TSTP Solution File: SWV093+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV093+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 : n032.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 : Sun May 5 10:28:00 EDT 2024
% Result : Theorem 0.50s 0.70s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 48
% Syntax : Number of formulae : 214 ( 86 unt; 1 typ; 0 def)
% Number of atoms : 5727 ( 677 equ)
% Maximal formula atoms : 84 ( 26 avg)
% Number of connectives : 2168 ( 819 ~; 820 |; 469 &)
% ( 43 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 4165 (4165 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 72 ( 70 usr; 66 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 86 ( 63 !; 22 ?; 20 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ6_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f610,plain,
$false,
inference(avatar_sat_refutation,[],[f375,f380,f385,f390,f395,f520,f525,f530,f535,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f579,f586,f599,f609]) ).
tff(f609,plain,
( spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f608]) ).
tff(f608,plain,
( $false
| spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f607,f394]) ).
tff(f394,plain,
( leq(n0,sK1)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f392]) ).
tff(f392,plain,
( spl7_7
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
tff(f607,plain,
( ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f606,f389]) ).
tff(f389,plain,
( leq(n0,sK2)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f387]) ).
tff(f387,plain,
( spl7_6
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
tff(f606,plain,
( ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f605,f384]) ).
tff(f384,plain,
( leq(sK1,n2)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f382]) ).
tff(f382,plain,
( spl7_5
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
tff(f605,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f601,f379]) ).
tff(f379,plain,
( leq(sK2,pv5)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f377]) ).
tff(f377,plain,
( spl7_4
<=> leq(sK2,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f601,plain,
( ~ leq(sK2,pv5)
| ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3 ),
inference(resolution,[],[f374,f302]) ).
tff(f302,plain,
! [X4: $i,X5: $i] :
( sQ6_eqProxy($i,use,a_select3(z_defuse,X4,X5))
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f186,f293]) ).
tff(f293,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ6_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).
tff(f186,plain,
! [X4: $i,X5: $i] :
( ( use = a_select3(z_defuse,X4,X5) )
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f144]) ).
tff(f144,plain,
( ( ( ( ( use != a_select3(z_defuse,sK3,sK4) )
| ( use != a_select3(u_defuse,sK3,sK4) ) )
& leq(sK4,minus(pv5,n1))
& leq(sK3,n2)
& leq(n0,sK4)
& leq(n0,sK3) )
| sP0
| ~ 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) )
& ! [X4,X5] :
( ( ( use = a_select3(z_defuse,X4,X5) )
& ( use = a_select3(u_defuse,X4,X5) ) )
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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,[sK3,sK4])],[f142,f143]) ).
tff(f143,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,sK3,sK4) )
| ( use != a_select3(u_defuse,sK3,sK4) ) )
& leq(sK4,minus(pv5,n1))
& leq(sK3,n2)
& leq(n0,sK4)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f142,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) )
| sP0
| ~ 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) )
& ! [X4,X5] :
( ( ( use = a_select3(z_defuse,X4,X5) )
& ( use = a_select3(u_defuse,X4,X5) ) )
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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,[],[f137]) ).
tff(f137,plain,
( ( ? [X4,X5] :
( ( ( use != a_select3(z_defuse,X4,X5) )
| ( use != a_select3(u_defuse,X4,X5) ) )
& leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
| sP0
| ~ 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) )
& ! [X2,X3] :
( ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) )
| ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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(definition_folding,[],[f109,f136]) ).
tff(f136,plain,
( ? [X6,X7] :
( ( ( use != a_select3(z_defuse,X6,X7) )
| ( use != a_select3(u_defuse,X6,X7) ) )
& leq(X7,pv5)
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f109,plain,
( ( ? [X4,X5] :
( ( ( use != a_select3(z_defuse,X4,X5) )
| ( use != a_select3(u_defuse,X4,X5) ) )
& leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( ( ( use != a_select3(z_defuse,X6,X7) )
| ( use != a_select3(u_defuse,X6,X7) ) )
& leq(X7,pv5)
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ 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) )
& ! [X2,X3] :
( ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) )
| ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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,
( ( ? [X4,X5] :
( ( ( use != a_select3(z_defuse,X4,X5) )
| ( use != a_select3(u_defuse,X4,X5) ) )
& leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( ( ( use != a_select3(z_defuse,X6,X7) )
| ( use != a_select3(u_defuse,X6,X7) ) )
& leq(X7,pv5)
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ 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) )
& ! [X2,X3] :
( ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) )
| ~ leq(X3,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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) ) ) )
& ! [X2,X3] :
( ( leq(X3,pv5)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( use = a_select3(z_defuse,X2,X3) )
& ( use = a_select3(u_defuse,X2,X3) ) ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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) ) )
=> ( ! [X4,X5] :
( ( leq(X5,minus(pv5,n1))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( use = a_select3(z_defuse,X4,X5) )
& ( use = a_select3(u_defuse,X4,X5) ) ) )
& ! [X6,X7] :
( ( leq(X7,pv5)
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( ( use = a_select3(z_defuse,X6,X7) )
& ( use = a_select3(u_defuse,X6,X7) ) ) )
& 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,
~ ( ( ! [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) ) ) )
& ! [X13,X17] :
( ( leq(X17,pv5)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( use = a_select3(z_defuse,X13,X17) )
& ( use = a_select3(u_defuse,X13,X17) ) ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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) ) )
=> ( ! [X27,X28] :
( ( leq(X28,minus(pv5,n1))
& leq(X27,n2)
& leq(n0,X28)
& leq(n0,X27) )
=> ( ( use = a_select3(z_defuse,X27,X28) )
& ( use = a_select3(u_defuse,X27,X28) ) ) )
& ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( use = a_select3(z_defuse,X20,X21) )
& ( use = a_select3(u_defuse,X20,X21) ) ) )
& 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,
( ( ! [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) ) ) )
& ! [X13,X17] :
( ( leq(X17,pv5)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( use = a_select3(z_defuse,X13,X17) )
& ( use = a_select3(u_defuse,X13,X17) ) ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& 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) ) )
=> ( ! [X27,X28] :
( ( leq(X28,minus(pv5,n1))
& leq(X27,n2)
& leq(n0,X28)
& leq(n0,X27) )
=> ( ( use = a_select3(z_defuse,X27,X28) )
& ( use = a_select3(u_defuse,X27,X28) ) ) )
& ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( use = a_select3(z_defuse,X20,X21) )
& ( use = a_select3(u_defuse,X20,X21) ) ) )
& 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.BfgakW0iJc/Vampire---4.8_19376',quaternion_ds1_inuse_0005) ).
tff(f374,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2))
| spl7_3 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f372,plain,
( spl7_3
<=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f599,plain,
( spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f598]) ).
tff(f598,plain,
( $false
| spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f597,f394]) ).
tff(f597,plain,
( ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f596,f389]) ).
tff(f596,plain,
( ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f595,f384]) ).
tff(f595,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f591,f379]) ).
tff(f591,plain,
( ~ leq(sK2,pv5)
| ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2 ),
inference(resolution,[],[f370,f303]) ).
tff(f303,plain,
! [X4: $i,X5: $i] :
( sQ6_eqProxy($i,use,a_select3(u_defuse,X4,X5))
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f185,f293]) ).
tff(f185,plain,
! [X4: $i,X5: $i] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f144]) ).
tff(f370,plain,
( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2))
| spl7_2 ),
inference(avatar_component_clause,[],[f368]) ).
tff(f368,plain,
( spl7_2
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
tff(f586,plain,
( spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(avatar_contradiction_clause,[],[f585]) ).
tff(f585,plain,
( $false
| spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(subsumption_resolution,[],[f584,f539]) ).
tff(f539,plain,
( leq(n0,sK3)
| ~ spl7_42 ),
inference(avatar_component_clause,[],[f537]) ).
tff(f537,plain,
( spl7_42
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).
tff(f584,plain,
( ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41 ),
inference(subsumption_resolution,[],[f583,f534]) ).
tff(f534,plain,
( leq(n0,sK4)
| ~ spl7_41 ),
inference(avatar_component_clause,[],[f532]) ).
tff(f532,plain,
( spl7_41
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).
tff(f583,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39
| ~ spl7_40 ),
inference(subsumption_resolution,[],[f582,f529]) ).
tff(f529,plain,
( leq(sK3,n2)
| ~ spl7_40 ),
inference(avatar_component_clause,[],[f527]) ).
tff(f527,plain,
( spl7_40
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).
tff(f582,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39 ),
inference(subsumption_resolution,[],[f580,f524]) ).
tff(f524,plain,
( leq(sK4,minus(pv5,n1))
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f522]) ).
tff(f522,plain,
( spl7_39
<=> leq(sK4,minus(pv5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_39])]) ).
tff(f580,plain,
( ~ leq(sK4,minus(pv5,n1))
| ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38 ),
inference(resolution,[],[f519,f300]) ).
tff(f300,plain,
! [X2: $i,X3: $i] :
( sQ6_eqProxy($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,[],[f188,f293]) ).
tff(f188,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(z_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f144]) ).
tff(f519,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4))
| spl7_38 ),
inference(avatar_component_clause,[],[f517]) ).
tff(f517,plain,
( spl7_38
<=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).
tff(f579,plain,
( spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(avatar_contradiction_clause,[],[f578]) ).
tff(f578,plain,
( $false
| spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(subsumption_resolution,[],[f577,f539]) ).
tff(f577,plain,
( ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41 ),
inference(subsumption_resolution,[],[f576,f534]) ).
tff(f576,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39
| ~ spl7_40 ),
inference(subsumption_resolution,[],[f575,f529]) ).
tff(f575,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39 ),
inference(subsumption_resolution,[],[f574,f524]) ).
tff(f574,plain,
( ~ leq(sK4,minus(pv5,n1))
| ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37 ),
inference(resolution,[],[f301,f515]) ).
tff(f515,plain,
( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4))
| spl7_37 ),
inference(avatar_component_clause,[],[f513]) ).
tff(f513,plain,
( spl7_37
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).
tff(f301,plain,
! [X2: $i,X3: $i] :
( sQ6_eqProxy($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,[],[f187,f293]) ).
tff(f187,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f144]) ).
tff(f569,plain,
spl7_8,
inference(avatar_split_clause,[],[f330,f397]) ).
tff(f397,plain,
( spl7_8
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
tff(f330,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f154,f293]) ).
tff(f154,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f568,plain,
spl7_9,
inference(avatar_split_clause,[],[f329,f401]) ).
tff(f401,plain,
( spl7_9
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
tff(f329,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f155,f293]) ).
tff(f155,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f144]) ).
tff(f567,plain,
spl7_10,
inference(avatar_split_clause,[],[f328,f405]) ).
tff(f405,plain,
( spl7_10
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
tff(f328,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f156,f293]) ).
tff(f156,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f144]) ).
tff(f566,plain,
spl7_11,
inference(avatar_split_clause,[],[f327,f409]) ).
tff(f409,plain,
( spl7_11
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
tff(f327,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f157,f293]) ).
tff(f157,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f565,plain,
spl7_12,
inference(avatar_split_clause,[],[f326,f413]) ).
tff(f413,plain,
( spl7_12
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
tff(f326,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f158,f293]) ).
tff(f158,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f144]) ).
tff(f564,plain,
spl7_13,
inference(avatar_split_clause,[],[f325,f417]) ).
tff(f417,plain,
( spl7_13
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
tff(f325,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f159,f293]) ).
tff(f159,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f144]) ).
tff(f563,plain,
spl7_14,
inference(avatar_split_clause,[],[f324,f421]) ).
tff(f421,plain,
( spl7_14
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
tff(f324,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f160,f293]) ).
tff(f160,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f144]) ).
tff(f562,plain,
spl7_15,
inference(avatar_split_clause,[],[f323,f425]) ).
tff(f425,plain,
( spl7_15
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
tff(f323,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f161,f293]) ).
tff(f161,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f144]) ).
tff(f561,plain,
spl7_16,
inference(avatar_split_clause,[],[f322,f429]) ).
tff(f429,plain,
( spl7_16
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
tff(f322,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f162,f293]) ).
tff(f162,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f144]) ).
tff(f560,plain,
spl7_17,
inference(avatar_split_clause,[],[f321,f433]) ).
tff(f433,plain,
( spl7_17
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
tff(f321,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f163,f293]) ).
tff(f163,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f559,plain,
spl7_18,
inference(avatar_split_clause,[],[f320,f437]) ).
tff(f437,plain,
( spl7_18
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
tff(f320,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f164,f293]) ).
tff(f164,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f558,plain,
spl7_19,
inference(avatar_split_clause,[],[f319,f441]) ).
tff(f441,plain,
( spl7_19
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
tff(f319,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f165,f293]) ).
tff(f165,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f557,plain,
spl7_20,
inference(avatar_split_clause,[],[f318,f445]) ).
tff(f445,plain,
( spl7_20
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
tff(f318,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f166,f293]) ).
tff(f166,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f144]) ).
tff(f556,plain,
spl7_21,
inference(avatar_split_clause,[],[f317,f449]) ).
tff(f449,plain,
( spl7_21
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
tff(f317,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f167,f293]) ).
tff(f167,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f144]) ).
tff(f555,plain,
spl7_22,
inference(avatar_split_clause,[],[f316,f453]) ).
tff(f453,plain,
( spl7_22
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
tff(f316,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f168,f293]) ).
tff(f168,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f144]) ).
tff(f554,plain,
spl7_23,
inference(avatar_split_clause,[],[f315,f457]) ).
tff(f457,plain,
( spl7_23
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
tff(f315,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f169,f293]) ).
tff(f169,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f553,plain,
spl7_24,
inference(avatar_split_clause,[],[f314,f461]) ).
tff(f461,plain,
( spl7_24
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
tff(f314,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f170,f293]) ).
tff(f170,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f144]) ).
tff(f552,plain,
spl7_25,
inference(avatar_split_clause,[],[f313,f465]) ).
tff(f465,plain,
( spl7_25
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
tff(f313,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f171,f293]) ).
tff(f171,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f144]) ).
tff(f551,plain,
spl7_26,
inference(avatar_split_clause,[],[f312,f469]) ).
tff(f469,plain,
( spl7_26
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
tff(f312,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f172,f293]) ).
tff(f172,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f144]) ).
tff(f550,plain,
spl7_27,
inference(avatar_split_clause,[],[f311,f473]) ).
tff(f473,plain,
( spl7_27
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
tff(f311,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f173,f293]) ).
tff(f173,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f144]) ).
tff(f549,plain,
spl7_28,
inference(avatar_split_clause,[],[f310,f477]) ).
tff(f477,plain,
( spl7_28
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
tff(f310,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f174,f293]) ).
tff(f174,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f144]) ).
tff(f548,plain,
spl7_29,
inference(avatar_split_clause,[],[f309,f481]) ).
tff(f481,plain,
( spl7_29
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
tff(f309,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f175,f293]) ).
tff(f175,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f144]) ).
tff(f547,plain,
spl7_30,
inference(avatar_split_clause,[],[f308,f485]) ).
tff(f485,plain,
( spl7_30
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
tff(f308,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f176,f293]) ).
tff(f176,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f144]) ).
tff(f546,plain,
spl7_31,
inference(avatar_split_clause,[],[f307,f489]) ).
tff(f489,plain,
( spl7_31
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
tff(f307,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f177,f293]) ).
tff(f177,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f144]) ).
tff(f545,plain,
spl7_32,
inference(avatar_split_clause,[],[f306,f493]) ).
tff(f493,plain,
( spl7_32
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
tff(f306,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f178,f293]) ).
tff(f178,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f144]) ).
tff(f544,plain,
spl7_33,
inference(avatar_split_clause,[],[f305,f497]) ).
tff(f497,plain,
( spl7_33
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).
tff(f305,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f179,f293]) ).
tff(f179,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f144]) ).
tff(f543,plain,
spl7_34,
inference(avatar_split_clause,[],[f304,f501]) ).
tff(f501,plain,
( spl7_34
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).
tff(f304,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f180,f293]) ).
tff(f180,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f144]) ).
tff(f542,plain,
spl7_35,
inference(avatar_split_clause,[],[f181,f505]) ).
tff(f505,plain,
( spl7_35
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).
tff(f181,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f144]) ).
tff(f541,plain,
spl7_36,
inference(avatar_split_clause,[],[f183,f509]) ).
tff(f509,plain,
( spl7_36
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).
tff(f183,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f144]) ).
tff(f540,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| spl7_42 ),
inference(avatar_split_clause,[],[f299,f537,f364,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397]) ).
tff(f364,plain,
( spl7_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
tff(f299,plain,
( leq(n0,sK3)
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f189,f293]) ).
tff(f189,plain,
( leq(n0,sK3)
| sP0
| ~ 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,[],[f144]) ).
tff(f535,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| spl7_41 ),
inference(avatar_split_clause,[],[f298,f532,f364,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397]) ).
tff(f298,plain,
( leq(n0,sK4)
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f190,f293]) ).
tff(f190,plain,
( leq(n0,sK4)
| sP0
| ~ 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,[],[f144]) ).
tff(f530,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| spl7_40 ),
inference(avatar_split_clause,[],[f297,f527,f364,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397]) ).
tff(f297,plain,
( leq(sK3,n2)
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f191,f293]) ).
tff(f191,plain,
( leq(sK3,n2)
| sP0
| ~ 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,[],[f144]) ).
tff(f525,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| spl7_39 ),
inference(avatar_split_clause,[],[f296,f522,f364,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397]) ).
tff(f296,plain,
( leq(sK4,minus(pv5,n1))
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f192,f293]) ).
tff(f192,plain,
( leq(sK4,minus(pv5,n1))
| sP0
| ~ 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,[],[f144]) ).
tff(f520,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| ~ spl7_37
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f295,f517,f513,f364,f509,f505,f501,f497,f493,f489,f485,f481,f477,f473,f469,f465,f461,f457,f453,f449,f445,f441,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397]) ).
tff(f295,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4))
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
| ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f193,f293]) ).
tff(f193,plain,
( ( use != a_select3(z_defuse,sK3,sK4) )
| ( use != a_select3(u_defuse,sK3,sK4) )
| sP0
| ~ 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,[],[f144]) ).
tff(f395,plain,
( ~ spl7_1
| spl7_7 ),
inference(avatar_split_clause,[],[f149,f392,f364]) ).
tff(f149,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
( ( ( ( use != a_select3(z_defuse,sK1,sK2) )
| ( use != a_select3(u_defuse,sK1,sK2) ) )
& leq(sK2,pv5)
& leq(sK1,n2)
& leq(n0,sK2)
& leq(n0,sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f139,f140]) ).
tff(f140,plain,
( ? [X0,X1] :
( ( ( use != a_select3(z_defuse,X0,X1) )
| ( use != a_select3(u_defuse,X0,X1) ) )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( ( use != a_select3(z_defuse,sK1,sK2) )
| ( use != a_select3(u_defuse,sK1,sK2) ) )
& leq(sK2,pv5)
& leq(sK1,n2)
& leq(n0,sK2)
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
( ? [X0,X1] :
( ( ( use != a_select3(z_defuse,X0,X1) )
| ( use != a_select3(u_defuse,X0,X1) ) )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f138]) ).
tff(f138,plain,
( ? [X6,X7] :
( ( ( use != a_select3(z_defuse,X6,X7) )
| ( use != a_select3(u_defuse,X6,X7) ) )
& leq(X7,pv5)
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP0 ),
inference(nnf_transformation,[],[f136]) ).
tff(f390,plain,
( ~ spl7_1
| spl7_6 ),
inference(avatar_split_clause,[],[f150,f387,f364]) ).
tff(f150,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tff(f385,plain,
( ~ spl7_1
| spl7_5 ),
inference(avatar_split_clause,[],[f151,f382,f364]) ).
tff(f151,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tff(f380,plain,
( ~ spl7_1
| spl7_4 ),
inference(avatar_split_clause,[],[f152,f377,f364]) ).
tff(f152,plain,
( leq(sK2,pv5)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
tff(f375,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f294,f372,f368,f364]) ).
tff(f294,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2))
| ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f153,f293]) ).
tff(f153,plain,
( ( use != a_select3(z_defuse,sK1,sK2) )
| ( use != a_select3(u_defuse,sK1,sK2) )
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV093+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12 % 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
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 21:16:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32 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.BfgakW0iJc/Vampire---4.8_19376
% 0.50/0.68 % (19484)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)
% 0.50/0.69 % (19488)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)
% 0.50/0.69 % (19487)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)
% 0.50/0.69 % (19486)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.69 % (19489)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)
% 0.50/0.69 % (19490)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)
% 0.50/0.69 % (19491)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)
% 0.50/0.69 % (19485)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)
% 0.50/0.69 % (19484)First to succeed.
% 0.50/0.69 % (19491)Also succeeded, but the first one will report.
% 0.50/0.70 % (19485)Also succeeded, but the first one will report.
% 0.50/0.70 % (19487)Also succeeded, but the first one will report.
% 0.50/0.70 % (19486)Also succeeded, but the first one will report.
% 0.50/0.70 % (19484)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19483"
% 0.50/0.70 % (19493)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.70 % (19488)Instruction limit reached!
% 0.50/0.70 % (19488)------------------------------
% 0.50/0.70 % (19488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70 % (19488)Termination reason: Unknown
% 0.50/0.70 % (19488)Termination phase: Saturation
% 0.50/0.70
% 0.50/0.70 % (19488)Memory used [KB]: 1588
% 0.50/0.70 % (19488)Time elapsed: 0.015 s
% 0.50/0.70 % (19488)Instructions burned: 35 (million)
% 0.50/0.70 % (19492)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.70 % (19484)Refutation found. Thanks to Tanya!
% 0.50/0.70 % SZS status Theorem for Vampire---4
% 0.50/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 0.50/0.70 % (19484)------------------------------
% 0.50/0.70 % (19484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70 % (19484)Termination reason: Refutation
% 0.50/0.70
% 0.50/0.70 % (19484)Memory used [KB]: 1255
% 0.50/0.70 % (19484)Time elapsed: 0.013 s
% 0.50/0.70 % (19484)Instructions burned: 24 (million)
% 0.50/0.70 % (19483)Success in time 0.371 s
% 0.50/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------