%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV098+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 03:16:25 PM UTC 2026
% Result : Theorem 4.07s 1.31s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 97 ( 70 unt; 0 def)
% Number of atoms : 836 ( 710 equ)
% Maximal formula atoms : 74 ( 8 avg)
% Number of connectives : 1192 ( 453 ~; 445 |; 286 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 48 !; 6 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
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(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 )
=> ( ! [X4,X5] :
( ( leq(X5,minus(plus(n1,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 ) )
& 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_0010) ).
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(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 )
=> ( ! [X4,X5] :
( ( leq(X5,minus(plus(n1,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 ) )
& 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(f94,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(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
& ( ? [X4,X5] :
( leq(X5,minus(plus(n1,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) ) )
| 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(f95,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(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
& ( ? [X4,X5] :
( leq(X5,minus(plus(n1,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) ) )
| 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,[],[f94]) ).
fof(f118,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(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ? [X0,X1] :
( leq(X1,minus(plus(n1,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) ) )
| 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,[],[f95]) ).
fof(f119,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(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ( ( leq(sK1,minus(plus(n1,pv5),n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0)
& ( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1) ) )
| 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,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f118]) ).
fof(f125,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,[],[f119]) ).
fof(f126,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,[],[f119]) ).
fof(f129,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f119]) ).
fof(f130,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f119]) ).
fof(f131,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f119]) ).
fof(f132,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f119]) ).
fof(f133,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f119]) ).
fof(f134,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f135,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f119]) ).
fof(f136,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f119]) ).
fof(f137,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f119]) ).
fof(f138,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f119]) ).
fof(f139,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f119]) ).
fof(f140,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f141,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f119]) ).
fof(f142,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f119]) ).
fof(f143,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f119]) ).
fof(f144,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f145,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f146,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f147,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f119]) ).
fof(f148,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f119]) ).
fof(f149,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f119]) ).
fof(f150,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f119]) ).
fof(f151,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f119]) ).
fof(f152,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f153,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f119]) ).
fof(f154,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f119]) ).
fof(f155,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f156,plain,
( leq(sK1,minus(plus(n1,pv5),n1))
| 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,[],[f119]) ).
fof(f157,plain,
( leq(sK0,n2)
| 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,[],[f119]) ).
fof(f158,plain,
( leq(n0,sK1)
| 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,[],[f119]) ).
fof(f159,plain,
( leq(n0,sK0)
| 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,[],[f119]) ).
fof(f160,plain,
( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1)
| 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,[],[f119]) ).
fof(f192,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f214,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f228,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f254,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f228,f214,f192]) ).
tcf(c_49,negated_conjecture,
( ( 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,sK0,sK1) != use )
| ( a_select3(u_defuse,sK0,sK1) != 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,[],[f160]) ).
tcf(c_50,negated_conjecture,
( leq(n0,sK0)
| ( 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,[],[f159]) ).
tcf(c_51,negated_conjecture,
( leq(n0,sK1)
| ( 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,[],[f158]) ).
tcf(c_52,negated_conjecture,
( leq(sK0,n2)
| ( 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,[],[f157]) ).
tcf(c_53,negated_conjecture,
( leq(sK1,minus(plus(n1,pv5),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,[],[f156]) ).
tcf(c_54,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f155]) ).
tcf(c_55,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f154]) ).
tcf(c_56,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f153]) ).
tcf(c_57,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f152]) ).
tcf(c_58,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f151]) ).
tcf(c_59,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f150]) ).
tcf(c_60,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f149]) ).
tcf(c_61,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f148]) ).
tcf(c_62,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f147]) ).
tcf(c_63,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f146]) ).
tcf(c_64,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f145]) ).
tcf(c_65,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f144]) ).
tcf(c_66,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f143]) ).
tcf(c_67,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f142]) ).
tcf(c_68,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f141]) ).
tcf(c_69,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[],[f140]) ).
tcf(c_70,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[],[f139]) ).
tcf(c_71,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[],[f138]) ).
tcf(c_72,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[],[f137]) ).
tcf(c_73,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[],[f136]) ).
tcf(c_74,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[],[f135]) ).
tcf(c_75,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f134]) ).
tcf(c_76,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f133]) ).
tcf(c_77,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f132]) ).
tcf(c_78,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f131]) ).
tcf(c_79,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f130]) ).
tcf(c_80,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f129]) ).
tcf(c_83,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,[],[f126]) ).
tcf(c_84,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,[],[f125]) ).
tcf(c_152,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f254]) ).
tcf(c_185,negated_conjecture,
leq(sK0,n2),
inference(global_subsumption_just,[status(thm)],[c_52,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_65,c_64,c_63,c_52]) ).
tcf(c_187,negated_conjecture,
leq(n0,sK1),
inference(global_subsumption_just,[status(thm)],[c_51,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_65,c_64,c_63,c_51]) ).
tcf(c_189,negated_conjecture,
leq(n0,sK0),
inference(global_subsumption_just,[status(thm)],[c_50,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_65,c_64,c_63,c_50]) ).
tcf(c_191,negated_conjecture,
leq(sK1,minus(plus(n1,pv5),n1)),
inference(global_subsumption_just,[status(thm)],[c_53,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_65,c_64,c_63,c_53]) ).
tcf(c_193,negated_conjecture,
( ( a_select3(z_defuse,sK0,sK1) != use )
| ( a_select3(u_defuse,sK0,sK1) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_65,c_64,c_63,c_49]) ).
tcf(c_700,plain,
leq(sK1,pv5),
inference(demodulation,[status(thm)],[c_191,c_152]) ).
tcf(c_2059,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ leq(sK0,n2)
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(superposition,[status(thm)],[c_189,c_83]) ).
tcf(c_2075,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2059,c_185]) ).
tcf(c_2093,plain,
! [X0: $i] :
( ( a_select3(z_defuse,sK0,X0) = use )
| ~ leq(sK0,n2)
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(superposition,[status(thm)],[c_189,c_84]) ).
tcf(c_2109,plain,
! [X0: $i] :
( ( a_select3(z_defuse,sK0,X0) = use )
| ~ leq(n0,X0)
| ~ leq(X0,pv5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2093,c_185]) ).
tcf(c_2156,plain,
( ( a_select3(u_defuse,sK0,sK1) = use )
| ~ leq(sK1,pv5) ),
inference(superposition,[status(thm)],[c_187,c_2075]) ).
tcf(c_2161,plain,
a_select3(u_defuse,sK0,sK1) = use,
inference(forward_subsumption_resolution,[status(thm)],[c_2156,c_700]) ).
tcf(c_2176,plain,
( ( a_select3(z_defuse,sK0,sK1) = use )
| ~ leq(sK1,pv5) ),
inference(superposition,[status(thm)],[c_187,c_2109]) ).
tcf(c_2181,plain,
a_select3(z_defuse,sK0,sK1) = use,
inference(forward_subsumption_resolution,[status(thm)],[c_2176,c_700]) ).
tcf(c_2184,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2181,c_2161,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 18:36:38 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
% 0.11/0.45 % Proving...
% 4.07/1.31 % SZS status Started for theBenchmark.p
% 4.07/1.31 % SZS status Theorem for theBenchmark.p
% 4.07/1.31
% 4.07/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.31
% 4.07/1.31 % ------ iProver source info
% 4.07/1.31
% 4.07/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.31 % git: non_committed_changes: false
% 4.07/1.31
% 4.07/1.31 % ------ Parsing...
% 4.07/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.31
% 4.07/1.31 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.07/1.31
% 4.07/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.07/1.31
% 4.07/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.07/1.31 % ------ Proving...
% 4.07/1.31 % ------ Problem Properties
% 4.07/1.31
% 4.07/1.31 %
% 4.07/1.31 % clauses 106
% 4.07/1.31 % conjectures 36
% 4.07/1.31 % EPR 46
% 4.07/1.31 % Horn 99
% 4.07/1.31 % unary 81
% 4.07/1.31 % binary 11
% 4.07/1.31 % lits 168
% 4.07/1.31 % lits eq 73
% 4.07/1.31 % fd_pure 0
% 4.07/1.31 % fd_pseudo 0
% 4.07/1.31 % fd_cond 6
% 4.07/1.31 % fd_pseudo_cond 2
% 4.07/1.31 % AC symbols 0
% 4.07/1.31
% 4.07/1.31 % ------ Schedule dynamic 5 is on
% 4.07/1.31
% 4.07/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.31
% 4.07/1.31
% 4.07/1.31 % ------
% 4.07/1.31 % Current options:
% 4.07/1.31 % ------
% 4.07/1.31
% 4.07/1.31
% 4.07/1.31 %
% 4.07/1.31
% 4.07/1.31 % ------ Proving...
% 4.07/1.31 %
% 4.07/1.31
% 4.07/1.31 % SZS status Theorem for theBenchmark.p
% 4.07/1.31
% 4.07/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.31
% 4.07/1.31
%------------------------------------------------------------------------------