%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV095+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 01:20:12 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 177 ( 101 unt; 37 def)
% Number of atoms : 1040 ( 436 equ)
% Maximal formula atoms : 74 ( 5 avg)
% Number of connectives : 1474 ( 611 ~; 606 |; 214 &)
% ( 37 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 38 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 20 !; 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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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_0007) ).
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(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,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(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,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(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,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(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f328,plain,
( leq(sK32,minus(pv5,n1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f329,plain,
( leq(sK31,n2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f330,plain,
( leq(n0,sK32)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f331,plain,
( leq(n0,sK31)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f332,plain,
! [X0,X1] :
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| 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,X0)
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f334,plain,
leq(pv51,minus(n6,n1)),
inference(cnf_transformation,[],[f154]) ).
fof(f335,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f154]) ).
fof(f336,plain,
leq(n0,pv51),
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(f448,definition,
( spl33_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f452,definition,
( spl33_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f456,definition,
( spl33_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f460,definition,
( spl33_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f464,definition,
( spl33_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f468,definition,
( spl33_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f472,definition,
( spl33_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f476,definition,
( spl33_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f480,definition,
( spl33_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f484,definition,
( spl33_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f488,definition,
( spl33_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f492,definition,
( spl33_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f496,definition,
( spl33_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f500,definition,
( spl33_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f504,definition,
( spl33_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f508,definition,
( spl33_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f512,definition,
( spl33_17
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f516,definition,
( spl33_18
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f520,definition,
( spl33_19
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f524,definition,
( spl33_20
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f528,definition,
( spl33_21
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_21])],[avatar_definition]) ).
fof(f532,definition,
( spl33_22
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f536,definition,
( spl33_23
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f540,definition,
( spl33_24
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f544,definition,
( spl33_25
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f548,definition,
( spl33_26
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f552,definition,
( spl33_27
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f556,definition,
( spl33_28
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f560,definition,
( spl33_29
<=> leq(n0,pv51) ),
introduced(definition,[new_symbols(definition,[spl33_29])],[avatar_definition]) ).
fof(f564,definition,
( spl33_30
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f568,definition,
( spl33_31
<=> leq(pv51,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_31])],[avatar_definition]) ).
fof(f572,definition,
( spl33_32
<=> use = a_select3(u_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_32])],[avatar_definition]) ).
fof(f574,plain,
( use != a_select3(u_defuse,sK31,sK32)
| spl33_32 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl33_33
<=> use = a_select3(z_defuse,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_33])],[avatar_definition]) ).
fof(f579,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
| ~ spl33_32
| ~ spl33_33 ),
inference(avatar_split_clause,[],[f327,f576,f572,f568,f564,f560,f556,f552,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448]) ).
fof(f581,definition,
( spl33_34
<=> leq(sK32,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_34])],[avatar_definition]) ).
fof(f583,plain,
( leq(sK32,minus(pv5,n1))
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,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
| spl33_34 ),
inference(avatar_split_clause,[],[f328,f581,f568,f564,f560,f556,f552,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448]) ).
fof(f586,definition,
( spl33_35
<=> leq(sK31,n2) ),
introduced(definition,[new_symbols(definition,[spl33_35])],[avatar_definition]) ).
fof(f588,plain,
( leq(sK31,n2)
| ~ spl33_35 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,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
| spl33_35 ),
inference(avatar_split_clause,[],[f329,f586,f568,f564,f560,f556,f552,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448]) ).
fof(f591,definition,
( spl33_36
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_36])],[avatar_definition]) ).
fof(f593,plain,
( leq(n0,sK32)
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f594,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
| spl33_36 ),
inference(avatar_split_clause,[],[f330,f591,f568,f564,f560,f556,f552,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448]) ).
fof(f596,definition,
( spl33_37
<=> leq(n0,sK31) ),
introduced(definition,[new_symbols(definition,[spl33_37])],[avatar_definition]) ).
fof(f598,plain,
( leq(n0,sK31)
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f599,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
| spl33_37 ),
inference(avatar_split_clause,[],[f331,f596,f568,f564,f560,f556,f552,f548,f544,f540,f536,f532,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452,f448]) ).
fof(f600,plain,
spl33_31,
inference(avatar_split_clause,[],[f334,f568]) ).
fof(f601,plain,
spl33_30,
inference(avatar_split_clause,[],[f335,f564]) ).
fof(f602,plain,
spl33_29,
inference(avatar_split_clause,[],[f336,f560]) ).
fof(f603,plain,
spl33_28,
inference(avatar_split_clause,[],[f337,f556]) ).
fof(f604,plain,
spl33_27,
inference(avatar_split_clause,[],[f338,f552]) ).
fof(f605,plain,
spl33_26,
inference(avatar_split_clause,[],[f339,f548]) ).
fof(f606,plain,
spl33_25,
inference(avatar_split_clause,[],[f340,f544]) ).
fof(f607,plain,
spl33_24,
inference(avatar_split_clause,[],[f341,f540]) ).
fof(f608,plain,
spl33_23,
inference(avatar_split_clause,[],[f342,f536]) ).
fof(f609,plain,
spl33_22,
inference(avatar_split_clause,[],[f343,f532]) ).
fof(f610,plain,
spl33_21,
inference(avatar_split_clause,[],[f344,f528]) ).
fof(f611,plain,
spl33_20,
inference(avatar_split_clause,[],[f345,f524]) ).
fof(f612,plain,
spl33_19,
inference(avatar_split_clause,[],[f346,f520]) ).
fof(f613,plain,
spl33_18,
inference(avatar_split_clause,[],[f347,f516]) ).
fof(f614,plain,
spl33_17,
inference(avatar_split_clause,[],[f348,f512]) ).
fof(f615,plain,
spl33_16,
inference(avatar_split_clause,[],[f349,f508]) ).
fof(f616,plain,
spl33_15,
inference(avatar_split_clause,[],[f350,f504]) ).
fof(f617,plain,
spl33_14,
inference(avatar_split_clause,[],[f351,f500]) ).
fof(f618,plain,
spl33_13,
inference(avatar_split_clause,[],[f352,f496]) ).
fof(f619,plain,
spl33_12,
inference(avatar_split_clause,[],[f353,f492]) ).
fof(f620,plain,
spl33_11,
inference(avatar_split_clause,[],[f354,f488]) ).
fof(f621,plain,
spl33_10,
inference(avatar_split_clause,[],[f355,f484]) ).
fof(f622,plain,
spl33_9,
inference(avatar_split_clause,[],[f356,f480]) ).
fof(f623,plain,
spl33_8,
inference(avatar_split_clause,[],[f357,f476]) ).
fof(f624,plain,
spl33_7,
inference(avatar_split_clause,[],[f358,f472]) ).
fof(f625,plain,
spl33_6,
inference(avatar_split_clause,[],[f359,f468]) ).
fof(f626,plain,
spl33_5,
inference(avatar_split_clause,[],[f360,f464]) ).
fof(f627,plain,
spl33_4,
inference(avatar_split_clause,[],[f361,f460]) ).
fof(f628,plain,
spl33_3,
inference(avatar_split_clause,[],[f362,f456]) ).
fof(f629,plain,
spl33_2,
inference(avatar_split_clause,[],[f363,f452]) ).
fof(f630,plain,
spl33_1,
inference(avatar_split_clause,[],[f364,f448]) ).
fof(f635,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(n0,sK32)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_34 ),
inference(resolution,[],[f332,f583]) ).
fof(f636,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK32) )
| ~ spl33_34
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f635,f593]) ).
fof(f637,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(n0,sK32)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_34 ),
inference(resolution,[],[f333,f583]) ).
fof(f638,plain,
( ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK32) )
| ~ spl33_34
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f637,f593]) ).
fof(f639,plain,
( ~ leq(n0,sK31)
| use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36 ),
inference(resolution,[],[f636,f588]) ).
fof(f640,plain,
( use = a_select3(z_defuse,sK31,sK32)
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f639,f598]) ).
fof(f641,plain,
( spl33_33
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(avatar_split_clause,[],[f640,f596,f591,f586,f581,f576]) ).
fof(f642,plain,
( ~ leq(n0,sK31)
| use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36 ),
inference(resolution,[],[f638,f588]) ).
fof(f643,plain,
( use = a_select3(u_defuse,sK31,sK32)
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f642,f598]) ).
fof(f644,plain,
( $false
| spl33_32
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f643,f574]) ).
fof(f645,plain,
( spl33_32
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(avatar_contradiction_clause,[],[f644]) ).
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
| ~ spl33_32
| ~ spl33_33 ),
inference(sat_conversion,[],[f579]) ).
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_30
| ~ spl33_31
| spl33_34 ),
inference(sat_conversion,[],[f584]) ).
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_30
| ~ spl33_31
| spl33_35 ),
inference(sat_conversion,[],[f589]) ).
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_30
| ~ spl33_31
| spl33_36 ),
inference(sat_conversion,[],[f594]) ).
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_30
| ~ spl33_31
| spl33_37 ),
inference(sat_conversion,[],[f599]) ).
cnf(s6,plain,
spl33_31,
inference(sat_conversion,[],[f600]) ).
cnf(s7,plain,
spl33_30,
inference(sat_conversion,[],[f601]) ).
cnf(s8,plain,
spl33_29,
inference(sat_conversion,[],[f602]) ).
cnf(s9,plain,
spl33_28,
inference(sat_conversion,[],[f603]) ).
cnf(s10,plain,
spl33_27,
inference(sat_conversion,[],[f604]) ).
cnf(s11,plain,
spl33_26,
inference(sat_conversion,[],[f605]) ).
cnf(s12,plain,
spl33_25,
inference(sat_conversion,[],[f606]) ).
cnf(s13,plain,
spl33_24,
inference(sat_conversion,[],[f607]) ).
cnf(s14,plain,
spl33_23,
inference(sat_conversion,[],[f608]) ).
cnf(s15,plain,
spl33_22,
inference(sat_conversion,[],[f609]) ).
cnf(s16,plain,
spl33_21,
inference(sat_conversion,[],[f610]) ).
cnf(s17,plain,
spl33_20,
inference(sat_conversion,[],[f611]) ).
cnf(s18,plain,
spl33_19,
inference(sat_conversion,[],[f612]) ).
cnf(s19,plain,
spl33_18,
inference(sat_conversion,[],[f613]) ).
cnf(s20,plain,
spl33_17,
inference(sat_conversion,[],[f614]) ).
cnf(s21,plain,
spl33_16,
inference(sat_conversion,[],[f615]) ).
cnf(s22,plain,
spl33_15,
inference(sat_conversion,[],[f616]) ).
cnf(s23,plain,
spl33_14,
inference(sat_conversion,[],[f617]) ).
cnf(s24,plain,
spl33_13,
inference(sat_conversion,[],[f618]) ).
cnf(s25,plain,
spl33_12,
inference(sat_conversion,[],[f619]) ).
cnf(s26,plain,
spl33_11,
inference(sat_conversion,[],[f620]) ).
cnf(s27,plain,
spl33_10,
inference(sat_conversion,[],[f621]) ).
cnf(s28,plain,
spl33_9,
inference(sat_conversion,[],[f622]) ).
cnf(s29,plain,
spl33_8,
inference(sat_conversion,[],[f623]) ).
cnf(s30,plain,
spl33_7,
inference(sat_conversion,[],[f624]) ).
cnf(s31,plain,
spl33_6,
inference(sat_conversion,[],[f625]) ).
cnf(s32,plain,
spl33_5,
inference(sat_conversion,[],[f626]) ).
cnf(s33,plain,
spl33_4,
inference(sat_conversion,[],[f627]) ).
cnf(s34,plain,
spl33_3,
inference(sat_conversion,[],[f628]) ).
cnf(s35,plain,
spl33_2,
inference(sat_conversion,[],[f629]) ).
cnf(s36,plain,
spl33_1,
inference(sat_conversion,[],[f630]) ).
cnf(s37,plain,
( spl33_33
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(sat_conversion,[],[f641]) ).
cnf(s38,plain,
( spl33_32
| ~ spl33_34
| ~ spl33_35
| ~ spl33_36
| ~ spl33_37 ),
inference(sat_conversion,[],[f645]) ).
cnf(s39,plain,
spl33_37,
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,s35,s36]) ).
cnf(s40,plain,
spl33_36,
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,s35,s36]) ).
cnf(s41,plain,
spl33_35,
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,s35,s36]) ).
cnf(s42,plain,
spl33_34,
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,s35,s36]) ).
cnf(s43,plain,
spl33_32,
inference(rat,[],[s38,s39,s40,s41,s42]) ).
cnf(s44,plain,
spl33_33,
inference(rat,[],[s37,s39,s40,s41,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s44,s43,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,s35,s36]) ).
fof(f646,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV095+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:51:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.27 % (2290076)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2290085)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=604005297:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2290082)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2290081)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1228249628_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (2290083)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=304405951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2290082)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3997375155:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2290084)dis+10_1_sil=32000:sp=arity:random_seed=4141797193:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2290086)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=547485578:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (2290087)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2509348983:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (2290085) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290076-2290085"...
% 0.19/0.27 % (2290085)...printing done.
% 0.19/0.27 % (2290085)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (2290085)------------------------------
% 0.19/0.27 % (2290085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2290085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2290085)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2290085)Termination reason: Refutation
% 0.19/0.27 % (2290085)Time elapsed: 0.011 s
% 0.19/0.27 % (2290085)Peak memory usage: 13 MB
% 0.19/0.27 % (2290085)Instructions burned: 39 (million)
% 0.19/0.27 % (2290076)Success in time 0.041 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------