%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:08 PM UTC 2026
% Result : Theorem 3.10s 1.08s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 172 ( 95 unt; 35 def)
% Number of atoms : 1126 ( 552 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 1603 ( 649 ~; 641 |; 272 &)
% ( 35 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 36 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 24 !; 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(pv5,minus(n999,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/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0011) ).
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,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(f143,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(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,minus(pv5,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,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(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,minus(pv5,n1)) ) ),
inference(flattening,[],[f143]) ).
fof(f197,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(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)) ) ),
inference(rectify,[],[f144]) ).
fof(f198,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,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) )
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,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))
& ! [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,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f309,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| use = a_select3(z_defuse,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f310,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f311,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f198]) ).
fof(f312,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f198]) ).
fof(f313,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f314,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f318,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f319,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f320,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f321,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f322,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f323,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f324,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f325,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f326,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f327,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f328,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f329,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f330,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f331,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f332,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f333,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f334,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f335,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f336,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f337,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f338,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f339,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f340,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(sK32,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f341,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(sK31,n2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f342,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,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f343,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,sK31) ),
inference(cnf_transformation,[],[f198]) ).
fof(f344,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,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f388,definition,
( spl33_1
<=> leq(sK32,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f390,plain,
( leq(sK32,minus(pv5,n1))
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl33_2
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f396,definition,
( spl33_3
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f400,definition,
( spl33_4
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f404,definition,
( spl33_5
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f408,definition,
( spl33_6
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f412,definition,
( spl33_7
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f416,definition,
( spl33_8
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f420,definition,
( spl33_9
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f424,definition,
( spl33_10
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f428,definition,
( spl33_11
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f432,definition,
( spl33_12
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f436,definition,
( spl33_13
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f440,definition,
( spl33_14
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f444,definition,
( spl33_15
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f448,definition,
( spl33_16
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f452,definition,
( spl33_17
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f456,definition,
( spl33_18
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f460,definition,
( spl33_19
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f464,definition,
( spl33_20
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f468,definition,
( spl33_21
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl33_21])],[avatar_definition]) ).
fof(f472,definition,
( spl33_22
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f476,definition,
( spl33_23
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f480,definition,
( spl33_24
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f484,definition,
( spl33_25
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f488,definition,
( spl33_26
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f492,definition,
( spl33_27
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f496,definition,
( spl33_28
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f500,definition,
( spl33_29
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_29])],[avatar_definition]) ).
fof(f504,definition,
( spl33_30
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f507,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f340,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388]) ).
fof(f509,definition,
( spl33_31
<=> leq(sK31,n2) ),
introduced(definition,[new_symbols(definition,[spl33_31])],[avatar_definition]) ).
fof(f511,plain,
( leq(sK31,n2)
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f512,plain,
( spl33_31
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f341,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f509]) ).
fof(f514,definition,
( spl33_32
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_32])],[avatar_definition]) ).
fof(f516,plain,
( leq(n0,sK32)
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( spl33_32
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f342,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f514]) ).
fof(f519,definition,
( spl33_33
<=> leq(n0,sK31) ),
introduced(definition,[new_symbols(definition,[spl33_33])],[avatar_definition]) ).
fof(f521,plain,
( leq(n0,sK31)
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
( spl33_33
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f343,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f519]) ).
fof(f524,definition,
( spl33_34
<=> use = a_select3(z_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f528,definition,
( spl33_35
<=> use = a_select3(u_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_35])],[avatar_definition]) ).
fof(f530,plain,
( use != a_select3(u_defuse,sK31,sK32)
| spl33_35 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,plain,
( ~ spl33_34
| ~ spl33_35
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f344,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f528,f524]) ).
fof(f532,plain,
spl33_3,
inference(avatar_split_clause,[],[f312,f396]) ).
fof(f533,plain,
spl33_2,
inference(avatar_split_clause,[],[f311,f392]) ).
fof(f534,plain,
spl33_4,
inference(avatar_split_clause,[],[f313,f400]) ).
fof(f535,plain,
spl33_5,
inference(avatar_split_clause,[],[f314,f404]) ).
fof(f536,plain,
spl33_6,
inference(avatar_split_clause,[],[f315,f408]) ).
fof(f537,plain,
spl33_7,
inference(avatar_split_clause,[],[f316,f412]) ).
fof(f538,plain,
spl33_8,
inference(avatar_split_clause,[],[f317,f416]) ).
fof(f539,plain,
spl33_9,
inference(avatar_split_clause,[],[f318,f420]) ).
fof(f540,plain,
spl33_10,
inference(avatar_split_clause,[],[f319,f424]) ).
fof(f541,plain,
spl33_11,
inference(avatar_split_clause,[],[f320,f428]) ).
fof(f542,plain,
spl33_12,
inference(avatar_split_clause,[],[f321,f432]) ).
fof(f543,plain,
spl33_13,
inference(avatar_split_clause,[],[f322,f436]) ).
fof(f544,plain,
spl33_14,
inference(avatar_split_clause,[],[f323,f440]) ).
fof(f545,plain,
spl33_15,
inference(avatar_split_clause,[],[f324,f444]) ).
fof(f546,plain,
spl33_16,
inference(avatar_split_clause,[],[f325,f448]) ).
fof(f547,plain,
spl33_17,
inference(avatar_split_clause,[],[f326,f452]) ).
fof(f548,plain,
spl33_18,
inference(avatar_split_clause,[],[f327,f456]) ).
fof(f549,plain,
spl33_22,
inference(avatar_split_clause,[],[f331,f472]) ).
fof(f550,plain,
spl33_23,
inference(avatar_split_clause,[],[f332,f476]) ).
fof(f551,plain,
spl33_24,
inference(avatar_split_clause,[],[f333,f480]) ).
fof(f552,plain,
spl33_25,
inference(avatar_split_clause,[],[f334,f484]) ).
fof(f553,plain,
spl33_26,
inference(avatar_split_clause,[],[f335,f488]) ).
fof(f554,plain,
spl33_27,
inference(avatar_split_clause,[],[f336,f492]) ).
fof(f555,plain,
spl33_28,
inference(avatar_split_clause,[],[f337,f496]) ).
fof(f556,plain,
spl33_29,
inference(avatar_split_clause,[],[f338,f500]) ).
fof(f557,plain,
spl33_30,
inference(avatar_split_clause,[],[f339,f504]) ).
fof(f558,plain,
spl33_19,
inference(avatar_split_clause,[],[f328,f460]) ).
fof(f559,plain,
spl33_20,
inference(avatar_split_clause,[],[f329,f464]) ).
fof(f560,plain,
spl33_21,
inference(avatar_split_clause,[],[f330,f468]) ).
fof(f561,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK32)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_1 ),
inference(resolution,[],[f309,f390]) ).
fof(f580,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_1
| ~ spl33_32 ),
inference(forward_subsumption_resolution,[],[f561,f516]) ).
fof(f581,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK32)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_1 ),
inference(resolution,[],[f310,f390]) ).
fof(f583,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_1
| ~ spl33_32 ),
inference(forward_subsumption_resolution,[],[f581,f516]) ).
fof(f584,plain,
( ~ leq(n0,sK31)
| use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32 ),
inference(resolution,[],[f580,f511]) ).
fof(f585,plain,
( use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(forward_subsumption_resolution,[],[f584,f521]) ).
fof(f588,plain,
( spl33_34
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f585,f519,f514,f509,f388,f524]) ).
fof(f589,plain,
( ~ leq(n0,sK31)
| use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32 ),
inference(resolution,[],[f583,f511]) ).
fof(f590,plain,
( use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(forward_subsumption_resolution,[],[f589,f521]) ).
fof(f591,plain,
( $false
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f590,f530]) ).
fof(f592,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(avatar_contradiction_clause,[],[f591]) ).
cnf(s1,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(sat_conversion,[],[f507]) ).
cnf(s2,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_31 ),
inference(sat_conversion,[],[f512]) ).
cnf(s3,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_32 ),
inference(sat_conversion,[],[f517]) ).
cnf(s4,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_33 ),
inference(sat_conversion,[],[f522]) ).
cnf(s5,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| ~ spl33_34
| ~ spl33_35 ),
inference(sat_conversion,[],[f531]) ).
cnf(s6,plain,
spl33_3,
inference(sat_conversion,[],[f532]) ).
cnf(s7,plain,
spl33_2,
inference(sat_conversion,[],[f533]) ).
cnf(s8,plain,
spl33_4,
inference(sat_conversion,[],[f534]) ).
cnf(s9,plain,
spl33_5,
inference(sat_conversion,[],[f535]) ).
cnf(s10,plain,
spl33_6,
inference(sat_conversion,[],[f536]) ).
cnf(s11,plain,
spl33_7,
inference(sat_conversion,[],[f537]) ).
cnf(s12,plain,
spl33_8,
inference(sat_conversion,[],[f538]) ).
cnf(s13,plain,
spl33_9,
inference(sat_conversion,[],[f539]) ).
cnf(s14,plain,
spl33_10,
inference(sat_conversion,[],[f540]) ).
cnf(s15,plain,
spl33_11,
inference(sat_conversion,[],[f541]) ).
cnf(s16,plain,
spl33_12,
inference(sat_conversion,[],[f542]) ).
cnf(s17,plain,
spl33_13,
inference(sat_conversion,[],[f543]) ).
cnf(s18,plain,
spl33_14,
inference(sat_conversion,[],[f544]) ).
cnf(s19,plain,
spl33_15,
inference(sat_conversion,[],[f545]) ).
cnf(s20,plain,
spl33_16,
inference(sat_conversion,[],[f546]) ).
cnf(s21,plain,
spl33_17,
inference(sat_conversion,[],[f547]) ).
cnf(s22,plain,
spl33_18,
inference(sat_conversion,[],[f548]) ).
cnf(s23,plain,
spl33_22,
inference(sat_conversion,[],[f549]) ).
cnf(s24,plain,
spl33_23,
inference(sat_conversion,[],[f550]) ).
cnf(s25,plain,
spl33_24,
inference(sat_conversion,[],[f551]) ).
cnf(s26,plain,
spl33_25,
inference(sat_conversion,[],[f552]) ).
cnf(s27,plain,
spl33_26,
inference(sat_conversion,[],[f553]) ).
cnf(s28,plain,
spl33_27,
inference(sat_conversion,[],[f554]) ).
cnf(s29,plain,
spl33_28,
inference(sat_conversion,[],[f555]) ).
cnf(s30,plain,
spl33_29,
inference(sat_conversion,[],[f556]) ).
cnf(s31,plain,
spl33_30,
inference(sat_conversion,[],[f557]) ).
cnf(s32,plain,
spl33_19,
inference(sat_conversion,[],[f558]) ).
cnf(s33,plain,
spl33_20,
inference(sat_conversion,[],[f559]) ).
cnf(s34,plain,
spl33_21,
inference(sat_conversion,[],[f560]) ).
cnf(s37,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_34 ),
inference(sat_conversion,[],[f588]) ).
cnf(s38,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(sat_conversion,[],[f592]) ).
cnf(s39,plain,
( ~ spl33_34
| ~ spl33_35 ),
inference(rat,[],[s5,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s40,plain,
spl33_33,
inference(rat,[],[s4,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s41,plain,
spl33_32,
inference(rat,[],[s3,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s42,plain,
spl33_31,
inference(rat,[],[s2,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s43,plain,
spl33_1,
inference(rat,[],[s1,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s44,plain,
spl33_35,
inference(rat,[],[s38,s42,s40,s41,s43]) ).
cnf(s45,plain,
spl33_34,
inference(rat,[],[s37,s42,s40,s41,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s39,s44,s45]) ).
fof(f593,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n011.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:54:01 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/1.08 % (3291892)Detected formulas, will run a generic FOF schedule.
% 3.10/1.08 % (3291899)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=1942517506:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.08 % (3291902)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3567751600:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.08 % (3291901)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2796596376:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.08 % (3291903)dis-21_1_sil=8000:lcm=predicate:random_seed=1747242194: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)
% 3.10/1.08 % (3291900)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1324688108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.08 % (3291897)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=3284804697:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.08 % (3291898)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=885695012:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.08 % (3291902)First to succeed.
% 3.10/1.08 % (3291903)Also succeeded, but the first one will report.
% 3.10/1.08 % (3291902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3291892"
% 3.10/1.08 % (3291901)Also succeeded, but the first one will report.
% 3.10/1.08 % (3291900)Instruction limit reached!
% 3.10/1.08 % (3291900)------------------------------
% 3.10/1.08 % (3291900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.08 % (3291900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.08 % (3291900)CaDiCaL version: 2.1.3
% 3.10/1.08 % (3291900)Termination reason: Instruction limit
% 3.10/1.08 % (3291900)Termination phase: Saturation
% 3.10/1.08 % (3291900)Time elapsed: 0.055 s
% 3.10/1.08 % (3291900)Peak memory usage: 89 MB
% 3.10/1.08 % (3291900)Instructions burned: 110 (million)
% 3.10/1.08 % (3291911)lrs+10_1_sil=8000:sp=occurrence:random_seed=1449660000:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.10/1.08 % (3291911)Also succeeded, but the first one will report.
% 3.10/1.08 % (3291902)Refutation found. Thanks to Tanya!
% 3.10/1.08 % SZS status Theorem for theBenchmark
% 3.10/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.17 % (3291902)------------------------------
% 3.49/1.17 % (3291902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.17 % (3291902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.17 % (3291902)CaDiCaL version: 2.1.3
% 3.49/1.17 % (3291902)Termination reason: Refutation
% 3.49/1.17 % (3291902)Time elapsed: 0.014 s
% 3.49/1.17 % (3291902)Peak memory usage: 90 MB
% 3.49/1.17 % (3291902)Instructions burned: 26 (million)
% 3.49/1.17 % (3291902)------------------------------
% 3.49/1.17 % (3291902)------------------------------
% 3.49/1.17 % (3291892)Success in time 0.423 s
% 3.49/1.17 % Vampire exiting
%------------------------------------------------------------------------------