%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV097+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 : n012.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 01:08:07 PM UTC 2026
% Result : Theorem 1.87s 0.63s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 300 ( 123 unt; 44 def)
% Number of atoms : 1691 ( 607 equ)
% Maximal formula atoms : 82 ( 5 avg)
% Number of connectives : 2330 ( 939 ~; 977 |; 361 &)
% ( 43 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 44 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 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(pv5,minus(n999,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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
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(pv5,minus(n999,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(f100,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(pv5,minus(n999,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(f101,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(pv5,minus(n999,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,[],[f100]) ).
fof(f148,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(f149,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(pv5,minus(n999,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,[],[f101,f148]) ).
fof(f155,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,[],[f148]) ).
fof(f156,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,[],[f155]) ).
fof(f157,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)],[f156]) ).
fof(f158,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(pv5,minus(n999,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,[],[f149]) ).
fof(f159,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(pv5,minus(n999,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)],[f158]) ).
fof(f186,plain,
( leq(sK5,minus(pv5,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f187,plain,
( leq(sK4,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f188,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f189,plain,
( leq(n0,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f190,plain,
( use != a_select3(u_defuse,sK4,sK5)
| use != a_select3(z_defuse,sK4,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f191,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,[],[f159]) ).
fof(f192,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,[],[f159]) ).
fof(f193,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,[],[f159]) ).
fof(f194,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,[],[f159]) ).
fof(f195,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f159]) ).
fof(f196,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f159]) ).
fof(f197,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f159]) ).
fof(f198,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f159]) ).
fof(f199,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f159]) ).
fof(f200,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f159]) ).
fof(f201,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f159]) ).
fof(f202,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f203,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f159]) ).
fof(f204,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f159]) ).
fof(f205,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f159]) ).
fof(f206,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f159]) ).
fof(f207,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f159]) ).
fof(f208,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f209,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f159]) ).
fof(f210,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f159]) ).
fof(f211,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f159]) ).
fof(f212,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f213,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f214,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f215,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f159]) ).
fof(f216,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f159]) ).
fof(f217,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f159]) ).
fof(f218,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f159]) ).
fof(f219,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f159]) ).
fof(f220,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f221,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f159]) ).
fof(f222,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f159]) ).
fof(f223,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f159]) ).
fof(f224,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,[],[f159]) ).
fof(f225,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,[],[f159]) ).
fof(f226,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,[],[f159]) ).
fof(f227,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,[],[f159]) ).
fof(f228,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,[],[f159]) ).
fof(f390,definition,
! [X0,X1] :
( sQ29_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ29_eqProxy])],[equality_proxy_definition]) ).
fof(f391,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5))
| ~ sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f190,f390,f390]) ).
fof(f392,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,[],[f228,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390]) ).
fof(f393,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,[],[f227,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390]) ).
fof(f394,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,[],[f226,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390]) ).
fof(f395,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,[],[f225,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390]) ).
fof(f396,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,[],[f224,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390,f390]) ).
fof(f397,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f223,f390]) ).
fof(f398,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f222,f390]) ).
fof(f399,plain,
sQ29_eqProxy(use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f221,f390]) ).
fof(f400,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f220,f390]) ).
fof(f401,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f219,f390]) ).
fof(f402,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f218,f390]) ).
fof(f403,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f217,f390]) ).
fof(f404,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f216,f390]) ).
fof(f405,plain,
sQ29_eqProxy(use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f215,f390]) ).
fof(f406,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f214,f390]) ).
fof(f407,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f213,f390]) ).
fof(f408,plain,
sQ29_eqProxy(use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f212,f390]) ).
fof(f409,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f211,f390]) ).
fof(f410,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f210,f390]) ).
fof(f411,plain,
sQ29_eqProxy(use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f209,f390]) ).
fof(f412,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f208,f390]) ).
fof(f413,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f207,f390]) ).
fof(f414,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f206,f390]) ).
fof(f415,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f205,f390]) ).
fof(f416,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f204,f390]) ).
fof(f417,plain,
sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f203,f390]) ).
fof(f418,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f202,f390]) ).
fof(f419,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f201,f390]) ).
fof(f420,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f200,f390]) ).
fof(f421,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f199,f390]) ).
fof(f422,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f198,f390]) ).
fof(f423,plain,
sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f197,f390]) ).
fof(f424,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,[],[f194,f390]) ).
fof(f425,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,[],[f193,f390]) ).
fof(f426,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,[],[f192,f390]) ).
fof(f427,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,[],[f191,f390]) ).
fof(f506,definition,
( spl30_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f509,definition,
( spl30_2
<=> leq(sK7,pv5) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f512,definition,
( spl30_3
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f513,plain,
( ~ leq(pv5,minus(n999,n1))
| spl30_3 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,definition,
( spl30_4
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f516,plain,
( ~ leq(n0,pv5)
| spl30_4 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,definition,
( spl30_5
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f519,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| spl30_5 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl30_6
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f522,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| spl30_6 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,definition,
( spl30_7
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f525,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| spl30_7 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,definition,
( spl30_8
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f528,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| spl30_8 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,definition,
( spl30_9
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f531,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| spl30_9 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f533,definition,
( spl30_10
<=> sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_10])],[avatar_definition]) ).
fof(f534,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| spl30_10 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,definition,
( spl30_11
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_11])],[avatar_definition]) ).
fof(f537,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| spl30_11 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,definition,
( spl30_12
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_12])],[avatar_definition]) ).
fof(f540,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| spl30_12 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f542,definition,
( spl30_13
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_13])],[avatar_definition]) ).
fof(f543,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| spl30_13 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f545,definition,
( spl30_14
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_14])],[avatar_definition]) ).
fof(f546,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| spl30_14 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,definition,
( spl30_15
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_15])],[avatar_definition]) ).
fof(f549,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| spl30_15 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,definition,
( spl30_16
<=> sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).
fof(f552,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| spl30_16 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,definition,
( spl30_17
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_17])],[avatar_definition]) ).
fof(f555,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n5))
| spl30_17 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,definition,
( spl30_18
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f558,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n4))
| spl30_18 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,definition,
( spl30_19
<=> sQ29_eqProxy(use,a_select2(xinit_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_19])],[avatar_definition]) ).
fof(f561,plain,
( ~ sQ29_eqProxy(use,a_select2(xinit_defuse,n3))
| spl30_19 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,definition,
( spl30_20
<=> sQ29_eqProxy(use,a_select3(u_defuse,n2,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_20])],[avatar_definition]) ).
fof(f564,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n2,n0))
| spl30_20 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,definition,
( spl30_21
<=> sQ29_eqProxy(use,a_select3(u_defuse,n1,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_21])],[avatar_definition]) ).
fof(f567,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n1,n0))
| spl30_21 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,definition,
( spl30_22
<=> sQ29_eqProxy(use,a_select3(u_defuse,n0,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_22])],[avatar_definition]) ).
fof(f570,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,n0,n0))
| spl30_22 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,definition,
( spl30_23
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl30_23])],[avatar_definition]) ).
fof(f573,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n5))
| spl30_23 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f575,definition,
( spl30_24
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl30_24])],[avatar_definition]) ).
fof(f576,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n4))
| spl30_24 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,definition,
( spl30_25
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl30_25])],[avatar_definition]) ).
fof(f579,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n3))
| spl30_25 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,definition,
( spl30_26
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_26])],[avatar_definition]) ).
fof(f582,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n2))
| spl30_26 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,definition,
( spl30_27
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_27])],[avatar_definition]) ).
fof(f585,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n1))
| spl30_27 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,definition,
( spl30_28
<=> sQ29_eqProxy(use,a_select2(sigma_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_28])],[avatar_definition]) ).
fof(f588,plain,
( ~ sQ29_eqProxy(use,a_select2(sigma_defuse,n0))
| spl30_28 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f590,definition,
( spl30_29
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl30_29])],[avatar_definition]) ).
fof(f591,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n2))
| spl30_29 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,definition,
( spl30_30
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_30])],[avatar_definition]) ).
fof(f594,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n1))
| spl30_30 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,definition,
( spl30_31
<=> sQ29_eqProxy(use,a_select2(rho_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl30_31])],[avatar_definition]) ).
fof(f597,plain,
( ~ sQ29_eqProxy(use,a_select2(rho_defuse,n0))
| spl30_31 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f598,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,[],[f396,f596,f593,f590,f587,f584,f581,f578,f575,f572,f569,f566,f563,f560,f557,f554,f551,f548,f545,f542,f539,f536,f533,f530,f527,f524,f521,f518,f515,f512,f509,f506]) ).
fof(f600,definition,
( spl30_32
<=> leq(sK6,n2) ),
introduced(definition,[new_symbols(definition,[spl30_32])],[avatar_definition]) ).
fof(f602,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,[],[f395,f596,f593,f590,f587,f584,f581,f578,f575,f572,f569,f566,f563,f560,f557,f554,f551,f548,f545,f542,f539,f536,f533,f530,f527,f524,f521,f518,f515,f512,f600,f506]) ).
fof(f604,definition,
( spl30_33
<=> leq(n0,sK7) ),
introduced(definition,[new_symbols(definition,[spl30_33])],[avatar_definition]) ).
fof(f606,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,[],[f394,f596,f593,f590,f587,f584,f581,f578,f575,f572,f569,f566,f563,f560,f557,f554,f551,f548,f545,f542,f539,f536,f533,f530,f527,f524,f521,f518,f515,f512,f604,f506]) ).
fof(f608,definition,
( spl30_34
<=> leq(n0,sK6) ),
introduced(definition,[new_symbols(definition,[spl30_34])],[avatar_definition]) ).
fof(f610,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,[],[f393,f596,f593,f590,f587,f584,f581,f578,f575,f572,f569,f566,f563,f560,f557,f554,f551,f548,f545,f542,f539,f536,f533,f530,f527,f524,f521,f518,f515,f512,f608,f506]) ).
fof(f612,definition,
( spl30_35
<=> sQ29_eqProxy(use,a_select3(z_defuse,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl30_35])],[avatar_definition]) ).
fof(f613,plain,
( ~ sQ29_eqProxy(use,a_select3(z_defuse,sK6,sK7))
| spl30_35 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f615,definition,
( spl30_36
<=> sQ29_eqProxy(use,a_select3(u_defuse,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl30_36])],[avatar_definition]) ).
fof(f616,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK6,sK7))
| spl30_36 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,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,[],[f392,f596,f593,f590,f587,f584,f581,f578,f575,f572,f569,f566,f563,f560,f557,f554,f551,f548,f545,f542,f539,f536,f533,f530,f527,f524,f521,f518,f515,f512,f615,f612,f506]) ).
fof(f620,definition,
( spl30_37
<=> leq(sK5,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl30_37])],[avatar_definition]) ).
fof(f622,plain,
( ~ spl30_1
| spl30_37 ),
inference(avatar_split_clause,[],[f186,f620,f506]) ).
fof(f624,definition,
( spl30_38
<=> leq(sK4,n2) ),
introduced(definition,[new_symbols(definition,[spl30_38])],[avatar_definition]) ).
fof(f626,plain,
( ~ spl30_1
| spl30_38 ),
inference(avatar_split_clause,[],[f187,f624,f506]) ).
fof(f628,definition,
( spl30_39
<=> leq(n0,sK5) ),
introduced(definition,[new_symbols(definition,[spl30_39])],[avatar_definition]) ).
fof(f630,plain,
( ~ spl30_1
| spl30_39 ),
inference(avatar_split_clause,[],[f188,f628,f506]) ).
fof(f632,definition,
( spl30_40
<=> leq(n0,sK4) ),
introduced(definition,[new_symbols(definition,[spl30_40])],[avatar_definition]) ).
fof(f634,plain,
( ~ spl30_1
| spl30_40 ),
inference(avatar_split_clause,[],[f189,f632,f506]) ).
fof(f636,definition,
( spl30_41
<=> sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl30_41])],[avatar_definition]) ).
fof(f637,plain,
( ~ sQ29_eqProxy(use,a_select3(z_defuse,sK4,sK5))
| spl30_41 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,definition,
( spl30_42
<=> sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl30_42])],[avatar_definition]) ).
fof(f640,plain,
( ~ sQ29_eqProxy(use,a_select3(u_defuse,sK4,sK5))
| spl30_42 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( ~ spl30_1
| ~ spl30_41
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f391,f639,f636,f506]) ).
fof(f642,plain,
( $false
| spl30_3 ),
inference(resolution,[],[f195,f513]) ).
fof(f643,plain,
spl30_3,
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f644,plain,
( $false
| spl30_4 ),
inference(resolution,[],[f516,f196]) ).
fof(f645,plain,
spl30_4,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f646,plain,
( $false
| spl30_5 ),
inference(resolution,[],[f423,f519]) ).
fof(f647,plain,
spl30_5,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f648,plain,
( $false
| spl30_6 ),
inference(resolution,[],[f522,f422]) ).
fof(f649,plain,
spl30_6,
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f650,plain,
( $false
| spl30_7 ),
inference(resolution,[],[f525,f421]) ).
fof(f651,plain,
spl30_7,
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f652,plain,
( $false
| spl30_8 ),
inference(resolution,[],[f528,f420]) ).
fof(f653,plain,
spl30_8,
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f654,plain,
( $false
| spl30_9 ),
inference(resolution,[],[f531,f419]) ).
fof(f655,plain,
spl30_9,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f656,plain,
( $false
| spl30_10 ),
inference(resolution,[],[f534,f418]) ).
fof(f657,plain,
spl30_10,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f658,plain,
( $false
| spl30_11 ),
inference(resolution,[],[f537,f417]) ).
fof(f659,plain,
spl30_11,
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f660,plain,
( $false
| spl30_12 ),
inference(resolution,[],[f540,f416]) ).
fof(f661,plain,
spl30_12,
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f662,plain,
( $false
| spl30_13 ),
inference(resolution,[],[f543,f415]) ).
fof(f663,plain,
spl30_13,
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f664,plain,
( $false
| spl30_14 ),
inference(resolution,[],[f546,f414]) ).
fof(f665,plain,
spl30_14,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f666,plain,
( $false
| spl30_15 ),
inference(resolution,[],[f549,f413]) ).
fof(f667,plain,
spl30_15,
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f668,plain,
( $false
| spl30_16 ),
inference(resolution,[],[f552,f412]) ).
fof(f669,plain,
spl30_16,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f670,plain,
( $false
| spl30_17 ),
inference(resolution,[],[f555,f411]) ).
fof(f671,plain,
spl30_17,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f672,plain,
( $false
| spl30_18 ),
inference(resolution,[],[f558,f410]) ).
fof(f673,plain,
spl30_18,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f674,plain,
( $false
| spl30_19 ),
inference(resolution,[],[f561,f409]) ).
fof(f675,plain,
spl30_19,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f676,plain,
( $false
| spl30_20 ),
inference(resolution,[],[f408,f564]) ).
fof(f677,plain,
spl30_20,
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f678,plain,
( $false
| spl30_21 ),
inference(resolution,[],[f567,f407]) ).
fof(f679,plain,
spl30_21,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f680,plain,
( $false
| spl30_22 ),
inference(resolution,[],[f570,f406]) ).
fof(f681,plain,
spl30_22,
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f682,plain,
( $false
| spl30_23 ),
inference(resolution,[],[f573,f405]) ).
fof(f683,plain,
spl30_23,
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( $false
| spl30_24 ),
inference(resolution,[],[f576,f404]) ).
fof(f685,plain,
spl30_24,
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f686,plain,
( $false
| spl30_25 ),
inference(resolution,[],[f579,f403]) ).
fof(f687,plain,
spl30_25,
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f688,plain,
( $false
| spl30_26 ),
inference(resolution,[],[f582,f402]) ).
fof(f689,plain,
spl30_26,
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f690,plain,
( $false
| spl30_27 ),
inference(resolution,[],[f585,f401]) ).
fof(f691,plain,
spl30_27,
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f692,plain,
( $false
| spl30_28 ),
inference(resolution,[],[f588,f400]) ).
fof(f693,plain,
spl30_28,
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f694,plain,
( $false
| spl30_29 ),
inference(resolution,[],[f591,f399]) ).
fof(f695,plain,
spl30_29,
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f696,plain,
( $false
| spl30_30 ),
inference(resolution,[],[f594,f398]) ).
fof(f697,plain,
spl30_30,
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f698,plain,
( $false
| spl30_31 ),
inference(resolution,[],[f597,f397]) ).
fof(f699,plain,
spl30_31,
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f708,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,n2)
| ~ leq(sK5,minus(pv5,n1))
| spl30_42 ),
inference(resolution,[],[f426,f640]) ).
fof(f710,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_42 ),
inference(avatar_split_clause,[],[f708,f639,f632,f628,f624,f620]) ).
fof(f712,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,n2)
| ~ leq(sK5,minus(pv5,n1))
| spl30_41 ),
inference(resolution,[],[f427,f637]) ).
fof(f713,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_41 ),
inference(avatar_split_clause,[],[f712,f636,f632,f628,f624,f620]) ).
fof(f715,plain,
( ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,n2)
| ~ leq(sK7,pv5)
| spl30_35 ),
inference(resolution,[],[f613,f425]) ).
fof(f720,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_35 ),
inference(avatar_split_clause,[],[f715,f612,f608,f604,f600,f509]) ).
fof(f726,plain,
( ~ leq(n0,sK6)
| ~ leq(n0,sK7)
| ~ leq(sK6,n2)
| ~ leq(sK7,pv5)
| spl30_36 ),
inference(resolution,[],[f616,f424]) ).
fof(f727,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_36 ),
inference(avatar_split_clause,[],[f726,f615,f608,f604,f600,f509]) ).
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,[],[f598]) ).
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,[],[f602]) ).
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,[],[f606]) ).
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,[],[f610]) ).
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,[],[f617]) ).
cnf(s6,plain,
( ~ spl30_1
| spl30_37 ),
inference(sat_conversion,[],[f622]) ).
cnf(s7,plain,
( ~ spl30_1
| spl30_38 ),
inference(sat_conversion,[],[f626]) ).
cnf(s8,plain,
( ~ spl30_1
| spl30_39 ),
inference(sat_conversion,[],[f630]) ).
cnf(s9,plain,
( ~ spl30_1
| spl30_40 ),
inference(sat_conversion,[],[f634]) ).
cnf(s10,plain,
( ~ spl30_1
| ~ spl30_41
| ~ spl30_42 ),
inference(sat_conversion,[],[f641]) ).
cnf(s11,plain,
spl30_3,
inference(sat_conversion,[],[f643]) ).
cnf(s12,plain,
spl30_4,
inference(sat_conversion,[],[f645]) ).
cnf(s13,plain,
spl30_5,
inference(sat_conversion,[],[f647]) ).
cnf(s14,plain,
spl30_6,
inference(sat_conversion,[],[f649]) ).
cnf(s15,plain,
spl30_7,
inference(sat_conversion,[],[f651]) ).
cnf(s16,plain,
spl30_8,
inference(sat_conversion,[],[f653]) ).
cnf(s17,plain,
spl30_9,
inference(sat_conversion,[],[f655]) ).
cnf(s18,plain,
spl30_10,
inference(sat_conversion,[],[f657]) ).
cnf(s19,plain,
spl30_11,
inference(sat_conversion,[],[f659]) ).
cnf(s20,plain,
spl30_12,
inference(sat_conversion,[],[f661]) ).
cnf(s21,plain,
spl30_13,
inference(sat_conversion,[],[f663]) ).
cnf(s22,plain,
spl30_14,
inference(sat_conversion,[],[f665]) ).
cnf(s23,plain,
spl30_15,
inference(sat_conversion,[],[f667]) ).
cnf(s24,plain,
spl30_16,
inference(sat_conversion,[],[f669]) ).
cnf(s25,plain,
spl30_17,
inference(sat_conversion,[],[f671]) ).
cnf(s26,plain,
spl30_18,
inference(sat_conversion,[],[f673]) ).
cnf(s27,plain,
spl30_19,
inference(sat_conversion,[],[f675]) ).
cnf(s28,plain,
spl30_20,
inference(sat_conversion,[],[f677]) ).
cnf(s29,plain,
spl30_21,
inference(sat_conversion,[],[f679]) ).
cnf(s30,plain,
spl30_22,
inference(sat_conversion,[],[f681]) ).
cnf(s31,plain,
spl30_23,
inference(sat_conversion,[],[f683]) ).
cnf(s32,plain,
spl30_24,
inference(sat_conversion,[],[f685]) ).
cnf(s33,plain,
spl30_25,
inference(sat_conversion,[],[f687]) ).
cnf(s34,plain,
spl30_26,
inference(sat_conversion,[],[f689]) ).
cnf(s35,plain,
spl30_27,
inference(sat_conversion,[],[f691]) ).
cnf(s36,plain,
spl30_28,
inference(sat_conversion,[],[f693]) ).
cnf(s37,plain,
spl30_29,
inference(sat_conversion,[],[f695]) ).
cnf(s38,plain,
spl30_30,
inference(sat_conversion,[],[f697]) ).
cnf(s39,plain,
spl30_31,
inference(sat_conversion,[],[f699]) ).
cnf(s41,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_42 ),
inference(sat_conversion,[],[f710]) ).
cnf(s42,plain,
( ~ spl30_37
| ~ spl30_38
| ~ spl30_39
| ~ spl30_40
| spl30_41 ),
inference(sat_conversion,[],[f713]) ).
cnf(s43,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_35 ),
inference(sat_conversion,[],[f720]) ).
cnf(s45,plain,
( ~ spl30_2
| ~ spl30_32
| ~ spl30_33
| ~ spl30_34
| spl30_36 ),
inference(sat_conversion,[],[f727]) ).
cnf(s47,plain,
( spl30_1
| ~ spl30_35
| ~ spl30_36 ),
inference(rat,[],[s5,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11]) ).
cnf(s48,plain,
( spl30_1
| spl30_34 ),
inference(rat,[],[s4,s39,s38,s37,s36,s35,s34,s33,s32,s31,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_33 ),
inference(rat,[],[s3,s39,s38,s37,s36,s35,s34,s33,s32,s31,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_32 ),
inference(rat,[],[s2,s39,s38,s37,s36,s35,s34,s33,s32,s31,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_2 ),
inference(rat,[],[s1,s39,s38,s37,s36,s35,s34,s33,s32,s31,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,
inference(rat,[],[s47,s43,s45,s51,s50,s49,s48]) ).
cnf(s53,plain,
spl30_40,
inference(rat,[],[s9,s52]) ).
cnf(s54,plain,
spl30_39,
inference(rat,[],[s8,s52]) ).
cnf(s55,plain,
spl30_38,
inference(rat,[],[s7,s52]) ).
cnf(s56,plain,
spl30_37,
inference(rat,[],[s6,s52]) ).
cnf(s57,plain,
spl30_41,
inference(rat,[],[s42,s55,s53,s54,s56]) ).
cnf(s58,plain,
spl30_42,
inference(rat,[],[s41,s55,s53,s54,s56]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s10,s52,s58,s57]) ).
fof(f729,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV097+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 09:53:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 1.87/0.63 % (3272610)Detected formulas, will run a generic FOF schedule.
% 1.87/0.63 % (3272619)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3795730670:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.87/0.63 % (3272616)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=2631120537:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.87/0.63 % (3272621)dis-21_1_sil=8000:lcm=predicate:random_seed=1830388562: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)
% 1.87/0.63 % (3272618)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2011060590:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.87/0.63 % (3272617)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=3487499049:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.87/0.63 % (3272615)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=1468165871:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.87/0.63 % (3272620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3986202760:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.87/0.63 % (3272621)First to succeed.
% 1.87/0.63 % (3272621)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3272610"
% 1.87/0.63 % (3272619)Also succeeded, but the first one will report.
% 1.87/0.63 % (3272618)Instruction limit reached!
% 1.87/0.63 % (3272618)------------------------------
% 1.87/0.63 % (3272618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/0.63 % (3272618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.63 % (3272618)CaDiCaL version: 2.1.3
% 1.87/0.63 % (3272618)Termination reason: Instruction limit
% 1.87/0.63 % (3272618)Termination phase: Saturation
% 1.87/0.63 % (3272618)Time elapsed: 0.028 s
% 1.87/0.63 % (3272618)Peak memory usage: 89 MB
% 1.87/0.63 % (3272618)Instructions burned: 110 (million)
% 1.87/0.63 % (3272620)Instruction limit reached!
% 1.87/0.63 % (3272620)------------------------------
% 1.87/0.63 % (3272620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/0.63 % (3272620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.63 % (3272620)CaDiCaL version: 2.1.3
% 1.87/0.63 % (3272620)Termination reason: Instruction limit
% 1.87/0.63 % (3272620)Termination phase: Saturation
% 1.87/0.63 % (3272620)Time elapsed: 0.049 s
% 1.87/0.63 % (3272620)Peak memory usage: 90 MB
% 1.87/0.63 % (3272620)Instructions burned: 141 (million)
% 1.87/0.63 % (3272629)lrs+10_1_sil=8000:sp=occurrence:random_seed=3622588828:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.87/0.63 % (3272621)Refutation found. Thanks to Tanya!
% 1.87/0.63 % SZS status Theorem for theBenchmark
% 1.87/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.72 % (3272621)------------------------------
% 2.34/0.72 % (3272621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.72 % (3272621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.72 % (3272621)CaDiCaL version: 2.1.3
% 2.34/0.72 % (3272621)Termination reason: Refutation
% 2.34/0.72 % (3272621)Time elapsed: 0.008 s
% 2.34/0.72 % (3272621)Peak memory usage: 89 MB
% 2.34/0.72 % (3272621)Instructions burned: 28 (million)
% 2.34/0.72 % (3272621)------------------------------
% 2.34/0.72 % (3272621)------------------------------
% 2.34/0.72 % (3272610)Success in time 0.3 s
% 2.34/0.72 % Vampire exiting
%------------------------------------------------------------------------------