TSTP Solution File: SWV093+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:55:28 EDT 2022
% Result : Theorem 2.11s 0.66s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 35
% Syntax : Number of formulae : 378 ( 94 unt; 0 def)
% Number of atoms : 4605 (3648 equ)
% Maximal formula atoms : 84 ( 12 avg)
% Number of connectives : 7792 (3565 ~;3741 |; 469 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 53 con; 0-3 aty)
% Number of variables : 86 ( 64 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f991,plain,
$false,
inference(subsumption_resolution,[],[f976,f990]) ).
fof(f990,plain,
use != sF65,
inference(subsumption_resolution,[],[f985,f973]) ).
fof(f973,plain,
~ sP2,
inference(subsumption_resolution,[],[f972,f941]) ).
fof(f941,plain,
( use != a_select3(u_defuse,sK17,sK18)
| ~ sP2 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f940,plain,
( use != a_select3(u_defuse,sK17,sK18)
| use != use
| ~ sP2 ),
inference(backward_demodulation,[],[f340,f939]) ).
fof(f939,plain,
use = a_select3(z_defuse,sK17,sK18),
inference(subsumption_resolution,[],[f938,f937]) ).
fof(f937,plain,
( use = a_select3(z_defuse,sK17,sK18)
| use = sF66 ),
inference(resolution,[],[f924,f824]) ).
fof(f824,plain,
( sP2
| use = sF66 ),
inference(forward_demodulation,[],[f823,f518]) ).
fof(f518,plain,
sF66 = a_select3(u_defuse,sK19,sK20),
introduced(function_definition,[]) ).
fof(f823,plain,
( use = a_select3(u_defuse,sK19,sK20)
| sP2 ),
inference(subsumption_resolution,[],[f820,f796]) ).
fof(f796,plain,
( leq(n0,sK20)
| sP2 ),
inference(trivial_inequality_removal,[],[f790]) ).
fof(f790,plain,
( use != use
| leq(n0,sK20)
| sP2 ),
inference(backward_demodulation,[],[f754,f479]) ).
fof(f479,plain,
use = sF39,
inference(definition_folding,[],[f378,f478]) ).
fof(f478,plain,
a_select2(sigma_defuse,n0) = sF39,
introduced(function_definition,[]) ).
fof(f378,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n4)
& leq(pv41,minus(n6,n1))
& leq(n0,pv41)
& use = a_select2(xinit_defuse,n5)
& ! [X0,X1] :
( ~ leq(X1,pv5)
| ~ leq(n0,X1)
| ( use = a_select3(u_defuse,X0,X1)
& use = a_select3(z_defuse,X0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| ( leq(sK19,n2)
& ( use != a_select3(z_defuse,sK19,sK20)
| use != a_select3(u_defuse,sK19,sK20) )
& leq(n0,sK20)
& leq(sK20,pv5)
& leq(n0,sK19) )
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& use = a_select2(sigma_defuse,n1)
& ! [X4,X5] :
( ~ leq(X4,minus(pv5,n1))
| ~ leq(n0,X4)
| ( use = a_select3(u_defuse,X5,X4)
& use = a_select3(z_defuse,X5,X4) )
| ~ leq(n0,X5)
| ~ leq(X5,n2) )
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f223,f224]) ).
fof(f224,plain,
( ? [X2,X3] :
( leq(X2,n2)
& ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) )
& leq(n0,X3)
& leq(X3,pv5)
& leq(n0,X2) )
=> ( leq(sK19,n2)
& ( use != a_select3(z_defuse,sK19,sK20)
| use != a_select3(u_defuse,sK19,sK20) )
& leq(n0,sK20)
& leq(sK20,pv5)
& leq(n0,sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n4)
& leq(pv41,minus(n6,n1))
& leq(n0,pv41)
& use = a_select2(xinit_defuse,n5)
& ! [X0,X1] :
( ~ leq(X1,pv5)
| ~ leq(n0,X1)
| ( use = a_select3(u_defuse,X0,X1)
& use = a_select3(z_defuse,X0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| ? [X2,X3] :
( leq(X2,n2)
& ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) )
& leq(n0,X3)
& leq(X3,pv5)
& leq(n0,X2) )
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& use = a_select2(sigma_defuse,n1)
& ! [X4,X5] :
( ~ leq(X4,minus(pv5,n1))
| ~ leq(n0,X4)
| ( use = a_select3(u_defuse,X5,X4)
& use = a_select3(z_defuse,X5,X4) )
| ~ leq(n0,X5)
| ~ leq(X5,n2) )
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n4)
& leq(pv41,minus(n6,n1))
& leq(n0,pv41)
& use = a_select2(xinit_defuse,n5)
& ! [X1,X0] :
( ~ leq(X0,pv5)
| ~ leq(n0,X0)
| ( use = a_select3(u_defuse,X1,X0)
& use = a_select3(z_defuse,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| ? [X6,X7] :
( leq(X6,n2)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) )
& leq(n0,X7)
& leq(X7,pv5)
& leq(n0,X6) )
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& use = a_select2(sigma_defuse,n1)
& ! [X2,X3] :
( ~ leq(X2,minus(pv5,n1))
| ~ leq(n0,X2)
| ( use = a_select3(u_defuse,X3,X2)
& use = a_select3(z_defuse,X3,X2) )
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) ),
inference(definition_folding,[],[f176,f189]) ).
fof(f189,plain,
( ? [X4,X5] :
( leq(n0,X5)
& ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(X5,minus(pv5,n1))
& leq(n0,X4)
& leq(X4,n2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f176,plain,
( use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n4)
& leq(pv41,minus(n6,n1))
& leq(n0,pv41)
& use = a_select2(xinit_defuse,n5)
& ! [X1,X0] :
( ~ leq(X0,pv5)
| ~ leq(n0,X0)
| ( use = a_select3(u_defuse,X1,X0)
& use = a_select3(z_defuse,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| ? [X6,X7] :
( leq(X6,n2)
& ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) )
& leq(n0,X7)
& leq(X7,pv5)
& leq(n0,X6) )
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| ? [X4,X5] :
( leq(n0,X5)
& ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(X5,minus(pv5,n1))
& leq(n0,X4)
& leq(X4,n2) )
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& use = a_select2(sigma_defuse,n1)
& ! [X2,X3] :
( ~ leq(X2,minus(pv5,n1))
| ~ leq(n0,X2)
| ( use = a_select3(u_defuse,X3,X2)
& use = a_select3(z_defuse,X3,X2) )
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
( ( use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n4)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| ? [X5,X4] :
( ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,n2)
& leq(X5,minus(pv5,n1)) )
| ~ leq(n0,pv5)
| use != a_select2(sigma_defuse,n1)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(rho_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_noise_defuse,n4)
| ~ leq(pv5,minus(n999,n1))
| ? [X6,X7] :
( ( use != a_select3(z_defuse,X6,X7)
| use != a_select3(u_defuse,X6,X7) )
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& leq(X7,pv5) )
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(rho_defuse,n2)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(sigma_defuse,n2) )
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv41)
& use = a_select2(xinit_noise_defuse,n3)
& ! [X1,X0] :
( ( use = a_select3(u_defuse,X1,X0)
& use = a_select3(z_defuse,X1,X0) )
| ~ leq(X1,n2)
| ~ leq(X0,pv5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& use = a_select2(xinit_defuse,n4)
& leq(pv5,minus(n999,n1))
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& leq(pv41,minus(n6,n1))
& use = a_select2(sigma_defuse,n4)
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X3,X2)
& use = a_select3(z_defuse,X3,X2) )
| ~ leq(n0,X3)
| ~ leq(X2,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(X3,n2) )
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
~ ( ( use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv41)
& use = a_select2(xinit_noise_defuse,n3)
& ! [X1,X0] :
( ( leq(X1,n2)
& leq(X0,pv5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use = a_select3(u_defuse,X1,X0)
& use = a_select3(z_defuse,X1,X0) ) )
& use = a_select2(xinit_defuse,n4)
& leq(pv5,minus(n999,n1))
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& leq(pv41,minus(n6,n1))
& use = a_select2(sigma_defuse,n4)
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X2,minus(pv5,n1))
& leq(n0,X2)
& leq(X3,n2) )
=> ( use = a_select3(u_defuse,X3,X2)
& use = a_select3(z_defuse,X3,X2) ) )
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4) )
=> ( use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& ! [X5,X4] :
( ( leq(n0,X5)
& leq(n0,X4)
& leq(X4,n2)
& leq(X5,minus(pv5,n1)) )
=> ( use = a_select3(z_defuse,X4,X5)
& use = a_select3(u_defuse,X4,X5) ) )
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& leq(pv5,minus(n999,n1))
& ! [X6,X7] :
( ( leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6)
& leq(X7,pv5) )
=> ( use = a_select3(u_defuse,X6,X7)
& use = a_select3(z_defuse,X6,X7) ) )
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n2) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& ! [X17,X13] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X13,n2)
& leq(X17,pv5) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& use = a_select2(xinit_mean_defuse,n2)
& ! [X19,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,minus(pv5,n1))
& leq(n0,X19) )
=> ( use = a_select3(z_defuse,X3,X19)
& use = a_select3(u_defuse,X3,X19) ) )
& leq(pv41,minus(n6,n1))
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_noise_defuse,n5)
& leq(n0,pv41)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(rho_defuse,n0)
& leq(n0,pv5)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n2) )
=> ( use = a_select2(xinit_noise_defuse,n1)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n3)
& ! [X27,X28] :
( ( leq(n0,X27)
& leq(X27,n2)
& leq(n0,X28)
& leq(X28,minus(pv5,n1)) )
=> ( use = a_select3(z_defuse,X27,X28)
& use = a_select3(u_defuse,X27,X28) ) )
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n1)
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20)
& leq(X21,pv5) )
=> ( use = a_select3(z_defuse,X20,X21)
& use = a_select3(u_defuse,X20,X21) ) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(rho_defuse,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0)
& leq(pv5,minus(n999,n1))
& ! [X17,X13] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X13,n2)
& leq(X17,pv5) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& use = a_select2(xinit_mean_defuse,n2)
& ! [X19,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,minus(pv5,n1))
& leq(n0,X19) )
=> ( use = a_select3(z_defuse,X3,X19)
& use = a_select3(u_defuse,X3,X19) ) )
& leq(pv41,minus(n6,n1))
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_noise_defuse,n5)
& leq(n0,pv41)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(rho_defuse,n0)
& leq(n0,pv5)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n2) )
=> ( use = a_select2(xinit_noise_defuse,n1)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n3)
& ! [X27,X28] :
( ( leq(n0,X27)
& leq(X27,n2)
& leq(n0,X28)
& leq(X28,minus(pv5,n1)) )
=> ( use = a_select3(z_defuse,X27,X28)
& use = a_select3(u_defuse,X27,X28) ) )
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n1)
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20)
& leq(X21,pv5) )
=> ( use = a_select3(z_defuse,X20,X21)
& use = a_select3(u_defuse,X20,X21) ) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(rho_defuse,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0005) ).
fof(f754,plain,
( leq(n0,sK20)
| use != sF39
| sP2 ),
inference(trivial_inequality_removal,[],[f750]) ).
fof(f750,plain,
( leq(n0,sK20)
| use != use
| sP2
| use != sF39 ),
inference(backward_demodulation,[],[f746,f537]) ).
fof(f537,plain,
use = sF56,
inference(definition_folding,[],[f345,f507]) ).
fof(f507,plain,
a_select2(xinit_noise_defuse,n1) = sF56,
introduced(function_definition,[]) ).
fof(f345,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f225]) ).
fof(f746,plain,
( sP2
| leq(n0,sK20)
| use != sF39
| use != sF56 ),
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
( use != sF39
| sP2
| leq(n0,sK20)
| use != sF56
| use != use ),
inference(backward_demodulation,[],[f737,f528]) ).
fof(f528,plain,
use = sF62,
inference(definition_folding,[],[f353,f513]) ).
fof(f513,plain,
a_select2(xinit_mean_defuse,n0) = sF62,
introduced(function_definition,[]) ).
fof(f353,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f737,plain,
( use != sF62
| use != sF56
| sP2
| leq(n0,sK20)
| use != sF39 ),
inference(subsumption_resolution,[],[f734,f343]) ).
fof(f343,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f225]) ).
fof(f734,plain,
( use != sF62
| leq(n0,sK20)
| ~ leq(n0,pv5)
| use != sF56
| use != sF39
| sP2 ),
inference(trivial_inequality_removal,[],[f729]) ).
fof(f729,plain,
( ~ leq(n0,pv5)
| use != sF39
| use != sF62
| use != use
| sP2
| leq(n0,sK20)
| use != sF56 ),
inference(backward_demodulation,[],[f723,f497]) ).
fof(f497,plain,
use = sF48,
inference(definition_folding,[],[f366,f496]) ).
fof(f496,plain,
a_select2(xinit_mean_defuse,n2) = sF48,
introduced(function_definition,[]) ).
fof(f366,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f225]) ).
fof(f723,plain,
( use != sF48
| use != sF56
| sP2
| use != sF39
| ~ leq(n0,pv5)
| leq(n0,sK20)
| use != sF62 ),
inference(trivial_inequality_removal,[],[f718]) ).
fof(f718,plain,
( use != sF56
| use != sF62
| use != use
| leq(n0,sK20)
| sP2
| use != sF48
| ~ leq(n0,pv5)
| use != sF39 ),
inference(backward_demodulation,[],[f714,f495]) ).
fof(f495,plain,
use = sF47,
inference(definition_folding,[],[f367,f494]) ).
fof(f494,plain,
a_select3(u_defuse,n2,n0) = sF47,
introduced(function_definition,[]) ).
fof(f367,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f714,plain,
( use != sF47
| use != sF39
| use != sF56
| sP2
| leq(n0,sK20)
| ~ leq(n0,pv5)
| use != sF62
| use != sF48 ),
inference(trivial_inequality_removal,[],[f708]) ).
fof(f708,plain,
( use != use
| sP2
| ~ leq(n0,pv5)
| use != sF47
| use != sF39
| use != sF56
| leq(n0,sK20)
| use != sF48
| use != sF62 ),
inference(backward_demodulation,[],[f701,f477]) ).
fof(f477,plain,
use = sF38,
inference(definition_folding,[],[f379,f476]) ).
fof(f476,plain,
a_select2(xinit_mean_defuse,n1) = sF38,
introduced(function_definition,[]) ).
fof(f379,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f225]) ).
fof(f701,plain,
( leq(n0,sK20)
| use != sF48
| use != sF38
| use != sF56
| use != sF39
| ~ leq(n0,pv5)
| use != sF62
| sP2
| use != sF47 ),
inference(trivial_inequality_removal,[],[f695]) ).
fof(f695,plain,
( use != sF38
| use != use
| leq(n0,sK20)
| ~ leq(n0,pv5)
| sP2
| use != sF56
| use != sF39
| use != sF47
| use != sF48
| use != sF62 ),
inference(backward_demodulation,[],[f694,f525]) ).
fof(f525,plain,
use = sF57,
inference(definition_folding,[],[f356,f508]) ).
fof(f508,plain,
a_select2(xinit_mean_defuse,n3) = sF57,
introduced(function_definition,[]) ).
fof(f356,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f225]) ).
fof(f694,plain,
( use != sF47
| use != sF57
| use != sF56
| leq(n0,sK20)
| use != sF62
| use != sF38
| use != sF39
| use != sF48
| ~ leq(n0,pv5)
| sP2 ),
inference(subsumption_resolution,[],[f693,f527]) ).
fof(f527,plain,
use = sF58,
inference(definition_folding,[],[f354,f509]) ).
fof(f509,plain,
a_select2(xinit_noise_defuse,n2) = sF58,
introduced(function_definition,[]) ).
fof(f354,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f225]) ).
fof(f693,plain,
( use != sF38
| use != sF56
| use != sF48
| use != sF58
| use != sF47
| use != sF62
| sP2
| ~ leq(n0,pv5)
| use != sF57
| leq(n0,sK20)
| use != sF39 ),
inference(subsumption_resolution,[],[f692,f475]) ).
fof(f475,plain,
use = sF37,
inference(definition_folding,[],[f380,f474]) ).
fof(f474,plain,
a_select2(sigma_defuse,n3) = sF37,
introduced(function_definition,[]) ).
fof(f380,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f225]) ).
fof(f692,plain,
( ~ leq(n0,pv5)
| use != sF56
| use != sF48
| use != sF47
| use != sF37
| use != sF62
| use != sF38
| use != sF39
| use != sF57
| leq(n0,sK20)
| use != sF58
| sP2 ),
inference(subsumption_resolution,[],[f691,f491]) ).
fof(f491,plain,
use = sF45,
inference(definition_folding,[],[f369,f490]) ).
fof(f490,plain,
a_select2(xinit_noise_defuse,n4) = sF45,
introduced(function_definition,[]) ).
fof(f369,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f225]) ).
fof(f691,plain,
( use != sF62
| use != sF57
| ~ leq(n0,pv5)
| use != sF56
| leq(n0,sK20)
| use != sF38
| use != sF47
| use != sF48
| sP2
| use != sF39
| use != sF45
| use != sF37
| use != sF58 ),
inference(subsumption_resolution,[],[f690,f526]) ).
fof(f526,plain,
use = sF51,
inference(definition_folding,[],[f355,f502]) ).
fof(f502,plain,
a_select2(xinit_mean_defuse,n4) = sF51,
introduced(function_definition,[]) ).
fof(f355,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f225]) ).
fof(f690,plain,
( use != sF39
| use != sF56
| use != sF57
| leq(n0,sK20)
| use != sF62
| use != sF38
| ~ leq(n0,pv5)
| use != sF51
| use != sF37
| use != sF45
| use != sF47
| use != sF48
| sP2
| use != sF58 ),
inference(subsumption_resolution,[],[f689,f473]) ).
fof(f473,plain,
use = sF36,
inference(definition_folding,[],[f381,f472]) ).
fof(f472,plain,
a_select2(rho_defuse,n2) = sF36,
introduced(function_definition,[]) ).
fof(f381,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f225]) ).
fof(f689,plain,
( use != sF62
| use != sF48
| use != sF36
| ~ leq(n0,pv5)
| use != sF58
| use != sF47
| leq(n0,sK20)
| use != sF39
| use != sF57
| sP2
| use != sF37
| use != sF56
| use != sF51
| use != sF38
| use != sF45 ),
inference(subsumption_resolution,[],[f688,f493]) ).
fof(f493,plain,
use = sF46,
inference(definition_folding,[],[f368,f492]) ).
fof(f492,plain,
a_select2(rho_defuse,n0) = sF46,
introduced(function_definition,[]) ).
fof(f368,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f688,plain,
( leq(n0,sK20)
| use != sF46
| ~ leq(n0,pv5)
| sP2
| use != sF57
| use != sF38
| use != sF62
| use != sF56
| use != sF36
| use != sF51
| use != sF37
| use != sF47
| use != sF58
| use != sF45
| use != sF48
| use != sF39 ),
inference(subsumption_resolution,[],[f687,f530]) ).
fof(f530,plain,
use = sF64,
inference(definition_folding,[],[f351,f515]) ).
fof(f515,plain,
a_select2(sigma_defuse,n1) = sF64,
introduced(function_definition,[]) ).
fof(f351,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f225]) ).
fof(f687,plain,
( ~ leq(n0,pv5)
| sP2
| use != sF56
| use != sF57
| use != sF64
| use != sF48
| leq(n0,sK20)
| use != sF36
| use != sF58
| use != sF51
| use != sF45
| use != sF62
| use != sF46
| use != sF38
| use != sF47
| use != sF39
| use != sF37 ),
inference(subsumption_resolution,[],[f686,f535]) ).
fof(f535,plain,
use = sF63,
inference(definition_folding,[],[f347,f514]) ).
fof(f514,plain,
a_select3(u_defuse,n1,n0) = sF63,
introduced(function_definition,[]) ).
fof(f347,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f686,plain,
( use != sF63
| use != sF47
| use != sF36
| use != sF57
| use != sF62
| use != sF38
| use != sF51
| use != sF37
| use != sF46
| use != sF39
| use != sF56
| use != sF64
| use != sF45
| sP2
| leq(n0,sK20)
| ~ leq(n0,pv5)
| use != sF58
| use != sF48 ),
inference(subsumption_resolution,[],[f685,f538]) ).
fof(f538,plain,
use = sF55,
inference(definition_folding,[],[f344,f506]) ).
fof(f506,plain,
a_select2(xinit_noise_defuse,n3) = sF55,
introduced(function_definition,[]) ).
fof(f344,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f225]) ).
fof(f685,plain,
( use != sF55
| use != sF51
| use != sF45
| use != sF62
| use != sF63
| use != sF56
| use != sF48
| sP2
| use != sF46
| use != sF36
| use != sF37
| use != sF47
| use != sF57
| use != sF38
| use != sF39
| use != sF64
| ~ leq(n0,pv5)
| leq(n0,sK20)
| use != sF58 ),
inference(subsumption_resolution,[],[f684,f529]) ).
fof(f529,plain,
leq(pv5,sF60),
inference(definition_folding,[],[f352,f511]) ).
fof(f511,plain,
minus(n999,n1) = sF60,
introduced(function_definition,[]) ).
fof(f352,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f225]) ).
fof(f684,plain,
( ~ leq(pv5,sF60)
| use != sF47
| use != sF62
| use != sF45
| use != sF51
| sP2
| use != sF36
| use != sF39
| use != sF57
| use != sF64
| use != sF58
| use != sF56
| use != sF63
| use != sF48
| ~ leq(n0,pv5)
| use != sF46
| use != sF37
| use != sF38
| use != sF55
| leq(n0,sK20) ),
inference(subsumption_resolution,[],[f683,f499]) ).
fof(f499,plain,
use = sF49,
inference(definition_folding,[],[f365,f498]) ).
fof(f498,plain,
a_select2(rho_defuse,n1) = sF49,
introduced(function_definition,[]) ).
fof(f365,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f225]) ).
fof(f683,plain,
( use != sF47
| use != sF38
| sP2
| use != sF49
| use != sF64
| ~ leq(pv5,sF60)
| use != sF63
| use != sF39
| ~ leq(n0,pv5)
| use != sF36
| use != sF57
| use != sF37
| use != sF46
| use != sF58
| leq(n0,sK20)
| use != sF51
| use != sF56
| use != sF55
| use != sF48
| use != sF62
| use != sF45 ),
inference(subsumption_resolution,[],[f682,f501]) ).
fof(f501,plain,
use = sF50,
inference(definition_folding,[],[f364,f500]) ).
fof(f500,plain,
a_select2(xinit_mean_defuse,n5) = sF50,
introduced(function_definition,[]) ).
fof(f364,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f225]) ).
fof(f682,plain,
( use != sF48
| leq(n0,sK20)
| use != sF50
| use != sF49
| use != sF39
| use != sF56
| ~ leq(pv5,sF60)
| use != sF51
| use != sF47
| use != sF37
| use != sF36
| use != sF55
| use != sF46
| ~ leq(n0,pv5)
| use != sF38
| use != sF62
| use != sF64
| use != sF45
| sP2
| use != sF58
| use != sF63
| use != sF57 ),
inference(subsumption_resolution,[],[f681,f523]) ).
fof(f523,plain,
use = sF52,
inference(definition_folding,[],[f358,f503]) ).
fof(f503,plain,
a_select2(xinit_noise_defuse,n5) = sF52,
introduced(function_definition,[]) ).
fof(f358,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f225]) ).
fof(f681,plain,
( use != sF52
| use != sF39
| use != sF63
| leq(n0,sK20)
| ~ leq(pv5,sF60)
| use != sF51
| use != sF62
| use != sF50
| use != sF36
| use != sF55
| use != sF38
| use != sF46
| use != sF45
| use != sF56
| use != sF48
| ~ leq(n0,pv5)
| use != sF64
| use != sF57
| use != sF37
| use != sF58
| use != sF49
| use != sF47
| sP2 ),
inference(subsumption_resolution,[],[f680,f489]) ).
fof(f489,plain,
use = sF44,
inference(definition_folding,[],[f370,f488]) ).
fof(f488,plain,
a_select2(xinit_defuse,n3) = sF44,
introduced(function_definition,[]) ).
fof(f370,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f225]) ).
fof(f680,plain,
( use != sF44
| ~ leq(pv5,sF60)
| leq(n0,sK20)
| use != sF38
| use != sF45
| use != sF48
| sP2
| use != sF49
| use != sF50
| use != sF62
| use != sF52
| use != sF58
| use != sF57
| use != sF63
| use != sF39
| use != sF55
| use != sF51
| use != sF46
| ~ leq(n0,pv5)
| use != sF64
| use != sF36
| use != sF47
| use != sF56
| use != sF37 ),
inference(subsumption_resolution,[],[f679,f487]) ).
fof(f487,plain,
use = sF43,
inference(definition_folding,[],[f373,f486]) ).
fof(f486,plain,
a_select2(xinit_defuse,n5) = sF43,
introduced(function_definition,[]) ).
fof(f373,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f225]) ).
fof(f679,plain,
( use != sF43
| use != sF45
| use != sF52
| sP2
| use != sF39
| ~ leq(pv5,sF60)
| use != sF48
| use != sF47
| use != sF37
| use != sF38
| use != sF46
| use != sF62
| use != sF50
| use != sF55
| use != sF56
| use != sF44
| use != sF57
| use != sF51
| use != sF58
| use != sF49
| leq(n0,sK20)
| use != sF36
| ~ leq(n0,pv5)
| use != sF64
| use != sF63 ),
inference(subsumption_resolution,[],[f678,f536]) ).
fof(f536,plain,
use = sF54,
inference(definition_folding,[],[f346,f505]) ).
fof(f505,plain,
a_select2(sigma_defuse,n5) = sF54,
introduced(function_definition,[]) ).
fof(f346,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f225]) ).
fof(f678,plain,
( use != sF54
| use != sF52
| use != sF63
| sP2
| use != sF43
| use != sF44
| use != sF49
| use != sF62
| use != sF64
| ~ leq(pv5,sF60)
| use != sF37
| use != sF38
| use != sF51
| use != sF58
| use != sF56
| use != sF55
| use != sF39
| use != sF45
| use != sF36
| use != sF57
| leq(n0,sK20)
| ~ leq(n0,pv5)
| use != sF50
| use != sF47
| use != sF48
| use != sF46 ),
inference(subsumption_resolution,[],[f677,f539]) ).
fof(f539,plain,
use = sF59,
inference(definition_folding,[],[f342,f510]) ).
fof(f510,plain,
a_select2(sigma_defuse,n4) = sF59,
introduced(function_definition,[]) ).
fof(f342,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f225]) ).
fof(f677,plain,
( use != sF59
| use != sF63
| use != sF50
| use != sF58
| sP2
| use != sF36
| leq(n0,sK20)
| use != sF37
| use != sF64
| use != sF48
| ~ leq(pv5,sF60)
| use != sF38
| use != sF45
| use != sF49
| use != sF47
| use != sF55
| use != sF62
| use != sF44
| use != sF46
| ~ leq(n0,pv5)
| use != sF51
| use != sF54
| use != sF39
| use != sF43
| use != sF52
| use != sF56
| use != sF57 ),
inference(subsumption_resolution,[],[f676,f481]) ).
fof(f481,plain,
use = sF40,
inference(definition_folding,[],[f377,f480]) ).
fof(f480,plain,
a_select3(u_defuse,n0,n0) = sF40,
introduced(function_definition,[]) ).
fof(f377,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f676,plain,
( ~ leq(n0,pv5)
| use != sF39
| use != sF40
| use != sF54
| use != sF51
| use != sF44
| use != sF62
| use != sF38
| use != sF36
| use != sF56
| use != sF45
| use != sF59
| use != sF47
| use != sF55
| sP2
| use != sF48
| ~ leq(pv5,sF60)
| use != sF64
| use != sF57
| use != sF43
| use != sF50
| use != sF49
| use != sF58
| use != sF63
| use != sF46
| use != sF52
| use != sF37
| leq(n0,sK20) ),
inference(subsumption_resolution,[],[f675,f534]) ).
fof(f534,plain,
use = sF61,
inference(definition_folding,[],[f348,f512]) ).
fof(f512,plain,
a_select2(sigma_defuse,n2) = sF61,
introduced(function_definition,[]) ).
fof(f348,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f225]) ).
fof(f675,plain,
( use != sF47
| use != sF61
| use != sF64
| use != sF59
| use != sF52
| use != sF55
| use != sF46
| use != sF51
| use != sF39
| use != sF45
| use != sF40
| use != sF36
| use != sF49
| use != sF38
| leq(n0,sK20)
| use != sF44
| use != sF37
| use != sF50
| use != sF63
| ~ leq(n0,pv5)
| sP2
| use != sF48
| use != sF57
| use != sF58
| ~ leq(pv5,sF60)
| use != sF43
| use != sF56
| use != sF62
| use != sF54 ),
inference(subsumption_resolution,[],[f674,f524]) ).
fof(f524,plain,
use = sF53,
inference(definition_folding,[],[f357,f504]) ).
fof(f504,plain,
a_select2(xinit_noise_defuse,n0) = sF53,
introduced(function_definition,[]) ).
fof(f357,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f225]) ).
fof(f674,plain,
( use != sF53
| use != sF47
| use != sF51
| use != sF59
| use != sF49
| use != sF50
| use != sF64
| use != sF57
| use != sF58
| use != sF62
| ~ leq(pv5,sF60)
| sP2
| use != sF40
| use != sF56
| use != sF36
| leq(n0,sK20)
| use != sF54
| use != sF55
| use != sF43
| use != sF63
| use != sF39
| use != sF52
| use != sF61
| use != sF44
| ~ leq(n0,pv5)
| use != sF46
| use != sF38
| use != sF37
| use != sF48
| use != sF45 ),
inference(subsumption_resolution,[],[f520,f483]) ).
fof(f483,plain,
use = sF41,
inference(definition_folding,[],[f376,f482]) ).
fof(f482,plain,
a_select2(xinit_defuse,n4) = sF41,
introduced(function_definition,[]) ).
fof(f376,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f225]) ).
fof(f520,plain,
( use != sF41
| use != sF37
| use != sF64
| ~ leq(pv5,sF60)
| use != sF39
| use != sF62
| use != sF58
| use != sF47
| use != sF54
| use != sF59
| use != sF53
| use != sF57
| use != sF43
| use != sF46
| leq(n0,sK20)
| use != sF44
| sP2
| use != sF56
| use != sF52
| use != sF36
| use != sF38
| use != sF50
| use != sF40
| use != sF51
| use != sF45
| ~ leq(n0,pv5)
| use != sF61
| use != sF63
| use != sF49
| use != sF48
| use != sF55 ),
inference(definition_folding,[],[f361,f492,f472,f515,f488,f514,f513,f496,f512,f511,f500,f510,f486,f482,f509,f508,f507,f506,f490,f476,f505,f504,f478,f498,f503,f474,f480,f494,f502]) ).
fof(f361,plain,
( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| leq(n0,sK20)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f820,plain,
( ~ leq(n0,sK20)
| sP2
| use = a_select3(u_defuse,sK19,sK20) ),
inference(duplicate_literal_removal,[],[f819]) ).
fof(f819,plain,
( use = a_select3(u_defuse,sK19,sK20)
| sP2
| sP2
| ~ leq(n0,sK20) ),
inference(resolution,[],[f816,f797]) ).
fof(f797,plain,
( leq(sK20,pv5)
| sP2 ),
inference(trivial_inequality_removal,[],[f789]) ).
fof(f789,plain,
( leq(sK20,pv5)
| sP2
| use != use ),
inference(backward_demodulation,[],[f785,f479]) ).
fof(f785,plain,
( leq(sK20,pv5)
| use != sF39
| sP2 ),
inference(subsumption_resolution,[],[f784,f528]) ).
fof(f784,plain,
( sP2
| use != sF39
| use != sF62
| leq(sK20,pv5) ),
inference(subsumption_resolution,[],[f783,f481]) ).
fof(f783,plain,
( use != sF40
| leq(sK20,pv5)
| use != sF62
| sP2
| use != sF39 ),
inference(subsumption_resolution,[],[f782,f473]) ).
fof(f782,plain,
( use != sF36
| sP2
| use != sF40
| leq(sK20,pv5)
| use != sF62
| use != sF39 ),
inference(subsumption_resolution,[],[f781,f495]) ).
fof(f781,plain,
( use != sF47
| use != sF62
| leq(sK20,pv5)
| sP2
| use != sF36
| use != sF40
| use != sF39 ),
inference(subsumption_resolution,[],[f780,f343]) ).
fof(f780,plain,
( ~ leq(n0,pv5)
| use != sF39
| use != sF47
| use != sF62
| use != sF36
| leq(sK20,pv5)
| use != sF40
| sP2 ),
inference(subsumption_resolution,[],[f779,f475]) ).
fof(f779,plain,
( use != sF37
| sP2
| leq(sK20,pv5)
| use != sF62
| use != sF47
| use != sF39
| use != sF36
| use != sF40
| ~ leq(n0,pv5) ),
inference(subsumption_resolution,[],[f778,f538]) ).
fof(f778,plain,
( use != sF55
| use != sF39
| sP2
| use != sF36
| use != sF40
| use != sF47
| use != sF62
| ~ leq(n0,pv5)
| use != sF37
| leq(sK20,pv5) ),
inference(subsumption_resolution,[],[f777,f535]) ).
fof(f777,plain,
( leq(sK20,pv5)
| use != sF63
| sP2
| use != sF62
| ~ leq(n0,pv5)
| use != sF36
| use != sF39
| use != sF55
| use != sF47
| use != sF40
| use != sF37 ),
inference(subsumption_resolution,[],[f776,f501]) ).
fof(f776,plain,
( use != sF50
| use != sF62
| use != sF55
| use != sF63
| use != sF39
| use != sF47
| sP2
| use != sF40
| use != sF36
| ~ leq(n0,pv5)
| use != sF37
| leq(sK20,pv5) ),
inference(subsumption_resolution,[],[f775,f483]) ).
fof(f775,plain,
( use != sF41
| ~ leq(n0,pv5)
| use != sF36
| use != sF39
| use != sF47
| use != sF40
| use != sF50
| sP2
| use != sF62
| use != sF55
| use != sF63
| use != sF37
| leq(sK20,pv5) ),
inference(subsumption_resolution,[],[f774,f530]) ).
fof(f774,plain,
( use != sF64
| use != sF62
| use != sF41
| use != sF36
| leq(sK20,pv5)
| ~ leq(n0,pv5)
| use != sF50
| use != sF63
| use != sF37
| use != sF47
| sP2
| use != sF39
| use != sF55
| use != sF40 ),
inference(subsumption_resolution,[],[f773,f539]) ).
fof(f773,plain,
( use != sF59
| ~ leq(n0,pv5)
| use != sF41
| use != sF63
| use != sF47
| use != sF64
| use != sF50
| use != sF62
| use != sF36
| leq(sK20,pv5)
| use != sF37
| use != sF40
| use != sF39
| sP2
| use != sF55 ),
inference(subsumption_resolution,[],[f772,f489]) ).
fof(f772,plain,
( use != sF44
| use != sF40
| use != sF50
| use != sF64
| sP2
| use != sF36
| ~ leq(n0,pv5)
| use != sF63
| use != sF37
| use != sF39
| use != sF47
| use != sF62
| use != sF59
| leq(sK20,pv5)
| use != sF41
| use != sF55 ),
inference(subsumption_resolution,[],[f771,f487]) ).
fof(f771,plain,
( use != sF43
| leq(sK20,pv5)
| use != sF47
| sP2
| use != sF37
| use != sF39
| use != sF50
| use != sF63
| use != sF55
| use != sF62
| ~ leq(n0,pv5)
| use != sF41
| use != sF44
| use != sF36
| use != sF59
| use != sF40
| use != sF64 ),
inference(subsumption_resolution,[],[f770,f497]) ).
fof(f770,plain,
( use != sF48
| sP2
| use != sF44
| use != sF36
| use != sF43
| use != sF47
| use != sF39
| use != sF59
| use != sF50
| use != sF41
| use != sF37
| use != sF40
| use != sF64
| ~ leq(n0,pv5)
| use != sF55
| use != sF63
| use != sF62
| leq(sK20,pv5) ),
inference(subsumption_resolution,[],[f769,f477]) ).
fof(f769,plain,
( use != sF38
| use != sF41
| use != sF40
| use != sF43
| use != sF39
| use != sF44
| use != sF59
| use != sF47
| use != sF36
| use != sF48
| use != sF50
| ~ leq(n0,pv5)
| use != sF55
| leq(sK20,pv5)
| use != sF63
| use != sF62
| sP2
| use != sF37
| use != sF64 ),
inference(subsumption_resolution,[],[f768,f499]) ).
fof(f768,plain,
( use != sF49
| use != sF38
| use != sF64
| use != sF62
| use != sF36
| use != sF43
| use != sF37
| use != sF59
| use != sF50
| use != sF48
| use != sF63
| use != sF47
| sP2
| use != sF39
| use != sF40
| use != sF44
| leq(sK20,pv5)
| use != sF41
| use != sF55
| ~ leq(n0,pv5) ),
inference(subsumption_resolution,[],[f767,f536]) ).
fof(f767,plain,
( use != sF54
| use != sF55
| use != sF63
| use != sF50
| use != sF48
| use != sF44
| use != sF49
| use != sF43
| use != sF64
| use != sF36
| use != sF41
| use != sF39
| sP2
| use != sF37
| use != sF62
| use != sF47
| leq(sK20,pv5)
| use != sF38
| ~ leq(n0,pv5)
| use != sF59
| use != sF40 ),
inference(subsumption_resolution,[],[f766,f534]) ).
fof(f766,plain,
( use != sF61
| use != sF49
| use != sF63
| use != sF40
| use != sF39
| use != sF62
| use != sF44
| leq(sK20,pv5)
| use != sF43
| sP2
| ~ leq(n0,pv5)
| use != sF50
| use != sF38
| use != sF36
| use != sF59
| use != sF48
| use != sF54
| use != sF55
| use != sF37
| use != sF64
| use != sF47
| use != sF41 ),
inference(subsumption_resolution,[],[f765,f529]) ).
fof(f765,plain,
( ~ leq(pv5,sF60)
| use != sF50
| use != sF54
| use != sF59
| use != sF49
| use != sF41
| use != sF40
| use != sF62
| use != sF55
| sP2
| leq(sK20,pv5)
| use != sF48
| use != sF37
| use != sF39
| use != sF61
| use != sF38
| use != sF63
| use != sF44
| use != sF43
| use != sF64
| use != sF47
| ~ leq(n0,pv5)
| use != sF36 ),
inference(subsumption_resolution,[],[f764,f523]) ).
fof(f764,plain,
( use != sF52
| use != sF62
| use != sF55
| use != sF54
| use != sF44
| use != sF47
| use != sF63
| sP2
| use != sF64
| use != sF49
| use != sF36
| leq(sK20,pv5)
| use != sF38
| use != sF50
| use != sF40
| use != sF37
| use != sF41
| use != sF39
| ~ leq(n0,pv5)
| use != sF59
| use != sF48
| use != sF61
| ~ leq(pv5,sF60)
| use != sF43 ),
inference(subsumption_resolution,[],[f763,f527]) ).
fof(f763,plain,
( use != sF39
| use != sF58
| use != sF48
| use != sF40
| ~ leq(pv5,sF60)
| use != sF49
| use != sF44
| ~ leq(n0,pv5)
| sP2
| use != sF41
| use != sF36
| use != sF38
| use != sF55
| use != sF63
| use != sF47
| use != sF61
| use != sF62
| use != sF54
| use != sF37
| use != sF64
| use != sF43
| use != sF52
| use != sF50
| leq(sK20,pv5)
| use != sF59 ),
inference(subsumption_resolution,[],[f762,f491]) ).
fof(f762,plain,
( use != sF45
| use != sF36
| use != sF61
| use != sF52
| use != sF50
| use != sF43
| use != sF55
| use != sF62
| use != sF48
| use != sF64
| use != sF47
| use != sF41
| sP2
| use != sF59
| use != sF44
| use != sF37
| use != sF58
| use != sF38
| use != sF63
| use != sF54
| use != sF49
| ~ leq(n0,pv5)
| leq(sK20,pv5)
| use != sF40
| ~ leq(pv5,sF60)
| use != sF39 ),
inference(subsumption_resolution,[],[f761,f524]) ).
fof(f761,plain,
( use != sF53
| use != sF45
| use != sF39
| use != sF50
| use != sF47
| leq(sK20,pv5)
| use != sF36
| use != sF52
| use != sF61
| use != sF41
| use != sF64
| use != sF49
| use != sF38
| use != sF59
| use != sF54
| use != sF37
| use != sF62
| sP2
| use != sF63
| ~ leq(n0,pv5)
| use != sF48
| use != sF40
| use != sF43
| use != sF55
| use != sF58
| ~ leq(pv5,sF60)
| use != sF44 ),
inference(subsumption_resolution,[],[f760,f526]) ).
fof(f760,plain,
( use != sF51
| use != sF43
| use != sF53
| sP2
| use != sF59
| use != sF45
| ~ leq(pv5,sF60)
| use != sF47
| use != sF41
| use != sF63
| use != sF39
| use != sF52
| use != sF38
| use != sF62
| leq(sK20,pv5)
| ~ leq(n0,pv5)
| use != sF50
| use != sF48
| use != sF40
| use != sF44
| use != sF37
| use != sF54
| use != sF49
| use != sF58
| use != sF64
| use != sF55
| use != sF36
| use != sF61 ),
inference(subsumption_resolution,[],[f759,f493]) ).
fof(f759,plain,
( use != sF46
| use != sF62
| use != sF38
| use != sF59
| use != sF47
| leq(sK20,pv5)
| use != sF48
| use != sF40
| use != sF43
| use != sF52
| use != sF61
| sP2
| use != sF53
| ~ leq(n0,pv5)
| use != sF51
| use != sF54
| use != sF64
| use != sF39
| ~ leq(pv5,sF60)
| use != sF41
| use != sF45
| use != sF63
| use != sF50
| use != sF36
| use != sF37
| use != sF55
| use != sF44
| use != sF58
| use != sF49 ),
inference(subsumption_resolution,[],[f758,f525]) ).
fof(f758,plain,
( use != sF57
| use != sF59
| use != sF50
| use != sF54
| use != sF49
| use != sF47
| use != sF58
| use != sF43
| ~ leq(pv5,sF60)
| use != sF36
| use != sF62
| use != sF38
| use != sF46
| leq(sK20,pv5)
| use != sF45
| use != sF51
| ~ leq(n0,pv5)
| sP2
| use != sF61
| use != sF37
| use != sF39
| use != sF52
| use != sF44
| use != sF48
| use != sF64
| use != sF55
| use != sF63
| use != sF41
| use != sF40
| use != sF53 ),
inference(subsumption_resolution,[],[f521,f537]) ).
fof(f521,plain,
( sP2
| use != sF56
| use != sF45
| use != sF63
| use != sF59
| use != sF49
| use != sF50
| use != sF44
| use != sF62
| use != sF53
| ~ leq(pv5,sF60)
| use != sF61
| ~ leq(n0,pv5)
| use != sF47
| use != sF36
| use != sF54
| use != sF43
| use != sF51
| use != sF55
| use != sF46
| use != sF57
| leq(sK20,pv5)
| use != sF58
| use != sF64
| use != sF37
| use != sF40
| use != sF52
| use != sF38
| use != sF41
| use != sF39
| use != sF48 ),
inference(definition_folding,[],[f360,f492,f472,f515,f488,f514,f513,f496,f512,f511,f500,f510,f486,f482,f509,f508,f507,f506,f490,f476,f505,f504,f478,f498,f503,f474,f480,f494,f502]) ).
fof(f360,plain,
( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| leq(sK20,pv5)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f816,plain,
! [X1] :
( ~ leq(X1,pv5)
| sP2
| ~ leq(n0,X1)
| use = a_select3(u_defuse,sK19,X1) ),
inference(subsumption_resolution,[],[f815,f798]) ).
fof(f798,plain,
( leq(n0,sK19)
| sP2 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( leq(n0,sK19)
| sP2
| use != use ),
inference(backward_demodulation,[],[f757,f479]) ).
fof(f757,plain,
( sP2
| use != sF39
| leq(n0,sK19) ),
inference(trivial_inequality_removal,[],[f751]) ).
fof(f751,plain,
( use != use
| sP2
| leq(n0,sK19)
| use != sF39 ),
inference(backward_demodulation,[],[f747,f537]) ).
fof(f747,plain,
( use != sF39
| sP2
| leq(n0,sK19)
| use != sF56 ),
inference(trivial_inequality_removal,[],[f741]) ).
fof(f741,plain,
( sP2
| use != sF39
| use != sF56
| use != use
| leq(n0,sK19) ),
inference(backward_demodulation,[],[f738,f528]) ).
fof(f738,plain,
( use != sF56
| sP2
| use != sF62
| use != sF39
| leq(n0,sK19) ),
inference(subsumption_resolution,[],[f733,f343]) ).
fof(f733,plain,
( use != sF62
| ~ leq(n0,pv5)
| use != sF56
| leq(n0,sK19)
| sP2
| use != sF39 ),
inference(trivial_inequality_removal,[],[f728]) ).
fof(f728,plain,
( leq(n0,sK19)
| use != use
| use != sF62
| use != sF39
| ~ leq(n0,pv5)
| sP2
| use != sF56 ),
inference(backward_demodulation,[],[f722,f497]) ).
fof(f722,plain,
( use != sF48
| ~ leq(n0,pv5)
| sP2
| use != sF56
| leq(n0,sK19)
| use != sF62
| use != sF39 ),
inference(trivial_inequality_removal,[],[f716]) ).
fof(f716,plain,
( ~ leq(n0,pv5)
| use != sF56
| leq(n0,sK19)
| use != sF39
| use != use
| sP2
| use != sF48
| use != sF62 ),
inference(backward_demodulation,[],[f712,f495]) ).
fof(f712,plain,
( ~ leq(n0,pv5)
| use != sF39
| use != sF48
| use != sF47
| use != sF56
| leq(n0,sK19)
| sP2
| use != sF62 ),
inference(trivial_inequality_removal,[],[f707]) ).
fof(f707,plain,
( sP2
| use != sF48
| use != sF62
| leq(n0,sK19)
| use != sF56
| use != use
| ~ leq(n0,pv5)
| use != sF39
| use != sF47 ),
inference(backward_demodulation,[],[f700,f477]) ).
fof(f700,plain,
( use != sF38
| use != sF62
| sP2
| use != sF47
| use != sF39
| leq(n0,sK19)
| use != sF56
| use != sF48
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f697]) ).
fof(f697,plain,
( use != sF48
| ~ leq(n0,pv5)
| use != use
| use != sF39
| use != sF62
| use != sF47
| use != sF38
| leq(n0,sK19)
| use != sF56
| sP2 ),
inference(backward_demodulation,[],[f671,f525]) ).
fof(f671,plain,
( sP2
| leq(n0,sK19)
| use != sF62
| use != sF38
| use != sF39
| use != sF57
| use != sF47
| ~ leq(n0,pv5)
| use != sF48
| use != sF56 ),
inference(trivial_inequality_removal,[],[f666]) ).
fof(f666,plain,
( use != use
| use != sF47
| ~ leq(n0,pv5)
| use != sF57
| sP2
| leq(n0,sK19)
| use != sF38
| use != sF39
| use != sF62
| use != sF56
| use != sF48 ),
inference(backward_demodulation,[],[f663,f475]) ).
fof(f663,plain,
( ~ leq(n0,pv5)
| use != sF39
| sP2
| use != sF57
| use != sF62
| use != sF38
| use != sF47
| leq(n0,sK19)
| use != sF48
| use != sF56
| use != sF37 ),
inference(trivial_inequality_removal,[],[f660]) ).
fof(f660,plain,
( use != use
| use != sF38
| use != sF37
| use != sF39
| leq(n0,sK19)
| use != sF47
| use != sF48
| use != sF56
| ~ leq(n0,pv5)
| use != sF57
| sP2
| use != sF62 ),
inference(backward_demodulation,[],[f657,f487]) ).
fof(f657,plain,
( use != sF43
| use != sF57
| ~ leq(n0,pv5)
| use != sF48
| use != sF39
| use != sF56
| use != sF38
| leq(n0,sK19)
| use != sF37
| use != sF62
| sP2
| use != sF47 ),
inference(trivial_inequality_removal,[],[f654]) ).
fof(f654,plain,
( sP2
| use != sF47
| use != sF48
| use != sF62
| leq(n0,sK19)
| use != sF38
| ~ leq(n0,pv5)
| use != sF43
| use != sF57
| use != use
| use != sF37
| use != sF39
| use != sF56 ),
inference(backward_demodulation,[],[f647,f523]) ).
fof(f647,plain,
( leq(n0,sK19)
| ~ leq(n0,pv5)
| use != sF43
| use != sF48
| use != sF52
| use != sF37
| sP2
| use != sF39
| use != sF47
| use != sF62
| use != sF56
| use != sF57
| use != sF38 ),
inference(trivial_inequality_removal,[],[f642]) ).
fof(f642,plain,
( ~ leq(n0,pv5)
| use != sF47
| use != sF48
| use != sF37
| use != use
| use != sF62
| use != sF52
| use != sF38
| use != sF39
| use != sF57
| sP2
| use != sF43
| leq(n0,sK19)
| use != sF56 ),
inference(backward_demodulation,[],[f639,f501]) ).
fof(f639,plain,
( use != sF38
| use != sF50
| use != sF39
| use != sF43
| use != sF62
| use != sF52
| sP2
| use != sF57
| use != sF47
| use != sF48
| use != sF56
| leq(n0,sK19)
| ~ leq(n0,pv5)
| use != sF37 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( leq(n0,sK19)
| use != sF39
| use != sF50
| use != sF62
| use != sF48
| use != sF37
| use != sF56
| use != use
| use != sF38
| use != sF52
| use != sF43
| use != sF47
| ~ leq(n0,pv5)
| use != sF57
| sP2 ),
inference(backward_demodulation,[],[f628,f527]) ).
fof(f628,plain,
( use != sF57
| use != sF39
| use != sF37
| use != sF58
| use != sF56
| use != sF52
| use != sF47
| use != sF38
| use != sF43
| ~ leq(n0,pv5)
| use != sF48
| sP2
| use != sF50
| use != sF62
| leq(n0,sK19) ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( use != sF52
| sP2
| use != use
| use != sF57
| use != sF48
| leq(n0,sK19)
| use != sF39
| use != sF58
| use != sF38
| ~ leq(n0,pv5)
| use != sF37
| use != sF50
| use != sF56
| use != sF62
| use != sF47
| use != sF43 ),
inference(backward_demodulation,[],[f621,f530]) ).
fof(f621,plain,
( use != sF62
| use != sF50
| ~ leq(n0,pv5)
| use != sF39
| use != sF64
| use != sF38
| use != sF58
| use != sF57
| leq(n0,sK19)
| use != sF56
| use != sF37
| use != sF47
| sP2
| use != sF43
| use != sF48
| use != sF52 ),
inference(trivial_inequality_removal,[],[f615]) ).
fof(f615,plain,
( use != sF57
| use != sF39
| leq(n0,sK19)
| use != sF52
| ~ leq(n0,pv5)
| use != sF62
| use != sF47
| use != sF43
| use != sF50
| sP2
| use != sF48
| use != use
| use != sF58
| use != sF64
| use != sF56
| use != sF38
| use != sF37 ),
inference(backward_demodulation,[],[f611,f499]) ).
fof(f611,plain,
( ~ leq(n0,pv5)
| use != sF62
| use != sF50
| use != sF52
| use != sF43
| sP2
| use != sF38
| use != sF48
| use != sF37
| use != sF47
| use != sF58
| use != sF57
| use != sF56
| use != sF64
| use != sF49
| use != sF39
| leq(n0,sK19) ),
inference(trivial_inequality_removal,[],[f608]) ).
fof(f608,plain,
( use != sF39
| ~ leq(n0,pv5)
| use != sF57
| use != sF38
| sP2
| use != sF49
| use != sF47
| use != sF48
| use != sF58
| use != sF52
| use != sF56
| use != use
| use != sF50
| use != sF43
| use != sF37
| leq(n0,sK19)
| use != sF64
| use != sF62 ),
inference(backward_demodulation,[],[f605,f524]) ).
fof(f605,plain,
( sP2
| use != sF48
| use != sF58
| use != sF52
| use != sF56
| ~ leq(n0,pv5)
| use != sF43
| leq(n0,sK19)
| use != sF64
| use != sF49
| use != sF39
| use != sF50
| use != sF47
| use != sF53
| use != sF38
| use != sF57
| use != sF62
| use != sF37 ),
inference(trivial_inequality_removal,[],[f602]) ).
fof(f602,plain,
( use != sF58
| use != sF39
| use != sF52
| use != sF47
| use != sF57
| use != use
| use != sF53
| use != sF64
| ~ leq(n0,pv5)
| use != sF50
| use != sF43
| use != sF49
| leq(n0,sK19)
| use != sF56
| use != sF38
| use != sF62
| use != sF48
| sP2
| use != sF37 ),
inference(backward_demodulation,[],[f599,f483]) ).
fof(f599,plain,
( use != sF43
| use != sF37
| use != sF38
| leq(n0,sK19)
| use != sF64
| sP2
| use != sF50
| use != sF41
| use != sF49
| use != sF56
| use != sF57
| use != sF62
| use != sF52
| use != sF47
| use != sF39
| ~ leq(n0,pv5)
| use != sF48
| use != sF53
| use != sF58 ),
inference(trivial_inequality_removal,[],[f597]) ).
fof(f597,plain,
( use != sF56
| use != sF62
| use != sF57
| use != sF38
| use != sF52
| use != sF41
| leq(n0,sK19)
| use != sF39
| use != sF58
| use != sF53
| ~ leq(n0,pv5)
| use != sF64
| sP2
| use != sF49
| use != sF47
| use != sF37
| use != sF43
| use != use
| use != sF50
| use != sF48 ),
inference(backward_demodulation,[],[f594,f481]) ).
fof(f594,plain,
( use != sF56
| leq(n0,sK19)
| use != sF40
| use != sF49
| use != sF57
| use != sF37
| ~ leq(n0,pv5)
| use != sF53
| use != sF62
| use != sF58
| use != sF38
| use != sF48
| use != sF43
| sP2
| use != sF64
| use != sF39
| use != sF52
| use != sF47
| use != sF41
| use != sF50 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f591,plain,
( use != sF37
| use != sF49
| use != sF38
| use != sF50
| use != sF57
| use != sF53
| use != sF56
| use != sF40
| use != sF43
| use != sF41
| use != sF52
| use != sF58
| use != use
| use != sF64
| use != sF62
| use != sF39
| use != sF48
| ~ leq(n0,pv5)
| use != sF47
| sP2
| leq(n0,sK19) ),
inference(backward_demodulation,[],[f588,f535]) ).
fof(f588,plain,
( use != sF57
| use != sF43
| use != sF58
| use != sF37
| use != sF49
| use != sF48
| leq(n0,sK19)
| use != sF62
| use != sF56
| sP2
| use != sF50
| use != sF40
| use != sF52
| use != sF47
| use != sF39
| ~ leq(n0,pv5)
| use != sF38
| use != sF64
| use != sF41
| use != sF53
| use != sF63 ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f582,plain,
( use != sF53
| use != sF63
| use != sF58
| use != sF64
| use != sF43
| use != sF38
| use != sF41
| use != sF56
| sP2
| use != sF62
| use != sF52
| use != sF49
| leq(n0,sK19)
| use != sF57
| use != sF47
| use != use
| use != sF40
| use != sF37
| use != sF48
| use != sF50
| ~ leq(n0,pv5)
| use != sF39 ),
inference(backward_demodulation,[],[f581,f538]) ).
fof(f581,plain,
( use != sF38
| leq(n0,sK19)
| sP2
| use != sF37
| use != sF47
| use != sF58
| ~ leq(n0,pv5)
| use != sF43
| use != sF41
| use != sF56
| use != sF57
| use != sF62
| use != sF53
| use != sF52
| use != sF64
| use != sF40
| use != sF49
| use != sF39
| use != sF50
| use != sF63
| use != sF55
| use != sF48 ),
inference(subsumption_resolution,[],[f577,f529]) ).
fof(f577,plain,
( use != sF37
| use != sF40
| ~ leq(n0,pv5)
| sP2
| use != sF39
| use != sF49
| use != sF58
| leq(n0,sK19)
| use != sF62
| use != sF52
| use != sF63
| use != sF38
| use != sF47
| use != sF41
| use != sF56
| ~ leq(pv5,sF60)
| use != sF43
| use != sF48
| use != sF50
| use != sF53
| use != sF55
| use != sF64
| use != sF57 ),
inference(trivial_inequality_removal,[],[f575]) ).
fof(f575,plain,
( use != sF58
| use != sF49
| use != sF53
| use != sF64
| leq(n0,sK19)
| use != sF41
| use != sF63
| use != sF37
| use != use
| use != sF48
| use != sF47
| ~ leq(n0,pv5)
| ~ leq(pv5,sF60)
| sP2
| use != sF39
| use != sF52
| use != sF43
| use != sF55
| use != sF57
| use != sF62
| use != sF56
| use != sF50
| use != sF40
| use != sF38 ),
inference(backward_demodulation,[],[f563,f536]) ).
fof(f563,plain,
( sP2
| leq(n0,sK19)
| use != sF40
| use != sF37
| use != sF47
| use != sF52
| use != sF43
| use != sF55
| use != sF64
| use != sF41
| use != sF39
| use != sF54
| use != sF48
| use != sF63
| ~ leq(pv5,sF60)
| use != sF50
| use != sF62
| use != sF56
| use != sF57
| use != sF49
| use != sF38
| use != sF58
| use != sF53
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f560,plain,
( use != sF57
| use != sF50
| use != sF55
| ~ leq(pv5,sF60)
| use != sF56
| use != sF39
| use != sF58
| use != sF49
| use != sF48
| use != sF40
| use != sF47
| use != sF64
| use != sF63
| use != sF52
| use != sF62
| use != use
| sP2
| use != sF54
| use != sF37
| use != sF43
| use != sF38
| leq(n0,sK19)
| use != sF53
| ~ leq(n0,pv5)
| use != sF41 ),
inference(backward_demodulation,[],[f555,f473]) ).
fof(f555,plain,
( use != sF39
| sP2
| use != sF41
| use != sF47
| use != sF48
| use != sF43
| use != sF56
| use != sF63
| use != sF62
| use != sF55
| use != sF50
| use != sF49
| use != sF64
| use != sF57
| leq(n0,sK19)
| ~ leq(pv5,sF60)
| use != sF37
| use != sF58
| use != sF52
| use != sF38
| ~ leq(n0,pv5)
| use != sF40
| use != sF54
| use != sF53
| use != sF36 ),
inference(subsumption_resolution,[],[f554,f534]) ).
fof(f554,plain,
( use != sF48
| use != sF36
| leq(n0,sK19)
| use != sF53
| ~ leq(n0,pv5)
| use != sF62
| use != sF38
| use != sF57
| use != sF64
| use != sF40
| use != sF56
| use != sF63
| use != sF55
| sP2
| use != sF41
| ~ leq(pv5,sF60)
| use != sF39
| use != sF54
| use != sF47
| use != sF49
| use != sF52
| use != sF58
| use != sF50
| use != sF61
| use != sF37
| use != sF43 ),
inference(subsumption_resolution,[],[f553,f489]) ).
fof(f553,plain,
( use != sF47
| use != sF57
| use != sF48
| use != sF63
| use != sF43
| ~ leq(n0,pv5)
| use != sF36
| use != sF40
| use != sF39
| use != sF56
| use != sF49
| use != sF55
| leq(n0,sK19)
| sP2
| ~ leq(pv5,sF60)
| use != sF50
| use != sF38
| use != sF52
| use != sF44
| use != sF37
| use != sF64
| use != sF58
| use != sF41
| use != sF54
| use != sF53
| use != sF62
| use != sF61 ),
inference(subsumption_resolution,[],[f552,f491]) ).
fof(f552,plain,
( use != sF48
| use != sF45
| use != sF36
| use != sF44
| use != sF54
| use != sF39
| use != sF64
| use != sF38
| ~ leq(pv5,sF60)
| use != sF58
| use != sF41
| use != sF56
| use != sF63
| use != sF47
| use != sF52
| leq(n0,sK19)
| use != sF43
| use != sF57
| sP2
| use != sF49
| use != sF50
| use != sF37
| use != sF62
| ~ leq(n0,pv5)
| use != sF53
| use != sF55
| use != sF40
| use != sF61 ),
inference(subsumption_resolution,[],[f551,f539]) ).
fof(f551,plain,
( use != sF59
| use != sF44
| use != sF48
| use != sF38
| leq(n0,sK19)
| use != sF54
| use != sF61
| ~ leq(pv5,sF60)
| use != sF63
| use != sF52
| use != sF49
| use != sF39
| use != sF47
| use != sF57
| use != sF37
| use != sF50
| use != sF56
| use != sF36
| use != sF58
| use != sF53
| use != sF41
| use != sF55
| use != sF64
| use != sF62
| use != sF45
| sP2
| ~ leq(n0,pv5)
| use != sF40
| use != sF43 ),
inference(subsumption_resolution,[],[f550,f493]) ).
fof(f550,plain,
( use != sF46
| leq(n0,sK19)
| ~ leq(pv5,sF60)
| use != sF36
| ~ leq(n0,pv5)
| use != sF47
| use != sF55
| use != sF49
| use != sF53
| use != sF37
| use != sF59
| use != sF58
| use != sF52
| use != sF57
| sP2
| use != sF45
| use != sF41
| use != sF56
| use != sF62
| use != sF61
| use != sF50
| use != sF38
| use != sF63
| use != sF43
| use != sF64
| use != sF39
| use != sF48
| use != sF40
| use != sF44
| use != sF54 ),
inference(subsumption_resolution,[],[f522,f526]) ).
fof(f522,plain,
( use != sF51
| ~ leq(n0,pv5)
| ~ leq(pv5,sF60)
| use != sF45
| leq(n0,sK19)
| use != sF46
| use != sF47
| use != sF44
| use != sF53
| use != sF39
| use != sF37
| use != sF36
| use != sF43
| use != sF63
| use != sF57
| use != sF61
| use != sF41
| use != sF56
| use != sF55
| use != sF54
| use != sF58
| sP2
| use != sF64
| use != sF50
| use != sF62
| use != sF48
| use != sF49
| use != sF38
| use != sF40
| use != sF59
| use != sF52 ),
inference(definition_folding,[],[f359,f492,f472,f515,f488,f514,f513,f496,f512,f511,f500,f510,f486,f482,f509,f508,f507,f506,f490,f476,f505,f504,f478,f498,f503,f474,f480,f494,f502]) ).
fof(f359,plain,
( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| leq(n0,sK19)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f815,plain,
! [X1] :
( use = a_select3(u_defuse,sK19,X1)
| ~ leq(X1,pv5)
| ~ leq(n0,sK19)
| sP2
| ~ leq(n0,X1) ),
inference(resolution,[],[f372,f795]) ).
fof(f795,plain,
( leq(sK19,n2)
| sP2 ),
inference(trivial_inequality_removal,[],[f792]) ).
fof(f792,plain,
( use != use
| sP2
| leq(sK19,n2) ),
inference(backward_demodulation,[],[f756,f479]) ).
fof(f756,plain,
( sP2
| leq(sK19,n2)
| use != sF39 ),
inference(trivial_inequality_removal,[],[f749]) ).
fof(f749,plain,
( leq(sK19,n2)
| use != sF39
| use != use
| sP2 ),
inference(backward_demodulation,[],[f745,f537]) ).
fof(f745,plain,
( leq(sK19,n2)
| sP2
| use != sF39
| use != sF56 ),
inference(trivial_inequality_removal,[],[f743]) ).
fof(f743,plain,
( sP2
| leq(sK19,n2)
| use != sF56
| use != sF39
| use != use ),
inference(backward_demodulation,[],[f736,f528]) ).
fof(f736,plain,
( leq(sK19,n2)
| sP2
| use != sF39
| use != sF56
| use != sF62 ),
inference(subsumption_resolution,[],[f735,f343]) ).
fof(f735,plain,
( use != sF56
| use != sF39
| leq(sK19,n2)
| sP2
| ~ leq(n0,pv5)
| use != sF62 ),
inference(trivial_inequality_removal,[],[f727]) ).
fof(f727,plain,
( use != sF56
| use != use
| ~ leq(n0,pv5)
| leq(sK19,n2)
| use != sF39
| sP2
| use != sF62 ),
inference(backward_demodulation,[],[f721,f497]) ).
fof(f721,plain,
( ~ leq(n0,pv5)
| use != sF48
| use != sF56
| sP2
| leq(sK19,n2)
| use != sF62
| use != sF39 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( use != use
| use != sF39
| leq(sK19,n2)
| use != sF56
| sP2
| use != sF48
| ~ leq(n0,pv5)
| use != sF62 ),
inference(backward_demodulation,[],[f715,f495]) ).
fof(f715,plain,
( leq(sK19,n2)
| use != sF39
| ~ leq(n0,pv5)
| use != sF62
| use != sF47
| sP2
| use != sF56
| use != sF48 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( ~ leq(n0,pv5)
| use != sF48
| use != sF39
| use != sF62
| use != use
| use != sF47
| use != sF56
| leq(sK19,n2)
| sP2 ),
inference(backward_demodulation,[],[f702,f477]) ).
fof(f702,plain,
( sP2
| use != sF39
| use != sF48
| leq(sK19,n2)
| ~ leq(n0,pv5)
| use != sF62
| use != sF47
| use != sF38
| use != sF56 ),
inference(trivial_inequality_removal,[],[f696]) ).
fof(f696,plain,
( leq(sK19,n2)
| use != sF39
| use != sF38
| use != sF48
| use != sF47
| sP2
| ~ leq(n0,pv5)
| use != sF56
| use != use
| use != sF62 ),
inference(backward_demodulation,[],[f670,f525]) ).
fof(f670,plain,
( use != sF62
| ~ leq(n0,pv5)
| use != sF48
| use != sF57
| sP2
| use != sF38
| use != sF56
| leq(sK19,n2)
| use != sF39
| use != sF47 ),
inference(trivial_inequality_removal,[],[f668]) ).
fof(f668,plain,
( use != sF57
| sP2
| ~ leq(n0,pv5)
| use != sF38
| use != sF56
| use != use
| leq(sK19,n2)
| use != sF47
| use != sF39
| use != sF62
| use != sF48 ),
inference(backward_demodulation,[],[f665,f475]) ).
fof(f665,plain,
( use != sF56
| use != sF39
| use != sF48
| use != sF47
| use != sF57
| use != sF37
| leq(sK19,n2)
| use != sF62
| ~ leq(n0,pv5)
| sP2
| use != sF38 ),
inference(trivial_inequality_removal,[],[f661]) ).
fof(f661,plain,
( use != sF57
| sP2
| use != sF48
| use != sF62
| use != sF47
| use != sF56
| ~ leq(n0,pv5)
| leq(sK19,n2)
| use != sF39
| use != sF38
| use != use
| use != sF37 ),
inference(backward_demodulation,[],[f658,f487]) ).
fof(f658,plain,
( leq(sK19,n2)
| use != sF62
| use != sF38
| use != sF56
| use != sF57
| use != sF39
| use != sF37
| sP2
| use != sF43
| use != sF48
| use != sF47
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( use != use
| use != sF37
| use != sF38
| leq(sK19,n2)
| sP2
| use != sF57
| use != sF47
| use != sF48
| ~ leq(n0,pv5)
| use != sF43
| use != sF39
| use != sF62
| use != sF56 ),
inference(backward_demodulation,[],[f646,f523]) ).
fof(f646,plain,
( use != sF37
| sP2
| use != sF47
| use != sF52
| use != sF62
| ~ leq(n0,pv5)
| use != sF56
| use != sF48
| leq(sK19,n2)
| use != sF38
| use != sF39
| use != sF57
| use != sF43 ),
inference(trivial_inequality_removal,[],[f643]) ).
fof(f643,plain,
( use != use
| use != sF52
| use != sF39
| use != sF62
| use != sF48
| use != sF47
| use != sF38
| leq(sK19,n2)
| use != sF43
| use != sF56
| sP2
| use != sF37
| ~ leq(n0,pv5)
| use != sF57 ),
inference(backward_demodulation,[],[f640,f501]) ).
fof(f640,plain,
( use != sF48
| use != sF57
| use != sF52
| use != sF47
| ~ leq(n0,pv5)
| sP2
| use != sF50
| use != sF39
| use != sF56
| use != sF37
| use != sF43
| use != sF62
| use != sF38
| leq(sK19,n2) ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f635,plain,
( use != sF52
| use != sF56
| use != sF48
| leq(sK19,n2)
| use != sF47
| use != sF37
| ~ leq(n0,pv5)
| use != sF62
| use != sF57
| sP2
| use != sF38
| use != sF39
| use != sF43
| use != use
| use != sF50 ),
inference(backward_demodulation,[],[f627,f527]) ).
fof(f627,plain,
( use != sF58
| use != sF62
| use != sF43
| use != sF48
| use != sF57
| ~ leq(n0,pv5)
| use != sF38
| use != sF47
| use != sF50
| use != sF39
| use != sF52
| leq(sK19,n2)
| sP2
| use != sF56
| use != sF37 ),
inference(trivial_inequality_removal,[],[f622]) ).
fof(f622,plain,
( use != sF50
| use != sF39
| use != sF57
| use != sF47
| use != sF38
| use != sF43
| use != sF58
| use != sF56
| use != sF52
| use != sF37
| use != sF48
| sP2
| leq(sK19,n2)
| ~ leq(n0,pv5)
| use != sF62
| use != use ),
inference(backward_demodulation,[],[f619,f530]) ).
fof(f619,plain,
( use != sF48
| use != sF39
| use != sF62
| use != sF57
| use != sF38
| use != sF58
| use != sF37
| use != sF52
| use != sF47
| use != sF43
| use != sF56
| use != sF50
| use != sF64
| sP2
| ~ leq(n0,pv5)
| leq(sK19,n2) ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( use != use
| use != sF50
| use != sF62
| use != sF58
| use != sF56
| use != sF57
| use != sF38
| leq(sK19,n2)
| use != sF37
| use != sF48
| use != sF39
| use != sF47
| use != sF64
| sP2
| ~ leq(n0,pv5)
| use != sF52
| use != sF43 ),
inference(backward_demodulation,[],[f613,f499]) ).
fof(f613,plain,
( ~ leq(n0,pv5)
| use != sF48
| use != sF64
| use != sF38
| use != sF47
| use != sF50
| use != sF52
| use != sF56
| leq(sK19,n2)
| use != sF43
| sP2
| use != sF62
| use != sF37
| use != sF39
| use != sF57
| use != sF49
| use != sF58 ),
inference(trivial_inequality_removal,[],[f609]) ).
fof(f609,plain,
( use != sF43
| sP2
| use != sF64
| use != sF49
| use != sF56
| use != sF50
| use != sF38
| use != sF62
| use != sF47
| use != sF52
| use != sF37
| use != use
| ~ leq(n0,pv5)
| use != sF57
| use != sF58
| use != sF48
| leq(sK19,n2)
| use != sF39 ),
inference(backward_demodulation,[],[f606,f524]) ).
fof(f606,plain,
( use != sF64
| use != sF56
| use != sF52
| use != sF58
| use != sF38
| use != sF39
| use != sF48
| use != sF62
| use != sF37
| use != sF50
| use != sF57
| sP2
| use != sF43
| use != sF47
| use != sF53
| use != sF49
| ~ leq(n0,pv5)
| leq(sK19,n2) ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( use != sF47
| use != sF38
| use != sF53
| use != sF48
| sP2
| use != sF56
| use != use
| use != sF43
| use != sF49
| leq(sK19,n2)
| use != sF39
| use != sF57
| use != sF52
| use != sF50
| use != sF37
| ~ leq(n0,pv5)
| use != sF64
| use != sF62
| use != sF58 ),
inference(backward_demodulation,[],[f600,f483]) ).
fof(f600,plain,
( use != sF52
| sP2
| leq(sK19,n2)
| use != sF64
| use != sF53
| use != sF50
| use != sF43
| use != sF57
| use != sF39
| use != sF62
| use != sF58
| use != sF56
| use != sF41
| use != sF48
| use != sF38
| ~ leq(n0,pv5)
| use != sF37
| use != sF47
| use != sF49 ),
inference(trivial_inequality_removal,[],[f596]) ).
fof(f596,plain,
( use != sF64
| use != sF48
| use != use
| use != sF62
| use != sF49
| leq(sK19,n2)
| use != sF52
| use != sF39
| sP2
| use != sF58
| use != sF57
| use != sF53
| use != sF37
| use != sF50
| use != sF41
| use != sF47
| ~ leq(n0,pv5)
| use != sF43
| use != sF38
| use != sF56 ),
inference(backward_demodulation,[],[f593,f481]) ).
fof(f593,plain,
( use != sF37
| use != sF47
| use != sF40
| use != sF62
| use != sF49
| use != sF57
| use != sF41
| leq(sK19,n2)
| use != sF48
| use != sF50
| use != sF64
| use != sF43
| use != sF58
| use != sF38
| use != sF52
| ~ leq(n0,pv5)
| use != sF53
| use != sF39
| use != sF56
| sP2 ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f589,plain,
( use != sF53
| leq(sK19,n2)
| ~ leq(n0,pv5)
| use != sF37
| use != sF40
| use != sF58
| use != sF52
| use != use
| sP2
| use != sF50
| use != sF62
| use != sF41
| use != sF56
| use != sF48
| use != sF39
| use != sF64
| use != sF43
| use != sF38
| use != sF57
| use != sF47
| use != sF49 ),
inference(backward_demodulation,[],[f586,f535]) ).
fof(f586,plain,
( ~ leq(n0,pv5)
| use != sF49
| use != sF43
| use != sF40
| use != sF52
| use != sF57
| use != sF39
| use != sF62
| use != sF41
| use != sF50
| use != sF48
| use != sF47
| sP2
| use != sF38
| leq(sK19,n2)
| use != sF56
| use != sF37
| use != sF63
| use != sF53
| use != sF64
| use != sF58 ),
inference(trivial_inequality_removal,[],[f583]) ).
fof(f583,plain,
( use != sF63
| use != sF49
| use != sF53
| use != sF48
| leq(sK19,n2)
| use != sF57
| use != use
| use != sF50
| use != sF52
| use != sF58
| use != sF40
| use != sF38
| use != sF64
| use != sF37
| use != sF41
| ~ leq(n0,pv5)
| use != sF39
| use != sF56
| use != sF47
| use != sF62
| use != sF43
| sP2 ),
inference(backward_demodulation,[],[f580,f538]) ).
fof(f580,plain,
( sP2
| use != sF48
| leq(sK19,n2)
| use != sF50
| use != sF56
| use != sF41
| use != sF64
| use != sF52
| use != sF55
| use != sF49
| use != sF38
| use != sF37
| use != sF39
| use != sF43
| use != sF53
| ~ leq(n0,pv5)
| use != sF63
| use != sF58
| use != sF57
| use != sF47
| use != sF40
| use != sF62 ),
inference(subsumption_resolution,[],[f578,f529]) ).
fof(f578,plain,
( use != sF49
| use != sF38
| use != sF50
| use != sF47
| use != sF62
| use != sF40
| use != sF37
| ~ leq(n0,pv5)
| ~ leq(pv5,sF60)
| use != sF48
| use != sF56
| use != sF43
| use != sF55
| use != sF41
| use != sF53
| use != sF63
| leq(sK19,n2)
| use != sF57
| use != sF64
| use != sF58
| use != sF39
| sP2
| use != sF52 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f574,plain,
( use != sF39
| use != sF52
| use != sF56
| use != use
| use != sF63
| use != sF53
| use != sF58
| use != sF49
| use != sF43
| use != sF40
| use != sF37
| use != sF38
| ~ leq(pv5,sF60)
| use != sF62
| use != sF50
| use != sF48
| use != sF64
| leq(sK19,n2)
| use != sF55
| use != sF41
| use != sF47
| use != sF57
| ~ leq(n0,pv5)
| sP2 ),
inference(backward_demodulation,[],[f562,f536]) ).
fof(f562,plain,
( use != sF55
| use != sF53
| ~ leq(pv5,sF60)
| use != sF48
| use != sF37
| use != sF58
| use != sF64
| use != sF38
| use != sF50
| use != sF62
| leq(sK19,n2)
| use != sF63
| use != sF49
| use != sF43
| use != sF52
| use != sF47
| use != sF57
| use != sF41
| use != sF39
| use != sF40
| sP2
| use != sF54
| use != sF56
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f561,plain,
( ~ leq(pv5,sF60)
| use != sF58
| use != sF43
| use != use
| use != sF40
| leq(sK19,n2)
| ~ leq(n0,pv5)
| sP2
| use != sF52
| use != sF57
| use != sF53
| use != sF38
| use != sF54
| use != sF62
| use != sF50
| use != sF39
| use != sF41
| use != sF49
| use != sF64
| use != sF37
| use != sF56
| use != sF47
| use != sF55
| use != sF48
| use != sF63 ),
inference(backward_demodulation,[],[f549,f473]) ).
fof(f549,plain,
( use != sF40
| use != sF54
| use != sF47
| use != sF58
| use != sF41
| ~ leq(pv5,sF60)
| use != sF56
| use != sF57
| use != sF49
| use != sF52
| use != sF55
| use != sF39
| use != sF37
| ~ leq(n0,pv5)
| use != sF63
| use != sF43
| leq(sK19,n2)
| use != sF36
| use != sF53
| use != sF64
| use != sF50
| use != sF62
| use != sF48
| use != sF38
| sP2 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f548,plain,
( use != sF40
| use != sF41
| use != sF37
| use != sF43
| use != sF56
| use != sF52
| use != sF49
| use != sF64
| use != sF63
| leq(sK19,n2)
| use != sF50
| use != sF58
| use != sF48
| sP2
| use != use
| use != sF39
| use != sF55
| ~ leq(pv5,sF60)
| use != sF38
| use != sF57
| use != sF47
| use != sF53
| ~ leq(n0,pv5)
| use != sF62
| use != sF36
| use != sF54 ),
inference(backward_demodulation,[],[f546,f491]) ).
fof(f546,plain,
( ~ leq(n0,pv5)
| ~ leq(pv5,sF60)
| leq(sK19,n2)
| use != sF36
| use != sF45
| use != sF52
| use != sF37
| use != sF39
| use != sF56
| sP2
| use != sF64
| use != sF54
| use != sF57
| use != sF55
| use != sF49
| use != sF40
| use != sF47
| use != sF53
| use != sF50
| use != sF63
| use != sF43
| use != sF41
| use != sF62
| use != sF58
| use != sF38
| use != sF48 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f545,plain,
( use != sF64
| leq(sK19,n2)
| use != sF49
| use != sF63
| use != sF55
| use != sF48
| use != sF45
| use != sF56
| use != sF53
| use != sF62
| use != sF37
| use != sF36
| use != use
| use != sF58
| use != sF41
| use != sF47
| use != sF52
| ~ leq(pv5,sF60)
| ~ leq(n0,pv5)
| use != sF39
| sP2
| use != sF54
| use != sF57
| use != sF40
| use != sF50
| use != sF38
| use != sF43 ),
inference(backward_demodulation,[],[f544,f539]) ).
fof(f544,plain,
( use != sF56
| use != sF59
| ~ leq(pv5,sF60)
| leq(sK19,n2)
| use != sF63
| use != sF47
| use != sF43
| use != sF40
| use != sF58
| use != sF52
| use != sF55
| use != sF57
| use != sF37
| use != sF62
| use != sF39
| sP2
| use != sF50
| use != sF38
| use != sF53
| use != sF48
| use != sF49
| ~ leq(n0,pv5)
| use != sF64
| use != sF36
| use != sF45
| use != sF41
| use != sF54 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f543,plain,
( use != sF64
| use != sF63
| use != sF45
| use != sF48
| use != sF58
| use != sF49
| use != use
| use != sF39
| use != sF57
| sP2
| ~ leq(pv5,sF60)
| use != sF40
| use != sF47
| use != sF54
| use != sF50
| use != sF55
| use != sF52
| use != sF38
| use != sF62
| use != sF53
| ~ leq(n0,pv5)
| leq(sK19,n2)
| use != sF41
| use != sF56
| use != sF59
| use != sF37
| use != sF43
| use != sF36 ),
inference(backward_demodulation,[],[f542,f489]) ).
fof(f542,plain,
( use != sF49
| use != sF36
| use != sF52
| use != sF41
| use != sF63
| use != sF55
| use != sF50
| ~ leq(pv5,sF60)
| use != sF64
| use != sF57
| use != sF39
| use != sF40
| use != sF56
| use != sF62
| use != sF43
| use != sF54
| use != sF59
| use != sF44
| use != sF53
| use != sF45
| ~ leq(n0,pv5)
| leq(sK19,n2)
| use != sF37
| use != sF58
| sP2
| use != sF38
| use != sF48
| use != sF47 ),
inference(subsumption_resolution,[],[f541,f493]) ).
fof(f541,plain,
( use != sF36
| use != sF39
| use != sF38
| ~ leq(n0,pv5)
| use != sF50
| ~ leq(pv5,sF60)
| use != sF58
| use != sF43
| use != sF54
| use != sF49
| use != sF59
| use != sF53
| use != sF40
| use != sF37
| use != sF55
| use != sF45
| use != sF46
| use != sF63
| sP2
| use != sF41
| use != sF57
| leq(sK19,n2)
| use != sF47
| use != sF62
| use != sF44
| use != sF52
| use != sF64
| use != sF48
| use != sF56 ),
inference(subsumption_resolution,[],[f540,f526]) ).
fof(f540,plain,
( use != sF39
| use != sF38
| use != sF37
| use != sF47
| use != sF50
| use != sF54
| use != sF41
| use != sF43
| use != sF45
| ~ leq(n0,pv5)
| use != sF51
| sP2
| ~ leq(pv5,sF60)
| use != sF62
| use != sF44
| use != sF48
| use != sF46
| use != sF40
| use != sF57
| use != sF63
| use != sF55
| use != sF56
| use != sF59
| use != sF52
| use != sF53
| use != sF58
| use != sF36
| use != sF64
| leq(sK19,n2)
| use != sF49 ),
inference(subsumption_resolution,[],[f516,f534]) ).
fof(f516,plain,
( use != sF61
| ~ leq(n0,pv5)
| use != sF57
| use != sF50
| sP2
| use != sF63
| leq(sK19,n2)
| use != sF53
| use != sF49
| use != sF64
| use != sF38
| use != sF40
| use != sF55
| use != sF43
| use != sF45
| use != sF48
| use != sF58
| use != sF46
| use != sF47
| use != sF56
| use != sF51
| use != sF39
| use != sF41
| use != sF37
| use != sF62
| use != sF59
| use != sF44
| use != sF54
| ~ leq(pv5,sF60)
| use != sF52
| use != sF36 ),
inference(definition_folding,[],[f363,f492,f472,f515,f488,f514,f513,f496,f512,f511,f500,f510,f486,f482,f509,f508,f507,f506,f490,f476,f505,f504,f478,f498,f503,f474,f480,f494,f502]) ).
fof(f363,plain,
( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| leq(sK19,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f372,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(X1,pv5)
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f924,plain,
( ~ sP2
| use = a_select3(z_defuse,sK17,sK18) ),
inference(subsumption_resolution,[],[f923,f338]) ).
fof(f338,plain,
( leq(n0,sK17)
| ~ sP2 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( leq(n0,sK18)
& ( use != a_select3(u_defuse,sK17,sK18)
| use != a_select3(z_defuse,sK17,sK18) )
& leq(sK18,minus(pv5,n1))
& leq(n0,sK17)
& leq(sK17,n2) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f220,f221]) ).
fof(f221,plain,
( ? [X0,X1] :
( leq(n0,X1)
& ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(X1,minus(pv5,n1))
& leq(n0,X0)
& leq(X0,n2) )
=> ( leq(n0,sK18)
& ( use != a_select3(u_defuse,sK17,sK18)
| use != a_select3(z_defuse,sK17,sK18) )
& leq(sK18,minus(pv5,n1))
& leq(n0,sK17)
& leq(sK17,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ? [X0,X1] :
( leq(n0,X1)
& ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(X1,minus(pv5,n1))
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP2 ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
( ? [X4,X5] :
( leq(n0,X5)
& ( use != a_select3(u_defuse,X4,X5)
| use != a_select3(z_defuse,X4,X5) )
& leq(X5,minus(pv5,n1))
& leq(n0,X4)
& leq(X4,n2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f189]) ).
fof(f923,plain,
( use = a_select3(z_defuse,sK17,sK18)
| ~ sP2
| ~ leq(n0,sK17) ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f921,plain,
( ~ sP2
| use = a_select3(z_defuse,sK17,sK18)
| ~ sP2
| ~ leq(n0,sK17) ),
inference(resolution,[],[f842,f337]) ).
fof(f337,plain,
( leq(sK17,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f222]) ).
fof(f842,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK18)
| ~ sP2 ),
inference(subsumption_resolution,[],[f840,f341]) ).
fof(f341,plain,
( leq(n0,sK18)
| ~ sP2 ),
inference(cnf_transformation,[],[f222]) ).
fof(f840,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ sP2
| ~ leq(n0,X0)
| ~ leq(n0,sK18)
| use = a_select3(z_defuse,X0,sK18) ),
inference(resolution,[],[f786,f533]) ).
fof(f533,plain,
! [X4,X5] :
( ~ leq(X4,sF67)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n2)
| use = a_select3(z_defuse,X5,X4) ),
inference(definition_folding,[],[f349,f531]) ).
fof(f531,plain,
minus(pv5,n1) = sF67,
introduced(function_definition,[]) ).
fof(f349,plain,
! [X4,X5] :
( ~ leq(X4,minus(pv5,n1))
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f786,plain,
( leq(sK18,sF67)
| ~ sP2 ),
inference(forward_demodulation,[],[f339,f531]) ).
fof(f339,plain,
( leq(sK18,minus(pv5,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f222]) ).
fof(f938,plain,
( use = a_select3(z_defuse,sK17,sK18)
| use != sF66 ),
inference(subsumption_resolution,[],[f931,f933]) ).
fof(f933,plain,
( use = a_select3(z_defuse,sK17,sK18)
| use = sF65 ),
inference(resolution,[],[f924,f812]) ).
fof(f812,plain,
( sP2
| use = sF65 ),
inference(forward_demodulation,[],[f811,f517]) ).
fof(f517,plain,
sF65 = a_select3(z_defuse,sK19,sK20),
introduced(function_definition,[]) ).
fof(f811,plain,
( use = a_select3(z_defuse,sK19,sK20)
| sP2 ),
inference(subsumption_resolution,[],[f809,f796]) ).
fof(f809,plain,
( sP2
| ~ leq(n0,sK20)
| use = a_select3(z_defuse,sK19,sK20) ),
inference(duplicate_literal_removal,[],[f808]) ).
fof(f808,plain,
( sP2
| ~ leq(n0,sK20)
| sP2
| use = a_select3(z_defuse,sK19,sK20) ),
inference(resolution,[],[f805,f797]) ).
fof(f805,plain,
! [X1] :
( ~ leq(X1,pv5)
| ~ leq(n0,X1)
| use = a_select3(z_defuse,sK19,X1)
| sP2 ),
inference(subsumption_resolution,[],[f804,f798]) ).
fof(f804,plain,
! [X1] :
( ~ leq(X1,pv5)
| ~ leq(n0,sK19)
| ~ leq(n0,X1)
| use = a_select3(z_defuse,sK19,X1)
| sP2 ),
inference(resolution,[],[f371,f795]) ).
fof(f371,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv5)
| use = a_select3(z_defuse,X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f931,plain,
( use = a_select3(z_defuse,sK17,sK18)
| use != sF66
| use != sF65 ),
inference(resolution,[],[f924,f794]) ).
fof(f794,plain,
( sP2
| use != sF66
| use != sF65 ),
inference(trivial_inequality_removal,[],[f791]) ).
fof(f791,plain,
( use != sF66
| use != use
| use != sF65
| sP2 ),
inference(backward_demodulation,[],[f755,f479]) ).
fof(f755,plain,
( sP2
| use != sF39
| use != sF65
| use != sF66 ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f752,plain,
( use != use
| use != sF66
| use != sF65
| sP2
| use != sF39 ),
inference(backward_demodulation,[],[f748,f537]) ).
fof(f748,plain,
( use != sF66
| sP2
| use != sF39
| use != sF65
| use != sF56 ),
inference(trivial_inequality_removal,[],[f740]) ).
fof(f740,plain,
( use != use
| use != sF65
| use != sF39
| sP2
| use != sF56
| use != sF66 ),
inference(backward_demodulation,[],[f739,f528]) ).
fof(f739,plain,
( sP2
| use != sF56
| use != sF39
| use != sF66
| use != sF62
| use != sF65 ),
inference(subsumption_resolution,[],[f732,f343]) ).
fof(f732,plain,
( use != sF39
| use != sF65
| use != sF66
| use != sF56
| sP2
| use != sF62
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f730]) ).
fof(f730,plain,
( use != sF39
| use != sF65
| ~ leq(n0,pv5)
| use != sF56
| sP2
| use != sF62
| use != sF66
| use != use ),
inference(backward_demodulation,[],[f724,f497]) ).
fof(f724,plain,
( use != sF39
| use != sF62
| ~ leq(n0,pv5)
| sP2
| use != sF56
| use != sF66
| use != sF48
| use != sF65 ),
inference(trivial_inequality_removal,[],[f717]) ).
fof(f717,plain,
( use != sF65
| use != use
| use != sF48
| use != sF62
| sP2
| use != sF66
| use != sF39
| use != sF56
| ~ leq(n0,pv5) ),
inference(backward_demodulation,[],[f713,f495]) ).
fof(f713,plain,
( use != sF66
| use != sF62
| use != sF47
| use != sF65
| sP2
| use != sF39
| ~ leq(n0,pv5)
| use != sF48
| use != sF56 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f710,plain,
( use != sF48
| use != sF56
| use != sF66
| use != sF65
| use != sF39
| ~ leq(n0,pv5)
| sP2
| use != sF62
| use != use
| use != sF47 ),
inference(backward_demodulation,[],[f703,f477]) ).
fof(f703,plain,
( use != sF48
| use != sF38
| use != sF39
| ~ leq(n0,pv5)
| use != sF56
| use != sF65
| sP2
| use != sF66
| use != sF47
| use != sF62 ),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( use != sF66
| use != sF62
| use != sF39
| use != sF65
| sP2
| use != sF47
| use != sF38
| use != sF56
| use != use
| use != sF48
| ~ leq(n0,pv5) ),
inference(backward_demodulation,[],[f672,f525]) ).
fof(f672,plain,
( use != sF56
| use != sF47
| use != sF48
| use != sF66
| use != sF62
| use != sF38
| use != sF57
| use != sF65
| use != sF39
| sP2
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f667]) ).
fof(f667,plain,
( use != sF48
| use != sF62
| use != sF56
| use != sF65
| use != sF66
| use != sF38
| use != sF47
| use != use
| sP2
| use != sF57
| ~ leq(n0,pv5)
| use != sF39 ),
inference(backward_demodulation,[],[f664,f475]) ).
fof(f664,plain,
( use != sF65
| use != sF62
| use != sF56
| use != sF39
| sP2
| use != sF66
| use != sF37
| use != sF38
| use != sF47
| use != sF48
| use != sF57
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f659]) ).
fof(f659,plain,
( use != sF65
| use != sF37
| use != sF62
| use != sF56
| use != sF57
| use != sF48
| ~ leq(n0,pv5)
| use != sF39
| use != use
| use != sF66
| sP2
| use != sF47
| use != sF38 ),
inference(backward_demodulation,[],[f656,f487]) ).
fof(f656,plain,
( use != sF56
| use != sF38
| use != sF37
| use != sF57
| use != sF43
| use != sF65
| use != sF66
| use != sF48
| ~ leq(n0,pv5)
| use != sF47
| use != sF39
| use != sF62
| sP2 ),
inference(trivial_inequality_removal,[],[f652]) ).
fof(f652,plain,
( use != sF62
| use != sF37
| use != sF43
| use != sF47
| use != sF56
| ~ leq(n0,pv5)
| use != sF48
| use != sF65
| use != sF66
| use != use
| use != sF38
| sP2
| use != sF57
| use != sF39 ),
inference(backward_demodulation,[],[f645,f523]) ).
fof(f645,plain,
( use != sF47
| ~ leq(n0,pv5)
| use != sF37
| use != sF57
| use != sF48
| use != sF38
| use != sF62
| use != sF43
| use != sF56
| sP2
| use != sF52
| use != sF39
| use != sF66
| use != sF65 ),
inference(trivial_inequality_removal,[],[f641]) ).
fof(f641,plain,
( use != sF62
| use != sF57
| ~ leq(n0,pv5)
| use != sF48
| use != sF43
| sP2
| use != sF47
| use != sF39
| use != sF38
| use != use
| use != sF56
| use != sF52
| use != sF37
| use != sF66
| use != sF65 ),
inference(backward_demodulation,[],[f638,f501]) ).
fof(f638,plain,
( use != sF43
| use != sF56
| use != sF50
| use != sF38
| use != sF47
| use != sF52
| use != sF66
| ~ leq(n0,pv5)
| use != sF57
| use != sF39
| use != sF37
| use != sF65
| use != sF62
| sP2
| use != sF48 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f634,plain,
( use != sF52
| use != sF37
| use != sF65
| use != sF48
| use != sF38
| use != sF57
| use != sF66
| use != sF43
| use != sF62
| ~ leq(n0,pv5)
| use != sF56
| use != use
| use != sF39
| use != sF50
| use != sF47
| sP2 ),
inference(backward_demodulation,[],[f626,f527]) ).
fof(f626,plain,
( use != sF65
| use != sF58
| use != sF47
| use != sF62
| use != sF57
| use != sF37
| use != sF56
| use != sF50
| use != sF39
| sP2
| use != sF43
| use != sF66
| use != sF52
| use != sF38
| use != sF48
| ~ leq(n0,pv5) ),
inference(trivial_inequality_removal,[],[f623]) ).
fof(f623,plain,
( ~ leq(n0,pv5)
| use != sF66
| use != sF58
| use != sF57
| use != sF38
| use != sF39
| use != sF56
| use != sF52
| use != sF65
| use != sF43
| use != sF62
| use != sF47
| use != sF37
| use != sF48
| sP2
| use != sF50
| use != use ),
inference(backward_demodulation,[],[f620,f530]) ).
fof(f620,plain,
( use != sF65
| use != sF39
| use != sF56
| use != sF64
| use != sF52
| use != sF57
| use != sF43
| use != sF37
| use != sF62
| use != sF38
| use != sF58
| sP2
| use != sF47
| use != sF48
| ~ leq(n0,pv5)
| use != sF50
| use != sF66 ),
inference(trivial_inequality_removal,[],[f616]) ).
fof(f616,plain,
( use != sF43
| use != sF38
| ~ leq(n0,pv5)
| use != sF62
| use != sF66
| use != sF50
| use != use
| use != sF65
| use != sF37
| use != sF52
| sP2
| use != sF64
| use != sF58
| use != sF57
| use != sF56
| use != sF48
| use != sF47
| use != sF39 ),
inference(backward_demodulation,[],[f612,f499]) ).
fof(f612,plain,
( use != sF56
| ~ leq(n0,pv5)
| use != sF37
| use != sF39
| use != sF52
| use != sF47
| use != sF43
| use != sF64
| use != sF38
| use != sF66
| use != sF48
| use != sF57
| sP2
| use != sF58
| use != sF62
| use != sF50
| use != sF49
| use != sF65 ),
inference(trivial_inequality_removal,[],[f610]) ).
fof(f610,plain,
( use != sF57
| use != sF62
| use != sF58
| use != sF52
| use != sF64
| use != sF38
| use != use
| sP2
| use != sF47
| use != sF65
| use != sF43
| use != sF56
| use != sF49
| ~ leq(n0,pv5)
| use != sF48
| use != sF50
| use != sF66
| use != sF39
| use != sF37 ),
inference(backward_demodulation,[],[f607,f524]) ).
fof(f607,plain,
( use != sF48
| use != sF56
| use != sF52
| use != sF66
| use != sF50
| use != sF64
| use != sF62
| use != sF65
| use != sF47
| use != sF43
| use != sF58
| use != sF39
| use != sF38
| sP2
| use != sF49
| ~ leq(n0,pv5)
| use != sF53
| use != sF37
| use != sF57 ),
inference(trivial_inequality_removal,[],[f604]) ).
fof(f604,plain,
( use != sF53
| use != sF56
| ~ leq(n0,pv5)
| use != sF50
| use != sF58
| use != sF39
| use != sF62
| use != sF48
| use != sF43
| use != sF65
| use != use
| sP2
| use != sF52
| use != sF66
| use != sF49
| use != sF64
| use != sF47
| use != sF38
| use != sF37
| use != sF57 ),
inference(backward_demodulation,[],[f601,f483]) ).
fof(f601,plain,
( use != sF39
| sP2
| use != sF66
| use != sF41
| use != sF37
| use != sF64
| use != sF57
| use != sF49
| use != sF48
| use != sF38
| use != sF65
| use != sF53
| use != sF52
| use != sF62
| ~ leq(n0,pv5)
| use != sF56
| use != sF50
| use != sF43
| use != sF47
| use != sF58 ),
inference(trivial_inequality_removal,[],[f598]) ).
fof(f598,plain,
( use != sF53
| use != sF38
| use != sF64
| use != sF49
| use != sF50
| use != sF47
| use != use
| use != sF39
| use != sF57
| ~ leq(n0,pv5)
| use != sF41
| use != sF62
| use != sF48
| use != sF43
| sP2
| use != sF58
| use != sF65
| use != sF52
| use != sF66
| use != sF37
| use != sF56 ),
inference(backward_demodulation,[],[f595,f481]) ).
fof(f595,plain,
( use != sF65
| sP2
| use != sF57
| use != sF62
| use != sF58
| use != sF48
| use != sF39
| use != sF47
| use != sF41
| use != sF43
| use != sF52
| use != sF49
| ~ leq(n0,pv5)
| use != sF56
| use != sF37
| use != sF40
| use != sF66
| use != sF38
| use != sF50
| use != sF53
| use != sF64 ),
inference(trivial_inequality_removal,[],[f590]) ).
fof(f590,plain,
( ~ leq(n0,pv5)
| use != sF66
| use != sF62
| use != sF48
| use != sF58
| use != use
| use != sF65
| use != sF57
| use != sF37
| use != sF64
| use != sF39
| use != sF50
| use != sF41
| use != sF53
| sP2
| use != sF52
| use != sF56
| use != sF43
| use != sF38
| use != sF49
| use != sF40
| use != sF47 ),
inference(backward_demodulation,[],[f587,f535]) ).
fof(f587,plain,
( use != sF43
| use != sF65
| use != sF58
| use != sF63
| use != sF66
| use != sF62
| use != sF56
| ~ leq(n0,pv5)
| use != sF50
| use != sF49
| use != sF53
| sP2
| use != sF57
| use != sF41
| use != sF47
| use != sF37
| use != sF52
| use != sF48
| use != sF40
| use != sF64
| use != sF38
| use != sF39 ),
inference(trivial_inequality_removal,[],[f584]) ).
fof(f584,plain,
( use != sF40
| use != sF38
| use != sF66
| use != sF58
| use != use
| use != sF41
| use != sF43
| use != sF63
| use != sF48
| use != sF53
| use != sF62
| use != sF57
| use != sF37
| sP2
| ~ leq(n0,pv5)
| use != sF50
| use != sF64
| use != sF65
| use != sF47
| use != sF56
| use != sF39
| use != sF49
| use != sF52 ),
inference(backward_demodulation,[],[f579,f538]) ).
fof(f579,plain,
( use != sF62
| use != sF47
| use != sF38
| ~ leq(n0,pv5)
| use != sF56
| use != sF65
| use != sF39
| sP2
| use != sF37
| use != sF64
| use != sF66
| use != sF58
| use != sF50
| use != sF40
| use != sF63
| use != sF57
| use != sF41
| use != sF48
| use != sF55
| use != sF52
| use != sF53
| use != sF49
| use != sF43 ),
inference(trivial_inequality_removal,[],[f573]) ).
fof(f573,plain,
( use != sF40
| sP2
| use != sF47
| use != sF66
| use != sF48
| use != sF62
| use != sF43
| use != sF50
| use != sF38
| use != sF63
| use != use
| use != sF57
| use != sF37
| use != sF49
| use != sF41
| use != sF39
| use != sF65
| use != sF56
| use != sF64
| use != sF58
| ~ leq(n0,pv5)
| use != sF55
| use != sF52
| use != sF53 ),
inference(backward_demodulation,[],[f571,f536]) ).
fof(f571,plain,
( use != sF37
| use != sF40
| use != sF48
| use != sF64
| use != sF53
| use != sF57
| use != sF56
| use != sF66
| sP2
| use != sF55
| use != sF63
| use != sF38
| use != sF54
| use != sF50
| use != sF49
| use != sF41
| use != sF65
| use != sF47
| use != sF39
| ~ leq(n0,pv5)
| use != sF43
| use != sF58
| use != sF62
| use != sF52 ),
inference(subsumption_resolution,[],[f570,f534]) ).
fof(f570,plain,
( use != sF56
| use != sF50
| use != sF54
| use != sF63
| use != sF64
| use != sF57
| use != sF41
| use != sF47
| use != sF48
| use != sF37
| use != sF66
| ~ leq(n0,pv5)
| use != sF43
| use != sF52
| use != sF62
| use != sF38
| use != sF49
| use != sF53
| use != sF61
| use != sF55
| use != sF65
| use != sF40
| use != sF39
| use != sF58
| sP2 ),
inference(subsumption_resolution,[],[f569,f529]) ).
fof(f569,plain,
( use != sF43
| use != sF39
| use != sF38
| use != sF50
| use != sF49
| use != sF64
| use != sF66
| use != sF37
| use != sF40
| use != sF53
| sP2
| use != sF62
| use != sF52
| use != sF48
| use != sF41
| use != sF63
| use != sF58
| ~ leq(n0,pv5)
| use != sF47
| ~ leq(pv5,sF60)
| use != sF56
| use != sF54
| use != sF55
| use != sF65
| use != sF61
| use != sF57 ),
inference(subsumption_resolution,[],[f568,f526]) ).
fof(f568,plain,
( use != sF55
| use != sF56
| use != sF63
| use != sF65
| use != sF41
| use != sF50
| use != sF51
| use != sF57
| use != sF64
| use != sF61
| use != sF66
| use != sF47
| use != sF38
| use != sF53
| use != sF40
| use != sF37
| use != sF43
| use != sF52
| ~ leq(pv5,sF60)
| use != sF39
| sP2
| ~ leq(n0,pv5)
| use != sF49
| use != sF48
| use != sF54
| use != sF58
| use != sF62 ),
inference(subsumption_resolution,[],[f567,f491]) ).
fof(f567,plain,
( use != sF37
| use != sF62
| use != sF57
| use != sF41
| use != sF65
| sP2
| use != sF58
| use != sF45
| use != sF54
| use != sF66
| use != sF49
| use != sF56
| use != sF40
| use != sF64
| ~ leq(n0,pv5)
| use != sF61
| ~ leq(pv5,sF60)
| use != sF53
| use != sF63
| use != sF50
| use != sF47
| use != sF38
| use != sF55
| use != sF51
| use != sF39
| use != sF43
| use != sF48
| use != sF52 ),
inference(subsumption_resolution,[],[f566,f493]) ).
fof(f566,plain,
( use != sF46
| use != sF61
| use != sF63
| use != sF51
| use != sF40
| use != sF43
| use != sF41
| use != sF53
| use != sF62
| use != sF64
| use != sF48
| ~ leq(pv5,sF60)
| use != sF56
| ~ leq(n0,pv5)
| use != sF37
| use != sF45
| use != sF54
| use != sF47
| use != sF66
| sP2
| use != sF52
| use != sF58
| use != sF38
| use != sF49
| use != sF50
| use != sF57
| use != sF55
| use != sF39
| use != sF65 ),
inference(subsumption_resolution,[],[f565,f539]) ).
fof(f565,plain,
( use != sF37
| use != sF58
| use != sF66
| use != sF59
| use != sF47
| use != sF49
| ~ leq(pv5,sF60)
| use != sF56
| use != sF54
| use != sF61
| use != sF39
| use != sF64
| use != sF62
| use != sF41
| use != sF57
| use != sF43
| use != sF46
| ~ leq(n0,pv5)
| use != sF65
| sP2
| use != sF63
| use != sF51
| use != sF48
| use != sF40
| use != sF50
| use != sF53
| use != sF45
| use != sF38
| use != sF52
| use != sF55 ),
inference(subsumption_resolution,[],[f564,f473]) ).
fof(f564,plain,
( use != sF36
| use != sF41
| use != sF55
| use != sF50
| use != sF49
| use != sF47
| use != sF38
| sP2
| use != sF51
| use != sF66
| use != sF52
| use != sF63
| use != sF62
| use != sF53
| use != sF59
| use != sF45
| use != sF46
| use != sF58
| use != sF43
| use != sF56
| use != sF61
| ~ leq(n0,pv5)
| use != sF64
| use != sF54
| use != sF48
| use != sF40
| use != sF57
| use != sF39
| ~ leq(pv5,sF60)
| use != sF65
| use != sF37 ),
inference(subsumption_resolution,[],[f519,f489]) ).
fof(f519,plain,
( use != sF57
| use != sF43
| use != sF44
| use != sF49
| use != sF47
| use != sF61
| use != sF45
| sP2
| use != sF48
| use != sF38
| use != sF41
| use != sF53
| use != sF46
| ~ leq(pv5,sF60)
| use != sF63
| use != sF62
| use != sF52
| use != sF37
| use != sF51
| use != sF36
| use != sF40
| ~ leq(n0,pv5)
| use != sF39
| use != sF64
| use != sF55
| use != sF58
| use != sF65
| use != sF66
| use != sF59
| use != sF50
| use != sF54
| use != sF56 ),
inference(definition_folding,[],[f362,f492,f472,f515,f488,f514,f513,f496,f512,f511,f500,f510,f486,f482,f509,f508,f507,f506,f518,f517,f490,f476,f505,f504,f478,f498,f503,f474,f480,f494,f502]) ).
fof(f362,plain,
( use != a_select2(xinit_mean_defuse,n4)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(rho_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select3(z_defuse,sK19,sK20)
| use != a_select3(u_defuse,sK19,sK20)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| ~ leq(pv5,minus(n999,n1))
| use != a_select2(sigma_defuse,n2)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n0)
| ~ leq(n0,pv5)
| use != a_select3(u_defuse,n1,n0)
| use != a_select2(xinit_defuse,n3)
| sP2
| use != a_select2(sigma_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f340,plain,
( ~ sP2
| use != a_select3(z_defuse,sK17,sK18)
| use != a_select3(u_defuse,sK17,sK18) ),
inference(cnf_transformation,[],[f222]) ).
fof(f972,plain,
( ~ sP2
| use = a_select3(u_defuse,sK17,sK18) ),
inference(subsumption_resolution,[],[f971,f338]) ).
fof(f971,plain,
( ~ leq(n0,sK17)
| use = a_select3(u_defuse,sK17,sK18)
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f969]) ).
fof(f969,plain,
( ~ sP2
| use = a_select3(u_defuse,sK17,sK18)
| ~ sP2
| ~ leq(n0,sK17) ),
inference(resolution,[],[f843,f337]) ).
fof(f843,plain,
! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ sP2
| use = a_select3(u_defuse,X1,sK18) ),
inference(subsumption_resolution,[],[f841,f341]) ).
fof(f841,plain,
! [X1] :
( use = a_select3(u_defuse,X1,sK18)
| ~ leq(X1,n2)
| ~ leq(n0,sK18)
| ~ leq(n0,X1)
| ~ sP2 ),
inference(resolution,[],[f786,f532]) ).
fof(f532,plain,
! [X4,X5] :
( ~ leq(X4,sF67)
| ~ leq(n0,X4)
| ~ leq(X5,n2)
| ~ leq(n0,X5)
| use = a_select3(u_defuse,X5,X4) ),
inference(definition_folding,[],[f350,f531]) ).
fof(f350,plain,
! [X4,X5] :
( ~ leq(X4,minus(pv5,n1))
| ~ leq(n0,X4)
| use = a_select3(u_defuse,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f985,plain,
( use != sF65
| sP2 ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f982,plain,
( use != use
| sP2
| use != sF65 ),
inference(backward_demodulation,[],[f794,f980]) ).
fof(f980,plain,
use = sF66,
inference(resolution,[],[f973,f824]) ).
fof(f976,plain,
use = sF65,
inference(resolution,[],[f973,f812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 18:24:35 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (6514)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.51 % (6517)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (6502)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (6507)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (6509)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (6516)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 % (6508)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (6507)Instruction limit reached!
% 0.21/0.52 % (6507)------------------------------
% 0.21/0.52 % (6507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (6513)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (6507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6507)Termination reason: Unknown
% 0.21/0.53 % (6507)Termination phase: Preprocessing 2
% 0.21/0.53
% 0.21/0.53 % (6507)Memory used [KB]: 1023
% 0.21/0.53 % (6507)Time elapsed: 0.003 s
% 0.21/0.53 % (6507)Instructions burned: 3 (million)
% 0.21/0.53 % (6507)------------------------------
% 0.21/0.53 % (6507)------------------------------
% 0.21/0.53 % (6521)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (6504)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (6524)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (6525)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (6522)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.55 % (6501)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (6503)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.56 % (6512)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.57 % (6499)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.41/0.57 % (6526)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.57 % (6506)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.57 % (6523)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.57 % (6511)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.57 % (6505)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.57 % (6500)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.57 % (6520)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.58 % (6518)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.58 % (6515)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.58 % (6519)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.58/0.58 % (6528)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.58/0.58 % (6510)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.59 % (6527)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.59 % (6508)Instruction limit reached!
% 1.58/0.59 % (6508)------------------------------
% 1.58/0.59 % (6508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (6516)Instruction limit reached!
% 1.58/0.59 % (6516)------------------------------
% 1.58/0.59 % (6516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (6516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (6516)Termination reason: Unknown
% 1.58/0.59 % (6516)Termination phase: Finite model building preprocessing
% 1.58/0.59
% 1.58/0.59 % (6516)Memory used [KB]: 1918
% 1.58/0.59 % (6516)Time elapsed: 0.052 s
% 1.58/0.59 % (6516)Instructions burned: 59 (million)
% 1.58/0.59 % (6516)------------------------------
% 1.58/0.59 % (6516)------------------------------
% 1.58/0.59 % (6506)Instruction limit reached!
% 1.58/0.59 % (6506)------------------------------
% 1.58/0.59 % (6506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (6506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (6506)Termination reason: Unknown
% 1.58/0.59 % (6506)Termination phase: Function definition elimination
% 1.58/0.59
% 1.58/0.59 % (6506)Memory used [KB]: 1279
% 1.58/0.59 % (6506)Time elapsed: 0.006 s
% 1.58/0.59 % (6506)Instructions burned: 8 (million)
% 1.58/0.59 % (6506)------------------------------
% 1.58/0.59 % (6506)------------------------------
% 1.58/0.60 % (6502)Instruction limit reached!
% 1.58/0.60 % (6502)------------------------------
% 1.58/0.60 % (6502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (6501)Instruction limit reached!
% 1.58/0.60 % (6501)------------------------------
% 1.58/0.60 % (6501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (6501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (6501)Termination reason: Unknown
% 1.58/0.60 % (6501)Termination phase: Saturation
% 1.58/0.60
% 1.58/0.60 % (6501)Memory used [KB]: 1407
% 1.58/0.60 % (6501)Time elapsed: 0.017 s
% 1.58/0.60 % (6501)Instructions burned: 37 (million)
% 1.58/0.60 % (6501)------------------------------
% 1.58/0.60 % (6501)------------------------------
% 1.58/0.60 % (6502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (6502)Termination reason: Unknown
% 1.58/0.60 % (6502)Termination phase: Saturation
% 1.58/0.60
% 1.58/0.60 % (6502)Memory used [KB]: 6268
% 1.58/0.60 % (6502)Time elapsed: 0.173 s
% 1.58/0.60 % (6502)Instructions burned: 52 (million)
% 1.58/0.60 % (6502)------------------------------
% 1.58/0.60 % (6502)------------------------------
% 1.58/0.60 % (6508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (6508)Termination reason: Unknown
% 1.58/0.60 % (6508)Termination phase: Saturation
% 1.58/0.60
% 1.58/0.60 % (6508)Memory used [KB]: 1407
% 1.58/0.60 % (6508)Time elapsed: 0.031 s
% 1.58/0.61 % (6508)Instructions burned: 51 (million)
% 1.58/0.61 % (6508)------------------------------
% 1.58/0.61 % (6508)------------------------------
% 1.58/0.61 % (6509)Instruction limit reached!
% 1.58/0.61 % (6509)------------------------------
% 1.58/0.61 % (6509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61 % (6509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61 % (6509)Termination reason: Unknown
% 1.58/0.61 % (6509)Termination phase: Saturation
% 1.58/0.61
% 1.58/0.61 % (6509)Memory used [KB]: 6524
% 1.58/0.61 % (6509)Time elapsed: 0.179 s
% 1.58/0.61 % (6509)Instructions burned: 50 (million)
% 1.58/0.61 % (6509)------------------------------
% 1.58/0.61 % (6509)------------------------------
% 1.58/0.62 % (6504)Instruction limit reached!
% 1.58/0.62 % (6504)------------------------------
% 1.58/0.62 % (6504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (6514)First to succeed.
% 1.99/0.64 % (6513)Instruction limit reached!
% 1.99/0.64 % (6513)------------------------------
% 1.99/0.64 % (6513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65 % (6504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65 % (6504)Termination reason: Unknown
% 2.11/0.65 % (6504)Termination phase: Saturation
% 2.11/0.65
% 2.11/0.65 % (6504)Memory used [KB]: 6396
% 2.11/0.65 % (6504)Time elapsed: 0.187 s
% 2.11/0.65 % (6504)Instructions burned: 48 (million)
% 2.11/0.65 % (6504)------------------------------
% 2.11/0.65 % (6504)------------------------------
% 2.11/0.65 % (6513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65 % (6513)Termination reason: Unknown
% 2.11/0.65 % (6513)Termination phase: Saturation
% 2.11/0.65
% 2.11/0.65 % (6513)Memory used [KB]: 6908
% 2.11/0.65 % (6513)Time elapsed: 0.049 s
% 2.11/0.65 % (6513)Instructions burned: 68 (million)
% 2.11/0.65 % (6513)------------------------------
% 2.11/0.65 % (6513)------------------------------
% 2.11/0.66 % (6500)Instruction limit reached!
% 2.11/0.66 % (6500)------------------------------
% 2.11/0.66 % (6500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (6500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66 % (6500)Termination reason: Unknown
% 2.11/0.66 % (6500)Termination phase: Saturation
% 2.11/0.66
% 2.11/0.66 % (6500)Memory used [KB]: 6396
% 2.11/0.66 % (6500)Time elapsed: 0.230 s
% 2.11/0.66 % (6500)Instructions burned: 51 (million)
% 2.11/0.66 % (6500)------------------------------
% 2.11/0.66 % (6500)------------------------------
% 2.11/0.66 % (6514)Refutation found. Thanks to Tanya!
% 2.11/0.66 % SZS status Theorem for theBenchmark
% 2.11/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.66 % (6514)------------------------------
% 2.11/0.66 % (6514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (6514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66 % (6514)Termination reason: Refutation
% 2.11/0.66
% 2.11/0.66 % (6514)Memory used [KB]: 1918
% 2.11/0.66 % (6514)Time elapsed: 0.218 s
% 2.11/0.66 % (6514)Instructions burned: 67 (million)
% 2.11/0.66 % (6514)------------------------------
% 2.11/0.66 % (6514)------------------------------
% 2.11/0.66 % (6498)Success in time 0.283 s
%------------------------------------------------------------------------------