%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 : Fri Sep 25 03:16:25 PM UTC 2026
% Result : Theorem 3.83s 1.28s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 106 ( 73 unt; 2 def)
% Number of atoms : 882 ( 702 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 1239 ( 486 ~; 475 |; 272 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 36 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X0,X1] :
( ( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( a_select3(z_defuse,X2,X3) = use
& a_select3(u_defuse,X2,X3) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0011) ).
fof(f54,negated_conjecture,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( a_select3(z_defuse,X2,X3) = use
& a_select3(u_defuse,X2,X3) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ! [X0,X1] :
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ? [X2,X3] :
( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2)
& ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) ) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ! [X0,X1] :
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ? [X2,X3] :
( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2)
& ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) ) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ? [X0,X1] :
( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) ) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( ! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ( leq(sK32,minus(pv5,n1))
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31)
& ( use != a_select3(z_defuse,sK31,sK32)
| use != a_select3(u_defuse,sK31,sK32) ) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ) ),
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(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f310,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| 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,
( leq(sK32,minus(pv5,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
( leq(sK31,n2)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
( leq(n0,sK32)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
( leq(n0,sK31)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
( use != a_select3(z_defuse,sK31,sK32)
| use != a_select3(u_defuse,sK31,sK32)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_157,negated_conjecture,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(z_defuse,sK31,sK32) != use )
| ( a_select3(u_defuse,sK31,sK32) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_158,negated_conjecture,
( leq(n0,sK31)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_159,negated_conjecture,
( leq(n0,sK32)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_160,negated_conjecture,
( leq(sK31,n2)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_161,negated_conjecture,
( leq(sK32,minus(pv5,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select2(xinit_noise_defuse,n5) != use )
| ( a_select2(xinit_noise_defuse,n4) != use )
| ( a_select2(xinit_noise_defuse,n3) != use )
| ( a_select2(xinit_noise_defuse,n2) != use )
| ( a_select2(xinit_noise_defuse,n0) != use )
| ( a_select2(xinit_noise_defuse,n1) != use )
| ( a_select2(xinit_mean_defuse,n5) != use )
| ( a_select2(xinit_mean_defuse,n4) != use )
| ( a_select2(xinit_mean_defuse,n3) != use )
| ( a_select2(xinit_mean_defuse,n2) != use )
| ( a_select2(xinit_mean_defuse,n0) != use )
| ( a_select2(xinit_mean_defuse,n1) != use )
| ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_162,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f339]) ).
tcf(c_163,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f338]) ).
tcf(c_164,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f337]) ).
tcf(c_165,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f336]) ).
tcf(c_166,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f335]) ).
tcf(c_167,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f334]) ).
tcf(c_168,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f333]) ).
tcf(c_169,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f332]) ).
tcf(c_170,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f331]) ).
tcf(c_171,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f330]) ).
tcf(c_172,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f329]) ).
tcf(c_173,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f328]) ).
tcf(c_174,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f327]) ).
tcf(c_175,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f326]) ).
tcf(c_176,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f325]) ).
tcf(c_177,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f324]) ).
tcf(c_178,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f323]) ).
tcf(c_179,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f322]) ).
tcf(c_180,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f321]) ).
tcf(c_181,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f320]) ).
tcf(c_182,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f319]) ).
tcf(c_183,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f318]) ).
tcf(c_184,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f317]) ).
tcf(c_185,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f316]) ).
tcf(c_186,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f315]) ).
tcf(c_187,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f314]) ).
tcf(c_188,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f313]) ).
tcf(c_189,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f312]) ).
tcf(c_190,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f311]) ).
tcf(c_191,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X1,X0) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_192,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X1,X0) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_323,negated_conjecture,
leq(sK31,n2),
inference(global_subsumption_just,[status(thm)],[c_160,c_189,c_190,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_160]) ).
tcf(c_325,negated_conjecture,
leq(n0,sK32),
inference(global_subsumption_just,[status(thm)],[c_159,c_189,c_190,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_159]) ).
tcf(c_327,negated_conjecture,
leq(n0,sK31),
inference(global_subsumption_just,[status(thm)],[c_158,c_189,c_190,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_158]) ).
tcf(c_329,negated_conjecture,
leq(sK32,minus(pv5,n1)),
inference(global_subsumption_just,[status(thm)],[c_161,c_189,c_190,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_161]) ).
tcf(c_331,negated_conjecture,
( ( a_select3(z_defuse,sK31,sK32) != use )
| ( a_select3(u_defuse,sK31,sK32) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_157,c_189,c_190,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_173,c_172,c_171,c_157]) ).
tcf(c_417,plain,
( ( a_select3(z_defuse,sK31,sK32) != use )
| ( a_select3(u_defuse,sK31,sK32) != use ) ),
inference(prop_impl_just,[status(thm)],[c_331]) ).
tcf(c_6007,definition,
iPr_def_10 = minus(pv5,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_6009,definition,
iPr_def_12 = a_select2(xinit_noise_defuse,n5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6036,negated_conjecture,
leq(sK32,iPr_def_10),
inference(demodulation,[status(thm)],[c_329,c_6007]) ).
tcf(c_6037,negated_conjecture,
leq(n0,sK31),
inference(demodulation,[status(thm)],[c_327]) ).
tcf(c_6038,negated_conjecture,
leq(n0,sK32),
inference(demodulation,[status(thm)],[c_325]) ).
tcf(c_6039,negated_conjecture,
leq(sK31,n2),
inference(demodulation,[status(thm)],[c_323]) ).
tcf(c_6040,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X1,X0) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_192]) ).
tcf(c_6041,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X1,X0) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_191]) ).
tcf(c_6044,negated_conjecture,
iPr_def_12 = use,
inference(demodulation,[status(thm)],[c_188,c_6009]) ).
tcf(c_9363,plain,
( ( a_select3(z_defuse,sK31,sK32) != iPr_def_12 )
| ( a_select3(u_defuse,sK31,sK32) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_417,c_6044]) ).
tcf(c_9391,plain,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X1,X0) = iPr_def_12 )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6040,c_6044]) ).
tcf(c_9410,plain,
! [X0: $i] :
( ( a_select3(z_defuse,X0,sK32) = iPr_def_12 )
| ~ leq(sK32,iPr_def_10)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_6038,c_9391]) ).
tcf(c_9411,plain,
! [X0: $i] :
( ( a_select3(z_defuse,X0,sK32) = iPr_def_12 )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9410,c_6036]) ).
tcf(c_9431,plain,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X1,X0) = iPr_def_12 )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6041,c_6044]) ).
tcf(c_9450,plain,
! [X0: $i] :
( ( a_select3(u_defuse,X0,sK32) = iPr_def_12 )
| ~ leq(sK32,iPr_def_10)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_6038,c_9431]) ).
tcf(c_9451,plain,
! [X0: $i] :
( ( a_select3(u_defuse,X0,sK32) = iPr_def_12 )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9450,c_6036]) ).
tcf(c_9479,plain,
( ( a_select3(z_defuse,sK31,sK32) = iPr_def_12 )
| ~ leq(sK31,n2) ),
inference(superposition,[status(thm)],[c_6037,c_9411]) ).
tcf(c_9483,plain,
a_select3(z_defuse,sK31,sK32) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_9479,c_6039]) ).
tcf(c_9488,plain,
a_select3(u_defuse,sK31,sK32) != iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9363,c_9483]) ).
tcf(c_9505,plain,
( ( a_select3(u_defuse,sK31,sK32) = iPr_def_12 )
| ~ leq(sK31,n2) ),
inference(superposition,[status(thm)],[c_6037,c_9451]) ).
tcf(c_9509,plain,
a_select3(u_defuse,sK31,sK32) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_9505,c_6039]) ).
tcf(c_9514,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9509,c_9488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 18:30:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.83/1.28 % SZS status Started for theBenchmark.p
% 3.83/1.28 % SZS status Theorem for theBenchmark.p
% 3.83/1.28
% 3.83/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.83/1.28
% 3.83/1.28 % ------ iProver source info
% 3.83/1.28
% 3.83/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.83/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.83/1.28 % git: non_committed_changes: false
% 3.83/1.28
% 3.83/1.28 % ------ Parsing...
% 3.83/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.83/1.28
% 3.83/1.28 % ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.83/1.28
% 3.83/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.83/1.28
% 3.83/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.28 % ------ Proving...
% 3.83/1.28 % ------ Problem Properties
% 3.83/1.28
% 3.83/1.28 %
% 3.83/1.28 % clauses 212
% 3.83/1.28 % conjectures 35
% 3.83/1.28 % EPR 76
% 3.83/1.28 % Horn 162
% 3.83/1.28 % unary 115
% 3.83/1.28 % binary 35
% 3.83/1.28 % lits 560
% 3.83/1.28 % lits eq 173
% 3.83/1.28 % fd_pure 0
% 3.83/1.28 % fd_pseudo 0
% 3.83/1.28 % fd_cond 6
% 3.83/1.28 % fd_pseudo_cond 4
% 3.83/1.28 % AC symbols 0
% 3.83/1.28
% 3.83/1.28 % ------ Schedule dynamic 5 is on
% 3.83/1.28
% 3.83/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.28
% 3.83/1.28
% 3.83/1.28 % ------
% 3.83/1.28 % Current options:
% 3.83/1.28 % ------
% 3.83/1.28
% 3.83/1.28
% 3.83/1.28 %
% 3.83/1.28
% 3.83/1.28 % ------ Proving...
% 3.83/1.28 %
% 3.83/1.28
% 3.83/1.28 % SZS status Theorem for theBenchmark.p
% 3.83/1.28
% 3.83/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.28
% 3.83/1.28
%------------------------------------------------------------------------------