TSTP Solution File: SWV099+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 May 1 04:02:31 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 168 ( 86 unt; 1 typ; 0 def)
% Number of atoms : 4728 ( 577 equ)
% Maximal formula atoms : 70 ( 28 avg)
% Number of connectives : 1697 ( 657 ~; 648 |; 346 &)
% ( 36 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 3521 (3521 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 60 ( 58 usr; 54 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 40 ( 31 !; 8 ?; 12 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f506,plain,
$false,
inference(avatar_sat_refutation,[],[f444,f449,f454,f459,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f485,f486,f487,f488,f489,f490,f491,f492,f493,f499,f505]) ).
tff(f505,plain,
( spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f504]) ).
tff(f504,plain,
( $false
| spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(subsumption_resolution,[],[f503,f463]) ).
tff(f463,plain,
( leq(n0,sK0)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f461,plain,
( spl4_35
<=> leq(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
tff(f503,plain,
( ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f502,f458]) ).
tff(f458,plain,
( leq(n0,sK1)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f456]) ).
tff(f456,plain,
( spl4_34
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
tff(f502,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f501,f453]) ).
tff(f453,plain,
( leq(sK0,n2)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f451,plain,
( spl4_33
<=> leq(sK0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
tff(f501,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f500,f448]) ).
tff(f448,plain,
( leq(sK1,minus(pv5,n1))
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f446,plain,
( spl4_32
<=> leq(sK1,minus(pv5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
tff(f500,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31 ),
inference(resolution,[],[f443,f261]) ).
tff(f261,plain,
! [X2: $i,X3: $i] :
( sQ3_eqProxy($i,use,a_select3(z_defuse,X2,X3))
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f161,f255]) ).
tff(f255,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f161,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(z_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
( ( ( ( ( use != a_select3(z_defuse,sK0,sK1) )
| ( use != a_select3(u_defuse,sK0,sK1) ) )
& leq(sK1,minus(pv5,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) )
& ! [X2,X3] :
( ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f124,f125]) ).
tff(f125,plain,
( ? [X0,X1] :
( ( ( use != a_select3(z_defuse,X0,X1) )
| ( use != a_select3(u_defuse,X0,X1) ) )
& leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( ( use != a_select3(z_defuse,sK0,sK1) )
| ( use != a_select3(u_defuse,sK0,sK1) ) )
& leq(sK1,minus(pv5,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f124,plain,
( ( ? [X0,X1] :
( ( ( use != a_select3(z_defuse,X0,X1) )
| ( use != a_select3(u_defuse,X0,X1) ) )
& leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) )
& ! [X2,X3] :
( ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
( ( ? [X2,X3] :
( ( ( use != a_select3(z_defuse,X2,X3) )
| ( use != a_select3(u_defuse,X2,X3) ) )
& leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) )
& ! [X0,X1] :
( ( ( use = a_select3(z_defuse,X0,X1) )
& ( use = a_select3(u_defuse,X0,X1) ) )
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(flattening,[],[f98]) ).
tff(f98,plain,
( ( ? [X2,X3] :
( ( ( use != a_select3(z_defuse,X2,X3) )
| ( use != a_select3(u_defuse,X2,X3) ) )
& leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) )
& ! [X0,X1] :
( ( ( use = a_select3(z_defuse,X0,X1) )
& ( use = a_select3(u_defuse,X0,X1) ) )
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( use = a_select3(z_defuse,X0,X1) )
& ( use = a_select3(u_defuse,X0,X1) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( ! [X13,X17] :
( ( leq(X17,minus(pv5,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( use = a_select3(z_defuse,X13,X17) )
& ( use = a_select3(u_defuse,X13,X17) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [X3,X19] :
( ( leq(X19,minus(pv5,n1))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( use = a_select3(z_defuse,X3,X19) )
& ( use = a_select3(u_defuse,X3,X19) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( ! [X13,X17] :
( ( leq(X17,minus(pv5,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( use = a_select3(z_defuse,X13,X17) )
& ( use = a_select3(u_defuse,X13,X17) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [X3,X19] :
( ( leq(X19,minus(pv5,n1))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( use = a_select3(z_defuse,X3,X19) )
& ( use = a_select3(u_defuse,X3,X19) ) ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.CWECYtDedm/Vampire---4.8_19025',quaternion_ds1_inuse_0011) ).
tff(f443,plain,
( ~ sQ3_eqProxy($i,use,a_select3(z_defuse,sK0,sK1))
| spl4_31 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f441,plain,
( spl4_31
<=> sQ3_eqProxy($i,use,a_select3(z_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
tff(f499,plain,
( spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f498]) ).
tff(f498,plain,
( $false
| spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(subsumption_resolution,[],[f497,f463]) ).
tff(f497,plain,
( ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f496,f458]) ).
tff(f496,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f495,f453]) ).
tff(f495,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f494,f448]) ).
tff(f494,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30 ),
inference(resolution,[],[f262,f439]) ).
tff(f439,plain,
( ~ sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1))
| spl4_30 ),
inference(avatar_component_clause,[],[f437]) ).
tff(f437,plain,
( spl4_30
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
tff(f262,plain,
! [X2: $i,X3: $i] :
( sQ3_eqProxy($i,use,a_select3(u_defuse,X2,X3))
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f160,f255]) ).
tff(f160,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f126]) ).
tff(f493,plain,
spl4_1,
inference(avatar_split_clause,[],[f289,f321]) ).
tff(f321,plain,
( spl4_1
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f289,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f131,f255]) ).
tff(f131,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f492,plain,
spl4_2,
inference(avatar_split_clause,[],[f288,f325]) ).
tff(f325,plain,
( spl4_2
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f288,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f132,f255]) ).
tff(f132,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f126]) ).
tff(f491,plain,
spl4_3,
inference(avatar_split_clause,[],[f287,f329]) ).
tff(f329,plain,
( spl4_3
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f287,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f133,f255]) ).
tff(f133,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f126]) ).
tff(f490,plain,
spl4_4,
inference(avatar_split_clause,[],[f286,f333]) ).
tff(f333,plain,
( spl4_4
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f286,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f134,f255]) ).
tff(f134,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f489,plain,
spl4_5,
inference(avatar_split_clause,[],[f285,f337]) ).
tff(f337,plain,
( spl4_5
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f285,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f135,f255]) ).
tff(f135,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f126]) ).
tff(f488,plain,
spl4_6,
inference(avatar_split_clause,[],[f284,f341]) ).
tff(f341,plain,
( spl4_6
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f284,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f136,f255]) ).
tff(f136,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f126]) ).
tff(f487,plain,
spl4_7,
inference(avatar_split_clause,[],[f283,f345]) ).
tff(f345,plain,
( spl4_7
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f283,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f137,f255]) ).
tff(f137,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f126]) ).
tff(f486,plain,
spl4_8,
inference(avatar_split_clause,[],[f282,f349]) ).
tff(f349,plain,
( spl4_8
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f282,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f138,f255]) ).
tff(f138,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f126]) ).
tff(f485,plain,
spl4_9,
inference(avatar_split_clause,[],[f281,f353]) ).
tff(f353,plain,
( spl4_9
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
tff(f281,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f139,f255]) ).
tff(f139,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f126]) ).
tff(f484,plain,
spl4_10,
inference(avatar_split_clause,[],[f280,f357]) ).
tff(f357,plain,
( spl4_10
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
tff(f280,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f140,f255]) ).
tff(f140,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f483,plain,
spl4_11,
inference(avatar_split_clause,[],[f279,f361]) ).
tff(f361,plain,
( spl4_11
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
tff(f279,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f141,f255]) ).
tff(f141,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f482,plain,
spl4_12,
inference(avatar_split_clause,[],[f278,f365]) ).
tff(f365,plain,
( spl4_12
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
tff(f278,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f142,f255]) ).
tff(f142,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f481,plain,
spl4_13,
inference(avatar_split_clause,[],[f277,f369]) ).
tff(f369,plain,
( spl4_13
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
tff(f277,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f143,f255]) ).
tff(f143,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f126]) ).
tff(f480,plain,
spl4_14,
inference(avatar_split_clause,[],[f276,f373]) ).
tff(f373,plain,
( spl4_14
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
tff(f276,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f144,f255]) ).
tff(f144,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f126]) ).
tff(f479,plain,
spl4_15,
inference(avatar_split_clause,[],[f275,f377]) ).
tff(f377,plain,
( spl4_15
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
tff(f275,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f145,f255]) ).
tff(f145,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f126]) ).
tff(f478,plain,
spl4_16,
inference(avatar_split_clause,[],[f274,f381]) ).
tff(f381,plain,
( spl4_16
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
tff(f274,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f146,f255]) ).
tff(f146,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f477,plain,
spl4_17,
inference(avatar_split_clause,[],[f273,f385]) ).
tff(f385,plain,
( spl4_17
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
tff(f273,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f147,f255]) ).
tff(f147,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f126]) ).
tff(f476,plain,
spl4_18,
inference(avatar_split_clause,[],[f272,f389]) ).
tff(f389,plain,
( spl4_18
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
tff(f272,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f148,f255]) ).
tff(f148,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f126]) ).
tff(f475,plain,
spl4_19,
inference(avatar_split_clause,[],[f271,f393]) ).
tff(f393,plain,
( spl4_19
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
tff(f271,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f149,f255]) ).
tff(f149,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f126]) ).
tff(f474,plain,
spl4_20,
inference(avatar_split_clause,[],[f270,f397]) ).
tff(f397,plain,
( spl4_20
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
tff(f270,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f150,f255]) ).
tff(f150,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f126]) ).
tff(f473,plain,
spl4_21,
inference(avatar_split_clause,[],[f269,f401]) ).
tff(f401,plain,
( spl4_21
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
tff(f269,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f151,f255]) ).
tff(f151,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f126]) ).
tff(f472,plain,
spl4_22,
inference(avatar_split_clause,[],[f268,f405]) ).
tff(f405,plain,
( spl4_22
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
tff(f268,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f152,f255]) ).
tff(f152,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f126]) ).
tff(f471,plain,
spl4_23,
inference(avatar_split_clause,[],[f267,f409]) ).
tff(f409,plain,
( spl4_23
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
tff(f267,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f153,f255]) ).
tff(f153,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f126]) ).
tff(f470,plain,
spl4_24,
inference(avatar_split_clause,[],[f266,f413]) ).
tff(f413,plain,
( spl4_24
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
tff(f266,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f154,f255]) ).
tff(f154,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f126]) ).
tff(f469,plain,
spl4_25,
inference(avatar_split_clause,[],[f265,f417]) ).
tff(f417,plain,
( spl4_25
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
tff(f265,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f155,f255]) ).
tff(f155,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f126]) ).
tff(f468,plain,
spl4_26,
inference(avatar_split_clause,[],[f264,f421]) ).
tff(f421,plain,
( spl4_26
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
tff(f264,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f156,f255]) ).
tff(f156,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f126]) ).
tff(f467,plain,
spl4_27,
inference(avatar_split_clause,[],[f263,f425]) ).
tff(f425,plain,
( spl4_27
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
tff(f263,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f157,f255]) ).
tff(f157,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f126]) ).
tff(f466,plain,
spl4_28,
inference(avatar_split_clause,[],[f158,f429]) ).
tff(f429,plain,
( spl4_28
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
tff(f158,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f126]) ).
tff(f465,plain,
spl4_29,
inference(avatar_split_clause,[],[f159,f433]) ).
tff(f433,plain,
( spl4_29
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
tff(f159,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f126]) ).
tff(f464,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| spl4_35 ),
inference(avatar_split_clause,[],[f260,f461,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349,f345,f341,f337,f333,f329,f325,f321]) ).
tff(f260,plain,
( leq(n0,sK0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f162,f255]) ).
tff(f162,plain,
( leq(n0,sK0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f459,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| spl4_34 ),
inference(avatar_split_clause,[],[f259,f456,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349,f345,f341,f337,f333,f329,f325,f321]) ).
tff(f259,plain,
( leq(n0,sK1)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f163,f255]) ).
tff(f163,plain,
( leq(n0,sK1)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f454,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| spl4_33 ),
inference(avatar_split_clause,[],[f258,f451,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349,f345,f341,f337,f333,f329,f325,f321]) ).
tff(f258,plain,
( leq(sK0,n2)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f164,f255]) ).
tff(f164,plain,
( leq(sK0,n2)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f449,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| spl4_32 ),
inference(avatar_split_clause,[],[f257,f446,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349,f345,f341,f337,f333,f329,f325,f321]) ).
tff(f257,plain,
( leq(sK1,minus(pv5,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f165,f255]) ).
tff(f165,plain,
( leq(sK1,minus(pv5,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f444,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| ~ spl4_30
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f256,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353,f349,f345,f341,f337,f333,f329,f325,f321]) ).
tff(f256,plain,
( ~ sQ3_eqProxy($i,use,a_select3(z_defuse,sK0,sK1))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f166,f255]) ).
tff(f166,plain,
( ( use != a_select3(z_defuse,sK0,sK1) )
| ( use != a_select3(u_defuse,sK0,sK1) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 18:58:35 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CWECYtDedm/Vampire---4.8_19025
% 0.57/0.76 % (19278)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.76 % (19272)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.76 % (19273)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.76 % (19274)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (19277)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76 % (19279)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.76 % (19276)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.62/0.77 % (19272)First to succeed.
% 0.62/0.77 % (19275)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.62/0.77 % (19279)Also succeeded, but the first one will report.
% 0.62/0.77 % (19272)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78 % (19272)------------------------------
% 0.62/0.78 % (19272)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (19272)Termination reason: Refutation
% 0.62/0.78
% 0.62/0.78 % (19272)Memory used [KB]: 1225
% 0.62/0.78 % (19272)Time elapsed: 0.011 s
% 0.62/0.78 % (19272)Instructions burned: 20 (million)
% 0.62/0.78 % (19272)------------------------------
% 0.62/0.78 % (19272)------------------------------
% 0.62/0.78 % (19268)Success in time 0.385 s
% 0.62/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------