%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV096+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 : n015.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 0.84s 0.96s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 37
% Syntax : Number of formulae : 255 ( 122 unt; 36 def)
% Number of atoms : 1402 ( 515 equ)
% Maximal formula atoms : 72 ( 5 avg)
% Number of connectives : 1949 ( 802 ~; 821 |; 284 &)
% ( 36 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 36 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 26 !; 6 ?)
% 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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = 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))
& ! [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 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0008) ).
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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = 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))
& ! [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 ) ) ) ),
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))
| ? [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,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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,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,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))
| ? [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,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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,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,minus(pv5,n1)) ) ),
inference(flattening,[],[f110]) ).
fof(f165,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,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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,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,minus(pv5,n1)) ) ),
inference(rectify,[],[f111]) ).
fof(f166,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,sK3,sK4)
| use != a_select3(z_defuse,sK3,sK4) )
& leq(n0,sK3)
& leq(n0,sK4)
& leq(sK3,n2)
& leq(sK4,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,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,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,minus(pv5,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f165]) ).
fof(f193,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f194,plain,
! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f196,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f166]) ).
fof(f198,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f166]) ).
fof(f199,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f166]) ).
fof(f200,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f166]) ).
fof(f201,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f166]) ).
fof(f202,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f166]) ).
fof(f203,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f166]) ).
fof(f204,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f205,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f166]) ).
fof(f206,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f166]) ).
fof(f207,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f166]) ).
fof(f208,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f166]) ).
fof(f209,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f166]) ).
fof(f210,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f211,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f166]) ).
fof(f212,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f166]) ).
fof(f213,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f166]) ).
fof(f214,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f215,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f216,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f217,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f166]) ).
fof(f218,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f166]) ).
fof(f219,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f166]) ).
fof(f220,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f166]) ).
fof(f221,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f166]) ).
fof(f222,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f166]) ).
fof(f223,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f166]) ).
fof(f224,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f166]) ).
fof(f225,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f166]) ).
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(sK4,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f166]) ).
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(sK3,n2) ),
inference(cnf_transformation,[],[f166]) ).
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))
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f166]) ).
fof(f229,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,sK3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f230,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,sK3,sK4)
| use != a_select3(z_defuse,sK3,sK4) ),
inference(cnf_transformation,[],[f166]) ).
fof(f401,definition,
! [X0,X1] :
( sQ26_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ26_eqProxy])],[equality_proxy_definition]) ).
fof(f402,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,sK3,sK4))
| ~ sQ26_eqProxy(use,a_select3(z_defuse,sK3,sK4)) ),
inference(equality_proxy_replacement,[],[f230,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401]) ).
fof(f403,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK3) ),
inference(equality_proxy_replacement,[],[f229,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401]) ).
fof(f404,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK4) ),
inference(equality_proxy_replacement,[],[f228,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401]) ).
fof(f405,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK3,n2) ),
inference(equality_proxy_replacement,[],[f227,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401]) ).
fof(f406,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK4,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f226,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401,f401]) ).
fof(f407,plain,
sQ26_eqProxy(use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f225,f401]) ).
fof(f408,plain,
sQ26_eqProxy(use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f224,f401]) ).
fof(f409,plain,
sQ26_eqProxy(use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f223,f401]) ).
fof(f410,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f222,f401]) ).
fof(f411,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f221,f401]) ).
fof(f412,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f220,f401]) ).
fof(f413,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f219,f401]) ).
fof(f414,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f218,f401]) ).
fof(f415,plain,
sQ26_eqProxy(use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f217,f401]) ).
fof(f416,plain,
sQ26_eqProxy(use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f216,f401]) ).
fof(f417,plain,
sQ26_eqProxy(use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f215,f401]) ).
fof(f418,plain,
sQ26_eqProxy(use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f214,f401]) ).
fof(f419,plain,
sQ26_eqProxy(use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f213,f401]) ).
fof(f420,plain,
sQ26_eqProxy(use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f212,f401]) ).
fof(f421,plain,
sQ26_eqProxy(use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f211,f401]) ).
fof(f422,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f210,f401]) ).
fof(f423,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f209,f401]) ).
fof(f424,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f208,f401]) ).
fof(f425,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f207,f401]) ).
fof(f426,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f206,f401]) ).
fof(f427,plain,
sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f205,f401]) ).
fof(f428,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f204,f401]) ).
fof(f429,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f203,f401]) ).
fof(f430,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f202,f401]) ).
fof(f431,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f201,f401]) ).
fof(f432,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f200,f401]) ).
fof(f433,plain,
sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f199,f401]) ).
fof(f434,plain,
! [X2,X3] :
( sQ26_eqProxy(use,a_select3(u_defuse,X2,X3))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f194,f401]) ).
fof(f435,plain,
! [X2,X3] :
( sQ26_eqProxy(use,a_select3(z_defuse,X2,X3))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f193,f401]) ).
fof(f514,definition,
( spl27_1
<=> leq(sK4,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f517,definition,
( spl27_2
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f518,plain,
( ~ leq(pv5,minus(n999,n1))
| spl27_2 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f520,definition,
( spl27_3
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f521,plain,
( ~ leq(n0,pv5)
| spl27_3 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f523,definition,
( spl27_4
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f524,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| spl27_4 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,definition,
( spl27_5
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f527,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| spl27_5 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,definition,
( spl27_6
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f530,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| spl27_6 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,definition,
( spl27_7
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f533,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| spl27_7 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f535,definition,
( spl27_8
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).
fof(f536,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| spl27_8 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f538,definition,
( spl27_9
<=> sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f539,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| spl27_9 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,definition,
( spl27_10
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).
fof(f542,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| spl27_10 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,definition,
( spl27_11
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).
fof(f545,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| spl27_11 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,definition,
( spl27_12
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl27_12])],[avatar_definition]) ).
fof(f548,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| spl27_12 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,definition,
( spl27_13
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
fof(f551,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| spl27_13 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,definition,
( spl27_14
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f554,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| spl27_14 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f556,definition,
( spl27_15
<=> sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).
fof(f557,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| spl27_15 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,definition,
( spl27_16
<=> sQ26_eqProxy(use,a_select2(xinit_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl27_16])],[avatar_definition]) ).
fof(f560,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n5))
| spl27_16 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,definition,
( spl27_17
<=> sQ26_eqProxy(use,a_select2(xinit_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl27_17])],[avatar_definition]) ).
fof(f563,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n4))
| spl27_17 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,definition,
( spl27_18
<=> sQ26_eqProxy(use,a_select2(xinit_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl27_18])],[avatar_definition]) ).
fof(f566,plain,
( ~ sQ26_eqProxy(use,a_select2(xinit_defuse,n3))
| spl27_18 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,definition,
( spl27_19
<=> sQ26_eqProxy(use,a_select3(u_defuse,n2,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_19])],[avatar_definition]) ).
fof(f569,plain,
( ~ sQ26_eqProxy(use,a_select3(u_defuse,n2,n0))
| spl27_19 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,definition,
( spl27_20
<=> sQ26_eqProxy(use,a_select3(u_defuse,n1,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f572,plain,
( ~ sQ26_eqProxy(use,a_select3(u_defuse,n1,n0))
| spl27_20 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,definition,
( spl27_21
<=> sQ26_eqProxy(use,a_select3(u_defuse,n0,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f575,plain,
( ~ sQ26_eqProxy(use,a_select3(u_defuse,n0,n0))
| spl27_21 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,definition,
( spl27_22
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n5)) ),
introduced(definition,[new_symbols(definition,[spl27_22])],[avatar_definition]) ).
fof(f578,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n5))
| spl27_22 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,definition,
( spl27_23
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n4)) ),
introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).
fof(f581,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n4))
| spl27_23 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,definition,
( spl27_24
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n3)) ),
introduced(definition,[new_symbols(definition,[spl27_24])],[avatar_definition]) ).
fof(f584,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n3))
| spl27_24 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,definition,
( spl27_25
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl27_25])],[avatar_definition]) ).
fof(f587,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n2))
| spl27_25 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,definition,
( spl27_26
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_26])],[avatar_definition]) ).
fof(f590,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n1))
| spl27_26 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,definition,
( spl27_27
<=> sQ26_eqProxy(use,a_select2(sigma_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_27])],[avatar_definition]) ).
fof(f593,plain,
( ~ sQ26_eqProxy(use,a_select2(sigma_defuse,n0))
| spl27_27 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,definition,
( spl27_28
<=> sQ26_eqProxy(use,a_select2(rho_defuse,n2)) ),
introduced(definition,[new_symbols(definition,[spl27_28])],[avatar_definition]) ).
fof(f596,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n2))
| spl27_28 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f598,definition,
( spl27_29
<=> sQ26_eqProxy(use,a_select2(rho_defuse,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_29])],[avatar_definition]) ).
fof(f599,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n1))
| spl27_29 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,definition,
( spl27_30
<=> sQ26_eqProxy(use,a_select2(rho_defuse,n0)) ),
introduced(definition,[new_symbols(definition,[spl27_30])],[avatar_definition]) ).
fof(f602,plain,
( ~ sQ26_eqProxy(use,a_select2(rho_defuse,n0))
| spl27_30 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f406,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,f526,f523,f520,f517,f514]) ).
fof(f605,definition,
( spl27_31
<=> leq(sK3,n2) ),
introduced(definition,[new_symbols(definition,[spl27_31])],[avatar_definition]) ).
fof(f607,plain,
( spl27_31
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f405,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,f526,f523,f520,f517,f605]) ).
fof(f609,definition,
( spl27_32
<=> leq(n0,sK4) ),
introduced(definition,[new_symbols(definition,[spl27_32])],[avatar_definition]) ).
fof(f611,plain,
( spl27_32
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f404,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,f526,f523,f520,f517,f609]) ).
fof(f613,definition,
( spl27_33
<=> leq(n0,sK3) ),
introduced(definition,[new_symbols(definition,[spl27_33])],[avatar_definition]) ).
fof(f615,plain,
( spl27_33
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f403,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,f526,f523,f520,f517,f613]) ).
fof(f617,definition,
( spl27_34
<=> sQ26_eqProxy(use,a_select3(z_defuse,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl27_34])],[avatar_definition]) ).
fof(f618,plain,
( ~ sQ26_eqProxy(use,a_select3(z_defuse,sK3,sK4))
| spl27_34 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f620,definition,
( spl27_35
<=> sQ26_eqProxy(use,a_select3(u_defuse,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl27_35])],[avatar_definition]) ).
fof(f621,plain,
( ~ sQ26_eqProxy(use,a_select3(u_defuse,sK3,sK4))
| spl27_35 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( ~ spl27_34
| ~ spl27_35
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f402,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,f526,f523,f520,f517,f620,f617]) ).
fof(f623,plain,
( $false
| spl27_2 ),
inference(resolution,[],[f196,f518]) ).
fof(f624,plain,
spl27_2,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f625,plain,
( $false
| spl27_3 ),
inference(resolution,[],[f521,f198]) ).
fof(f626,plain,
spl27_3,
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f627,plain,
( $false
| spl27_4 ),
inference(resolution,[],[f433,f524]) ).
fof(f628,plain,
spl27_4,
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f629,plain,
( $false
| spl27_5 ),
inference(resolution,[],[f527,f432]) ).
fof(f630,plain,
spl27_5,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f631,plain,
( $false
| spl27_6 ),
inference(resolution,[],[f530,f431]) ).
fof(f632,plain,
spl27_6,
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f633,plain,
( $false
| spl27_7 ),
inference(resolution,[],[f533,f430]) ).
fof(f634,plain,
spl27_7,
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f635,plain,
( $false
| spl27_8 ),
inference(resolution,[],[f536,f429]) ).
fof(f636,plain,
spl27_8,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f637,plain,
( $false
| spl27_9 ),
inference(resolution,[],[f539,f428]) ).
fof(f638,plain,
spl27_9,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f639,plain,
( $false
| spl27_10 ),
inference(resolution,[],[f542,f427]) ).
fof(f640,plain,
spl27_10,
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f641,plain,
( $false
| spl27_11 ),
inference(resolution,[],[f545,f426]) ).
fof(f642,plain,
spl27_11,
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f643,plain,
( $false
| spl27_12 ),
inference(resolution,[],[f548,f425]) ).
fof(f644,plain,
spl27_12,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( $false
| spl27_13 ),
inference(resolution,[],[f551,f424]) ).
fof(f646,plain,
spl27_13,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f647,plain,
( $false
| spl27_14 ),
inference(resolution,[],[f554,f423]) ).
fof(f648,plain,
spl27_14,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f649,plain,
( $false
| spl27_15 ),
inference(resolution,[],[f557,f422]) ).
fof(f650,plain,
spl27_15,
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f651,plain,
( $false
| spl27_16 ),
inference(resolution,[],[f560,f421]) ).
fof(f652,plain,
spl27_16,
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f653,plain,
( $false
| spl27_17 ),
inference(resolution,[],[f563,f420]) ).
fof(f654,plain,
spl27_17,
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f655,plain,
( $false
| spl27_18 ),
inference(resolution,[],[f566,f419]) ).
fof(f656,plain,
spl27_18,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f657,plain,
( $false
| spl27_19 ),
inference(resolution,[],[f418,f569]) ).
fof(f658,plain,
spl27_19,
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f659,plain,
( $false
| spl27_20 ),
inference(resolution,[],[f572,f417]) ).
fof(f660,plain,
spl27_20,
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f661,plain,
( $false
| spl27_21 ),
inference(resolution,[],[f575,f416]) ).
fof(f662,plain,
spl27_21,
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( $false
| spl27_22 ),
inference(resolution,[],[f578,f415]) ).
fof(f664,plain,
spl27_22,
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f665,plain,
( $false
| spl27_23 ),
inference(resolution,[],[f581,f414]) ).
fof(f666,plain,
spl27_23,
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f667,plain,
( $false
| spl27_24 ),
inference(resolution,[],[f584,f413]) ).
fof(f668,plain,
spl27_24,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f669,plain,
( $false
| spl27_25 ),
inference(resolution,[],[f587,f412]) ).
fof(f670,plain,
spl27_25,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f671,plain,
( $false
| spl27_26 ),
inference(resolution,[],[f590,f411]) ).
fof(f672,plain,
spl27_26,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f673,plain,
( $false
| spl27_27 ),
inference(resolution,[],[f593,f410]) ).
fof(f674,plain,
spl27_27,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f675,plain,
( $false
| spl27_28 ),
inference(resolution,[],[f596,f409]) ).
fof(f676,plain,
spl27_28,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f677,plain,
( $false
| spl27_29 ),
inference(resolution,[],[f599,f408]) ).
fof(f678,plain,
spl27_29,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f679,plain,
( $false
| spl27_30 ),
inference(resolution,[],[f602,f407]) ).
fof(f680,plain,
spl27_30,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f681,plain,
( ~ leq(n0,sK3)
| ~ leq(n0,sK4)
| ~ leq(sK3,n2)
| ~ leq(sK4,minus(pv5,n1))
| spl27_34 ),
inference(resolution,[],[f435,f618]) ).
fof(f686,plain,
( ~ spl27_1
| ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| spl27_34 ),
inference(avatar_split_clause,[],[f681,f617,f613,f609,f605,f514]) ).
fof(f687,plain,
( ~ leq(n0,sK3)
| ~ leq(n0,sK4)
| ~ leq(sK3,n2)
| ~ leq(sK4,minus(pv5,n1))
| spl27_35 ),
inference(resolution,[],[f621,f434]) ).
fof(f688,plain,
( ~ spl27_1
| ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| spl27_35 ),
inference(avatar_split_clause,[],[f687,f620,f613,f609,f605,f514]) ).
cnf(s1,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30 ),
inference(sat_conversion,[],[f603]) ).
cnf(s2,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30
| spl27_31 ),
inference(sat_conversion,[],[f607]) ).
cnf(s3,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30
| spl27_32 ),
inference(sat_conversion,[],[f611]) ).
cnf(s4,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30
| spl27_33 ),
inference(sat_conversion,[],[f615]) ).
cnf(s5,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_18
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_24
| ~ spl27_25
| ~ spl27_26
| ~ spl27_27
| ~ spl27_28
| ~ spl27_29
| ~ spl27_30
| ~ spl27_34
| ~ spl27_35 ),
inference(sat_conversion,[],[f622]) ).
cnf(s6,plain,
spl27_2,
inference(sat_conversion,[],[f624]) ).
cnf(s7,plain,
spl27_3,
inference(sat_conversion,[],[f626]) ).
cnf(s8,plain,
spl27_4,
inference(sat_conversion,[],[f628]) ).
cnf(s9,plain,
spl27_5,
inference(sat_conversion,[],[f630]) ).
cnf(s10,plain,
spl27_6,
inference(sat_conversion,[],[f632]) ).
cnf(s11,plain,
spl27_7,
inference(sat_conversion,[],[f634]) ).
cnf(s12,plain,
spl27_8,
inference(sat_conversion,[],[f636]) ).
cnf(s13,plain,
spl27_9,
inference(sat_conversion,[],[f638]) ).
cnf(s14,plain,
spl27_10,
inference(sat_conversion,[],[f640]) ).
cnf(s15,plain,
spl27_11,
inference(sat_conversion,[],[f642]) ).
cnf(s16,plain,
spl27_12,
inference(sat_conversion,[],[f644]) ).
cnf(s17,plain,
spl27_13,
inference(sat_conversion,[],[f646]) ).
cnf(s18,plain,
spl27_14,
inference(sat_conversion,[],[f648]) ).
cnf(s19,plain,
spl27_15,
inference(sat_conversion,[],[f650]) ).
cnf(s20,plain,
spl27_16,
inference(sat_conversion,[],[f652]) ).
cnf(s21,plain,
spl27_17,
inference(sat_conversion,[],[f654]) ).
cnf(s22,plain,
spl27_18,
inference(sat_conversion,[],[f656]) ).
cnf(s23,plain,
spl27_19,
inference(sat_conversion,[],[f658]) ).
cnf(s24,plain,
spl27_20,
inference(sat_conversion,[],[f660]) ).
cnf(s25,plain,
spl27_21,
inference(sat_conversion,[],[f662]) ).
cnf(s26,plain,
spl27_22,
inference(sat_conversion,[],[f664]) ).
cnf(s27,plain,
spl27_23,
inference(sat_conversion,[],[f666]) ).
cnf(s28,plain,
spl27_24,
inference(sat_conversion,[],[f668]) ).
cnf(s29,plain,
spl27_25,
inference(sat_conversion,[],[f670]) ).
cnf(s30,plain,
spl27_26,
inference(sat_conversion,[],[f672]) ).
cnf(s31,plain,
spl27_27,
inference(sat_conversion,[],[f674]) ).
cnf(s32,plain,
spl27_28,
inference(sat_conversion,[],[f676]) ).
cnf(s33,plain,
spl27_29,
inference(sat_conversion,[],[f678]) ).
cnf(s34,plain,
spl27_30,
inference(sat_conversion,[],[f680]) ).
cnf(s35,plain,
( ~ spl27_1
| ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| spl27_34 ),
inference(sat_conversion,[],[f686]) ).
cnf(s36,plain,
( ~ spl27_1
| ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| spl27_35 ),
inference(sat_conversion,[],[f688]) ).
cnf(s37,plain,
( ~ spl27_34
| ~ spl27_35 ),
inference(rat,[],[s5,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6]) ).
cnf(s38,plain,
spl27_33,
inference(rat,[],[s4,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6]) ).
cnf(s39,plain,
spl27_32,
inference(rat,[],[s3,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6]) ).
cnf(s40,plain,
spl27_31,
inference(rat,[],[s2,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6]) ).
cnf(s41,plain,
spl27_1,
inference(rat,[],[s1,s34,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6]) ).
cnf(s42,plain,
spl27_35,
inference(rat,[],[s36,s40,s38,s39,s41]) ).
cnf(s43,plain,
spl27_34,
inference(rat,[],[s35,s40,s38,s39,s41]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s37,s42,s43]) ).
fof(f689,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV096+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n015.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 09:56:46 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 0.84/0.96 % (2515029)Detected formulas, will run a generic FOF schedule.
% 0.84/0.96 % (2515040)dis-21_1_sil=8000:lcm=predicate:random_seed=2696339479: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)
% 0.84/0.96 % (2515040)First to succeed.
% 0.84/0.96 % (2515040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2515029"
% 0.84/0.96 % (2515035)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=3448358020:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.84/0.96 % (2515037)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=504043184:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.84/0.96 % (2515036)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=4049018324:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.84/0.96 % (2515038)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=22208220:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.84/0.96 % (2515039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4076933927:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.84/0.96 % (2515034)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=18059563:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.84/0.96 % (2515039)Also succeeded, but the first one will report.
% 0.84/0.96 % (2515038)Also succeeded, but the first one will report.
% 0.84/0.96 % (2515037)Instruction limit reached!
% 0.84/0.96 % (2515037)------------------------------
% 0.84/0.96 % (2515037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.84/0.96 % (2515037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.96 % (2515037)CaDiCaL version: 2.1.3
% 0.84/0.96 % (2515037)Termination reason: Instruction limit
% 0.84/0.96 % (2515037)Termination phase: Saturation
% 0.84/0.96 % (2515037)Time elapsed: 0.055 s
% 0.84/0.96 % (2515037)Peak memory usage: 89 MB
% 0.84/0.96 % (2515037)Instructions burned: 111 (million)
% 0.84/0.96 % (2515040)Refutation found. Thanks to Tanya!
% 0.84/0.96 % SZS status Theorem for theBenchmark
% 0.84/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.16 % (2515040)------------------------------
% 2.62/1.16 % (2515040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.16 % (2515040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.16 % (2515040)CaDiCaL version: 2.1.3
% 2.62/1.16 % (2515040)Termination reason: Refutation
% 2.62/1.16 % (2515040)Time elapsed: 0.007 s
% 2.62/1.16 % (2515040)Peak memory usage: 89 MB
% 2.62/1.16 % (2515040)Instructions burned: 26 (million)
% 2.62/1.16 % (2515040)------------------------------
% 2.62/1.16 % (2515040)------------------------------
% 2.62/1.16 % (2515029)Success in time 0.28 s
% 2.62/1.16 % Vampire exiting
%------------------------------------------------------------------------------