%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV094+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 03:16:24 PM UTC 2026
% Result : Theorem 3.21s 1.21s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 129 ( 65 unt; 1 def)
% Number of atoms : 1684 (1278 equ)
% Maximal formula atoms : 115 ( 13 avg)
% Number of connectives : 2644 (1089 ~;1097 |; 446 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 10 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 23 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 40 !; 18 ?; 14 :)
% 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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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 )
=> ( ( pv51 = pv52
=> ( ! [X4,X5] :
( ( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X5) = use
& a_select3(u_defuse,X4,X5) = use ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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 ) )
& ( pv51 != pv52
=> ( ! [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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0006) ).
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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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 )
=> ( ( pv51 = pv52
=> ( ! [X4,X5] :
( ( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X5) = use
& a_select3(u_defuse,X4,X5) = use ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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 ) )
& ( pv51 != pv52
=> ( ! [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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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(f104,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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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
& ( ( pv51 = pv52
& ( ? [X4,X5] :
( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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) ) )
| ( pv51 != pv52
& ( ? [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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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(f105,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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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
& ( ( pv51 = pv52
& ( ? [X4,X5] :
( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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) ) )
| ( pv51 != pv52
& ( ? [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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f104]) ).
fof(f135,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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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
& ( sP0
| ( pv51 != pv52
& ( ? [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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f131]) ).
fof(f136,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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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
& ( sP0
| ( pv51 != pv52
& ( ( leq(sK4,minus(pv5,n1))
& leq(sK3,n2)
& leq(n0,sK4)
& leq(n0,sK3)
& ( use != a_select3(z_defuse,sK3,sK4)
| use != a_select3(u_defuse,sK3,sK4) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f135]) ).
fof(f146,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,[],[f136]) ).
fof(f147,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,[],[f136]) ).
fof(f149,plain,
leq(pv51,minus(n6,n1)),
inference(cnf_transformation,[],[f136]) ).
fof(f150,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f136]) ).
fof(f152,plain,
leq(n0,pv51),
inference(cnf_transformation,[],[f136]) ).
fof(f153,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f136]) ).
fof(f154,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f155,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f156,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f157,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f158,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f159,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f160,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f161,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f162,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f163,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f164,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f165,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f166,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f167,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f168,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f169,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f170,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f171,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f172,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f173,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f174,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f175,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f176,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f177,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f178,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f179,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f180,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f182,plain,
( sP0
| leq(sK4,minus(pv5,n1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f136]) ).
fof(f183,plain,
( sP0
| leq(sK3,n2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f136]) ).
fof(f184,plain,
( sP0
| leq(n0,sK4)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f136]) ).
fof(f185,plain,
( sP0
| leq(n0,sK3)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f136]) ).
fof(f186,plain,
( sP0
| use != a_select3(z_defuse,sK3,sK4)
| use != a_select3(u_defuse,sK3,sK4)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f136]) ).
tcf(c_55,negated_conjecture,
( sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(z_defuse,sK3,sK4) != use )
| ( a_select3(u_defuse,sK3,sK4) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_56,negated_conjecture,
( sP0
| leq(n0,sK3)
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_57,negated_conjecture,
( sP0
| leq(n0,sK4)
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_58,negated_conjecture,
( sP0
| leq(sK3,n2)
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_59,negated_conjecture,
( sP0
| leq(sK4,minus(pv5,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_61,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f180]) ).
tcf(c_62,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f179]) ).
tcf(c_63,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f178]) ).
tcf(c_64,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f177]) ).
tcf(c_65,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f176]) ).
tcf(c_66,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f175]) ).
tcf(c_67,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f174]) ).
tcf(c_68,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f173]) ).
tcf(c_69,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f172]) ).
tcf(c_70,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f171]) ).
tcf(c_71,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f170]) ).
tcf(c_72,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f169]) ).
tcf(c_73,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f168]) ).
tcf(c_74,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f167]) ).
tcf(c_75,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f166]) ).
tcf(c_76,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f165]) ).
tcf(c_77,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f164]) ).
tcf(c_78,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f163]) ).
tcf(c_79,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f162]) ).
tcf(c_80,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f161]) ).
tcf(c_81,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f160]) ).
tcf(c_82,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f159]) ).
tcf(c_83,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f158]) ).
tcf(c_84,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f157]) ).
tcf(c_85,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f156]) ).
tcf(c_86,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f155]) ).
tcf(c_87,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f154]) ).
tcf(c_88,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f153]) ).
tcf(c_89,negated_conjecture,
leq(n0,pv51),
inference(cnf_transformation,[],[f152]) ).
tcf(c_91,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f150]) ).
tcf(c_92,negated_conjecture,
leq(pv51,minus(n6,n1)),
inference(cnf_transformation,[],[f149]) ).
tcf(c_94,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,[],[f147]) ).
tcf(c_95,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,[],[f146]) ).
tcf(c_203,negated_conjecture,
( sP0
| leq(sK3,n2) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_58]) ).
tcf(c_205,negated_conjecture,
( sP0
| leq(n0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_57]) ).
tcf(c_207,negated_conjecture,
( sP0
| leq(n0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_56]) ).
tcf(c_215,negated_conjecture,
( sP0
| leq(sK4,minus(pv5,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_59]) ).
tcf(c_219,negated_conjecture,
( sP0
| ( a_select3(z_defuse,sK3,sK4) != use )
| ( a_select3(u_defuse,sK3,sK4) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_55]) ).
tcf(c_239,plain,
( leq(n0,sK3)
| sP0 ),
inference(prop_impl_just,[status(thm)],[c_207]) ).
tcf(c_240,plain,
( sP0
| leq(n0,sK3) ),
inference(renaming,[status(thm)],[c_239]) ).
tcf(c_245,plain,
( leq(sK4,minus(pv5,n1))
| sP0 ),
inference(prop_impl_just,[status(thm)],[c_215]) ).
tcf(c_246,plain,
( sP0
| leq(sK4,minus(pv5,n1)) ),
inference(renaming,[status(thm)],[c_245]) ).
tcf(c_2937,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,X0,sK4) = use )
| ~ leq(n0,sK4)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_246,c_95]) ).
tcf(c_2938,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,X0,sK4) = use )
| ~ leq(n0,sK4)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_246,c_94]) ).
tcf(c_3017,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,X0,sK4) = use )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2937,c_205,c_2937]) ).
tcf(c_3018,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,X0,sK4) = use )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_3017]) ).
tcf(c_3032,plain,
( sP0
| ( a_select3(z_defuse,sK3,sK4) = use )
| ~ leq(sK3,n2) ),
inference(superposition,[status(thm)],[c_240,c_3018]) ).
tcf(c_3072,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,X0,sK4) = use )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2938,c_205,c_2938]) ).
tcf(c_3073,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,X0,sK4) = use )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_3072]) ).
tcf(c_3083,plain,
( sP0
| ( a_select3(u_defuse,pv5,sK4) = use )
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_88,c_3073]) ).
tcf(c_3087,plain,
( sP0
| ( a_select3(u_defuse,sK3,sK4) = use )
| ~ leq(sK3,n2) ),
inference(superposition,[status(thm)],[c_240,c_3073]) ).
tcf(c_3109,plain,
sP0,
inference(global_subsumption_just,[status(thm)],[c_3083,c_203,c_219,c_3032,c_3087]) ).
fof(f130,definition,
( ~ sP0
| ( pv51 = pv52
& ( ? [X4,X5] :
( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,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(pv52,minus(n6,n1))
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv52)
& leq(n0,pv51)
& 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
& ( sP0
| ( pv51 != pv52
& ( ? [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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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(definition_folding,[],[f105,f130]) ).
fof(f132,plain,
( ~ sP0
| ( pv51 = pv52
& ( ? [X4,X5] :
( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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(nnf_transformation,[],[f130]) ).
fof(f133,plain,
( ~ sP0
| ( pv51 = pv52
& ( ? [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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f132]) ).
fof(f134,plain,
( ~ sP0
| ( pv51 = pv52
& ( ( leq(sK2,minus(pv5,n1))
& leq(sK1,n2)
& leq(n0,sK2)
& leq(n0,sK1)
& ( use != a_select3(z_defuse,sK1,sK2)
| use != a_select3(u_defuse,sK1,sK2) ) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f133]) ).
fof(f141,plain,
( ~ sP0
| leq(sK2,minus(pv5,n1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f134]) ).
fof(f142,plain,
( ~ sP0
| leq(sK1,n2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f134]) ).
fof(f143,plain,
( ~ sP0
| leq(n0,sK2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f134]) ).
fof(f144,plain,
( ~ sP0
| leq(n0,sK1)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f134]) ).
fof(f145,plain,
( ~ sP0
| use != a_select3(z_defuse,sK1,sK2)
| use != a_select3(u_defuse,sK1,sK2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ 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,[],[f134]) ).
tcf(c_49,plain,
( ~ sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(z_defuse,sK1,sK2) != use )
| ( a_select3(u_defuse,sK1,sK2) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_50,plain,
( leq(n0,sK1)
| ~ sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_51,plain,
( leq(n0,sK2)
| ~ sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_52,plain,
( leq(sK1,n2)
| ~ sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_53,plain,
( leq(sK2,minus(pv5,n1))
| ~ sP0
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ leq(pv51,minus(n6,n1))
| ~ 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,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_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 )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_209,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_52,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_52]) ).
tcf(c_213,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_50,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_50]) ).
tcf(c_221,plain,
( ~ sP0
| ( a_select3(z_defuse,sK1,sK2) != use )
| ( a_select3(u_defuse,sK1,sK2) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_49]) ).
tcf(c_231,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_213]) ).
tcf(c_237,plain,
( leq(sK2,minus(pv5,n1))
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_53]) ).
tcf(c_2999,plain,
! [X0: $i] :
( ( a_select3(z_defuse,X0,sK2) = use )
| ~ sP0
| ~ leq(n0,sK2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_237,c_95]) ).
tcf(c_3000,plain,
! [X0: $i] :
( ( a_select3(u_defuse,X0,sK2) = use )
| ~ sP0
| ~ leq(n0,sK2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_237,c_94]) ).
tcf(c_3112,plain,
leq(n0,sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_231,c_3109]) ).
tcf(c_3146,plain,
! [X0: $i] :
( ( a_select3(z_defuse,X0,sK2) = use )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_2999,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_51,c_203,c_219,c_2999,c_3032,c_3087]) ).
tcf(c_3174,plain,
! [X0: $i] :
( ( a_select3(u_defuse,X0,sK2) = use )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_3000,c_89,c_88,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_72,c_71,c_70,c_51,c_203,c_219,c_3000,c_3032,c_3087]) ).
tcf(c_3202,plain,
( ( a_select3(u_defuse,sK1,sK2) = use )
| ~ leq(sK1,n2) ),
inference(superposition,[status(thm)],[c_3112,c_3174]) ).
tcf(c_3203,plain,
( ( a_select3(z_defuse,sK1,sK2) = use )
| ~ leq(sK1,n2) ),
inference(superposition,[status(thm)],[c_3112,c_3146]) ).
tcf(c_3208,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3202,c_3203,c_3109,c_221,c_209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV094+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 18:35:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 3.21/1.21 % SZS status Started for theBenchmark.p
% 3.21/1.21 % SZS status Theorem for theBenchmark.p
% 3.21/1.21
% 3.21/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.21/1.21
% 3.21/1.21 % ------ iProver source info
% 3.21/1.21
% 3.21/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.21/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.21/1.21 % git: non_committed_changes: false
% 3.21/1.21
% 3.21/1.21 % ------ Parsing...
% 3.21/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.21/1.21
% 3.21/1.21 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.21/1.21
% 3.21/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.21/1.21
% 3.21/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.21/1.21 % ------ Proving...
% 3.21/1.21 % ------ Problem Properties
% 3.21/1.21
% 3.21/1.21 %
% 3.21/1.21 % clauses 125
% 3.21/1.21 % conjectures 37
% 3.21/1.21 % EPR 61
% 3.21/1.21 % Horn 113
% 3.21/1.21 % unary 90
% 3.21/1.21 % binary 20
% 3.21/1.21 % lits 200
% 3.21/1.21 % lits eq 83
% 3.21/1.22 % fd_pure 0
% 3.21/1.22 % fd_pseudo 0
% 3.21/1.22 % fd_cond 7
% 3.21/1.22 % fd_pseudo_cond 2
% 3.21/1.22 % AC symbols 0
% 3.21/1.22
% 3.21/1.22 % ------ Schedule dynamic 5 is on
% 3.21/1.22
% 3.21/1.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.21/1.22
% 3.21/1.22
% 3.21/1.22 % ------
% 3.21/1.22 % Current options:
% 3.21/1.22 % ------
% 3.21/1.22
% 3.21/1.22
% 3.21/1.22 %
% 3.21/1.22
% 3.21/1.22 % ------ Proving...
% 3.21/1.22 %
% 3.21/1.22
% 3.21/1.22 % SZS status Theorem for theBenchmark.p
% 3.21/1.22
% 3.21/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/1.22
% 3.33/1.22
%------------------------------------------------------------------------------