%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV097+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 : n017.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 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 46
% Syntax : Number of formulae : 232 ( 98 unt; 45 def)
% Number of atoms : 1465 ( 657 equ)
% Maximal formula atoms : 82 ( 6 avg)
% Number of connectives : 2044 ( 811 ~; 818 |; 361 &)
% ( 44 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 46 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 74 ( 0 sgn 56 !; 18 ?)
% 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,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [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 ) ) )
=> ( 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))
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X6,X7) = use
& a_select3(z_defuse,X6,X7) = use ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
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,pv5) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) )
& ! [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 ) ) )
=> ( 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))
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( a_select3(u_defuse,X4,X5) = use
& a_select3(z_defuse,X4,X5) = use ) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X6,X7) = use
& a_select3(z_defuse,X6,X7) = 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))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,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,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,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))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,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,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(flattening,[],[f143]) ).
fof(f164,definition,
( ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f165,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))
| ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
| sP4 )
& 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,pv5) )
& ! [X2,X3] :
( ( a_select3(u_defuse,X2,X3) = use
& a_select3(z_defuse,X2,X3) = use )
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,minus(pv5,n1)) ) ),
inference(definition_folding,[],[f144,f164]) ).
fof(f199,plain,
( ? [X6,X7] :
( ( use != a_select3(u_defuse,X6,X7)
| use != a_select3(z_defuse,X6,X7) )
& leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,minus(pv5,n1)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f164]) ).
fof(f200,plain,
( ? [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)) )
| ~ sP4 ),
inference(rectify,[],[f199]) ).
fof(f201,plain,
( ( ( use != a_select3(u_defuse,sK32,sK33)
| use != a_select3(z_defuse,sK32,sK33) )
& leq(n0,sK32)
& leq(n0,sK33)
& leq(sK32,n2)
& leq(sK33,minus(pv5,n1)) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f200]) ).
fof(f202,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,pv5) )
| sP4 )
& 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,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(rectify,[],[f165]) ).
fof(f203,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,sK34,sK35)
| use != a_select3(z_defuse,sK34,sK35) )
& leq(n0,sK34)
& leq(n0,sK35)
& leq(sK34,n2)
& leq(sK35,pv5) )
| sP4 )
& 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,pv5) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5)
& use = a_select3(z_defuse,X4,X5) )
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f202]) ).
fof(f314,plain,
( leq(sK33,minus(pv5,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f201]) ).
fof(f315,plain,
( leq(sK32,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f201]) ).
fof(f316,plain,
( leq(n0,sK33)
| ~ sP4 ),
inference(cnf_transformation,[],[f201]) ).
fof(f317,plain,
( leq(n0,sK32)
| ~ sP4 ),
inference(cnf_transformation,[],[f201]) ).
fof(f318,plain,
( use != a_select3(u_defuse,sK32,sK33)
| use != a_select3(z_defuse,sK32,sK33)
| ~ sP4 ),
inference(cnf_transformation,[],[f201]) ).
fof(f319,plain,
! [X4,X5] :
( ~ leq(X5,minus(pv5,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| use = a_select3(z_defuse,X4,X5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f320,plain,
! [X4,X5] :
( ~ leq(X5,minus(pv5,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| use = a_select3(u_defuse,X4,X5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f321,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f322,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f323,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f203]) ).
fof(f324,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f203]) ).
fof(f325,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f203]) ).
fof(f326,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f203]) ).
fof(f327,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f203]) ).
fof(f328,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f203]) ).
fof(f329,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f203]) ).
fof(f330,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f331,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f203]) ).
fof(f332,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f203]) ).
fof(f333,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f203]) ).
fof(f334,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f203]) ).
fof(f335,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f203]) ).
fof(f336,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f337,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f203]) ).
fof(f338,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f203]) ).
fof(f339,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f203]) ).
fof(f340,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f341,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f342,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f343,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f203]) ).
fof(f344,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f203]) ).
fof(f345,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f203]) ).
fof(f347,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f203]) ).
fof(f348,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f349,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f203]) ).
fof(f350,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f203]) ).
fof(f351,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f203]) ).
fof(f352,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(sK35,pv5)
| sP4 ),
inference(cnf_transformation,[],[f203]) ).
fof(f353,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(sK34,n2)
| sP4 ),
inference(cnf_transformation,[],[f203]) ).
fof(f354,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,sK35)
| sP4 ),
inference(cnf_transformation,[],[f203]) ).
fof(f355,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,sK34)
| sP4 ),
inference(cnf_transformation,[],[f203]) ).
fof(f356,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,sK34,sK35)
| use != a_select3(z_defuse,sK34,sK35)
| sP4 ),
inference(cnf_transformation,[],[f203]) ).
fof(f426,definition,
( spl36_1
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f430,definition,
( spl36_2
<=> leq(sK35,pv5) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f432,plain,
( leq(sK35,pv5)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl36_3
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f438,definition,
( spl36_4
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f442,definition,
( spl36_5
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f446,definition,
( spl36_6
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f450,definition,
( spl36_7
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f454,definition,
( spl36_8
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f458,definition,
( spl36_9
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f462,definition,
( spl36_10
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f466,definition,
( spl36_11
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f470,definition,
( spl36_12
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f474,definition,
( spl36_13
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f478,definition,
( spl36_14
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl36_14])],[avatar_definition]) ).
fof(f482,definition,
( spl36_15
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f486,definition,
( spl36_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl36_16])],[avatar_definition]) ).
fof(f490,definition,
( spl36_17
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f494,definition,
( spl36_18
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f498,definition,
( spl36_19
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl36_19])],[avatar_definition]) ).
fof(f502,definition,
( spl36_20
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl36_20])],[avatar_definition]) ).
fof(f506,definition,
( spl36_21
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl36_21])],[avatar_definition]) ).
fof(f510,definition,
( spl36_22
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl36_22])],[avatar_definition]) ).
fof(f514,definition,
( spl36_23
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl36_23])],[avatar_definition]) ).
fof(f518,definition,
( spl36_24
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl36_24])],[avatar_definition]) ).
fof(f522,definition,
( spl36_25
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl36_25])],[avatar_definition]) ).
fof(f526,definition,
( spl36_26
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl36_26])],[avatar_definition]) ).
fof(f530,definition,
( spl36_27
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl36_27])],[avatar_definition]) ).
fof(f534,definition,
( spl36_28
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl36_28])],[avatar_definition]) ).
fof(f538,definition,
( spl36_29
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).
fof(f542,definition,
( spl36_30
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl36_30])],[avatar_definition]) ).
fof(f546,definition,
( spl36_31
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl36_31])],[avatar_definition]) ).
fof(f549,plain,
( spl36_1
| spl36_2
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(avatar_split_clause,[],[f352,f546,f542,f538,f534,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]) ).
fof(f551,definition,
( spl36_32
<=> leq(sK34,n2) ),
introduced(definition,[new_symbols(definition,[spl36_32])],[avatar_definition]) ).
fof(f553,plain,
( leq(sK34,n2)
| ~ spl36_32 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( spl36_1
| spl36_32
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(avatar_split_clause,[],[f353,f546,f542,f538,f534,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,f551,f426]) ).
fof(f556,definition,
( spl36_33
<=> leq(n0,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_33])],[avatar_definition]) ).
fof(f558,plain,
( leq(n0,sK35)
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,plain,
( spl36_1
| spl36_33
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(avatar_split_clause,[],[f354,f546,f542,f538,f534,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,f556,f426]) ).
fof(f561,definition,
( spl36_34
<=> leq(n0,sK34) ),
introduced(definition,[new_symbols(definition,[spl36_34])],[avatar_definition]) ).
fof(f563,plain,
( leq(n0,sK34)
| ~ spl36_34 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( spl36_1
| spl36_34
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(avatar_split_clause,[],[f355,f546,f542,f538,f534,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,f561,f426]) ).
fof(f566,definition,
( spl36_35
<=> use = a_select3(z_defuse,sK34,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_35])],[avatar_definition]) ).
fof(f568,plain,
( use != a_select3(z_defuse,sK34,sK35)
| spl36_35 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl36_36
<=> use = a_select3(u_defuse,sK34,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_36])],[avatar_definition]) ).
fof(f573,plain,
( spl36_1
| ~ spl36_35
| ~ spl36_36
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(avatar_split_clause,[],[f356,f546,f542,f538,f534,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,f570,f566,f426]) ).
fof(f575,definition,
( spl36_37
<=> leq(sK33,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl36_37])],[avatar_definition]) ).
fof(f577,plain,
( leq(sK33,minus(pv5,n1))
| ~ spl36_37 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl36_1
| spl36_37 ),
inference(avatar_split_clause,[],[f314,f575,f426]) ).
fof(f580,definition,
( spl36_38
<=> leq(sK32,n2) ),
introduced(definition,[new_symbols(definition,[spl36_38])],[avatar_definition]) ).
fof(f582,plain,
( leq(sK32,n2)
| ~ spl36_38 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
( ~ spl36_1
| spl36_38 ),
inference(avatar_split_clause,[],[f315,f580,f426]) ).
fof(f585,definition,
( spl36_39
<=> leq(n0,sK33) ),
introduced(definition,[new_symbols(definition,[spl36_39])],[avatar_definition]) ).
fof(f587,plain,
( leq(n0,sK33)
| ~ spl36_39 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( ~ spl36_1
| spl36_39 ),
inference(avatar_split_clause,[],[f316,f585,f426]) ).
fof(f590,definition,
( spl36_40
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl36_40])],[avatar_definition]) ).
fof(f592,plain,
( leq(n0,sK32)
| ~ spl36_40 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,plain,
( ~ spl36_1
| spl36_40 ),
inference(avatar_split_clause,[],[f317,f590,f426]) ).
fof(f595,definition,
( spl36_41
<=> use = a_select3(z_defuse,sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl36_41])],[avatar_definition]) ).
fof(f599,definition,
( spl36_42
<=> use = a_select3(u_defuse,sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl36_42])],[avatar_definition]) ).
fof(f602,plain,
( ~ spl36_1
| ~ spl36_41
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f318,f599,f595,f426]) ).
fof(f603,plain,
spl36_4,
inference(avatar_split_clause,[],[f324,f438]) ).
fof(f604,plain,
spl36_3,
inference(avatar_split_clause,[],[f323,f434]) ).
fof(f605,plain,
spl36_5,
inference(avatar_split_clause,[],[f325,f442]) ).
fof(f606,plain,
spl36_6,
inference(avatar_split_clause,[],[f326,f446]) ).
fof(f607,plain,
spl36_7,
inference(avatar_split_clause,[],[f327,f450]) ).
fof(f608,plain,
spl36_8,
inference(avatar_split_clause,[],[f328,f454]) ).
fof(f609,plain,
spl36_9,
inference(avatar_split_clause,[],[f329,f458]) ).
fof(f610,plain,
spl36_10,
inference(avatar_split_clause,[],[f330,f462]) ).
fof(f611,plain,
spl36_11,
inference(avatar_split_clause,[],[f331,f466]) ).
fof(f612,plain,
spl36_12,
inference(avatar_split_clause,[],[f332,f470]) ).
fof(f613,plain,
spl36_13,
inference(avatar_split_clause,[],[f333,f474]) ).
fof(f614,plain,
spl36_14,
inference(avatar_split_clause,[],[f334,f478]) ).
fof(f615,plain,
spl36_15,
inference(avatar_split_clause,[],[f335,f482]) ).
fof(f616,plain,
spl36_16,
inference(avatar_split_clause,[],[f336,f486]) ).
fof(f617,plain,
spl36_17,
inference(avatar_split_clause,[],[f337,f490]) ).
fof(f618,plain,
spl36_18,
inference(avatar_split_clause,[],[f338,f494]) ).
fof(f619,plain,
spl36_19,
inference(avatar_split_clause,[],[f339,f498]) ).
fof(f620,plain,
spl36_23,
inference(avatar_split_clause,[],[f343,f514]) ).
fof(f621,plain,
spl36_24,
inference(avatar_split_clause,[],[f344,f518]) ).
fof(f622,plain,
spl36_25,
inference(avatar_split_clause,[],[f345,f522]) ).
fof(f623,plain,
spl36_26,
inference(avatar_split_clause,[],[f346,f526]) ).
fof(f624,plain,
spl36_27,
inference(avatar_split_clause,[],[f347,f530]) ).
fof(f625,plain,
spl36_28,
inference(avatar_split_clause,[],[f348,f534]) ).
fof(f626,plain,
spl36_29,
inference(avatar_split_clause,[],[f349,f538]) ).
fof(f627,plain,
spl36_30,
inference(avatar_split_clause,[],[f350,f542]) ).
fof(f628,plain,
spl36_31,
inference(avatar_split_clause,[],[f351,f546]) ).
fof(f629,plain,
spl36_20,
inference(avatar_split_clause,[],[f340,f502]) ).
fof(f630,plain,
spl36_21,
inference(avatar_split_clause,[],[f341,f506]) ).
fof(f631,plain,
spl36_22,
inference(avatar_split_clause,[],[f342,f510]) ).
fof(f703,definition,
( spl36_54
<=> ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) ) ),
introduced(definition,[new_symbols(definition,[spl36_54])],[avatar_definition]) ).
fof(f704,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_54 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f707,definition,
( spl36_55
<=> ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) ) ),
introduced(definition,[new_symbols(definition,[spl36_55])],[avatar_definition]) ).
fof(f708,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_55 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f758,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK33)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_37 ),
inference(resolution,[],[f577,f320]) ).
fof(f759,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK33)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_37 ),
inference(resolution,[],[f577,f319]) ).
fof(f760,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_37
| ~ spl36_39 ),
inference(forward_subsumption_resolution,[],[f759,f587]) ).
fof(f761,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_37
| ~ spl36_39 ),
inference(forward_subsumption_resolution,[],[f758,f587]) ).
fof(f762,plain,
( spl36_54
| ~ spl36_37
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f760,f585,f575,f703]) ).
fof(f763,plain,
( spl36_55
| ~ spl36_37
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f761,f585,f575,f707]) ).
fof(f840,plain,
( ~ leq(sK32,n2)
| use = a_select3(z_defuse,sK32,sK33)
| ~ spl36_40
| ~ spl36_54 ),
inference(resolution,[],[f704,f592]) ).
fof(f844,plain,
( use = a_select3(z_defuse,sK32,sK33)
| ~ spl36_38
| ~ spl36_40
| ~ spl36_54 ),
inference(forward_subsumption_resolution,[],[f840,f582]) ).
fof(f846,plain,
( spl36_41
| ~ spl36_38
| ~ spl36_40
| ~ spl36_54 ),
inference(avatar_split_clause,[],[f844,f703,f590,f580,f595]) ).
fof(f859,plain,
( ~ leq(sK32,n2)
| use = a_select3(u_defuse,sK32,sK33)
| ~ spl36_40
| ~ spl36_55 ),
inference(resolution,[],[f708,f592]) ).
fof(f863,plain,
( use = a_select3(u_defuse,sK32,sK33)
| ~ spl36_38
| ~ spl36_40
| ~ spl36_55 ),
inference(forward_subsumption_resolution,[],[f859,f582]) ).
fof(f867,plain,
( spl36_42
| ~ spl36_38
| ~ spl36_40
| ~ spl36_55 ),
inference(avatar_split_clause,[],[f863,f707,f590,f580,f599]) ).
fof(f868,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK35)
| ~ leq(X0,n2)
| ~ leq(sK35,pv5) )
| ~ spl36_33 ),
inference(resolution,[],[f558,f321]) ).
fof(f869,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK35)
| ~ leq(X0,n2)
| ~ leq(sK35,pv5) )
| ~ spl36_33 ),
inference(resolution,[],[f558,f322]) ).
fof(f910,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK35)
| ~ leq(X0,n2) )
| ~ spl36_2
| ~ spl36_33 ),
inference(forward_subsumption_resolution,[],[f869,f432]) ).
fof(f911,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK35)
| ~ leq(X0,n2) )
| ~ spl36_2
| ~ spl36_33 ),
inference(forward_subsumption_resolution,[],[f868,f432]) ).
fof(f987,plain,
( use = a_select3(u_defuse,sK34,sK35)
| ~ leq(sK34,n2)
| ~ spl36_2
| ~ spl36_33
| ~ spl36_34 ),
inference(resolution,[],[f910,f563]) ).
fof(f991,plain,
( use = a_select3(u_defuse,sK34,sK35)
| ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34 ),
inference(forward_subsumption_resolution,[],[f987,f553]) ).
fof(f994,plain,
( spl36_36
| ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34 ),
inference(avatar_split_clause,[],[f991,f561,f556,f551,f430,f570]) ).
fof(f1018,plain,
( use = a_select3(z_defuse,sK34,sK35)
| ~ leq(sK34,n2)
| ~ spl36_2
| ~ spl36_33
| ~ spl36_34 ),
inference(resolution,[],[f911,f563]) ).
fof(f1022,plain,
( ~ leq(sK34,n2)
| ~ spl36_2
| ~ spl36_33
| ~ spl36_34
| spl36_35 ),
inference(forward_subsumption_resolution,[],[f1018,f568]) ).
fof(f1025,plain,
( $false
| ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34
| spl36_35 ),
inference(forward_subsumption_resolution,[],[f1022,f553]) ).
fof(f1026,plain,
( ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34
| spl36_35 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
cnf(s1,plain,
( spl36_1
| spl36_2
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31 ),
inference(sat_conversion,[],[f549]) ).
cnf(s2,plain,
( spl36_1
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| spl36_32 ),
inference(sat_conversion,[],[f554]) ).
cnf(s3,plain,
( spl36_1
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| spl36_33 ),
inference(sat_conversion,[],[f559]) ).
cnf(s4,plain,
( spl36_1
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| spl36_34 ),
inference(sat_conversion,[],[f564]) ).
cnf(s5,plain,
( spl36_1
| ~ spl36_3
| ~ spl36_4
| ~ spl36_5
| ~ spl36_6
| ~ spl36_7
| ~ spl36_8
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23
| ~ spl36_24
| ~ spl36_25
| ~ spl36_26
| ~ spl36_27
| ~ spl36_28
| ~ spl36_29
| ~ spl36_30
| ~ spl36_31
| ~ spl36_35
| ~ spl36_36 ),
inference(sat_conversion,[],[f573]) ).
cnf(s6,plain,
( ~ spl36_1
| spl36_37 ),
inference(sat_conversion,[],[f578]) ).
cnf(s7,plain,
( ~ spl36_1
| spl36_38 ),
inference(sat_conversion,[],[f583]) ).
cnf(s8,plain,
( ~ spl36_1
| spl36_39 ),
inference(sat_conversion,[],[f588]) ).
cnf(s9,plain,
( ~ spl36_1
| spl36_40 ),
inference(sat_conversion,[],[f593]) ).
cnf(s10,plain,
( ~ spl36_1
| ~ spl36_41
| ~ spl36_42 ),
inference(sat_conversion,[],[f602]) ).
cnf(s11,plain,
spl36_4,
inference(sat_conversion,[],[f603]) ).
cnf(s12,plain,
spl36_3,
inference(sat_conversion,[],[f604]) ).
cnf(s13,plain,
spl36_5,
inference(sat_conversion,[],[f605]) ).
cnf(s14,plain,
spl36_6,
inference(sat_conversion,[],[f606]) ).
cnf(s15,plain,
spl36_7,
inference(sat_conversion,[],[f607]) ).
cnf(s16,plain,
spl36_8,
inference(sat_conversion,[],[f608]) ).
cnf(s17,plain,
spl36_9,
inference(sat_conversion,[],[f609]) ).
cnf(s18,plain,
spl36_10,
inference(sat_conversion,[],[f610]) ).
cnf(s19,plain,
spl36_11,
inference(sat_conversion,[],[f611]) ).
cnf(s20,plain,
spl36_12,
inference(sat_conversion,[],[f612]) ).
cnf(s21,plain,
spl36_13,
inference(sat_conversion,[],[f613]) ).
cnf(s22,plain,
spl36_14,
inference(sat_conversion,[],[f614]) ).
cnf(s23,plain,
spl36_15,
inference(sat_conversion,[],[f615]) ).
cnf(s24,plain,
spl36_16,
inference(sat_conversion,[],[f616]) ).
cnf(s25,plain,
spl36_17,
inference(sat_conversion,[],[f617]) ).
cnf(s26,plain,
spl36_18,
inference(sat_conversion,[],[f618]) ).
cnf(s27,plain,
spl36_19,
inference(sat_conversion,[],[f619]) ).
cnf(s28,plain,
spl36_23,
inference(sat_conversion,[],[f620]) ).
cnf(s29,plain,
spl36_24,
inference(sat_conversion,[],[f621]) ).
cnf(s30,plain,
spl36_25,
inference(sat_conversion,[],[f622]) ).
cnf(s31,plain,
spl36_26,
inference(sat_conversion,[],[f623]) ).
cnf(s32,plain,
spl36_27,
inference(sat_conversion,[],[f624]) ).
cnf(s33,plain,
spl36_28,
inference(sat_conversion,[],[f625]) ).
cnf(s34,plain,
spl36_29,
inference(sat_conversion,[],[f626]) ).
cnf(s35,plain,
spl36_30,
inference(sat_conversion,[],[f627]) ).
cnf(s36,plain,
spl36_31,
inference(sat_conversion,[],[f628]) ).
cnf(s37,plain,
spl36_20,
inference(sat_conversion,[],[f629]) ).
cnf(s38,plain,
spl36_21,
inference(sat_conversion,[],[f630]) ).
cnf(s39,plain,
spl36_22,
inference(sat_conversion,[],[f631]) ).
cnf(s55,plain,
( ~ spl36_37
| ~ spl36_39
| spl36_54 ),
inference(sat_conversion,[],[f762]) ).
cnf(s56,plain,
( ~ spl36_37
| ~ spl36_39
| spl36_55 ),
inference(sat_conversion,[],[f763]) ).
cnf(s63,plain,
( ~ spl36_38
| ~ spl36_40
| spl36_41
| ~ spl36_54 ),
inference(sat_conversion,[],[f846]) ).
cnf(s65,plain,
( ~ spl36_38
| ~ spl36_40
| spl36_42
| ~ spl36_55 ),
inference(sat_conversion,[],[f867]) ).
cnf(s74,plain,
( ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34
| spl36_36 ),
inference(sat_conversion,[],[f994]) ).
cnf(s75,plain,
( ~ spl36_2
| ~ spl36_32
| ~ spl36_33
| ~ spl36_34
| spl36_35 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s86,plain,
( spl36_1
| ~ spl36_35
| ~ spl36_36 ),
inference(rat,[],[s5,s36,s35,s34,s33,s32,s31,s30,s29,s28,s39,s38,s37,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s11,s12]) ).
cnf(s87,plain,
( spl36_1
| spl36_34 ),
inference(rat,[],[s4,s36,s35,s34,s33,s32,s31,s30,s29,s28,s39,s38,s37,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s11,s12]) ).
cnf(s88,plain,
( spl36_1
| spl36_33 ),
inference(rat,[],[s3,s36,s35,s34,s33,s32,s31,s30,s29,s28,s39,s38,s37,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s11,s12]) ).
cnf(s89,plain,
( spl36_1
| spl36_32 ),
inference(rat,[],[s2,s36,s35,s34,s33,s32,s31,s30,s29,s28,s39,s38,s37,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s11,s12]) ).
cnf(s90,plain,
( spl36_1
| spl36_2 ),
inference(rat,[],[s1,s36,s35,s34,s33,s32,s31,s30,s29,s28,s39,s38,s37,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s15,s14,s13,s11,s12]) ).
cnf(s91,plain,
spl36_1,
inference(rat,[],[s86,s74,s75,s90,s89,s88,s87]) ).
cnf(s92,plain,
spl36_40,
inference(rat,[],[s9,s91]) ).
cnf(s93,plain,
spl36_39,
inference(rat,[],[s8,s91]) ).
cnf(s94,plain,
spl36_38,
inference(rat,[],[s7,s91]) ).
cnf(s95,plain,
spl36_37,
inference(rat,[],[s6,s91]) ).
cnf(s96,plain,
spl36_55,
inference(rat,[],[s56,s93,s95]) ).
cnf(s97,plain,
spl36_54,
inference(rat,[],[s55,s93,s95]) ).
cnf(s98,plain,
spl36_42,
inference(rat,[],[s65,s94,s92,s96]) ).
cnf(s99,plain,
spl36_41,
inference(rat,[],[s63,s94,s92,s97]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s10,s91,s98,s99]) ).
fof(f1027,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV097+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n017.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 09:49:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 0.21/0.30 % (3442216)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (3442224)dis+10_1_sil=32000:sp=arity:random_seed=3054937573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (3442222)% WARNING: option uhcvi not known.
% 0.21/0.30 % (3442221)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1484917671_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (3442222)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3403236606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (3442223)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2159598233:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (3442225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2544218408:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (3442226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3520575306:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (3442227)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3110184154:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % (3442224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3442216-3442224"...
% 0.21/0.30 % (3442224)...printing done.
% 0.21/0.30 % (3442224)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (3442224)------------------------------
% 0.21/0.30 % (3442224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3442224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3442224)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3442224)Termination reason: Refutation
% 0.21/0.30 % (3442224)Time elapsed: 0.013 s
% 0.21/0.30 % (3442224)Peak memory usage: 13 MB
% 0.21/0.30 % (3442224)Instructions burned: 42 (million)
% 0.21/0.30 % (3442216)Success in time 0.051 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------