%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:20:13 PM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 172 ( 95 unt; 35 def)
% Number of atoms : 1126 ( 552 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 1603 ( 649 ~; 641 |; 272 &)
% ( 35 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 36 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0011) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X2,X3] :
( ( use != a_select3(u_defuse,X2,X3)
| use != a_select3(z_defuse,X2,X3) )
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X2,X3] :
( ( use != a_select3(u_defuse,X2,X3)
| use != a_select3(z_defuse,X2,X3) )
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1)) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( ( use != a_select3(u_defuse,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) )
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,minus(pv5,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3)
& use = a_select3(z_defuse,X2,X3) )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f309,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| use = a_select3(z_defuse,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f310,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f311,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f198]) ).
fof(f312,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f198]) ).
fof(f313,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f314,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f318,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f319,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f320,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f321,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f322,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f323,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f324,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f325,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f326,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f327,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f328,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f329,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f330,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f331,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f332,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f333,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f198]) ).
fof(f334,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f335,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f336,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f337,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f338,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f339,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f340,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK32,minus(pv5,n1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(sK31,n2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK31) ),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select3(u_defuse,sK31,sK32)
| use != a_select3(z_defuse,sK31,sK32) ),
inference(cnf_transformation,[],[f198]) ).
fof(f414,definition,
( spl33_1
<=> leq(sK32,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f416,plain,
( leq(sK32,minus(pv5,n1))
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f418,definition,
( spl33_2
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f422,definition,
( spl33_3
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f426,definition,
( spl33_4
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f430,definition,
( spl33_5
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f434,definition,
( spl33_6
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f438,definition,
( spl33_7
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f442,definition,
( spl33_8
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f446,definition,
( spl33_9
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f450,definition,
( spl33_10
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f454,definition,
( spl33_11
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f458,definition,
( spl33_12
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f462,definition,
( spl33_13
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f466,definition,
( spl33_14
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f470,definition,
( spl33_15
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f474,definition,
( spl33_16
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f478,definition,
( spl33_17
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f482,definition,
( spl33_18
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f486,definition,
( spl33_19
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f490,definition,
( spl33_20
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f494,definition,
( spl33_21
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl33_21])],[avatar_definition]) ).
fof(f498,definition,
( spl33_22
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f502,definition,
( spl33_23
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f506,definition,
( spl33_24
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f510,definition,
( spl33_25
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f514,definition,
( spl33_26
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f518,definition,
( spl33_27
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f522,definition,
( spl33_28
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f526,definition,
( spl33_29
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_29])],[avatar_definition]) ).
fof(f530,definition,
( spl33_30
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f533,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f340,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414]) ).
fof(f535,definition,
( spl33_31
<=> leq(sK31,n2) ),
introduced(definition,[new_symbols(definition,[spl33_31])],[avatar_definition]) ).
fof(f537,plain,
( leq(sK31,n2)
| ~ spl33_31 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f538,plain,
( spl33_31
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f341,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f535]) ).
fof(f540,definition,
( spl33_32
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_32])],[avatar_definition]) ).
fof(f542,plain,
( leq(n0,sK32)
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( spl33_32
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f342,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f540]) ).
fof(f545,definition,
( spl33_33
<=> leq(n0,sK31) ),
introduced(definition,[new_symbols(definition,[spl33_33])],[avatar_definition]) ).
fof(f547,plain,
( leq(n0,sK31)
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( spl33_33
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f343,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f545]) ).
fof(f550,definition,
( spl33_34
<=> use = a_select3(z_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f554,definition,
( spl33_35
<=> use = a_select3(u_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_35])],[avatar_definition]) ).
fof(f556,plain,
( use != a_select3(u_defuse,sK31,sK32)
| spl33_35 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl33_34
| ~ spl33_35
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f344,f530,f526,f522,f518,f514,f510,f506,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f554,f550]) ).
fof(f558,plain,
spl33_3,
inference(avatar_split_clause,[],[f312,f422]) ).
fof(f559,plain,
spl33_2,
inference(avatar_split_clause,[],[f311,f418]) ).
fof(f560,plain,
spl33_4,
inference(avatar_split_clause,[],[f313,f426]) ).
fof(f561,plain,
spl33_5,
inference(avatar_split_clause,[],[f314,f430]) ).
fof(f562,plain,
spl33_6,
inference(avatar_split_clause,[],[f315,f434]) ).
fof(f563,plain,
spl33_7,
inference(avatar_split_clause,[],[f316,f438]) ).
fof(f564,plain,
spl33_8,
inference(avatar_split_clause,[],[f317,f442]) ).
fof(f565,plain,
spl33_9,
inference(avatar_split_clause,[],[f318,f446]) ).
fof(f566,plain,
spl33_10,
inference(avatar_split_clause,[],[f319,f450]) ).
fof(f567,plain,
spl33_11,
inference(avatar_split_clause,[],[f320,f454]) ).
fof(f568,plain,
spl33_12,
inference(avatar_split_clause,[],[f321,f458]) ).
fof(f569,plain,
spl33_13,
inference(avatar_split_clause,[],[f322,f462]) ).
fof(f570,plain,
spl33_14,
inference(avatar_split_clause,[],[f323,f466]) ).
fof(f571,plain,
spl33_15,
inference(avatar_split_clause,[],[f324,f470]) ).
fof(f572,plain,
spl33_16,
inference(avatar_split_clause,[],[f325,f474]) ).
fof(f573,plain,
spl33_17,
inference(avatar_split_clause,[],[f326,f478]) ).
fof(f574,plain,
spl33_18,
inference(avatar_split_clause,[],[f327,f482]) ).
fof(f575,plain,
spl33_22,
inference(avatar_split_clause,[],[f331,f498]) ).
fof(f576,plain,
spl33_23,
inference(avatar_split_clause,[],[f332,f502]) ).
fof(f577,plain,
spl33_24,
inference(avatar_split_clause,[],[f333,f506]) ).
fof(f578,plain,
spl33_25,
inference(avatar_split_clause,[],[f334,f510]) ).
fof(f579,plain,
spl33_26,
inference(avatar_split_clause,[],[f335,f514]) ).
fof(f580,plain,
spl33_27,
inference(avatar_split_clause,[],[f336,f518]) ).
fof(f581,plain,
spl33_28,
inference(avatar_split_clause,[],[f337,f522]) ).
fof(f582,plain,
spl33_29,
inference(avatar_split_clause,[],[f338,f526]) ).
fof(f583,plain,
spl33_30,
inference(avatar_split_clause,[],[f339,f530]) ).
fof(f584,plain,
spl33_19,
inference(avatar_split_clause,[],[f328,f486]) ).
fof(f585,plain,
spl33_20,
inference(avatar_split_clause,[],[f329,f490]) ).
fof(f586,plain,
spl33_21,
inference(avatar_split_clause,[],[f330,f494]) ).
fof(f587,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK32)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_1 ),
inference(resolution,[],[f309,f416]) ).
fof(f588,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_1
| ~ spl33_32 ),
inference(forward_subsumption_resolution,[],[f587,f542]) ).
fof(f591,plain,
( ~ leq(sK31,n2)
| use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_32
| ~ spl33_33 ),
inference(resolution,[],[f588,f547]) ).
fof(f592,plain,
( use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(forward_subsumption_resolution,[],[f591,f537]) ).
fof(f613,plain,
( spl33_34
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f592,f545,f540,f535,f414,f550]) ).
fof(f614,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK32)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_1 ),
inference(resolution,[],[f310,f416]) ).
fof(f615,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_1
| ~ spl33_32 ),
inference(forward_subsumption_resolution,[],[f614,f542]) ).
fof(f618,plain,
( ~ leq(sK31,n2)
| use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_32
| ~ spl33_33 ),
inference(resolution,[],[f615,f547]) ).
fof(f619,plain,
( use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33 ),
inference(forward_subsumption_resolution,[],[f618,f537]) ).
fof(f620,plain,
( $false
| ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f619,f556]) ).
fof(f621,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(avatar_contradiction_clause,[],[f620]) ).
cnf(s1,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30 ),
inference(sat_conversion,[],[f533]) ).
cnf(s2,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_31 ),
inference(sat_conversion,[],[f538]) ).
cnf(s3,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_32 ),
inference(sat_conversion,[],[f543]) ).
cnf(s4,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| spl33_33 ),
inference(sat_conversion,[],[f548]) ).
cnf(s5,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_28
| ~ spl33_29
| ~ spl33_30
| ~ spl33_34
| ~ spl33_35 ),
inference(sat_conversion,[],[f557]) ).
cnf(s6,plain,
spl33_3,
inference(sat_conversion,[],[f558]) ).
cnf(s7,plain,
spl33_2,
inference(sat_conversion,[],[f559]) ).
cnf(s8,plain,
spl33_4,
inference(sat_conversion,[],[f560]) ).
cnf(s9,plain,
spl33_5,
inference(sat_conversion,[],[f561]) ).
cnf(s10,plain,
spl33_6,
inference(sat_conversion,[],[f562]) ).
cnf(s11,plain,
spl33_7,
inference(sat_conversion,[],[f563]) ).
cnf(s12,plain,
spl33_8,
inference(sat_conversion,[],[f564]) ).
cnf(s13,plain,
spl33_9,
inference(sat_conversion,[],[f565]) ).
cnf(s14,plain,
spl33_10,
inference(sat_conversion,[],[f566]) ).
cnf(s15,plain,
spl33_11,
inference(sat_conversion,[],[f567]) ).
cnf(s16,plain,
spl33_12,
inference(sat_conversion,[],[f568]) ).
cnf(s17,plain,
spl33_13,
inference(sat_conversion,[],[f569]) ).
cnf(s18,plain,
spl33_14,
inference(sat_conversion,[],[f570]) ).
cnf(s19,plain,
spl33_15,
inference(sat_conversion,[],[f571]) ).
cnf(s20,plain,
spl33_16,
inference(sat_conversion,[],[f572]) ).
cnf(s21,plain,
spl33_17,
inference(sat_conversion,[],[f573]) ).
cnf(s22,plain,
spl33_18,
inference(sat_conversion,[],[f574]) ).
cnf(s23,plain,
spl33_22,
inference(sat_conversion,[],[f575]) ).
cnf(s24,plain,
spl33_23,
inference(sat_conversion,[],[f576]) ).
cnf(s25,plain,
spl33_24,
inference(sat_conversion,[],[f577]) ).
cnf(s26,plain,
spl33_25,
inference(sat_conversion,[],[f578]) ).
cnf(s27,plain,
spl33_26,
inference(sat_conversion,[],[f579]) ).
cnf(s28,plain,
spl33_27,
inference(sat_conversion,[],[f580]) ).
cnf(s29,plain,
spl33_28,
inference(sat_conversion,[],[f581]) ).
cnf(s30,plain,
spl33_29,
inference(sat_conversion,[],[f582]) ).
cnf(s31,plain,
spl33_30,
inference(sat_conversion,[],[f583]) ).
cnf(s32,plain,
spl33_19,
inference(sat_conversion,[],[f584]) ).
cnf(s33,plain,
spl33_20,
inference(sat_conversion,[],[f585]) ).
cnf(s34,plain,
spl33_21,
inference(sat_conversion,[],[f586]) ).
cnf(s38,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_34 ),
inference(sat_conversion,[],[f613]) ).
cnf(s39,plain,
( ~ spl33_1
| ~ spl33_31
| ~ spl33_32
| ~ spl33_33
| spl33_35 ),
inference(sat_conversion,[],[f621]) ).
cnf(s40,plain,
( ~ spl33_34
| ~ spl33_35 ),
inference(rat,[],[s5,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s41,plain,
spl33_33,
inference(rat,[],[s4,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s42,plain,
spl33_32,
inference(rat,[],[s3,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s43,plain,
spl33_31,
inference(rat,[],[s2,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s44,plain,
spl33_1,
inference(rat,[],[s1,s31,s30,s29,s28,s27,s26,s25,s24,s23,s34,s33,s32,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s6,s7]) ).
cnf(s45,plain,
spl33_35,
inference(rat,[],[s39,s43,s41,s42,s44]) ).
cnf(s46,plain,
spl33_34,
inference(rat,[],[s38,s43,s41,s42,s44]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s40,s45,s46]) ).
fof(f622,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:51:55 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.29 % (2290951)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (2290956)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1999463095_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (2290957)% WARNING: option uhcvi not known.
% 0.19/0.29 % (2290958)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3543720160:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (2290957)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1004381821:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (2290959)dis+10_1_sil=32000:sp=arity:random_seed=2269469229:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (2290960)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2097959591:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (2290961)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3404986024:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (2290962)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2735094984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (2290959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290951-2290959"...
% 0.19/0.29 % (2290957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290951-2290957"...
% 0.19/0.29 % (2290958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290951-2290958"...
% 0.19/0.29 % (2290962) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290951-2290962"...
% 0.19/0.29 % (2290959)...printing done.
% 0.19/0.29 % (2290957)...printing done.
% 0.19/0.29 % (2290958)...printing done.
% 0.19/0.29 % (2290959)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (2290959)------------------------------
% 0.19/0.29 % (2290959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (2290959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (2290959)CaDiCaL version: 2.1.3
% 0.19/0.29 % (2290959)Termination reason: Refutation
% 0.19/0.29 % (2290959)Time elapsed: 0.013 s
% 0.19/0.29 % (2290959)Peak memory usage: 12 MB
% 0.19/0.29 % (2290959)Instructions burned: 25 (million)
% 0.19/0.29 % (2290951)Success in time 0.056 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------