TSTP Solution File: SWV096+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV096+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 04:02:30 EDT 2024
% Result : Theorem 0.66s 0.83s
% Output : Refutation 0.66s
% 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 : 4784 ( 577 equ)
% Maximal formula atoms : 72 ( 28 avg)
% Number of connectives : 1711 ( 657 ~; 648 |; 360 &)
% ( 36 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 3563 (3563 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 62 ( 60 usr; 56 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(f533,plain,
$false,
inference(avatar_sat_refutation,[],[f471,f476,f481,f486,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f526,f532]) ).
tff(f532,plain,
( spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f531]) ).
tff(f531,plain,
( $false
| spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(subsumption_resolution,[],[f530,f490]) ).
tff(f490,plain,
( leq(n0,sK0)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f488]) ).
tff(f488,plain,
( spl4_35
<=> leq(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
tff(f530,plain,
( ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f529,f485]) ).
tff(f485,plain,
( leq(n0,sK1)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f483]) ).
tff(f483,plain,
( spl4_34
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
tff(f529,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f528,f480]) ).
tff(f480,plain,
( leq(sK0,n2)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f478]) ).
tff(f478,plain,
( spl4_33
<=> leq(sK0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
tff(f528,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f527,f475]) ).
tff(f475,plain,
( leq(sK1,minus(pv5,n1))
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f473]) ).
tff(f473,plain,
( spl4_32
<=> leq(sK1,minus(pv5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
tff(f527,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_31 ),
inference(resolution,[],[f470,f286]) ).
tff(f286,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,[],[f175,f280]) ).
tff(f280,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f175,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,[],[f138]) ).
tff(f138,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f136,f137]) ).
tff(f137,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(f136,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(rectify,[],[f109]) ).
tff(f109,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(flattening,[],[f108]) ).
tff(f108,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(ennf_transformation,[],[f104]) ).
tff(f104,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) )
=> ( ! [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/sandbox2/tmp/tmp.ihcxZ55Cq8/Vampire---4.8_28643',quaternion_ds1_inuse_0008) ).
tff(f470,plain,
( ~ sQ3_eqProxy($i,use,a_select3(z_defuse,sK0,sK1))
| spl4_31 ),
inference(avatar_component_clause,[],[f468]) ).
tff(f468,plain,
( spl4_31
<=> sQ3_eqProxy($i,use,a_select3(z_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
tff(f526,plain,
( spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f525]) ).
tff(f525,plain,
( $false
| spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34
| ~ spl4_35 ),
inference(subsumption_resolution,[],[f524,f490]) ).
tff(f524,plain,
( ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f523,f485]) ).
tff(f523,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f522,f480]) ).
tff(f522,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f521,f475]) ).
tff(f521,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl4_30 ),
inference(resolution,[],[f287,f466]) ).
tff(f466,plain,
( ~ sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1))
| spl4_30 ),
inference(avatar_component_clause,[],[f464]) ).
tff(f464,plain,
( spl4_30
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
tff(f287,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,[],[f174,f280]) ).
tff(f174,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f138]) ).
tff(f520,plain,
spl4_1,
inference(avatar_split_clause,[],[f314,f348]) ).
tff(f348,plain,
( spl4_1
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f314,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f143,f280]) ).
tff(f143,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f519,plain,
spl4_2,
inference(avatar_split_clause,[],[f313,f352]) ).
tff(f352,plain,
( spl4_2
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f313,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f144,f280]) ).
tff(f144,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f138]) ).
tff(f518,plain,
spl4_3,
inference(avatar_split_clause,[],[f312,f356]) ).
tff(f356,plain,
( spl4_3
<=> sQ3_eqProxy($i,use,a_select2(rho_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f312,plain,
sQ3_eqProxy($i,use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f145,f280]) ).
tff(f145,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f138]) ).
tff(f517,plain,
spl4_4,
inference(avatar_split_clause,[],[f311,f360]) ).
tff(f360,plain,
( spl4_4
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f311,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f146,f280]) ).
tff(f146,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f516,plain,
spl4_5,
inference(avatar_split_clause,[],[f310,f364]) ).
tff(f364,plain,
( spl4_5
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f310,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f147,f280]) ).
tff(f147,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f138]) ).
tff(f515,plain,
spl4_6,
inference(avatar_split_clause,[],[f309,f368]) ).
tff(f368,plain,
( spl4_6
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f309,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f148,f280]) ).
tff(f148,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f138]) ).
tff(f514,plain,
spl4_7,
inference(avatar_split_clause,[],[f308,f372]) ).
tff(f372,plain,
( spl4_7
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f308,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f149,f280]) ).
tff(f149,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f138]) ).
tff(f513,plain,
spl4_8,
inference(avatar_split_clause,[],[f307,f376]) ).
tff(f376,plain,
( spl4_8
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f307,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f150,f280]) ).
tff(f150,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f138]) ).
tff(f512,plain,
spl4_9,
inference(avatar_split_clause,[],[f306,f380]) ).
tff(f380,plain,
( spl4_9
<=> sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
tff(f306,plain,
sQ3_eqProxy($i,use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f151,f280]) ).
tff(f151,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f138]) ).
tff(f511,plain,
spl4_10,
inference(avatar_split_clause,[],[f305,f384]) ).
tff(f384,plain,
( spl4_10
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
tff(f305,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f152,f280]) ).
tff(f152,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f510,plain,
spl4_11,
inference(avatar_split_clause,[],[f304,f388]) ).
tff(f388,plain,
( spl4_11
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
tff(f304,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f153,f280]) ).
tff(f153,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f509,plain,
spl4_12,
inference(avatar_split_clause,[],[f303,f392]) ).
tff(f392,plain,
( spl4_12
<=> sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
tff(f303,plain,
sQ3_eqProxy($i,use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f154,f280]) ).
tff(f154,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f508,plain,
spl4_13,
inference(avatar_split_clause,[],[f302,f396]) ).
tff(f396,plain,
( spl4_13
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
tff(f302,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f155,f280]) ).
tff(f155,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f138]) ).
tff(f507,plain,
spl4_14,
inference(avatar_split_clause,[],[f301,f400]) ).
tff(f400,plain,
( spl4_14
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
tff(f301,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f156,f280]) ).
tff(f156,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f138]) ).
tff(f506,plain,
spl4_15,
inference(avatar_split_clause,[],[f300,f404]) ).
tff(f404,plain,
( spl4_15
<=> sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
tff(f300,plain,
sQ3_eqProxy($i,use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f157,f280]) ).
tff(f157,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f138]) ).
tff(f505,plain,
spl4_16,
inference(avatar_split_clause,[],[f299,f408]) ).
tff(f408,plain,
( spl4_16
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
tff(f299,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f158,f280]) ).
tff(f158,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f504,plain,
spl4_17,
inference(avatar_split_clause,[],[f298,f412]) ).
tff(f412,plain,
( spl4_17
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
tff(f298,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f159,f280]) ).
tff(f159,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f138]) ).
tff(f503,plain,
spl4_18,
inference(avatar_split_clause,[],[f297,f416]) ).
tff(f416,plain,
( spl4_18
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
tff(f297,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f160,f280]) ).
tff(f160,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f138]) ).
tff(f502,plain,
spl4_19,
inference(avatar_split_clause,[],[f296,f420]) ).
tff(f420,plain,
( spl4_19
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
tff(f296,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f161,f280]) ).
tff(f161,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f138]) ).
tff(f501,plain,
spl4_20,
inference(avatar_split_clause,[],[f295,f424]) ).
tff(f424,plain,
( spl4_20
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
tff(f295,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f162,f280]) ).
tff(f162,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f138]) ).
tff(f500,plain,
spl4_21,
inference(avatar_split_clause,[],[f294,f428]) ).
tff(f428,plain,
( spl4_21
<=> sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
tff(f294,plain,
sQ3_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f163,f280]) ).
tff(f163,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f138]) ).
tff(f499,plain,
spl4_22,
inference(avatar_split_clause,[],[f293,f432]) ).
tff(f432,plain,
( spl4_22
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
tff(f293,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f164,f280]) ).
tff(f164,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f138]) ).
tff(f498,plain,
spl4_23,
inference(avatar_split_clause,[],[f292,f436]) ).
tff(f436,plain,
( spl4_23
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
tff(f292,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f165,f280]) ).
tff(f165,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f138]) ).
tff(f497,plain,
spl4_24,
inference(avatar_split_clause,[],[f291,f440]) ).
tff(f440,plain,
( spl4_24
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
tff(f291,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f166,f280]) ).
tff(f166,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f138]) ).
tff(f496,plain,
spl4_25,
inference(avatar_split_clause,[],[f290,f444]) ).
tff(f444,plain,
( spl4_25
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
tff(f290,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f167,f280]) ).
tff(f167,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f138]) ).
tff(f495,plain,
spl4_26,
inference(avatar_split_clause,[],[f289,f448]) ).
tff(f448,plain,
( spl4_26
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
tff(f289,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f168,f280]) ).
tff(f168,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f138]) ).
tff(f494,plain,
spl4_27,
inference(avatar_split_clause,[],[f288,f452]) ).
tff(f452,plain,
( spl4_27
<=> sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
tff(f288,plain,
sQ3_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f169,f280]) ).
tff(f169,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f138]) ).
tff(f493,plain,
spl4_28,
inference(avatar_split_clause,[],[f170,f456]) ).
tff(f456,plain,
( spl4_28
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
tff(f170,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f138]) ).
tff(f492,plain,
spl4_29,
inference(avatar_split_clause,[],[f172,f460]) ).
tff(f460,plain,
( spl4_29
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
tff(f172,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f138]) ).
tff(f491,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| spl4_35 ),
inference(avatar_split_clause,[],[f285,f488,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348]) ).
tff(f285,plain,
( leq(n0,sK0)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ3_eqProxy($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,[],[f176,f280]) ).
tff(f176,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,[],[f138]) ).
tff(f486,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,[],[f284,f483,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348]) ).
tff(f284,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,[],[f177,f280]) ).
tff(f177,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,[],[f138]) ).
tff(f481,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,[],[f283,f478,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348]) ).
tff(f283,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,[],[f178,f280]) ).
tff(f178,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,[],[f138]) ).
tff(f476,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,[],[f282,f473,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348]) ).
tff(f282,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($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f179,f280]) ).
tff(f179,plain,
( leq(sK1,minus(pv5,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ( use != a_select2(xinit_noise_defuse,n5) )
| ( use != a_select2(xinit_noise_defuse,n4) )
| ( use != a_select2(xinit_noise_defuse,n3) )
| ( use != a_select2(xinit_noise_defuse,n2) )
| ( use != a_select2(xinit_noise_defuse,n1) )
| ( use != a_select2(xinit_noise_defuse,n0) )
| ( use != a_select2(xinit_mean_defuse,n5) )
| ( use != a_select2(xinit_mean_defuse,n4) )
| ( use != a_select2(xinit_mean_defuse,n3) )
| ( use != a_select2(xinit_mean_defuse,n2) )
| ( use != a_select2(xinit_mean_defuse,n1) )
| ( use != a_select2(xinit_mean_defuse,n0) )
| ( use != a_select2(xinit_defuse,n5) )
| ( use != a_select2(xinit_defuse,n4) )
| ( use != a_select2(xinit_defuse,n3) )
| ( use != a_select3(u_defuse,n2,n0) )
| ( use != a_select3(u_defuse,n1,n0) )
| ( use != a_select3(u_defuse,n0,n0) )
| ( use != a_select2(sigma_defuse,n5) )
| ( use != a_select2(sigma_defuse,n4) )
| ( use != a_select2(sigma_defuse,n3) )
| ( use != a_select2(sigma_defuse,n2) )
| ( use != a_select2(sigma_defuse,n1) )
| ( use != a_select2(sigma_defuse,n0) )
| ( use != a_select2(rho_defuse,n2) )
| ( use != a_select2(rho_defuse,n1) )
| ( use != a_select2(rho_defuse,n0) ) ),
inference(cnf_transformation,[],[f138]) ).
tff(f471,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25
| ~ spl4_26
| ~ spl4_27
| ~ spl4_28
| ~ spl4_29
| ~ spl4_30
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f281,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348]) ).
tff(f281,plain,
( ~ sQ3_eqProxy($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,[],[f180,f280]) ).
tff(f180,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,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV096+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 18:26:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ihcxZ55Cq8/Vampire---4.8_28643
% 0.60/0.82 % (28755)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 (2995ds/34Mi)
% 0.60/0.82 % (28757)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82 % (28756)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 (2995ds/51Mi)
% 0.60/0.82 % (28758)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82 % (28759)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 (2995ds/34Mi)
% 0.60/0.82 % (28760)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82 % (28761)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 (2995ds/83Mi)
% 0.60/0.82 % (28762)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 (2995ds/56Mi)
% 0.60/0.83 % (28755)First to succeed.
% 0.60/0.83 % (28757)Also succeeded, but the first one will report.
% 0.60/0.83 % (28762)Also succeeded, but the first one will report.
% 0.66/0.83 % (28755)Refutation found. Thanks to Tanya!
% 0.66/0.83 % SZS status Theorem for Vampire---4
% 0.66/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.84 % (28755)------------------------------
% 0.66/0.84 % (28755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84 % (28755)Termination reason: Refutation
% 0.66/0.84
% 0.66/0.84 % (28755)Memory used [KB]: 1229
% 0.66/0.84 % (28755)Time elapsed: 0.011 s
% 0.66/0.84 % (28755)Instructions burned: 21 (million)
% 0.66/0.84 % (28755)------------------------------
% 0.66/0.84 % (28755)------------------------------
% 0.66/0.84 % (28751)Success in time 0.499 s
% 0.66/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------