%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV093+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 : n003.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 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 140 ( 36 unt; 12 def)
% Number of atoms : 1048 ( 635 equ)
% Maximal formula atoms : 84 ( 7 avg)
% Number of connectives : 1401 ( 493 ~; 512 |; 375 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 22 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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,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_0005) ).
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,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,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(f153,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,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,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(f154,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,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,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,[],[f153]) ).
fof(f176,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(f177,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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,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,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,[],[f154,f176]) ).
fof(f211,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,[],[f176]) ).
fof(f212,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,[],[f211]) ).
fof(f213,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)],[f212]) ).
fof(f214,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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,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,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,[],[f177]) ).
fof(f215,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(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,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,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)],[f214]) ).
fof(f326,plain,
( leq(sK33,minus(pv5,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f213]) ).
fof(f327,plain,
( leq(sK32,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f213]) ).
fof(f328,plain,
( leq(n0,sK33)
| ~ sP4 ),
inference(cnf_transformation,[],[f213]) ).
fof(f329,plain,
( leq(n0,sK32)
| ~ sP4 ),
inference(cnf_transformation,[],[f213]) ).
fof(f330,plain,
( use != a_select3(u_defuse,sK32,sK33)
| use != a_select3(z_defuse,sK32,sK33)
| ~ sP4 ),
inference(cnf_transformation,[],[f213]) ).
fof(f331,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,[],[f215]) ).
fof(f332,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,[],[f215]) ).
fof(f333,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,[],[f215]) ).
fof(f334,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,[],[f215]) ).
fof(f336,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f215]) ).
fof(f338,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f215]) ).
fof(f339,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f215]) ).
fof(f340,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f215]) ).
fof(f341,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f215]) ).
fof(f342,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f215]) ).
fof(f343,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f215]) ).
fof(f344,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f345,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f215]) ).
fof(f346,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f215]) ).
fof(f347,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f215]) ).
fof(f348,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f215]) ).
fof(f349,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f215]) ).
fof(f350,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f351,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f215]) ).
fof(f352,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f215]) ).
fof(f353,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f215]) ).
fof(f354,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f355,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f356,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f357,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f215]) ).
fof(f358,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f215]) ).
fof(f359,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f215]) ).
fof(f360,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f215]) ).
fof(f361,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f215]) ).
fof(f362,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f363,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f215]) ).
fof(f364,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f215]) ).
fof(f365,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f215]) ).
fof(f366,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,[],[f215]) ).
fof(f367,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,[],[f215]) ).
fof(f368,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,[],[f215]) ).
fof(f369,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,[],[f215]) ).
fof(f370,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,[],[f215]) ).
fof(f450,plain,
( leq(sK35,pv5)
| sP4 ),
inference(global_subsumption,[],[f366,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344,f343,f342,f341,f340,f339,f338,f336]) ).
fof(f451,plain,
( leq(sK34,n2)
| sP4 ),
inference(global_subsumption,[],[f367,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344,f343,f342,f341,f340,f339,f338,f336]) ).
fof(f452,plain,
( leq(n0,sK35)
| sP4 ),
inference(global_subsumption,[],[f368,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344,f343,f342,f341,f340,f339,f338,f336]) ).
fof(f453,plain,
( leq(n0,sK34)
| sP4 ),
inference(global_subsumption,[],[f369,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344,f343,f342,f341,f340,f339,f338,f336]) ).
fof(f454,plain,
( use != a_select3(u_defuse,sK34,sK35)
| use != a_select3(z_defuse,sK34,sK35)
| sP4 ),
inference(global_subsumption,[],[f370,f365,f364,f363,f362,f361,f360,f359,f358,f357,f356,f355,f354,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344,f343,f342,f341,f340,f339,f338,f336]) ).
fof(f456,definition,
( spl36_1
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f457,plain,
( sP4
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( ~ sP4
| spl36_1 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f460,definition,
( spl36_2
<=> use = a_select3(z_defuse,sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f464,definition,
( spl36_3
<=> use = a_select3(u_defuse,sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f466,plain,
( use != a_select3(u_defuse,sK32,sK33)
| spl36_3 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
( ~ spl36_1
| ~ spl36_2
| ~ spl36_3 ),
inference(avatar_split_clause,[],[f330,f464,f460,f456]) ).
fof(f492,plain,
( leq(sK35,pv5)
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f450,f458]) ).
fof(f493,plain,
( leq(sK34,n2)
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f451,f458]) ).
fof(f494,plain,
( leq(n0,sK35)
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f452,f458]) ).
fof(f495,plain,
( leq(n0,sK34)
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f453,f458]) ).
fof(f496,plain,
( use != a_select3(u_defuse,sK34,sK35)
| use != a_select3(z_defuse,sK34,sK35)
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f454,f458]) ).
fof(f498,definition,
( spl36_12
<=> use = a_select3(z_defuse,sK34,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f500,plain,
( use != a_select3(z_defuse,sK34,sK35)
| spl36_12 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl36_13
<=> use = a_select3(u_defuse,sK34,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f504,plain,
( use != a_select3(u_defuse,sK34,sK35)
| spl36_13 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( ~ spl36_12
| ~ spl36_13
| spl36_1 ),
inference(avatar_split_clause,[],[f496,f456,f502,f498]) ).
fof(f521,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK35)
| ~ leq(X0,n2)
| ~ leq(sK35,pv5) )
| spl36_1 ),
inference(resolution,[],[f333,f494]) ).
fof(f522,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK35)
| ~ leq(X0,n2) )
| spl36_1 ),
inference(forward_subsumption_resolution,[],[f521,f492]) ).
fof(f576,plain,
( use = a_select3(z_defuse,sK34,sK35)
| ~ leq(sK34,n2)
| spl36_1 ),
inference(resolution,[],[f522,f495]) ).
fof(f578,plain,
( ~ leq(sK34,n2)
| spl36_1
| spl36_12 ),
inference(forward_subsumption_resolution,[],[f576,f500]) ).
fof(f579,plain,
( $false
| spl36_1
| spl36_12 ),
inference(forward_subsumption_resolution,[],[f578,f493]) ).
fof(f580,plain,
( spl36_1
| spl36_12 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f584,definition,
( spl36_20
<=> leq(sK35,pv5) ),
introduced(definition,[new_symbols(definition,[spl36_20])],[avatar_definition]) ).
fof(f586,plain,
( leq(sK35,pv5)
| ~ spl36_20 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( spl36_1
| spl36_20 ),
inference(avatar_split_clause,[],[f450,f584,f456]) ).
fof(f589,definition,
( spl36_21
<=> leq(sK34,n2) ),
introduced(definition,[new_symbols(definition,[spl36_21])],[avatar_definition]) ).
fof(f591,plain,
( leq(sK34,n2)
| ~ spl36_21 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,plain,
( spl36_1
| spl36_21 ),
inference(avatar_split_clause,[],[f451,f589,f456]) ).
fof(f594,definition,
( spl36_22
<=> leq(n0,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_22])],[avatar_definition]) ).
fof(f596,plain,
( leq(n0,sK35)
| ~ spl36_22 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,plain,
( spl36_1
| spl36_22 ),
inference(avatar_split_clause,[],[f452,f594,f456]) ).
fof(f599,definition,
( spl36_23
<=> leq(n0,sK34) ),
introduced(definition,[new_symbols(definition,[spl36_23])],[avatar_definition]) ).
fof(f601,plain,
( leq(n0,sK34)
| ~ spl36_23 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f602,plain,
( spl36_1
| spl36_23 ),
inference(avatar_split_clause,[],[f453,f599,f456]) ).
fof(f673,plain,
( leq(sK32,n2)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f327,f457]) ).
fof(f674,plain,
( leq(n0,sK33)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f328,f457]) ).
fof(f688,definition,
( spl36_39
<=> ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) ) ),
introduced(definition,[new_symbols(definition,[spl36_39])],[avatar_definition]) ).
fof(f689,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_39 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f699,definition,
( spl36_41
<=> ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) ) ),
introduced(definition,[new_symbols(definition,[spl36_41])],[avatar_definition]) ).
fof(f700,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_41 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f705,plain,
( leq(n0,sK32)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f329,f457]) ).
fof(f983,plain,
( leq(sK33,minus(pv5,n1))
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f326,f457]) ).
fof(f984,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK33)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_1 ),
inference(resolution,[],[f983,f332]) ).
fof(f985,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK33)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_1 ),
inference(resolution,[],[f983,f331]) ).
fof(f986,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,sK33) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f985,f674]) ).
fof(f987,plain,
( spl36_41
| ~ spl36_1 ),
inference(avatar_split_clause,[],[f986,f456,f699]) ).
fof(f997,plain,
( ~ leq(sK32,n2)
| use = a_select3(z_defuse,sK32,sK33)
| ~ spl36_1
| ~ spl36_41 ),
inference(resolution,[],[f700,f705]) ).
fof(f1003,plain,
( use = a_select3(z_defuse,sK32,sK33)
| ~ spl36_1
| ~ spl36_41 ),
inference(forward_subsumption_resolution,[],[f997,f673]) ).
fof(f1011,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| use = a_select3(u_defuse,X0,sK33) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f984,f674]) ).
fof(f1016,plain,
( spl36_2
| ~ spl36_1
| ~ spl36_41 ),
inference(avatar_split_clause,[],[f1003,f699,f456,f460]) ).
fof(f1098,plain,
( ~ leq(sK32,n2)
| use = a_select3(u_defuse,sK32,sK33)
| ~ spl36_1
| ~ spl36_39 ),
inference(resolution,[],[f689,f705]) ).
fof(f1104,plain,
( use = a_select3(u_defuse,sK32,sK33)
| ~ spl36_1
| ~ spl36_39 ),
inference(forward_subsumption_resolution,[],[f1098,f673]) ).
fof(f1108,plain,
( $false
| ~ spl36_1
| spl36_3
| ~ spl36_39 ),
inference(forward_subsumption_resolution,[],[f1104,f466]) ).
fof(f1109,plain,
( ~ spl36_1
| spl36_3
| ~ spl36_39 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1111,plain,
( spl36_39
| ~ spl36_1 ),
inference(avatar_split_clause,[],[f1011,f456,f688]) ).
fof(f1113,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK35)
| ~ leq(X0,n2)
| ~ leq(sK35,pv5) )
| ~ spl36_22 ),
inference(resolution,[],[f596,f334]) ).
fof(f1118,plain,
( ! [X0] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X0,sK35)
| ~ leq(X0,n2) )
| ~ spl36_20
| ~ spl36_22 ),
inference(forward_subsumption_resolution,[],[f1113,f586]) ).
fof(f1148,plain,
( use = a_select3(u_defuse,sK34,sK35)
| ~ leq(sK34,n2)
| ~ spl36_20
| ~ spl36_22
| ~ spl36_23 ),
inference(resolution,[],[f1118,f601]) ).
fof(f1154,plain,
( ~ leq(sK34,n2)
| spl36_13
| ~ spl36_20
| ~ spl36_22
| ~ spl36_23 ),
inference(forward_subsumption_resolution,[],[f1148,f504]) ).
fof(f1158,plain,
( $false
| spl36_13
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23 ),
inference(forward_subsumption_resolution,[],[f1154,f591]) ).
fof(f1159,plain,
( spl36_13
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
cnf(s211,plain,
( ~ spl36_1
| ~ spl36_2
| ~ spl36_3 ),
inference(sat_conversion,[],[f467]) ).
cnf(s275,plain,
( spl36_1
| ~ spl36_12
| ~ spl36_13 ),
inference(sat_conversion,[],[f505]) ).
cnf(s323,plain,
( spl36_1
| spl36_12 ),
inference(sat_conversion,[],[f580]) ).
cnf(s335,plain,
( spl36_1
| spl36_20 ),
inference(sat_conversion,[],[f587]) ).
cnf(s337,plain,
( spl36_1
| spl36_21 ),
inference(sat_conversion,[],[f592]) ).
cnf(s339,plain,
( spl36_1
| spl36_22 ),
inference(sat_conversion,[],[f597]) ).
cnf(s341,plain,
( spl36_1
| spl36_23 ),
inference(sat_conversion,[],[f602]) ).
cnf(s647,plain,
( ~ spl36_1
| spl36_41 ),
inference(sat_conversion,[],[f987]) ).
cnf(s674,plain,
( ~ spl36_1
| spl36_2
| ~ spl36_41 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s719,plain,
( ~ spl36_1
| spl36_3
| ~ spl36_39 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s724,plain,
( ~ spl36_1
| spl36_39 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s765,plain,
( spl36_13
| ~ spl36_20
| ~ spl36_21
| ~ spl36_22
| ~ spl36_23 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s770,plain,
spl36_1,
inference(rat,[],[s275,s765,s323,s335,s337,s339,s341]) ).
cnf(s771,plain,
spl36_39,
inference(rat,[],[s724,s770]) ).
cnf(s772,plain,
spl36_3,
inference(rat,[],[s719,s771,s770]) ).
cnf(s773,plain,
spl36_41,
inference(rat,[],[s647,s770]) ).
cnf(s774,plain,
~ spl36_2,
inference(rat,[],[s211,s772,s770]) ).
cnf(s775,plain,
$false,
inference(rat,[],[s674,s773,s770,s774]) ).
fof(f1161,plain,
$false,
inference(avatar_sat_refutation,[],[s775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV093+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:55:12 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.21/0.27 % (1480168)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (1480175)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3158938249:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (1480174)% WARNING: option uhcvi not known.
% 0.21/0.27 % (1480173)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3244068675_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (1480174)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3335213695:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (1480176)dis+10_1_sil=32000:sp=arity:random_seed=1222866131:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (1480178)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3582911087:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (1480177)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1421662549:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (1480179)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=879353134:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % (1480175) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1480168-1480175"...
% 0.21/0.27 % (1480175)...printing done.
% 0.21/0.27 % (1480175)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (1480175)------------------------------
% 0.21/0.27 % (1480175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (1480175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (1480175)CaDiCaL version: 2.1.3
% 0.21/0.27 % (1480175)Termination reason: Refutation
% 0.21/0.27 % (1480175)Time elapsed: 0.016 s
% 0.21/0.27 % (1480175)Peak memory usage: 13 MB
% 0.21/0.27 % (1480175)Instructions burned: 51 (million)
% 0.21/0.27 % (1480168)Success in time 0.05 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------