cnf(s40,plain,
spl30_31,
inference(sat_conversion,[],[f731]) ).
cnf(s42,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_42 ),
inference(sat_conversion,[],[f742]) ).
cnf(s43,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_41 ),
inference(sat_conversion,[],[f745]) ).
cnf(s44,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_35 ),
inference(sat_conversion,[],[f752]) ).
cnf(s46,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_36 ),
inference(sat_conversion,[],[f759]) ).
cnf(s48,plain,
( spl30_1
| ~ spl30_35
| ~ spl30_36 ),
inference(rat,[],[s5,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s49,plain,
( spl30_1
| spl30_34 ),
inference(rat,[],[s4,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s50,plain,
( spl30_1
| spl30_33 ),
inference(rat,[],[s3,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s51,plain,
( spl30_1
| spl30_32 ),
inference(rat,[],[s2,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s52,plain,
( spl30_1
| spl30_2 ),
inference(rat,[],[s1,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s53,plain,
spl30_1,
inference(rat,[],[s48,s44,s46,s52,s51,s50,s49]) ).
cnf(s54,plain,
spl30_40,
inference(rat,[],[s9,s53]) ).
cnf(s55,plain,
spl30_39,
inference(rat,[],[s8,s53]) ).
cnf(s56,plain,
spl30_38,
inference(rat,[],[s7,s53]) ).
cnf(s57,plain,
spl30_37,
inference(rat,[],[s6,s53]) ).
cnf(s58,plain,
spl30_41,
inference(rat,[],[s43,s56,s54,s55,s57]) ).
cnf(s59,plain,
spl30_42,
inference(rat,[],[s42,s56,s54,s55,s57]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s10,s53,s59,s58]) ).
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV093+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:50:40 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.12/0.72 % (2288763)Detected formulas, will run a generic FOF schedule.
% 2.12/0.72 % (2288774)dis-21_1_sil=8000:lcm=predicate:random_seed=2512159760:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.12/0.72 % (2288774)First to succeed.
% 2.12/0.72 % (2288774)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2288763"
% 2.12/0.72 % (2288768)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=1499851590:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.12/0.72 % (2288771)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3882935819:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.12/0.72 % (2288773)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2395380994:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.12/0.72 % (2288769)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=2989065903:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.12/0.72 % (2288772)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2393616201:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.12/0.72 % (2288770)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=660990532:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.12/0.72 % (2288772)Also succeeded, but the first one will report.
% 2.12/0.72 % (2288771)Instruction limit reached!
% 2.12/0.72 % (2288771)------------------------------
% 2.12/0.72 % (2288771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/0.72 % (2288771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.72 % (2288771)CaDiCaL version: 2.1.3
% 2.12/0.72 % (2288771)Termination reason: Instruction limit
% 2.12/0.72 % (2288771)Termination phase: Saturation
% 2.12/0.72 % (2288771)Time elapsed: 0.054 s
% 2.12/0.72 % (2288771)Peak memory usage: 89 MB
% 2.12/0.72 % (2288771)Instructions burned: 110 (million)
% 2.12/0.72 % (2288773)Instruction limit reached!
% 2.12/0.72 % (2288773)------------------------------
% 2.12/0.72 % (2288773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/0.72 % (2288773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.72 % (2288773)CaDiCaL version: 2.1.3
% 2.12/0.72 % (2288773)Termination reason: Instruction limit
% 2.12/0.72 % (2288773)Termination phase: Saturation
% 2.12/0.72 % (2288773)Time elapsed: 0.085 s
% 2.12/0.72 % (2288773)Peak memory usage: 89 MB
% 2.12/0.72 % (2288773)Instructions burned: 140 (million)
% 2.12/0.72 % (2288774)Refutation found. Thanks to Tanya!
% 2.12/0.72 % SZS status Theorem for theBenchmark
% 2.12/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.81 % (2288774)------------------------------
% 2.42/0.81 % (2288774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/0.81 % (2288774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.81 % (2288774)CaDiCaL version: 2.1.3
% 2.42/0.81 % (2288774)Termination reason: Refutation
% 2.42/0.81 % (2288774)Time elapsed: 0.009 s
% 2.42/0.81 % (2288774)Peak memory usage: 90 MB
% 2.42/0.81 % (2288774)Instructions burned: 29 (million)
% 2.42/0.81 % (2288774)------------------------------
% 2.42/0.81 % (2288774)------------------------------
% 2.42/0.81 % (2288763)Success in time 0.297 s
% 2.42/0.81 % Vampire exiting
%------------------------------------------------------------------------------