%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV093+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 : n018.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 3.14s 1.20s
% Output : CNFRefutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 125 ( 63 unt; 1 def)
% Number of atoms : 1140 ( 792 equ)
% Maximal formula atoms : 84 ( 9 avg)
% Number of connectives : 1576 ( 587 ~; 604 |; 375 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 63 !; 18 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f53,conjecture,
( ( ! [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 ) )
& ! [X0,X1] :
( ( leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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 )
=> ( ! [X6,X7] :
( ( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( a_select3(z_defuse,X6,X7) = use
& a_select3(u_defuse,X6,X7) = use ) )
& ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X5) = use
& a_select3(u_defuse,X4,X5) = 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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0005) ).
fof(f54,negated_conjecture,
~ ( ( ! [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 ) )
& ! [X0,X1] :
( ( leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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 )
=> ( ! [X6,X7] :
( ( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( a_select3(z_defuse,X6,X7) = use
& a_select3(u_defuse,X6,X7) = use ) )
& ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(z_defuse,X4,X5) = use
& a_select3(u_defuse,X4,X5) = 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(f104,plain,
( ! [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 ) )
& ! [X0,X1] :
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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
& ( ? [X6,X7] :
( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) ) )
| ? [X4,X5] :
( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ 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(f105,plain,
( ! [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 ) )
& ! [X0,X1] :
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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
& ( ? [X6,X7] :
( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) ) )
| ? [X4,X5] :
( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ 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,[],[f104]) ).
fof(f135,plain,
( ! [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) ) )
& ! [X2,X3] :
( ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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
| ? [X0,X1] :
( leq(X1,pv5)
& 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,[],[f131]) ).
fof(f136,plain,
( ! [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) ) )
& ! [X2,X3] :
( ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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
| ( leq(sK4,pv5)
& leq(sK3,n2)
& leq(n0,sK4)
& leq(n0,sK3)
& ( use != a_select3(z_defuse,sK3,sK4)
| use != a_select3(u_defuse,sK3,sK4) ) )
| ~ 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,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f135]) ).
fof(f145,plain,
! [X4,X5] :
( ~ leq(X5,minus(pv5,n1))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f146,plain,
! [X4,X5] :
( ~ leq(X5,minus(pv5,n1))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(u_defuse,X4,X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f147,plain,
! [X2,X3] :
( ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f148,plain,
! [X2,X3] :
( ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f150,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f136]) ).
fof(f152,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f136]) ).
fof(f153,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f154,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f155,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f156,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f157,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f158,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f159,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f160,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f161,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f162,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f163,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f164,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f165,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f166,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f167,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f168,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f169,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f170,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f171,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f136]) ).
fof(f172,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f136]) ).
fof(f173,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f136]) ).
fof(f174,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f175,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f176,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f177,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f136]) ).
fof(f178,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f136]) ).
fof(f179,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f136]) ).
fof(f180,plain,
( sP0
| leq(sK4,pv5)
| ~ 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,[],[f136]) ).
fof(f181,plain,
( sP0
| leq(sK3,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,[],[f136]) ).
fof(f182,plain,
( sP0
| leq(n0,sK4)
| ~ 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,[],[f136]) ).
fof(f183,plain,
( sP0
| leq(n0,sK3)
| ~ 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,[],[f136]) ).
fof(f184,plain,
( sP0
| use != a_select3(z_defuse,sK3,sK4)
| use != a_select3(u_defuse,sK3,sK4)
| ~ 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,[],[f136]) ).
fof(f196,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_54,negated_conjecture,
( sP0
| ~ 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,n1) != use )
| ( a_select2(xinit_noise_defuse,n2) != 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,n1) != use )
| ( a_select2(xinit_mean_defuse,n2) != 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,n1) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != 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,n1,n0) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_55,negated_conjecture,
( sP0
| leq(n0,sK3)
| ~ 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,n1) != use )
| ( a_select2(xinit_noise_defuse,n2) != 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,n1) != use )
| ( a_select2(xinit_mean_defuse,n2) != 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,n1) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_56,negated_conjecture,
( sP0
| leq(n0,sK4)
| ~ 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,n1) != use )
| ( a_select2(xinit_noise_defuse,n2) != 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,n1) != use )
| ( a_select2(xinit_mean_defuse,n2) != 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,n1) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_57,negated_conjecture,
( sP0
| leq(sK3,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,n1) != use )
| ( a_select2(xinit_noise_defuse,n2) != 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,n1) != use )
| ( a_select2(xinit_mean_defuse,n2) != 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,n1) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_58,negated_conjecture,
( sP0
| leq(sK4,pv5)
| ~ 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,n1) != use )
| ( a_select2(xinit_noise_defuse,n2) != 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,n1) != use )
| ( a_select2(xinit_mean_defuse,n2) != 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,n1) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n0) != use )
| ( a_select2(rho_defuse,n1) != use )
| ( a_select2(rho_defuse,n2) != use )
| ( a_select2(rho_defuse,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_59,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f179]) ).
tcf(c_60,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f178]) ).
tcf(c_61,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f177]) ).
tcf(c_62,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f176]) ).
tcf(c_63,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f175]) ).
tcf(c_64,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f174]) ).
tcf(c_65,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f173]) ).
tcf(c_66,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f172]) ).
tcf(c_67,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f171]) ).
tcf(c_68,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f170]) ).
tcf(c_69,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f169]) ).
tcf(c_70,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f168]) ).
tcf(c_71,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f167]) ).
tcf(c_72,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f166]) ).
tcf(c_73,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f165]) ).
tcf(c_74,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f164]) ).
tcf(c_75,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f163]) ).
tcf(c_76,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f162]) ).
tcf(c_77,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f161]) ).
tcf(c_78,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f160]) ).
tcf(c_79,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f159]) ).
tcf(c_80,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f158]) ).
tcf(c_81,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f157]) ).
tcf(c_82,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f156]) ).
tcf(c_83,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f155]) ).
tcf(c_84,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f154]) ).
tcf(c_85,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f153]) ).
tcf(c_86,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f152]) ).
tcf(c_88,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f150]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X0,X1) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv5)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv5)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_92,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,[],[f146]) ).
tcf(c_93,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,[],[f145]) ).
tcf(c_105,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f196]) ).
tcf(c_203,negated_conjecture,
( sP0
| leq(sK4,pv5) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_86,c_88,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_72,c_71,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_70,c_69,c_68,c_58]) ).
tcf(c_205,negated_conjecture,
( sP0
| leq(sK3,n2) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_86,c_88,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_72,c_71,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_70,c_69,c_68,c_57]) ).
tcf(c_207,negated_conjecture,
( sP0
| leq(n0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_86,c_88,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_72,c_71,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_70,c_69,c_68,c_56]) ).
tcf(c_209,negated_conjecture,
( sP0
| leq(n0,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_86,c_88,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_72,c_71,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_70,c_69,c_68,c_55]) ).
tcf(c_211,negated_conjecture,
( sP0
| ( a_select3(z_defuse,sK3,sK4) != use )
| ( a_select3(u_defuse,sK3,sK4) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_86,c_88,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_72,c_71,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_70,c_69,c_68,c_54]) ).
tcf(c_225,plain,
( leq(n0,sK3)
| sP0 ),
inference(prop_impl_just,[status(thm)],[c_209]) ).
tcf(c_226,plain,
( sP0
| leq(n0,sK3) ),
inference(renaming,[status(thm)],[c_225]) ).
tcf(c_227,plain,
( leq(n0,sK4)
| sP0 ),
inference(prop_impl_just,[status(thm)],[c_207]) ).
tcf(c_228,plain,
( sP0
| leq(n0,sK4) ),
inference(renaming,[status(thm)],[c_227]) ).
tcf(c_2895,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,sK3,X0) = use )
| ~ leq(sK3,n2)
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(superposition,[status(thm)],[c_226,c_91]) ).
tcf(c_2896,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,sK3,X0) = use )
| ~ leq(sK3,n2)
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(superposition,[status(thm)],[c_226,c_90]) ).
tcf(c_3224,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,sK3,X0) = use )
| ~ leq(X0,pv5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2895,c_205,c_2895]) ).
tcf(c_3225,plain,
! [X0: $i] :
( sP0
| ( a_select3(z_defuse,sK3,X0) = use )
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(renaming,[status(thm)],[c_3224]) ).
tcf(c_3239,plain,
( sP0
| ( a_select3(z_defuse,sK3,sK4) = use )
| ~ leq(sK4,pv5) ),
inference(superposition,[status(thm)],[c_228,c_3225]) ).
tcf(c_3355,plain,
! [X0: $i] :
( ( a_select3(z_defuse,sK1,X0) = use )
| ~ leq(n0,sK1)
| ~ leq(sK1,n2)
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv5,n1)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_3356,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK1,X0) = use )
| ~ leq(n0,sK1)
| ~ leq(sK1,n2)
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv5,n1)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3363,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,sK3,X0) = use )
| ~ leq(X0,pv5)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2896,c_205,c_2896]) ).
tcf(c_3364,plain,
! [X0: $i] :
( sP0
| ( a_select3(u_defuse,sK3,X0) = use )
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(renaming,[status(thm)],[c_3363]) ).
tcf(c_3378,plain,
( sP0
| ( a_select3(u_defuse,sK3,sK4) = use )
| ~ leq(sK4,pv5) ),
inference(superposition,[status(thm)],[c_228,c_3364]) ).
tcf(c_3380,plain,
( sP0
| ( a_select3(u_defuse,sK3,n0) = use )
| ~ leq(n0,pv5) ),
inference(superposition,[status(thm)],[c_105,c_3364]) ).
tcf(c_3381,plain,
( sP0
| ( a_select3(u_defuse,sK3,n0) = use ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3380,c_86]) ).
tcf(c_3402,plain,
sP0,
inference(global_subsumption_just,[status(thm)],[c_3381,c_203,c_211,c_3239,c_3378]) ).
tcf(c_5397,plain,
( ( a_select3(z_defuse,sK1,sK2) = use )
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| ~ leq(sK1,n2)
| ~ leq(sK2,minus(pv5,n1)) ),
inference(instantiation,[status(thm)],[c_3355]) ).
tcf(c_5644,plain,
( ( a_select3(u_defuse,sK1,sK2) = use )
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| ~ leq(sK1,n2)
| ~ leq(sK2,minus(pv5,n1)) ),
inference(instantiation,[status(thm)],[c_3356]) ).
fof(f130,definition,
( ~ sP0
| ? [X6,X7] :
( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,plain,
( ! [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 ) )
& ! [X0,X1] :
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ( a_select3(z_defuse,X0,X1) = use
& a_select3(u_defuse,X0,X1) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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
| ? [X4,X5] :
( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& ( use != a_select3(z_defuse,X4,X5)
| use != a_select3(u_defuse,X4,X5) ) )
| ~ 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(definition_folding,[],[f105,f130]) ).
fof(f132,plain,
( ~ sP0
| ? [X6,X7] :
( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f133,plain,
( ~ sP0
| ? [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) ) ) ),
inference(rectify,[],[f132]) ).
fof(f134,plain,
( ~ sP0
| ( 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) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f133]) ).
fof(f140,plain,
( ~ sP0
| leq(sK2,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f141,plain,
( ~ sP0
| leq(sK1,n2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f142,plain,
( ~ sP0
| leq(n0,sK2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f143,plain,
( ~ sP0
| leq(n0,sK1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f144,plain,
( ~ sP0
| use != a_select3(z_defuse,sK1,sK2)
| use != a_select3(u_defuse,sK1,sK2) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_49,plain,
( ~ sP0
| ( a_select3(z_defuse,sK1,sK2) != use )
| ( a_select3(u_defuse,sK1,sK2) != use ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_50,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_51,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_52,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_53,plain,
( leq(sK2,minus(pv5,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_5645,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5644,c_5397,c_3402,c_49,c_53,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV093+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 18:31:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.14/1.20 % SZS status Started for theBenchmark.p
% 3.14/1.20 % SZS status Theorem for theBenchmark.p
% 3.14/1.20
% 3.14/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.14/1.20
% 3.14/1.20 % ------ iProver source info
% 3.14/1.20
% 3.14/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.14/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.14/1.20 % git: non_committed_changes: false
% 3.14/1.20
% 3.14/1.20 % ------ Parsing...
% 3.14/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.14/1.20
% 3.14/1.20 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.14/1.20
% 3.14/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.14/1.20
% 3.14/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.14/1.20 % ------ Proving...
% 3.14/1.20 % ------ Problem Properties
% 3.14/1.20
% 3.14/1.20 %
% 3.14/1.20 % clauses 123
% 3.14/1.20 % conjectures 36
% 3.14/1.20 % EPR 59
% 3.14/1.20 % Horn 111
% 3.14/1.20 % unary 88
% 3.14/1.20 % binary 18
% 3.14/1.20 % lits 204
% 3.14/1.20 % lits eq 83
% 3.14/1.20 % fd_pure 0
% 3.14/1.20 % fd_pseudo 0
% 3.14/1.20 % fd_cond 7
% 3.14/1.20 % fd_pseudo_cond 2
% 3.14/1.20 % AC symbols 0
% 3.14/1.20
% 3.14/1.20 % ------ Schedule dynamic 5 is on
% 3.14/1.20
% 3.14/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.14/1.20
% 3.14/1.20
% 3.14/1.20 % ------
% 3.14/1.20 % Current options:
% 3.14/1.20 % ------
% 3.14/1.20
% 3.14/1.20
% 3.14/1.20 %
% 3.14/1.20
% 3.14/1.20 % ------ Proving...
% 3.14/1.20 %
% 3.14/1.20
% 3.14/1.20 % SZS status Theorem for theBenchmark.p
% 3.14/1.20
% 3.14/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.20
% 3.14/1.20
%------------------------------------------------------------------------------