%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV096+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:20:12 PM UTC 2026
% Result : Theorem 0.11s 0.28s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 36
% Syntax : Number of formulae : 178 ( 97 unt; 35 def)
% Number of atoms : 1155 ( 575 equ)
% Maximal formula atoms : 72 ( 6 avg)
% Number of connectives : 1641 ( 664 ~; 726 |; 210 &)
% ( 35 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 36 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 24 !; 4 ?)
% 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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0008) ).
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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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(f153,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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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(f154,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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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,[],[f153]) ).
fof(f327,plain,
( use != a_select3(z_defuse,sK31,sK32)
| use != a_select3(u_defuse,sK31,sK32)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f328,plain,
( leq(sK32,minus(pv5,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f329,plain,
( leq(sK31,n2)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f330,plain,
( leq(n0,sK32)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f331,plain,
( leq(n0,sK31)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f332,plain,
! [X0,X1] :
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f333,plain,
! [X0,X1] :
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f335,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f154]) ).
fof(f337,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f154]) ).
fof(f338,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f154]) ).
fof(f339,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f154]) ).
fof(f340,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f154]) ).
fof(f341,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f154]) ).
fof(f342,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f154]) ).
fof(f343,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f344,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f154]) ).
fof(f345,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f154]) ).
fof(f346,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f154]) ).
fof(f347,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f154]) ).
fof(f348,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f154]) ).
fof(f349,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f350,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f154]) ).
fof(f351,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f154]) ).
fof(f352,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f154]) ).
fof(f353,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f354,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f355,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f356,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f154]) ).
fof(f357,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f154]) ).
fof(f358,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f154]) ).
fof(f359,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f154]) ).
fof(f360,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f154]) ).
fof(f361,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f362,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f154]) ).
fof(f363,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f154]) ).
fof(f364,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f578,plain,
~ leq(n0,pv5),
inference(consistent_polarity_flipping,[],[f337]) ).
fof(f580,plain,
~ leq(pv5,minus(n999,n1)),
inference(consistent_polarity_flipping,[],[f335]) ).
fof(f582,plain,
! [X0,X1] :
( leq(X1,minus(pv5,n1))
| leq(n0,X0)
| leq(X0,n2)
| leq(n0,X1)
| use = a_select3(u_defuse,X0,X1) ),
inference(consistent_polarity_flipping,[],[f333]) ).
fof(f583,plain,
! [X0,X1] :
( leq(X1,minus(pv5,n1))
| leq(n0,X0)
| leq(X0,n2)
| leq(n0,X1)
| use = a_select3(z_defuse,X0,X1) ),
inference(consistent_polarity_flipping,[],[f332]) ).
fof(f584,plain,
( ~ leq(n0,sK31)
| leq(pv5,minus(n999,n1))
| leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f585,plain,
( ~ leq(n0,sK32)
| leq(pv5,minus(n999,n1))
| leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f586,plain,
( ~ leq(sK31,n2)
| leq(pv5,minus(n999,n1))
| leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(consistent_polarity_flipping,[],[f329]) ).
fof(f587,plain,
( ~ leq(sK32,minus(pv5,n1))
| leq(pv5,minus(n999,n1))
| leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(consistent_polarity_flipping,[],[f328]) ).
fof(f588,plain,
( use != a_select3(z_defuse,sK31,sK32)
| use != a_select3(u_defuse,sK31,sK32)
| leq(pv5,minus(n999,n1))
| leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(consistent_polarity_flipping,[],[f327]) ).
fof(f633,definition,
( spl33_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f637,definition,
( spl33_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f641,definition,
( spl33_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f645,definition,
( spl33_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f649,definition,
( spl33_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f653,definition,
( spl33_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f657,definition,
( spl33_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f661,definition,
( spl33_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f665,definition,
( spl33_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f669,definition,
( spl33_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f673,definition,
( spl33_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f677,definition,
( spl33_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f681,definition,
( spl33_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f685,definition,
( spl33_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f689,definition,
( spl33_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f693,definition,
( spl33_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f697,definition,
( spl33_17
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f701,definition,
( spl33_18
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f705,definition,
( spl33_19
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f709,definition,
( spl33_20
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f713,definition,
( spl33_21
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_21])],[avatar_definition]) ).
fof(f717,definition,
( spl33_22
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f721,definition,
( spl33_23
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f725,definition,
( spl33_24
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f729,definition,
( spl33_25
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f733,definition,
( spl33_26
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f737,definition,
( spl33_27
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f741,definition,
( spl33_28
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f745,definition,
( spl33_29
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_29])],[avatar_definition]) ).
fof(f749,definition,
( spl33_30
<=> use = a_select3(u_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f753,definition,
( spl33_31
<=> use = a_select3(z_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_31])],[avatar_definition]) ).
fof(f755,plain,
( use != a_select3(z_defuse,sK31,sK32)
| spl33_31 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,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
| ~ spl33_31 ),
inference(avatar_split_clause,[],[f588,f753,f749,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673,f669,f665,f661,f657,f653,f649,f645,f641,f637,f633]) ).
fof(f758,definition,
( spl33_32
<=> leq(sK32,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_32])],[avatar_definition]) ).
fof(f760,plain,
( ~ leq(sK32,minus(pv5,n1))
| spl33_32 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,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_32 ),
inference(avatar_split_clause,[],[f587,f758,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673,f669,f665,f661,f657,f653,f649,f645,f641,f637,f633]) ).
fof(f763,definition,
( spl33_33
<=> leq(sK31,n2) ),
introduced(definition,[new_symbols(definition,[spl33_33])],[avatar_definition]) ).
fof(f765,plain,
( ~ leq(sK31,n2)
| spl33_33 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f766,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_33 ),
inference(avatar_split_clause,[],[f586,f763,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673,f669,f665,f661,f657,f653,f649,f645,f641,f637,f633]) ).
fof(f768,definition,
( spl33_34
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f770,plain,
( ~ leq(n0,sK32)
| spl33_34 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,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_34 ),
inference(avatar_split_clause,[],[f585,f768,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673,f669,f665,f661,f657,f653,f649,f645,f641,f637,f633]) ).
fof(f773,definition,
( spl33_35
<=> leq(n0,sK31) ),
introduced(definition,[new_symbols(definition,[spl33_35])],[avatar_definition]) ).
fof(f775,plain,
( ~ leq(n0,sK31)
| spl33_35 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f776,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_35 ),
inference(avatar_split_clause,[],[f584,f773,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701,f697,f693,f689,f685,f681,f677,f673,f669,f665,f661,f657,f653,f649,f645,f641,f637,f633]) ).
fof(f777,plain,
~ spl33_29,
inference(avatar_split_clause,[],[f580,f745]) ).
fof(f778,plain,
~ spl33_28,
inference(avatar_split_clause,[],[f578,f741]) ).
fof(f779,plain,
spl33_27,
inference(avatar_split_clause,[],[f338,f737]) ).
fof(f780,plain,
spl33_26,
inference(avatar_split_clause,[],[f339,f733]) ).
fof(f781,plain,
spl33_25,
inference(avatar_split_clause,[],[f340,f729]) ).
fof(f782,plain,
spl33_24,
inference(avatar_split_clause,[],[f341,f725]) ).
fof(f783,plain,
spl33_23,
inference(avatar_split_clause,[],[f342,f721]) ).
fof(f784,plain,
spl33_22,
inference(avatar_split_clause,[],[f343,f717]) ).
fof(f785,plain,
spl33_21,
inference(avatar_split_clause,[],[f344,f713]) ).
fof(f786,plain,
spl33_20,
inference(avatar_split_clause,[],[f345,f709]) ).
fof(f787,plain,
spl33_19,
inference(avatar_split_clause,[],[f346,f705]) ).
fof(f788,plain,
spl33_18,
inference(avatar_split_clause,[],[f347,f701]) ).
fof(f789,plain,
spl33_17,
inference(avatar_split_clause,[],[f348,f697]) ).
fof(f790,plain,
spl33_16,
inference(avatar_split_clause,[],[f349,f693]) ).
fof(f791,plain,
spl33_15,
inference(avatar_split_clause,[],[f350,f689]) ).
fof(f792,plain,
spl33_14,
inference(avatar_split_clause,[],[f351,f685]) ).
fof(f793,plain,
spl33_13,
inference(avatar_split_clause,[],[f352,f681]) ).
fof(f794,plain,
spl33_12,
inference(avatar_split_clause,[],[f353,f677]) ).
fof(f795,plain,
spl33_11,
inference(avatar_split_clause,[],[f354,f673]) ).
fof(f796,plain,
spl33_10,
inference(avatar_split_clause,[],[f355,f669]) ).
fof(f797,plain,
spl33_9,
inference(avatar_split_clause,[],[f356,f665]) ).
fof(f798,plain,
spl33_8,
inference(avatar_split_clause,[],[f357,f661]) ).
fof(f799,plain,
spl33_7,
inference(avatar_split_clause,[],[f358,f657]) ).
fof(f800,plain,
spl33_6,
inference(avatar_split_clause,[],[f359,f653]) ).
fof(f801,plain,
spl33_5,
inference(avatar_split_clause,[],[f360,f649]) ).
fof(f802,plain,
spl33_4,
inference(avatar_split_clause,[],[f361,f645]) ).
fof(f803,plain,
spl33_3,
inference(avatar_split_clause,[],[f362,f641]) ).
fof(f804,plain,
spl33_2,
inference(avatar_split_clause,[],[f363,f637]) ).
fof(f805,plain,
spl33_1,
inference(avatar_split_clause,[],[f364,f633]) ).
fof(f806,plain,
( ! [X0] :
( leq(n0,X0)
| leq(X0,n2)
| leq(n0,sK32)
| use = a_select3(u_defuse,X0,sK32) )
| spl33_32 ),
inference(resolution,[],[f582,f760]) ).
fof(f807,plain,
( ! [X0] :
( leq(n0,X0)
| leq(X0,n2)
| use = a_select3(u_defuse,X0,sK32) )
| spl33_32
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f806,f770]) ).
fof(f808,plain,
( ! [X0] :
( leq(n0,X0)
| leq(X0,n2)
| leq(n0,sK32)
| use = a_select3(z_defuse,X0,sK32) )
| spl33_32 ),
inference(resolution,[],[f583,f760]) ).
fof(f809,plain,
( ! [X0] :
( leq(n0,X0)
| leq(X0,n2)
| use = a_select3(z_defuse,X0,sK32) )
| spl33_32
| spl33_34 ),
inference(forward_subsumption_resolution,[],[f808,f770]) ).
fof(f825,plain,
( leq(n0,sK31)
| use = a_select3(u_defuse,sK31,sK32)
| spl33_32
| spl33_33
| spl33_34 ),
inference(resolution,[],[f807,f765]) ).
fof(f826,plain,
( use = a_select3(u_defuse,sK31,sK32)
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f825,f775]) ).
fof(f838,plain,
( spl33_30
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(avatar_split_clause,[],[f826,f773,f768,f763,f758,f749]) ).
fof(f840,plain,
( leq(n0,sK31)
| use = a_select3(z_defuse,sK31,sK32)
| spl33_32
| spl33_33
| spl33_34 ),
inference(resolution,[],[f809,f765]) ).
fof(f841,plain,
( use = a_select3(z_defuse,sK31,sK32)
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f840,f775]) ).
fof(f847,plain,
( $false
| spl33_31
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(forward_subsumption_resolution,[],[f841,f755]) ).
fof(f848,plain,
( spl33_31
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(avatar_contradiction_clause,[],[f847]) ).
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
| ~ spl33_31 ),
inference(sat_conversion,[],[f756]) ).
cnf(s2,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_32 ),
inference(sat_conversion,[],[f761]) ).
cnf(s3,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_33 ),
inference(sat_conversion,[],[f766]) ).
cnf(s4,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_34 ),
inference(sat_conversion,[],[f771]) ).
cnf(s5,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_35 ),
inference(sat_conversion,[],[f776]) ).
cnf(s6,plain,
~ spl33_29,
inference(sat_conversion,[],[f777]) ).
cnf(s7,plain,
~ spl33_28,
inference(sat_conversion,[],[f778]) ).
cnf(s8,plain,
spl33_27,
inference(sat_conversion,[],[f779]) ).
cnf(s9,plain,
spl33_26,
inference(sat_conversion,[],[f780]) ).
cnf(s10,plain,
spl33_25,
inference(sat_conversion,[],[f781]) ).
cnf(s11,plain,
spl33_24,
inference(sat_conversion,[],[f782]) ).
cnf(s12,plain,
spl33_23,
inference(sat_conversion,[],[f783]) ).
cnf(s13,plain,
spl33_22,
inference(sat_conversion,[],[f784]) ).
cnf(s14,plain,
spl33_21,
inference(sat_conversion,[],[f785]) ).
cnf(s15,plain,
spl33_20,
inference(sat_conversion,[],[f786]) ).
cnf(s16,plain,
spl33_19,
inference(sat_conversion,[],[f787]) ).
cnf(s17,plain,
spl33_18,
inference(sat_conversion,[],[f788]) ).
cnf(s18,plain,
spl33_17,
inference(sat_conversion,[],[f789]) ).
cnf(s19,plain,
spl33_16,
inference(sat_conversion,[],[f790]) ).
cnf(s20,plain,
spl33_15,
inference(sat_conversion,[],[f791]) ).
cnf(s21,plain,
spl33_14,
inference(sat_conversion,[],[f792]) ).
cnf(s22,plain,
spl33_13,
inference(sat_conversion,[],[f793]) ).
cnf(s23,plain,
spl33_12,
inference(sat_conversion,[],[f794]) ).
cnf(s24,plain,
spl33_11,
inference(sat_conversion,[],[f795]) ).
cnf(s25,plain,
spl33_10,
inference(sat_conversion,[],[f796]) ).
cnf(s26,plain,
spl33_9,
inference(sat_conversion,[],[f797]) ).
cnf(s27,plain,
spl33_8,
inference(sat_conversion,[],[f798]) ).
cnf(s28,plain,
spl33_7,
inference(sat_conversion,[],[f799]) ).
cnf(s29,plain,
spl33_6,
inference(sat_conversion,[],[f800]) ).
cnf(s30,plain,
spl33_5,
inference(sat_conversion,[],[f801]) ).
cnf(s31,plain,
spl33_4,
inference(sat_conversion,[],[f802]) ).
cnf(s32,plain,
spl33_3,
inference(sat_conversion,[],[f803]) ).
cnf(s33,plain,
spl33_2,
inference(sat_conversion,[],[f804]) ).
cnf(s34,plain,
spl33_1,
inference(sat_conversion,[],[f805]) ).
cnf(s39,plain,
( spl33_30
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(sat_conversion,[],[f838]) ).
cnf(s41,plain,
( spl33_31
| spl33_32
| spl33_33
| spl33_34
| spl33_35 ),
inference(sat_conversion,[],[f848]) ).
cnf(s42,plain,
~ spl33_35,
inference(rat,[],[s5,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s43,plain,
~ spl33_34,
inference(rat,[],[s4,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s44,plain,
~ spl33_33,
inference(rat,[],[s3,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s45,plain,
~ spl33_32,
inference(rat,[],[s2,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s46,plain,
spl33_31,
inference(rat,[],[s41,s42,s43,s44,s45]) ).
cnf(s47,plain,
spl33_30,
inference(rat,[],[s39,s42,s43,s44,s45]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s1,s46,s47,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
fof(f849,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV096+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n015.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 09:57:02 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.28 % (2515449)Will run a generic schedule for satisfiability detection.
% 0.11/0.28 % (2515454)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1322181979_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.28 % (2515457)dis+10_1_sil=32000:sp=arity:random_seed=3847879947:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.28 % (2515458)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=674946457:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.28 % (2515456)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=466497101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.28 % (2515459)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4205036367:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.28 % (2515460)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1452833357:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.28 % (2515455)% WARNING: option uhcvi not known.
% 0.11/0.28 % (2515455)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=708509493:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.28 % (2515457) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515449-2515457"...
% 0.11/0.28 % (2515455) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515449-2515455"...
% 0.11/0.28 % (2515456) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515449-2515456"...
% 0.11/0.28 % (2515455)...printing done.
% 0.11/0.28 % (2515460) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515449-2515460"...
% 0.11/0.28 % (2515455)Refutation found. Thanks to Tanya!
% 0.11/0.28 % SZS status Theorem for theBenchmark
% 0.11/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.28 % (2515455)------------------------------
% 0.11/0.28 % (2515455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.28 % (2515455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.28 % (2515455)CaDiCaL version: 2.1.3
% 0.11/0.28 % (2515455)Termination reason: Refutation
% 0.11/0.28 % (2515455)Time elapsed: 0.008 s
% 0.11/0.28 % (2515455)Peak memory usage: 13 MB
% 0.11/0.28 % (2515455)Instructions burned: 28 (million)
% 0.11/0.28 % (2515449)Success in time 0.049 s
% 0.11/0.28 % Vampire exiting
%------------------------------------------------------------------------------