TSTP Solution File: SWV097+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV097+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 : n014.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 10:28:01 EDT 2024
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% 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 : 5663 ( 677 equ)
% Maximal formula atoms : 82 ( 26 avg)
% Number of connectives : 2152 ( 819 ~; 820 |; 453 &)
% ( 43 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 4117 (4117 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 70 ( 68 usr; 64 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(f583,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f358,f363,f368,f493,f498,f503,f508,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f552,f559,f572,f582]) ).
tff(f582,plain,
( spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f581]) ).
tff(f581,plain,
( $false
| spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f580,f367]) ).
tff(f367,plain,
( leq(n0,sK1)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f365,plain,
( spl7_7
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
tff(f580,plain,
( ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f579,f362]) ).
tff(f362,plain,
( leq(n0,sK2)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f360,plain,
( spl7_6
<=> leq(n0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
tff(f579,plain,
( ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f578,f357]) ).
tff(f357,plain,
( leq(sK1,n2)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f355]) ).
tff(f355,plain,
( spl7_5
<=> leq(sK1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
tff(f578,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f574,f352]) ).
tff(f352,plain,
( leq(sK2,pv5)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f350,plain,
( spl7_4
<=> leq(sK2,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f574,plain,
( ~ leq(sK2,pv5)
| ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_3 ),
inference(resolution,[],[f347,f277]) ).
tff(f277,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,[],[f172,f268]) ).
tff(f268,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ6_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).
tff(f172,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,[],[f132]) ).
tff(f132,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(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f130,f131]) ).
tff(f131,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(f130,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(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,[],[f125]) ).
tff(f125,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(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(definition_folding,[],[f99,f124]) ).
tff(f124,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(f99,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(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(flattening,[],[f98]) ).
tff(f98,plain,
( ( ? [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(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( use = a_select2(xinit_noise_defuse,n5) )
& ( use = a_select2(xinit_noise_defuse,n4) )
& ( use = a_select2(xinit_noise_defuse,n3) )
& ( use = a_select2(xinit_noise_defuse,n2) )
& ( use = a_select2(xinit_noise_defuse,n1) )
& ( use = a_select2(xinit_noise_defuse,n0) )
& ( use = a_select2(xinit_mean_defuse,n5) )
& ( use = a_select2(xinit_mean_defuse,n4) )
& ( use = a_select2(xinit_mean_defuse,n3) )
& ( use = a_select2(xinit_mean_defuse,n2) )
& ( use = a_select2(xinit_mean_defuse,n1) )
& ( use = a_select2(xinit_mean_defuse,n0) )
& ( use = a_select2(xinit_defuse,n5) )
& ( use = a_select2(xinit_defuse,n4) )
& ( use = a_select2(xinit_defuse,n3) )
& ( use = a_select3(u_defuse,n2,n0) )
& ( use = a_select3(u_defuse,n1,n0) )
& ( use = a_select3(u_defuse,n0,n0) )
& ( use = a_select2(sigma_defuse,n5) )
& ( use = a_select2(sigma_defuse,n4) )
& ( use = a_select2(sigma_defuse,n3) )
& ( use = a_select2(sigma_defuse,n2) )
& ( use = a_select2(sigma_defuse,n1) )
& ( use = a_select2(sigma_defuse,n0) )
& ( use = a_select2(rho_defuse,n2) )
& ( use = a_select2(rho_defuse,n1) )
& ( use = a_select2(rho_defuse,n0) ) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( use = a_select3(z_defuse,X0,X1) )
& ( use = a_select3(u_defuse,X0,X1) ) ) )
& ! [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(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) ) )
=> ( ! [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(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) ) )
=> ( ! [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(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) ) )
=> ( ! [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.bUHpGgkC7J/Vampire---4.8_12272',quaternion_ds1_inuse_0009) ).
tff(f347,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2))
| spl7_3 ),
inference(avatar_component_clause,[],[f345]) ).
tff(f345,plain,
( spl7_3
<=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f572,plain,
( spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f571]) ).
tff(f571,plain,
( $false
| spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f570,f367]) ).
tff(f570,plain,
( ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f569,f362]) ).
tff(f569,plain,
( ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f568,f357]) ).
tff(f568,plain,
( ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f564,f352]) ).
tff(f564,plain,
( ~ leq(sK2,pv5)
| ~ leq(sK1,n2)
| ~ leq(n0,sK2)
| ~ leq(n0,sK1)
| spl7_2 ),
inference(resolution,[],[f343,f278]) ).
tff(f278,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,[],[f171,f268]) ).
tff(f171,plain,
! [X4: $i,X5: $i] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,pv5)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f132]) ).
tff(f343,plain,
( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2))
| spl7_2 ),
inference(avatar_component_clause,[],[f341]) ).
tff(f341,plain,
( spl7_2
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
tff(f559,plain,
( spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(avatar_contradiction_clause,[],[f558]) ).
tff(f558,plain,
( $false
| spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(subsumption_resolution,[],[f557,f512]) ).
tff(f512,plain,
( leq(n0,sK3)
| ~ spl7_42 ),
inference(avatar_component_clause,[],[f510]) ).
tff(f510,plain,
( spl7_42
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).
tff(f557,plain,
( ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41 ),
inference(subsumption_resolution,[],[f556,f507]) ).
tff(f507,plain,
( leq(n0,sK4)
| ~ spl7_41 ),
inference(avatar_component_clause,[],[f505]) ).
tff(f505,plain,
( spl7_41
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).
tff(f556,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39
| ~ spl7_40 ),
inference(subsumption_resolution,[],[f555,f502]) ).
tff(f502,plain,
( leq(sK3,n2)
| ~ spl7_40 ),
inference(avatar_component_clause,[],[f500]) ).
tff(f500,plain,
( spl7_40
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).
tff(f555,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38
| ~ spl7_39 ),
inference(subsumption_resolution,[],[f553,f497]) ).
tff(f497,plain,
( leq(sK4,minus(pv5,n1))
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f495]) ).
tff(f495,plain,
( spl7_39
<=> leq(sK4,minus(pv5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_39])]) ).
tff(f553,plain,
( ~ leq(sK4,minus(pv5,n1))
| ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_38 ),
inference(resolution,[],[f492,f275]) ).
tff(f275,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,[],[f174,f268]) ).
tff(f174,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(z_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f132]) ).
tff(f492,plain,
( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4))
| spl7_38 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f490,plain,
( spl7_38
<=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).
tff(f552,plain,
( spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(avatar_contradiction_clause,[],[f551]) ).
tff(f551,plain,
( $false
| spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41
| ~ spl7_42 ),
inference(subsumption_resolution,[],[f550,f512]) ).
tff(f550,plain,
( ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39
| ~ spl7_40
| ~ spl7_41 ),
inference(subsumption_resolution,[],[f549,f507]) ).
tff(f549,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39
| ~ spl7_40 ),
inference(subsumption_resolution,[],[f548,f502]) ).
tff(f548,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37
| ~ spl7_39 ),
inference(subsumption_resolution,[],[f547,f497]) ).
tff(f547,plain,
( ~ leq(sK4,minus(pv5,n1))
| ~ leq(sK3,n2)
| ~ leq(n0,sK4)
| ~ leq(n0,sK3)
| spl7_37 ),
inference(resolution,[],[f276,f488]) ).
tff(f488,plain,
( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4))
| spl7_37 ),
inference(avatar_component_clause,[],[f486]) ).
tff(f486,plain,
( spl7_37
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).
tff(f276,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,[],[f173,f268]) ).
tff(f173,plain,
! [X2: $i,X3: $i] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f132]) ).
tff(f542,plain,
spl7_8,
inference(avatar_split_clause,[],[f305,f370]) ).
tff(f370,plain,
( spl7_8
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
tff(f305,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f142,f268]) ).
tff(f142,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f541,plain,
spl7_9,
inference(avatar_split_clause,[],[f304,f374]) ).
tff(f374,plain,
( spl7_9
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
tff(f304,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f143,f268]) ).
tff(f143,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f132]) ).
tff(f540,plain,
spl7_10,
inference(avatar_split_clause,[],[f303,f378]) ).
tff(f378,plain,
( spl7_10
<=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
tff(f303,plain,
sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f144,f268]) ).
tff(f144,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f132]) ).
tff(f539,plain,
spl7_11,
inference(avatar_split_clause,[],[f302,f382]) ).
tff(f382,plain,
( spl7_11
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
tff(f302,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f145,f268]) ).
tff(f145,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f538,plain,
spl7_12,
inference(avatar_split_clause,[],[f301,f386]) ).
tff(f386,plain,
( spl7_12
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
tff(f301,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f146,f268]) ).
tff(f146,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f132]) ).
tff(f537,plain,
spl7_13,
inference(avatar_split_clause,[],[f300,f390]) ).
tff(f390,plain,
( spl7_13
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
tff(f300,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f147,f268]) ).
tff(f147,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f132]) ).
tff(f536,plain,
spl7_14,
inference(avatar_split_clause,[],[f299,f394]) ).
tff(f394,plain,
( spl7_14
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
tff(f299,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f148,f268]) ).
tff(f148,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f132]) ).
tff(f535,plain,
spl7_15,
inference(avatar_split_clause,[],[f298,f398]) ).
tff(f398,plain,
( spl7_15
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
tff(f298,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f149,f268]) ).
tff(f149,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f132]) ).
tff(f534,plain,
spl7_16,
inference(avatar_split_clause,[],[f297,f402]) ).
tff(f402,plain,
( spl7_16
<=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
tff(f297,plain,
sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f150,f268]) ).
tff(f150,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f132]) ).
tff(f533,plain,
spl7_17,
inference(avatar_split_clause,[],[f296,f406]) ).
tff(f406,plain,
( spl7_17
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
tff(f296,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f151,f268]) ).
tff(f151,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f532,plain,
spl7_18,
inference(avatar_split_clause,[],[f295,f410]) ).
tff(f410,plain,
( spl7_18
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
tff(f295,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f152,f268]) ).
tff(f152,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f531,plain,
spl7_19,
inference(avatar_split_clause,[],[f294,f414]) ).
tff(f414,plain,
( spl7_19
<=> sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
tff(f294,plain,
sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f153,f268]) ).
tff(f153,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f530,plain,
spl7_20,
inference(avatar_split_clause,[],[f293,f418]) ).
tff(f418,plain,
( spl7_20
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
tff(f293,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f154,f268]) ).
tff(f154,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f132]) ).
tff(f529,plain,
spl7_21,
inference(avatar_split_clause,[],[f292,f422]) ).
tff(f422,plain,
( spl7_21
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
tff(f292,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f155,f268]) ).
tff(f155,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f132]) ).
tff(f528,plain,
spl7_22,
inference(avatar_split_clause,[],[f291,f426]) ).
tff(f426,plain,
( spl7_22
<=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
tff(f291,plain,
sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f156,f268]) ).
tff(f156,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f132]) ).
tff(f527,plain,
spl7_23,
inference(avatar_split_clause,[],[f290,f430]) ).
tff(f430,plain,
( spl7_23
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
tff(f290,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f157,f268]) ).
tff(f157,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f526,plain,
spl7_24,
inference(avatar_split_clause,[],[f289,f434]) ).
tff(f434,plain,
( spl7_24
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
tff(f289,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f158,f268]) ).
tff(f158,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f132]) ).
tff(f525,plain,
spl7_25,
inference(avatar_split_clause,[],[f288,f438]) ).
tff(f438,plain,
( spl7_25
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
tff(f288,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f159,f268]) ).
tff(f159,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f132]) ).
tff(f524,plain,
spl7_26,
inference(avatar_split_clause,[],[f287,f442]) ).
tff(f442,plain,
( spl7_26
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
tff(f287,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f160,f268]) ).
tff(f160,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f132]) ).
tff(f523,plain,
spl7_27,
inference(avatar_split_clause,[],[f286,f446]) ).
tff(f446,plain,
( spl7_27
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
tff(f286,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f161,f268]) ).
tff(f161,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f132]) ).
tff(f522,plain,
spl7_28,
inference(avatar_split_clause,[],[f285,f450]) ).
tff(f450,plain,
( spl7_28
<=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
tff(f285,plain,
sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f162,f268]) ).
tff(f162,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f132]) ).
tff(f521,plain,
spl7_29,
inference(avatar_split_clause,[],[f284,f454]) ).
tff(f454,plain,
( spl7_29
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
tff(f284,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f163,f268]) ).
tff(f163,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f132]) ).
tff(f520,plain,
spl7_30,
inference(avatar_split_clause,[],[f283,f458]) ).
tff(f458,plain,
( spl7_30
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
tff(f283,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f164,f268]) ).
tff(f164,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f132]) ).
tff(f519,plain,
spl7_31,
inference(avatar_split_clause,[],[f282,f462]) ).
tff(f462,plain,
( spl7_31
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
tff(f282,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f165,f268]) ).
tff(f165,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f132]) ).
tff(f518,plain,
spl7_32,
inference(avatar_split_clause,[],[f281,f466]) ).
tff(f466,plain,
( spl7_32
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
tff(f281,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f166,f268]) ).
tff(f166,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f132]) ).
tff(f517,plain,
spl7_33,
inference(avatar_split_clause,[],[f280,f470]) ).
tff(f470,plain,
( spl7_33
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).
tff(f280,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f167,f268]) ).
tff(f167,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f132]) ).
tff(f516,plain,
spl7_34,
inference(avatar_split_clause,[],[f279,f474]) ).
tff(f474,plain,
( spl7_34
<=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).
tff(f279,plain,
sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f168,f268]) ).
tff(f168,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f132]) ).
tff(f515,plain,
spl7_35,
inference(avatar_split_clause,[],[f169,f478]) ).
tff(f478,plain,
( spl7_35
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).
tff(f169,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f132]) ).
tff(f514,plain,
spl7_36,
inference(avatar_split_clause,[],[f170,f482]) ).
tff(f482,plain,
( spl7_36
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).
tff(f170,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f132]) ).
tff(f513,plain,
( ~ spl7_8
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_14
| ~ spl7_15
| ~ spl7_16
| ~ spl7_17
| ~ spl7_18
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23
| ~ spl7_24
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_29
| ~ spl7_30
| ~ spl7_31
| ~ spl7_32
| ~ spl7_33
| ~ spl7_34
| ~ spl7_35
| ~ spl7_36
| spl7_1
| spl7_42 ),
inference(avatar_split_clause,[],[f274,f510,f337,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).
tff(f337,plain,
( spl7_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
tff(f274,plain,
( leq(n0,sK3)
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| ~ sQ6_eqProxy($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,[],[f175,f268]) ).
tff(f175,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,[],[f132]) ).
tff(f508,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,[],[f273,f505,f337,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).
tff(f273,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,[],[f176,f268]) ).
tff(f176,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,[],[f132]) ).
tff(f503,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,[],[f272,f500,f337,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).
tff(f272,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,[],[f177,f268]) ).
tff(f177,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,[],[f132]) ).
tff(f498,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,[],[f271,f495,f337,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).
tff(f271,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,[],[f178,f268]) ).
tff(f178,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,[],[f132]) ).
tff(f493,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,[],[f270,f490,f486,f337,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).
tff(f270,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,[],[f179,f268]) ).
tff(f179,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,[],[f132]) ).
tff(f368,plain,
( ~ spl7_1
| spl7_7 ),
inference(avatar_split_clause,[],[f137,f365,f337]) ).
tff(f137,plain,
( leq(n0,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
tff(f129,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])],[f127,f128]) ).
tff(f128,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(f127,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,[],[f126]) ).
tff(f126,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,[],[f124]) ).
tff(f363,plain,
( ~ spl7_1
| spl7_6 ),
inference(avatar_split_clause,[],[f138,f360,f337]) ).
tff(f138,plain,
( leq(n0,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
tff(f358,plain,
( ~ spl7_1
| spl7_5 ),
inference(avatar_split_clause,[],[f139,f355,f337]) ).
tff(f139,plain,
( leq(sK1,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
tff(f353,plain,
( ~ spl7_1
| spl7_4 ),
inference(avatar_split_clause,[],[f140,f350,f337]) ).
tff(f140,plain,
( leq(sK2,pv5)
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
tff(f348,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f269,f345,f341,f337]) ).
tff(f269,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,[],[f141,f268]) ).
tff(f141,plain,
( ( use != a_select3(z_defuse,sK1,sK2) )
| ( use != a_select3(u_defuse,sK1,sK2) )
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV097+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.12 % 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
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 21:02:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 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.bUHpGgkC7J/Vampire---4.8_12272
% 0.62/0.82 % (12383)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)
% 0.62/0.82 % (12380)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)
% 0.62/0.82 % (12385)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)
% 0.62/0.82 % (12382)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (12386)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)
% 0.62/0.82 % (12381)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)
% 0.62/0.82 % (12384)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)
% 0.62/0.82 % (12387)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)
% 0.62/0.82 % (12380)First to succeed.
% 0.62/0.82 % (12387)Also succeeded, but the first one will report.
% 0.62/0.83 % (12383)Also succeeded, but the first one will report.
% 0.62/0.83 % (12380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12379"
% 0.62/0.83 % (12382)Also succeeded, but the first one will report.
% 0.62/0.83 % (12380)Refutation found. Thanks to Tanya!
% 0.62/0.83 % SZS status Theorem for Vampire---4
% 0.62/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83 % (12380)------------------------------
% 0.62/0.83 % (12380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (12380)Termination reason: Refutation
% 0.62/0.83
% 0.62/0.83 % (12380)Memory used [KB]: 1251
% 0.62/0.83 % (12380)Time elapsed: 0.012 s
% 0.62/0.83 % (12380)Instructions burned: 23 (million)
% 0.62/0.83 % (12379)Success in time 0.482 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------