%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV118+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:28 PM UTC 2026
% Result : Theorem 118.32s 16.72s
% Output : CNFRefutation 118.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 348 ( 10 unt; 21 def)
% Number of atoms : 2489 ( 326 equ)
% Maximal formula atoms : 136 ( 7 avg)
% Number of connectives : 3036 ( 935 ~;1277 |; 740 &)
% ( 1 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 22 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 40 con; 0-4 aty)
% Number of variables : 678 ( 0 sgn 484 !; 194 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X0,X8,X9) = a_select3(X0,X9,X8) )
& ! [X8,X9] :
( ( leq(X9,X7)
& leq(n0,X9)
& leq(X8,X7)
& leq(n0,X8) )
=> a_select3(X3,X8,X9) = a_select3(X3,X9,X8) ) )
=> ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_joseph_update) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f53,conjecture,
( ( ! [X6] :
( ( leq(X6,minus(n6,n1))
& leq(n0,X6) )
=> ! [X7] :
( ( leq(X7,minus(n6,n1))
& leq(n0,X7) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X46] :
( ( leq(X46,minus(n6,n1))
& leq(n0,X46) )
=> ! [X47] :
( ( leq(X47,minus(n6,n1))
& leq(n0,X47) )
=> a_select3(id_ds1_filter,X46,X47) = a_select3(id_ds1_filter,X47,X46) ) )
& ! [X44,X45] :
( ( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) )
& ! [X42,X43] :
( ( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) )
& ! [X40,X41] :
( ( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40) )
=> a_select3(r_ds1_filter,X40,X41) = a_select3(r_ds1_filter,X41,X40) )
& ! [X38,X39] :
( ( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38) )
=> a_select3(q_ds1_filter,X38,X39) = a_select3(q_ds1_filter,X39,X38) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X36] :
( ( leq(X36,minus(n6,n1))
& leq(n0,X36) )
=> ! [X37] :
( ( leq(X37,minus(n6,n1))
& leq(n0,X37) )
=> a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36) ) )
& ! [X34,X35] :
( ( leq(X35,minus(n6,n1))
& leq(X34,minus(n6,n1))
& leq(n0,X35)
& leq(n0,X34) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
& ! [X32,X33] :
( ( leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
& ! [X30,X31] :
( ( leq(X31,minus(n3,n1))
& leq(X30,minus(n3,n1))
& leq(n0,X31)
& leq(n0,X30) )
=> a_select3(r_ds1_filter,X30,X31) = a_select3(r_ds1_filter,X31,X30) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X26] :
( ( leq(X26,minus(n6,n1))
& leq(n0,X26) )
=> ! [X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26) ) )
& ! [X24,X25] :
( ( leq(X25,minus(n6,n1))
& leq(X24,minus(n6,n1))
& leq(n0,X25)
& leq(n0,X24) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
& ! [X22,X23] :
( ( leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
& ! [X20,X21] :
( ( leq(X21,minus(n3,n1))
& leq(X20,minus(n3,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(r_ds1_filter,X20,X21) = a_select3(r_ds1_filter,X21,X20) )
& ! [X18,X19] :
( ( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X16] :
( ( leq(X16,minus(n6,n1))
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X8,X9] :
( ( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0011) ).
fof(f54,negated_conjecture,
~ ( ( ! [X6] :
( ( leq(X6,minus(n6,n1))
& leq(n0,X6) )
=> ! [X7] :
( ( leq(X7,minus(n6,n1))
& leq(n0,X7) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X46] :
( ( leq(X46,minus(n6,n1))
& leq(n0,X46) )
=> ! [X47] :
( ( leq(X47,minus(n6,n1))
& leq(n0,X47) )
=> a_select3(id_ds1_filter,X46,X47) = a_select3(id_ds1_filter,X47,X46) ) )
& ! [X44,X45] :
( ( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) )
& ! [X42,X43] :
( ( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) )
& ! [X40,X41] :
( ( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40) )
=> a_select3(r_ds1_filter,X40,X41) = a_select3(r_ds1_filter,X41,X40) )
& ! [X38,X39] :
( ( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38) )
=> a_select3(q_ds1_filter,X38,X39) = a_select3(q_ds1_filter,X39,X38) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X36] :
( ( leq(X36,minus(n6,n1))
& leq(n0,X36) )
=> ! [X37] :
( ( leq(X37,minus(n6,n1))
& leq(n0,X37) )
=> a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36) ) )
& ! [X34,X35] :
( ( leq(X35,minus(n6,n1))
& leq(X34,minus(n6,n1))
& leq(n0,X35)
& leq(n0,X34) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
& ! [X32,X33] :
( ( leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
& ! [X30,X31] :
( ( leq(X31,minus(n3,n1))
& leq(X30,minus(n3,n1))
& leq(n0,X31)
& leq(n0,X30) )
=> a_select3(r_ds1_filter,X30,X31) = a_select3(r_ds1_filter,X31,X30) )
& ! [X28,X29] :
( ( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28) )
=> a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ! [X26] :
( ( leq(X26,minus(n6,n1))
& leq(n0,X26) )
=> ! [X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26) ) )
& ! [X24,X25] :
( ( leq(X25,minus(n6,n1))
& leq(X24,minus(n6,n1))
& leq(n0,X25)
& leq(n0,X24) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
& ! [X22,X23] :
( ( leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
& ! [X20,X21] :
( ( leq(X21,minus(n3,n1))
& leq(X20,minus(n3,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(r_ds1_filter,X20,X21) = a_select3(r_ds1_filter,X21,X20) )
& ! [X18,X19] :
( ( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) )
& ( ~ gt(pv5,n0)
=> ( ! [X16] :
( ( leq(X16,minus(n6,n1))
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10) )
& ! [X8,X9] :
( ( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f81,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X12,X13] :
( ( leq(X13,X6)
& leq(n0,X13)
& leq(X12,X6)
& leq(n0,X12) )
=> a_select3(X5,X12,X13) = a_select3(X5,X13,X12) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X8,X9] :
( ( leq(X9,X7)
& leq(n0,X9)
& leq(X8,X7)
& leq(n0,X8) )
=> a_select3(X3,X8,X9) = a_select3(X3,X9,X8) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f124]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X12,X13] :
( leq(X13,X6)
& leq(n0,X13)
& leq(X12,X6)
& leq(n0,X12)
& a_select3(X5,X12,X13) != a_select3(X5,X13,X12) )
| ? [X10,X11] :
( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10)
& a_select3(X0,X10,X11) != a_select3(X0,X11,X10) )
| ? [X8,X9] :
( leq(X9,X7)
& leq(n0,X9)
& leq(X8,X7)
& leq(n0,X8)
& a_select3(X3,X8,X9) != a_select3(X3,X9,X8) )
| ! [X14,X15] :
( ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(ennf_transformation,[],[f120]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X12,X13] :
( leq(X13,X6)
& leq(n0,X13)
& leq(X12,X6)
& leq(n0,X12)
& a_select3(X5,X12,X13) != a_select3(X5,X13,X12) )
| ? [X10,X11] :
( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10)
& a_select3(X0,X10,X11) != a_select3(X0,X11,X10) )
| ? [X8,X9] :
( leq(X9,X7)
& leq(n0,X9)
& leq(X8,X7)
& leq(n0,X8)
& a_select3(X3,X8,X9) != a_select3(X3,X9,X8) )
| ! [X14,X15] :
( ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(flattening,[],[f150]) ).
fof(f162,plain,
( ! [X6] :
( ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6)
| ! [X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X7)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( ( gt(pv5,n0)
& ( ( gt(pv5,n0)
& ( ? [X46] :
( leq(X46,minus(n6,n1))
& leq(n0,X46)
& ? [X47] :
( leq(X47,minus(n6,n1))
& leq(n0,X47)
& a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46) ) )
| ? [X44,X45] :
( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) )
| ? [X42,X43] :
( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) )
| ? [X40,X41] :
( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40)
& a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40) )
| ? [X38,X39] :
( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38)
& a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) )
| ( ~ gt(pv5,n0)
& ( ? [X36] :
( leq(X36,minus(n6,n1))
& leq(n0,X36)
& ? [X37] :
( leq(X37,minus(n6,n1))
& leq(n0,X37)
& a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36) ) )
| ? [X34,X35] :
( leq(X35,minus(n6,n1))
& leq(X34,minus(n6,n1))
& leq(n0,X35)
& leq(n0,X34)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
| ? [X32,X33] :
( leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
| ? [X30,X31] :
( leq(X31,minus(n3,n1))
& leq(X30,minus(n3,n1))
& leq(n0,X31)
& leq(n0,X30)
& a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30) )
| ? [X28,X29] :
( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28)
& a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) )
| ( ~ gt(pv5,n0)
& ( ( gt(pv5,n0)
& ( ? [X26] :
( leq(X26,minus(n6,n1))
& leq(n0,X26)
& ? [X27] :
( leq(X27,minus(n6,n1))
& leq(n0,X27)
& a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26) ) )
| ? [X24,X25] :
( leq(X25,minus(n6,n1))
& leq(X24,minus(n6,n1))
& leq(n0,X25)
& leq(n0,X24)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
| ? [X22,X23] :
( leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
| ? [X20,X21] :
( leq(X21,minus(n3,n1))
& leq(X20,minus(n3,n1))
& leq(n0,X21)
& leq(n0,X20)
& a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20) )
| ? [X18,X19] :
( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) )
| ( ~ gt(pv5,n0)
& ( ? [X16] :
( leq(X16,minus(n6,n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10) )
| ? [X8,X9] :
( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f163,plain,
( ! [X6] :
( ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6)
| ! [X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X7)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( ( gt(pv5,n0)
& ( ( gt(pv5,n0)
& ( ? [X46] :
( leq(X46,minus(n6,n1))
& leq(n0,X46)
& ? [X47] :
( leq(X47,minus(n6,n1))
& leq(n0,X47)
& a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46) ) )
| ? [X44,X45] :
( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) )
| ? [X42,X43] :
( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) )
| ? [X40,X41] :
( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40)
& a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40) )
| ? [X38,X39] :
( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38)
& a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) )
| ( ~ gt(pv5,n0)
& ( ? [X36] :
( leq(X36,minus(n6,n1))
& leq(n0,X36)
& ? [X37] :
( leq(X37,minus(n6,n1))
& leq(n0,X37)
& a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36) ) )
| ? [X34,X35] :
( leq(X35,minus(n6,n1))
& leq(X34,minus(n6,n1))
& leq(n0,X35)
& leq(n0,X34)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) )
| ? [X32,X33] :
( leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) )
| ? [X30,X31] :
( leq(X31,minus(n3,n1))
& leq(X30,minus(n3,n1))
& leq(n0,X31)
& leq(n0,X30)
& a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30) )
| ? [X28,X29] :
( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28)
& a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) )
| ( ~ gt(pv5,n0)
& ( ( gt(pv5,n0)
& ( ? [X26] :
( leq(X26,minus(n6,n1))
& leq(n0,X26)
& ? [X27] :
( leq(X27,minus(n6,n1))
& leq(n0,X27)
& a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26) ) )
| ? [X24,X25] :
( leq(X25,minus(n6,n1))
& leq(X24,minus(n6,n1))
& leq(n0,X25)
& leq(n0,X24)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) )
| ? [X22,X23] :
( leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) )
| ? [X20,X21] :
( leq(X21,minus(n3,n1))
& leq(X20,minus(n3,n1))
& leq(n0,X21)
& leq(n0,X20)
& a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20) )
| ? [X18,X19] :
( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) )
| ( ~ gt(pv5,n0)
& ( ? [X16] :
( leq(X16,minus(n6,n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10) )
| ? [X8,X9] :
( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ) ),
inference(flattening,[],[f162]) ).
fof(f205,plain,
! [X0,X1] :
( ( ~ leq(X0,pred(X1))
| gt(X1,X0) )
& ( ~ gt(X1,X0)
| leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f227,plain,
! [X0,X6] :
( ~ sP3(X0,X6)
| ? [X10,X11] :
( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10)
& a_select3(X0,X10,X11) != a_select3(X0,X11,X10) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f228,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ? [X2,X3] :
( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2)
& a_select3(X0,X2,X3) != a_select3(X0,X3,X2) ) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ( leq(sK42(X0,X1),X1)
& leq(n0,sK42(X0,X1))
& leq(sK41(X0,X1),X1)
& leq(n0,sK41(X0,X1))
& a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42]),skolemize(X2,sK41(X0,X1)),skolemize(X3,sK42(X0,X1))],[f228]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP2(X5,X6)
| sP3(X0,X6)
| ? [X10,X11] :
( leq(X11,X7)
& leq(n0,X11)
& leq(X10,X7)
& leq(n0,X10)
& a_select3(X3,X10,X11) != a_select3(X3,X11,X10) )
| ! [X8,X9] :
( ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ) ),
inference(rectify,[],[f184]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP2(X5,X6)
| sP3(X0,X6)
| ( leq(sK46(X3,X7),X7)
& leq(n0,sK46(X3,X7))
& leq(sK45(X3,X7),X7)
& leq(n0,sK45(X3,X7))
& a_select3(X3,sK45(X3,X7),sK46(X3,X7)) != a_select3(X3,sK46(X3,X7),sK45(X3,X7)) )
| ! [X8,X9] :
( ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X10,sK45(X3,X7)),skolemize(X11,sK46(X3,X7))],[f233]) ).
fof(f238,plain,
( ~ sP22
| ( gt(pv5,n0)
& ( sP12
| ( ~ gt(pv5,n0)
& ( sP8
| sP9
| sP10
| sP11
| ? [X28,X29] :
( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28)
& a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ),
inference(nnf_transformation,[],[f203]) ).
fof(f239,plain,
( ~ sP22
| ( gt(pv5,n0)
& ( sP12
| ( ~ gt(pv5,n0)
& ( sP8
| sP9
| sP10
| sP11
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ),
inference(rectify,[],[f238]) ).
fof(f240,plain,
( ~ sP22
| ( gt(pv5,n0)
& ( sP12
| ( ~ gt(pv5,n0)
& ( sP8
| sP9
| sP10
| sP11
| ( leq(sK51,minus(n6,n1))
& leq(sK50,minus(n6,n1))
& leq(n0,sK51)
& leq(n0,sK50)
& a_select3(q_ds1_filter,sK50,sK51) != a_select3(q_ds1_filter,sK51,sK50) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51]),skolemize(X0,sK50),skolemize(X1,sK51)],[f239]) ).
fof(f241,plain,
( ~ sP21
| ( gt(pv5,n0)
& ( sP13
| sP14
| sP15
| sP16
| ? [X18,X19] :
( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f242,plain,
( ~ sP21
| ( gt(pv5,n0)
& ( sP13
| sP14
| sP15
| sP16
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
( ~ sP21
| ( gt(pv5,n0)
& ( sP13
| sP14
| sP15
| sP16
| ( leq(sK53,minus(n6,n1))
& leq(sK52,minus(n6,n1))
& leq(n0,sK53)
& leq(n0,sK52)
& a_select3(q_ds1_filter,sK52,sK53) != a_select3(q_ds1_filter,sK53,sK52) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53]),skolemize(X0,sK52),skolemize(X1,sK53)],[f242]) ).
fof(f244,plain,
( ~ sP20
| ? [X10,X11] :
( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10) ) ),
inference(nnf_transformation,[],[f201]) ).
fof(f245,plain,
( ~ sP20
| ? [X0,X1] :
( leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f244]) ).
fof(f246,plain,
( ~ sP20
| ( leq(sK55,minus(n3,n1))
& leq(sK54,minus(n3,n1))
& leq(n0,sK55)
& leq(n0,sK54)
& a_select3(r_ds1_filter,sK54,sK55) != a_select3(r_ds1_filter,sK55,sK54) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X0,sK54),skolemize(X1,sK55)],[f245]) ).
fof(f247,plain,
( ~ sP19
| ? [X12,X13] :
( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) ) ),
inference(nnf_transformation,[],[f200]) ).
fof(f248,plain,
( ~ sP19
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X0,X1) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X1,X0) ) ),
inference(rectify,[],[f247]) ).
fof(f249,plain,
( ~ sP19
| ( leq(sK57,minus(n6,n1))
& leq(sK56,minus(n6,n1))
& leq(n0,sK57)
& leq(n0,sK56)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57]),skolemize(X0,sK56),skolemize(X1,sK57)],[f248]) ).
fof(f250,plain,
( ~ sP18
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) ) ),
inference(nnf_transformation,[],[f199]) ).
fof(f251,plain,
( ~ sP18
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X0,X1) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X1,X0) ) ),
inference(rectify,[],[f250]) ).
fof(f252,plain,
( ~ sP18
| ( leq(sK59,minus(n6,n1))
& leq(sK58,minus(n6,n1))
& leq(n0,sK59)
& leq(n0,sK58)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X0,sK58),skolemize(X1,sK59)],[f251]) ).
fof(f253,plain,
( ~ sP17
| ? [X16] :
( leq(X16,minus(n6,n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ) ),
inference(nnf_transformation,[],[f198]) ).
fof(f254,plain,
( ~ sP17
| ? [X0] :
( leq(X0,minus(n6,n1))
& leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ) ),
inference(rectify,[],[f253]) ).
fof(f255,plain,
( ~ sP17
| ( leq(sK60,minus(n6,n1))
& leq(n0,sK60)
& leq(sK61,minus(n6,n1))
& leq(n0,sK61)
& a_select3(id_ds1_filter,sK60,sK61) != a_select3(id_ds1_filter,sK61,sK60) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61]),skolemize(X0,sK60),skolemize(X1,sK61)],[f254]) ).
fof(f268,plain,
( ~ sP12
| ( gt(pv5,n0)
& ( sP4
| sP5
| sP6
| sP7
| ? [X38,X39] :
( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38)
& a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f269,plain,
( ~ sP12
| ( gt(pv5,n0)
& ( sP4
| sP5
| sP6
| sP7
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(rectify,[],[f268]) ).
fof(f270,plain,
( ~ sP12
| ( gt(pv5,n0)
& ( sP4
| sP5
| sP6
| sP7
| ( leq(sK71,minus(n6,n1))
& leq(sK70,minus(n6,n1))
& leq(n0,sK71)
& leq(n0,sK70)
& a_select3(q_ds1_filter,sK70,sK71) != a_select3(q_ds1_filter,sK71,sK70) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X0,sK70),skolemize(X1,sK71)],[f269]) ).
fof(f283,plain,
( ~ sP7
| ? [X40,X41] :
( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40)
& a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40) ) ),
inference(nnf_transformation,[],[f188]) ).
fof(f284,plain,
( ~ sP7
| ? [X0,X1] :
( leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f283]) ).
fof(f285,plain,
( ~ sP7
| ( leq(sK81,minus(n3,n1))
& leq(sK80,minus(n3,n1))
& leq(n0,sK81)
& leq(n0,sK80)
& a_select3(r_ds1_filter,sK80,sK81) != a_select3(r_ds1_filter,sK81,sK80) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X0,sK80),skolemize(X1,sK81)],[f284]) ).
fof(f286,plain,
( ~ sP6
| ? [X42,X43] :
( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) ) ),
inference(nnf_transformation,[],[f187]) ).
fof(f287,plain,
( ~ sP6
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X0,X1) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X1,X0) ) ),
inference(rectify,[],[f286]) ).
fof(f288,plain,
( ~ sP6
| ( leq(sK83,minus(n6,n1))
& leq(sK82,minus(n6,n1))
& leq(n0,sK83)
& leq(n0,sK82)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83]),skolemize(X0,sK82),skolemize(X1,sK83)],[f287]) ).
fof(f289,plain,
( ~ sP5
| ? [X44,X45] :
( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) ) ),
inference(nnf_transformation,[],[f186]) ).
fof(f290,plain,
( ~ sP5
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X0,X1) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X1,X0) ) ),
inference(rectify,[],[f289]) ).
fof(f291,plain,
( ~ sP5
| ( leq(sK85,minus(n6,n1))
& leq(sK84,minus(n6,n1))
& leq(n0,sK85)
& leq(n0,sK84)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84,sK85]),skolemize(X0,sK84),skolemize(X1,sK85)],[f290]) ).
fof(f295,plain,
( ! [X8] :
( ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP22
| ( ~ gt(pv5,n0)
& ( sP21
| ( ~ gt(pv5,n0)
& ( sP17
| sP18
| sP19
| sP20
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ) ),
inference(rectify,[],[f204]) ).
fof(f296,plain,
( ! [X8] :
( ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP22
| ( ~ gt(pv5,n0)
& ( sP21
| ( ~ gt(pv5,n0)
& ( sP17
| sP18
| sP19
| sP20
| ( leq(sK89,minus(n6,n1))
& leq(sK88,minus(n6,n1))
& leq(n0,sK89)
& leq(n0,sK88)
& a_select3(q_ds1_filter,sK88,sK89) != a_select3(q_ds1_filter,sK89,sK88) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88,sK89]),skolemize(X0,sK88),skolemize(X1,sK89)],[f295]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f305,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f359,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| leq(sK42(X0,X1),X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f360,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| leq(n0,sK42(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f361,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| leq(sK41(X0,X1),X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f362,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| leq(n0,sK41(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f363,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP2(X5,X6)
| sP3(X0,X6)
| leq(sK46(X3,X7),X7)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ),
inference(cnf_transformation,[],[f234]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP2(X5,X6)
| sP3(X0,X6)
| leq(n0,sK46(X3,X7))
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ),
inference(cnf_transformation,[],[f234]) ).
fof(f371,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP2(X5,X6)
| sP3(X0,X6)
| leq(sK45(X3,X7),X7)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ),
inference(cnf_transformation,[],[f234]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP2(X5,X6)
| sP3(X0,X6)
| leq(n0,sK45(X3,X7))
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ),
inference(cnf_transformation,[],[f234]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP2(X5,X6)
| sP3(X0,X6)
| a_select3(X3,sK45(X3,X7),sK46(X3,X7)) != a_select3(X3,sK46(X3,X7),sK45(X3,X7))
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8) ),
inference(cnf_transformation,[],[f234]) ).
fof(f387,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f407,plain,
( ~ sP22
| gt(pv5,n0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f408,plain,
( ~ sP22
| sP12
| ~ gt(pv5,n0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f414,plain,
( ~ sP21
| gt(pv5,n0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f420,plain,
( ~ sP20
| leq(sK55,minus(n3,n1)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f421,plain,
( ~ sP20
| leq(sK54,minus(n3,n1)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f422,plain,
( ~ sP20
| leq(n0,sK55) ),
inference(cnf_transformation,[],[f246]) ).
fof(f423,plain,
( ~ sP20
| leq(n0,sK54) ),
inference(cnf_transformation,[],[f246]) ).
fof(f424,plain,
( ~ sP20
| a_select3(r_ds1_filter,sK54,sK55) != a_select3(r_ds1_filter,sK55,sK54) ),
inference(cnf_transformation,[],[f246]) ).
fof(f425,plain,
( ~ sP19
| leq(sK57,minus(n6,n1)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f426,plain,
( ~ sP19
| leq(sK56,minus(n6,n1)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f427,plain,
( ~ sP19
| leq(n0,sK57) ),
inference(cnf_transformation,[],[f249]) ).
fof(f428,plain,
( ~ sP19
| leq(n0,sK56) ),
inference(cnf_transformation,[],[f249]) ).
fof(f429,plain,
( ~ sP19
| a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) ),
inference(cnf_transformation,[],[f249]) ).
fof(f430,plain,
( ~ sP18
| leq(sK59,minus(n6,n1)) ),
inference(cnf_transformation,[],[f252]) ).
fof(f431,plain,
( ~ sP18
| leq(sK58,minus(n6,n1)) ),
inference(cnf_transformation,[],[f252]) ).
fof(f432,plain,
( ~ sP18
| leq(n0,sK59) ),
inference(cnf_transformation,[],[f252]) ).
fof(f433,plain,
( ~ sP18
| leq(n0,sK58) ),
inference(cnf_transformation,[],[f252]) ).
fof(f434,plain,
( ~ sP18
| a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) ),
inference(cnf_transformation,[],[f252]) ).
fof(f435,plain,
( ~ sP17
| leq(sK60,minus(n6,n1)) ),
inference(cnf_transformation,[],[f255]) ).
fof(f436,plain,
( ~ sP17
| leq(n0,sK60) ),
inference(cnf_transformation,[],[f255]) ).
fof(f437,plain,
( ~ sP17
| leq(sK61,minus(n6,n1)) ),
inference(cnf_transformation,[],[f255]) ).
fof(f438,plain,
( ~ sP17
| leq(n0,sK61) ),
inference(cnf_transformation,[],[f255]) ).
fof(f439,plain,
( ~ sP17
| a_select3(id_ds1_filter,sK60,sK61) != a_select3(id_ds1_filter,sK61,sK60) ),
inference(cnf_transformation,[],[f255]) ).
fof(f461,plain,
( ~ sP12
| sP4
| sP5
| sP6
| sP7
| leq(sK71,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f270]) ).
fof(f462,plain,
( ~ sP12
| sP4
| sP5
| sP6
| sP7
| leq(sK70,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f270]) ).
fof(f463,plain,
( ~ sP12
| sP4
| sP5
| sP6
| sP7
| leq(n0,sK71)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f270]) ).
fof(f464,plain,
( ~ sP12
| sP4
| sP5
| sP6
| sP7
| leq(n0,sK70)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f270]) ).
fof(f465,plain,
( ~ sP12
| sP4
| sP5
| sP6
| sP7
| a_select3(q_ds1_filter,sK70,sK71) != a_select3(q_ds1_filter,sK71,sK70)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f270]) ).
fof(f486,plain,
( ~ sP7
| leq(sK81,minus(n3,n1)) ),
inference(cnf_transformation,[],[f285]) ).
fof(f487,plain,
( ~ sP7
| leq(sK80,minus(n3,n1)) ),
inference(cnf_transformation,[],[f285]) ).
fof(f488,plain,
( ~ sP7
| leq(n0,sK81) ),
inference(cnf_transformation,[],[f285]) ).
fof(f489,plain,
( ~ sP7
| leq(n0,sK80) ),
inference(cnf_transformation,[],[f285]) ).
fof(f490,plain,
( ~ sP7
| a_select3(r_ds1_filter,sK80,sK81) != a_select3(r_ds1_filter,sK81,sK80) ),
inference(cnf_transformation,[],[f285]) ).
fof(f491,plain,
( ~ sP6
| leq(sK83,minus(n6,n1)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f492,plain,
( ~ sP6
| leq(sK82,minus(n6,n1)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f493,plain,
( ~ sP6
| leq(n0,sK83) ),
inference(cnf_transformation,[],[f288]) ).
fof(f494,plain,
( ~ sP6
| leq(n0,sK82) ),
inference(cnf_transformation,[],[f288]) ).
fof(f495,plain,
( ~ sP6
| a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) ),
inference(cnf_transformation,[],[f288]) ).
fof(f496,plain,
( ~ sP5
| leq(sK85,minus(n6,n1)) ),
inference(cnf_transformation,[],[f291]) ).
fof(f497,plain,
( ~ sP5
| leq(sK84,minus(n6,n1)) ),
inference(cnf_transformation,[],[f291]) ).
fof(f498,plain,
( ~ sP5
| leq(n0,sK85) ),
inference(cnf_transformation,[],[f291]) ).
fof(f499,plain,
( ~ sP5
| leq(n0,sK84) ),
inference(cnf_transformation,[],[f291]) ).
fof(f500,plain,
( ~ sP5
| a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) ),
inference(cnf_transformation,[],[f291]) ).
fof(f506,plain,
! [X8,X9] :
( ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f296]) ).
fof(f512,plain,
( sP22
| ~ gt(pv5,n0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f514,plain,
( sP22
| sP21
| sP17
| sP18
| sP19
| sP20
| leq(sK89,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f515,plain,
( sP22
| sP21
| sP17
| sP18
| sP19
| sP20
| leq(sK88,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f516,plain,
( sP22
| sP21
| sP17
| sP18
| sP19
| sP20
| leq(n0,sK89)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f517,plain,
( sP22
| sP21
| sP17
| sP18
| sP19
| sP20
| leq(n0,sK88)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f518,plain,
( sP22
| sP21
| sP17
| sP18
| sP19
| sP20
| a_select3(q_ds1_filter,sK88,sK89) != a_select3(q_ds1_filter,sK89,sK88)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f545,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f81]) ).
fof(f577,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f305,f387]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( leq(X1,minus(X0,n1))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| ( a_select3(X0,sK41(X0,X1),sK42(X0,X1)) != a_select3(X0,sK42(X0,X1),sK41(X0,X1)) ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( leq(n0,sK41(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( leq(sK41(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( leq(n0,sK42(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( leq(sK42(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP2(X9,X3)
| sP3(X5,X3)
| ( a_select3(tptp_madd(X5,tptp_mmul(X6,tptp_mmul(tptp_madd(tptp_mmul(X7,tptp_mmul(X0,trans(X7))),tptp_mmul(X8,tptp_mmul(X9,trans(X8)))),trans(X6)))),X2,X4) = a_select3(tptp_madd(X5,tptp_mmul(X6,tptp_mmul(tptp_madd(tptp_mmul(X7,tptp_mmul(X0,trans(X7))),tptp_mmul(X8,tptp_mmul(X9,trans(X8)))),trans(X6)))),X4,X2) )
| ~ leq(n0,X4)
| ~ leq(n0,X2)
| ~ leq(X4,X3)
| ~ leq(X2,X3)
| ( a_select3(X0,sK45(X0,X1),sK46(X0,X1)) != a_select3(X0,sK46(X0,X1),sK45(X0,X1)) ) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP2(X8,X1)
| sP3(X3,X1)
| leq(n0,sK45(X6,X9))
| ( a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0) )
| ~ leq(n0,X2)
| ~ leq(n0,X0)
| ~ leq(X2,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP2(X8,X1)
| sP3(X3,X1)
| leq(sK45(X6,X9),X9)
| ( a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0) )
| ~ leq(n0,X2)
| ~ leq(n0,X0)
| ~ leq(X2,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP2(X8,X1)
| sP3(X3,X1)
| leq(n0,sK46(X6,X9))
| ( a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0) )
| ~ leq(n0,X2)
| ~ leq(n0,X0)
| ~ leq(X2,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP2(X8,X1)
| sP3(X3,X1)
| leq(sK46(X6,X9),X9)
| ( a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0) )
| ~ leq(n0,X2)
| ~ leq(n0,X0)
| ~ leq(X2,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_162,plain,
( sP12
| ~ sP22
| ~ gt(pv5,n0) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_163,plain,
( gt(pv5,n0)
| ~ sP22 ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_169,plain,
( gt(pv5,n0)
| ~ sP21 ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_170,plain,
( ~ sP20
| ( a_select3(r_ds1_filter,sK54,sK55) != a_select3(r_ds1_filter,sK55,sK54) ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_171,plain,
( leq(n0,sK54)
| ~ sP20 ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_172,plain,
( leq(n0,sK55)
| ~ sP20 ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_173,plain,
( leq(sK54,minus(n3,n1))
| ~ sP20 ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_174,plain,
( leq(sK55,minus(n3,n1))
| ~ sP20 ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_175,plain,
( ~ sP19
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) ) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_176,plain,
( leq(n0,sK56)
| ~ sP19 ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_177,plain,
( leq(n0,sK57)
| ~ sP19 ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_178,plain,
( leq(sK56,minus(n6,n1))
| ~ sP19 ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_179,plain,
( leq(sK57,minus(n6,n1))
| ~ sP19 ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_180,plain,
( ~ sP18
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) ) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_181,plain,
( leq(n0,sK58)
| ~ sP18 ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_182,plain,
( leq(n0,sK59)
| ~ sP18 ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_183,plain,
( leq(sK58,minus(n6,n1))
| ~ sP18 ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_184,plain,
( leq(sK59,minus(n6,n1))
| ~ sP18 ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_185,plain,
( ~ sP17
| ( a_select3(id_ds1_filter,sK60,sK61) != a_select3(id_ds1_filter,sK61,sK60) ) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_186,plain,
( leq(n0,sK61)
| ~ sP17 ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_187,plain,
( leq(sK61,minus(n6,n1))
| ~ sP17 ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_188,plain,
( leq(n0,sK60)
| ~ sP17 ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_189,plain,
( leq(sK60,minus(n6,n1))
| ~ sP17 ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_210,plain,
( sP4
| sP5
| sP6
| sP7
| ~ sP12
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK70,sK71) != a_select3(q_ds1_filter,sK71,sK70) ) ),
inference(cnf_transformation,[],[f465]) ).
tcf(c_211,plain,
( sP4
| sP5
| sP6
| sP7
| leq(n0,sK70)
| ~ sP12
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_212,plain,
( sP4
| sP5
| sP6
| sP7
| leq(n0,sK71)
| ~ sP12
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_213,plain,
( sP4
| sP5
| sP6
| sP7
| leq(sK70,minus(n6,n1))
| ~ sP12
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_214,plain,
( sP4
| sP5
| sP6
| sP7
| leq(sK71,minus(n6,n1))
| ~ sP12
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_236,plain,
( ~ sP7
| ( a_select3(r_ds1_filter,sK80,sK81) != a_select3(r_ds1_filter,sK81,sK80) ) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_237,plain,
( leq(n0,sK80)
| ~ sP7 ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_238,plain,
( leq(n0,sK81)
| ~ sP7 ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_239,plain,
( leq(sK80,minus(n3,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_240,plain,
( leq(sK81,minus(n3,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_241,plain,
( ~ sP6
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) ) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_242,plain,
( leq(n0,sK82)
| ~ sP6 ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_243,plain,
( leq(n0,sK83)
| ~ sP6 ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_244,plain,
( leq(sK82,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_245,plain,
( leq(sK83,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_246,plain,
( ~ sP5
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_247,plain,
( leq(n0,sK84)
| ~ sP5 ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_248,plain,
( leq(n0,sK85)
| ~ sP5 ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_249,plain,
( leq(sK84,minus(n6,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_250,plain,
( leq(sK85,minus(n6,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_256,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK88,sK89) != a_select3(q_ds1_filter,sK89,sK88) ) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_257,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| leq(n0,sK88)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_258,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| leq(n0,sK89)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_259,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| leq(sK88,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_260,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| leq(sK89,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_262,negated_conjecture,
( sP22
| ~ gt(pv5,n0) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_263,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f511]) ).
tcf(c_264,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f510]) ).
tcf(c_265,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_266,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_267,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f507]) ).
tcf(c_268,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_295,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f545]) ).
tcf(c_425,plain,
( sP17
| sP18
| sP19
| sP20
| leq(n0,sK89)
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_258,c_263,c_264,c_262,c_169,c_258]) ).
tcf(c_426,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22
| leq(n0,sK89) ),
inference(renaming,[status(thm)],[c_425]) ).
tcf(c_427,plain,
( sP17
| sP18
| sP19
| sP20
| leq(n0,sK88)
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_257,c_263,c_264,c_262,c_169,c_257]) ).
tcf(c_428,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22
| leq(n0,sK88) ),
inference(renaming,[status(thm)],[c_427]) ).
tcf(c_441,plain,
( sP17
| sP18
| sP19
| sP20
| leq(sK89,minus(n6,n1))
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_260,c_263,c_264,c_262,c_169,c_260]) ).
tcf(c_442,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22
| leq(sK89,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_441]) ).
tcf(c_443,plain,
( sP17
| sP18
| sP19
| sP20
| leq(sK88,minus(n6,n1))
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_259,c_263,c_264,c_262,c_169,c_259]) ).
tcf(c_444,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22
| leq(sK88,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_443]) ).
tcf(c_445,plain,
( sP4
| sP5
| sP6
| sP7
| leq(sK71,minus(n6,n1))
| ~ sP12 ),
inference(global_subsumption_just,[status(thm)],[c_214,c_263,c_264,c_214]) ).
tcf(c_447,plain,
( sP4
| sP5
| sP6
| sP7
| leq(sK70,minus(n6,n1))
| ~ sP12 ),
inference(global_subsumption_just,[status(thm)],[c_213,c_263,c_264,c_213]) ).
tcf(c_457,plain,
( sP17
| sP18
| sP19
| sP20
| ( a_select3(q_ds1_filter,sK88,sK89) != a_select3(q_ds1_filter,sK89,sK88) )
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_256,c_263,c_264,c_262,c_169,c_256]) ).
tcf(c_458,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22
| ( a_select3(q_ds1_filter,sK88,sK89) != a_select3(q_ds1_filter,sK89,sK88) ) ),
inference(renaming,[status(thm)],[c_457]) ).
tcf(c_459,plain,
( sP4
| sP5
| sP6
| sP7
| ~ sP12
| ( a_select3(q_ds1_filter,sK70,sK71) != a_select3(q_ds1_filter,sK71,sK70) ) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_263,c_264,c_210]) ).
tcf(c_5537,plain,
( leq(n0,minus(n3,n1))
| ~ gt(n3,n0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5834,plain,
( ( a_select3(id_ds1_filter,sK60,sK61) = a_select3(id_ds1_filter,sK61,sK60) )
| ~ leq(n0,sK61)
| ~ leq(n0,sK60)
| ~ leq(sK61,minus(n6,n1))
| ~ leq(sK60,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_5892,plain,
( leq(n0,sK89)
| sP22
| sP20
| sP19
| sP18 ),
inference(global_subsumption_just,[status(thm)],[c_426,c_188,c_186,c_189,c_187,c_185,c_426,c_5834]) ).
tcf(c_5893,negated_conjecture,
( sP18
| sP19
| sP20
| sP22
| leq(n0,sK89) ),
inference(renaming,[status(thm)],[c_5892]) ).
tcf(c_6047,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK46(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,X0)
| ~ leq(sK58,X0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_6048,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK46(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,X0)
| ~ leq(sK58,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_6049,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK45(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,X0)
| ~ leq(sK58,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_6050,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK45(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,X0)
| ~ leq(sK58,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6168,plain,
( ( a_select3(id_ds1_filter,sK86,sK87) = a_select3(id_ds1_filter,sK87,sK86) )
| ~ leq(n0,sK87)
| ~ leq(n0,sK86)
| ~ leq(sK87,minus(n6,n1))
| ~ leq(sK86,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X1)
| sP3(q_ds1_filter,X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,X1)
| ~ leq(sK56,X1)
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_6187,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK46(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,X0)
| ~ leq(sK56,X0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_6188,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK46(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,X0)
| ~ leq(sK56,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK45(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,X0)
| ~ leq(sK56,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK45(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,X0)
| ~ leq(sK56,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6533,plain,
( ( a_select3(r_ds1_filter,sK54,sK55) = a_select3(r_ds1_filter,sK55,sK54) )
| ~ leq(n0,sK55)
| ~ leq(n0,sK54)
| ~ leq(sK55,minus(n3,n1))
| ~ leq(sK54,minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_7305,plain,
( sP18
| sP19
| leq(n0,sK89)
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_5893,c_172,c_171,c_174,c_173,c_170,c_5893,c_6533]) ).
tcf(c_7306,negated_conjecture,
( sP18
| sP19
| sP22
| leq(n0,sK89) ),
inference(renaming,[status(thm)],[c_7305]) ).
tcf(c_8797,plain,
( ( a_select3(q_ds1_filter,sK88,sK89) = a_select3(q_ds1_filter,sK89,sK88) )
| ~ leq(n0,sK89)
| ~ leq(n0,sK88)
| ~ leq(sK89,minus(n6,n1))
| ~ leq(sK88,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_10575,negated_conjecture,
( sP17
| sP18
| sP19
| sP20
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_428,c_188,c_186,c_172,c_171,c_189,c_187,c_174,c_173,c_185,c_170,c_428,c_442,c_444,c_458,c_5834,c_6533,c_7306,c_8797]) ).
tcf(c_10577,negated_conjecture,
( sP17
| sP18
| sP19
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_10575,c_188,c_186,c_172,c_171,c_189,c_187,c_174,c_173,c_185,c_170,c_5834,c_6533,c_10575]) ).
tcf(c_10579,plain,
( sP22
| sP19
| sP18 ),
inference(global_subsumption_just,[status(thm)],[c_10577,c_188,c_186,c_189,c_187,c_185,c_5834,c_10577]) ).
tcf(c_10580,negated_conjecture,
( sP18
| sP19
| sP22 ),
inference(renaming,[status(thm)],[c_10579]) ).
tcf(c_22538,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) = a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) )
| ~ leq(n0,sK46(r_ds1_filter,X0))
| ~ leq(n0,sK45(r_ds1_filter,X0))
| ~ leq(sK46(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(sK45(r_ds1_filter,X0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_22539,plain,
( ( a_select3(r_ds1_filter,sK45(r_ds1_filter,n0),sK46(r_ds1_filter,n0)) = a_select3(r_ds1_filter,sK46(r_ds1_filter,n0),sK45(r_ds1_filter,n0)) )
| ~ leq(n0,sK46(r_ds1_filter,n0))
| ~ leq(n0,sK45(r_ds1_filter,n0))
| ~ leq(sK46(r_ds1_filter,n0),minus(n3,n1))
| ~ leq(sK45(r_ds1_filter,n0),minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_22538]) ).
tcf(c_23391,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6047]) ).
tcf(c_23392,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_23391]) ).
tcf(c_23456,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6048]) ).
tcf(c_23457,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_23456]) ).
tcf(c_23521,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6049]) ).
tcf(c_23522,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_23521]) ).
tcf(c_23586,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6050]) ).
tcf(c_23587,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_23586]) ).
tcf(c_30974,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_6185]) ).
tcf(c_30975,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,n0),sK46(r_ds1_filter,n0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,n0),sK45(r_ds1_filter,n0)) ) ),
inference(instantiation,[status(thm)],[c_30974]) ).
tcf(c_31072,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6187]) ).
tcf(c_31073,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_31072]) ).
tcf(c_31170,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6188]) ).
tcf(c_31171,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_31170]) ).
tcf(c_31268,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6189]) ).
tcf(c_31269,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_31268]) ).
tcf(c_31366,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_6190]) ).
tcf(c_31367,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK56,sK57) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK57,sK56) )
| ~ leq(n0,sK57)
| ~ leq(n0,sK56)
| ~ leq(sK57,minus(n6,n1))
| ~ leq(sK56,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_31366]) ).
tcf(c_35633,plain,
( ( a_select3(r_ds1_filter,sK80,sK81) = a_select3(r_ds1_filter,sK81,sK80) )
| ~ leq(n0,sK81)
| ~ leq(n0,sK80)
| ~ leq(sK81,minus(n3,n1))
| ~ leq(sK80,minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_36082,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,minus(X1,n1))
| ~ leq(X2,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_36203,plain,
( ( a_select3(q_ds1_filter,sK70,sK71) = a_select3(q_ds1_filter,sK71,sK70) )
| ~ leq(n0,sK71)
| ~ leq(n0,sK70)
| ~ leq(sK71,minus(n6,n1))
| ~ leq(sK70,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_36306,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X1)
| sP3(q_ds1_filter,X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,X1)
| ~ leq(sK84,X1)
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_36307,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK46(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,X0)
| ~ leq(sK84,X0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_36308,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK46(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,X0)
| ~ leq(sK84,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_36309,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK45(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,X0)
| ~ leq(sK84,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_36310,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK45(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,X0)
| ~ leq(sK84,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_36503,plain,
! [X0: $i] :
( leq(X0,minus(n3,n1))
| ~ leq(X0,n0)
| ~ leq(n0,minus(n3,n1)) ),
inference(instantiation,[status(thm)],[c_36082]) ).
tcf(c_39375,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_36306]) ).
tcf(c_39376,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,n0),sK46(r_ds1_filter,n0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,n0),sK45(r_ds1_filter,n0)) ) ),
inference(instantiation,[status(thm)],[c_39375]) ).
tcf(c_39400,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_36307]) ).
tcf(c_39401,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_39400]) ).
tcf(c_39423,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_36308]) ).
tcf(c_39424,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_39423]) ).
tcf(c_39448,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_36309]) ).
tcf(c_39449,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_39448]) ).
tcf(c_39471,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_36310]) ).
tcf(c_39472,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK84,sK85) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK85,sK84) )
| ~ leq(n0,sK85)
| ~ leq(n0,sK84)
| ~ leq(sK85,minus(n6,n1))
| ~ leq(sK84,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_39471]) ).
tcf(c_42874,plain,
( leq(sK42(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP3(q_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_42875,plain,
( leq(n0,sK42(q_ds1_filter,minus(n6,n1)))
| ~ sP3(q_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_42876,plain,
( leq(sK41(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP3(q_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_42877,plain,
( leq(n0,sK41(q_ds1_filter,minus(n6,n1)))
| ~ sP3(q_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_42878,plain,
( ~ sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(q_ds1_filter,sK41(q_ds1_filter,minus(n6,n1)),sK42(q_ds1_filter,minus(n6,n1))) != a_select3(q_ds1_filter,sK42(q_ds1_filter,minus(n6,n1)),sK41(q_ds1_filter,minus(n6,n1))) ) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_52150,plain,
! [X0: $i] :
( leq(sK46(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(n0,minus(n3,n1))
| ~ leq(sK46(r_ds1_filter,X0),n0) ),
inference(instantiation,[status(thm)],[c_36503]) ).
tcf(c_52151,plain,
( leq(sK46(r_ds1_filter,n0),minus(n3,n1))
| ~ leq(n0,minus(n3,n1))
| ~ leq(sK46(r_ds1_filter,n0),n0) ),
inference(instantiation,[status(thm)],[c_52150]) ).
tcf(c_53479,plain,
( ( a_select3(q_ds1_filter,sK41(q_ds1_filter,minus(n6,n1)),sK42(q_ds1_filter,minus(n6,n1))) = a_select3(q_ds1_filter,sK42(q_ds1_filter,minus(n6,n1)),sK41(q_ds1_filter,minus(n6,n1))) )
| ~ leq(n0,sK42(q_ds1_filter,minus(n6,n1)))
| ~ leq(n0,sK41(q_ds1_filter,minus(n6,n1)))
| ~ leq(sK42(q_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(sK41(q_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_54844,plain,
! [X0: $i] :
( leq(sK45(r_ds1_filter,X0),minus(n3,n1))
| ~ leq(n0,minus(n3,n1))
| ~ leq(sK45(r_ds1_filter,X0),n0) ),
inference(instantiation,[status(thm)],[c_36503]) ).
tcf(c_54845,plain,
( leq(sK45(r_ds1_filter,n0),minus(n3,n1))
| ~ leq(n0,minus(n3,n1))
| ~ leq(sK45(r_ds1_filter,n0),n0) ),
inference(instantiation,[status(thm)],[c_54844]) ).
tcf(c_58023,plain,
( ( a_select3(pminus_ds1_filter,sK43(pminus_ds1_filter,minus(n6,n1)),sK44(pminus_ds1_filter,minus(n6,n1))) = a_select3(pminus_ds1_filter,sK44(pminus_ds1_filter,minus(n6,n1)),sK43(pminus_ds1_filter,minus(n6,n1))) )
| ~ leq(n0,sK44(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(n0,sK43(pminus_ds1_filter,minus(n6,n1)))
| ~ leq(sK44(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ leq(sK43(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_59358,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X1)
| sP3(q_ds1_filter,X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,X1)
| ~ leq(sK82,X1)
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_59359,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK46(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,X0)
| ~ leq(sK82,X0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_59360,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK46(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,X0)
| ~ leq(sK82,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_59361,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(sK45(r_ds1_filter,X1),X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,X0)
| ~ leq(sK82,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_59362,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X0)
| sP3(q_ds1_filter,X0)
| leq(n0,sK45(r_ds1_filter,X1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,X0)
| ~ leq(sK82,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_61214,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_59360]) ).
tcf(c_61215,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK46(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_61214]) ).
tcf(c_63423,plain,
! [X0: $i,X1: $i] :
( sP2(pminus_ds1_filter,X1)
| sP3(q_ds1_filter,X1)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,X1)
| ~ leq(sK58,X1)
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_63516,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_59358]) ).
tcf(c_63517,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,n0),sK46(r_ds1_filter,n0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,n0),sK45(r_ds1_filter,n0)) ) ),
inference(instantiation,[status(thm)],[c_63516]) ).
tcf(c_68879,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,X0),sK46(r_ds1_filter,X0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,X0),sK45(r_ds1_filter,X0)) ) ),
inference(instantiation,[status(thm)],[c_63423]) ).
tcf(c_68880,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK58,sK59) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),sK59,sK58) )
| ~ leq(n0,sK59)
| ~ leq(n0,sK58)
| ~ leq(sK59,minus(n6,n1))
| ~ leq(sK58,minus(n6,n1))
| ( a_select3(r_ds1_filter,sK45(r_ds1_filter,n0),sK46(r_ds1_filter,n0)) != a_select3(r_ds1_filter,sK46(r_ds1_filter,n0),sK45(r_ds1_filter,n0)) ) ),
inference(instantiation,[status(thm)],[c_68879]) ).
tcf(c_78825,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,X0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_59362]) ).
tcf(c_78826,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(n0,sK45(r_ds1_filter,n0))
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_78825]) ).
tcf(c_84699,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_59359]) ).
tcf(c_84700,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK46(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_84699]) ).
tcf(c_89954,plain,
! [X0: $i] :
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,X0),X0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_59361]) ).
tcf(c_89955,plain,
( sP2(pminus_ds1_filter,minus(n6,n1))
| sP3(q_ds1_filter,minus(n6,n1))
| leq(sK45(r_ds1_filter,n0),n0)
| ( a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK82,sK83) = a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),sK83,sK82) )
| ~ leq(n0,sK83)
| ~ leq(n0,sK82)
| ~ leq(sK83,minus(n6,n1))
| ~ leq(sK82,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_89954]) ).
fof(f182,definition,
! [X5,X6] :
( ~ sP2(X5,X6)
| ? [X12,X13] :
( leq(X13,X6)
& leq(n0,X13)
& leq(X12,X6)
& leq(n0,X12)
& a_select3(X5,X12,X13) != a_select3(X5,X13,X12) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f183,definition,
! [X0,X6] :
( ~ sP3(X0,X6)
| ? [X10,X11] :
( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10)
& a_select3(X0,X10,X11) != a_select3(X0,X11,X10) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP2(X5,X6)
| sP3(X0,X6)
| ? [X8,X9] :
( leq(X9,X7)
& leq(n0,X9)
& leq(X8,X7)
& leq(n0,X8)
& a_select3(X3,X8,X9) != a_select3(X3,X9,X8) )
| ! [X14,X15] :
( ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(definition_folding,[],[f151,f183,f182]) ).
fof(f185,definition,
( ~ sP4
| ? [X46] :
( leq(X46,minus(n6,n1))
& leq(n0,X46)
& ? [X47] :
( leq(X47,minus(n6,n1))
& leq(n0,X47)
& a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f186,definition,
( ~ sP5
| ? [X44,X45] :
( leq(X45,minus(n6,n1))
& leq(X44,minus(n6,n1))
& leq(n0,X45)
& leq(n0,X44)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X44,X45) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X45,X44) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f187,definition,
( ~ sP6
| ? [X42,X43] :
( leq(X43,minus(n6,n1))
& leq(X42,minus(n6,n1))
& leq(n0,X43)
& leq(n0,X42)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X42,X43) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X43,X42) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f188,definition,
( ~ sP7
| ? [X40,X41] :
( leq(X41,minus(n3,n1))
& leq(X40,minus(n3,n1))
& leq(n0,X41)
& leq(n0,X40)
& a_select3(r_ds1_filter,X40,X41) != a_select3(r_ds1_filter,X41,X40) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f189,definition,
( ~ sP8
| ? [X36] :
( leq(X36,minus(n6,n1))
& leq(n0,X36)
& ? [X37] :
( leq(X37,minus(n6,n1))
& leq(n0,X37)
& a_select3(id_ds1_filter,X36,X37) != a_select3(id_ds1_filter,X37,X36) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f190,definition,
( ~ sP9
| ? [X34,X35] :
( leq(X35,minus(n6,n1))
& leq(X34,minus(n6,n1))
& leq(n0,X35)
& leq(n0,X34)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X34,X35) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X35,X34) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f191,definition,
( ~ sP10
| ? [X32,X33] :
( leq(X33,minus(n6,n1))
& leq(X32,minus(n6,n1))
& leq(n0,X33)
& leq(n0,X32)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X32,X33) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))),tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(phi_ds1_filter,n2,n1,times(minus(a_select3(xhatmin_ds1_filter,n3,n0),a_select3(u,n0,pv5)),divide(n1,n400))),n2,n0,times(minus(a_select3(u,n1,pv5),a_select3(xhatmin_ds1_filter,n4,n0)),divide(n1,n400))),n1,n2,times(minus(a_select3(u,n0,pv5),a_select3(xhatmin_ds1_filter,n3,n0)),divide(n1,n400))),n1,n0,times(minus(a_select3(xhatmin_ds1_filter,n5,n0),a_select3(u,n2,pv5)),divide(n1,n400))),n0,n2,times(minus(a_select3(xhatmin_ds1_filter,n4,n0),a_select3(u,n1,pv5)),divide(n1,n400))),n0,n1,times(minus(a_select3(u,n2,pv5),a_select3(xhatmin_ds1_filter,n5,n0)),divide(n1,n400))))))),X33,X32) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f192,definition,
( ~ sP11
| ? [X30,X31] :
( leq(X31,minus(n3,n1))
& leq(X30,minus(n3,n1))
& leq(n0,X31)
& leq(n0,X30)
& a_select3(r_ds1_filter,X30,X31) != a_select3(r_ds1_filter,X31,X30) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f193,definition,
( ~ sP12
| ( gt(pv5,n0)
& ( sP4
| sP5
| sP6
| sP7
| ? [X38,X39] :
( leq(X39,minus(n6,n1))
& leq(X38,minus(n6,n1))
& leq(n0,X39)
& leq(n0,X38)
& a_select3(q_ds1_filter,X38,X39) != a_select3(q_ds1_filter,X39,X38) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f194,definition,
( ~ sP13
| ? [X26] :
( leq(X26,minus(n6,n1))
& leq(n0,X26)
& ? [X27] :
( leq(X27,minus(n6,n1))
& leq(n0,X27)
& a_select3(id_ds1_filter,X26,X27) != a_select3(id_ds1_filter,X27,X26) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f195,definition,
( ~ sP14
| ? [X24,X25] :
( leq(X25,minus(n6,n1))
& leq(X24,minus(n6,n1))
& leq(n0,X25)
& leq(n0,X24)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X24,X25) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X25,X24) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f196,definition,
( ~ sP15
| ? [X22,X23] :
( leq(X23,minus(n6,n1))
& leq(X22,minus(n6,n1))
& leq(n0,X23)
& leq(n0,X22)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X22,X23) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X23,X22) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f197,definition,
( ~ sP16
| ? [X20,X21] :
( leq(X21,minus(n3,n1))
& leq(X20,minus(n3,n1))
& leq(n0,X21)
& leq(n0,X20)
& a_select3(r_ds1_filter,X20,X21) != a_select3(r_ds1_filter,X21,X20) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f198,definition,
( ~ sP17
| ? [X16] :
( leq(X16,minus(n6,n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f199,definition,
( ~ sP18
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X14,X15) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X15,X14) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f200,definition,
( ~ sP19
| ? [X12,X13] :
( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X12,X13) != a_select3(tptp_madd(q_ds1_filter,tptp_mmul(phi_ds1_filter,tptp_mmul(tptp_madd(tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),tptp_mmul(r_ds1_filter,trans(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter)))))))))),tptp_mmul(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)),tptp_mmul(pminus_ds1_filter,trans(tptp_msub(id_ds1_filter,tptp_mmul(tptp_mmul(pminus_ds1_filter,tptp_mmul(trans(h_ds1_filter),inv(tptp_madd(r_ds1_filter,tptp_mmul(h_ds1_filter,tptp_mmul(pminus_ds1_filter,trans(h_ds1_filter))))))),h_ds1_filter)))))),trans(phi_ds1_filter)))),X13,X12) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f201,definition,
( ~ sP20
| ? [X10,X11] :
( leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(r_ds1_filter,X10,X11) != a_select3(r_ds1_filter,X11,X10) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f202,definition,
( ~ sP21
| ( gt(pv5,n0)
& ( sP13
| sP14
| sP15
| sP16
| ? [X18,X19] :
( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f203,definition,
( ~ sP22
| ( gt(pv5,n0)
& ( sP12
| ( ~ gt(pv5,n0)
& ( sP8
| sP9
| sP10
| sP11
| ? [X28,X29] :
( leq(X29,minus(n6,n1))
& leq(X28,minus(n6,n1))
& leq(n0,X29)
& leq(n0,X28)
& a_select3(q_ds1_filter,X28,X29) != a_select3(q_ds1_filter,X29,X28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f204,plain,
( ! [X6] :
( ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6)
| ! [X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X7)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ( sP22
| ( ~ gt(pv5,n0)
& ( sP21
| ( ~ gt(pv5,n0)
& ( sP17
| sP18
| sP19
| sP20
| ? [X8,X9] :
( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8)
& a_select3(q_ds1_filter,X8,X9) != a_select3(q_ds1_filter,X9,X8) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ) ) ) ) ),
inference(definition_folding,[],[f163,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185]) ).
fof(f230,plain,
! [X5,X6] :
( ~ sP2(X5,X6)
| ? [X12,X13] :
( leq(X13,X6)
& leq(n0,X13)
& leq(X12,X6)
& leq(n0,X12)
& a_select3(X5,X12,X13) != a_select3(X5,X13,X12) ) ),
inference(nnf_transformation,[],[f182]) ).
fof(f231,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ? [X2,X3] :
( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2)
& a_select3(X0,X2,X3) != a_select3(X0,X3,X2) ) ),
inference(rectify,[],[f230]) ).
fof(f232,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ( leq(sK44(X0,X1),X1)
& leq(n0,sK44(X0,X1))
& leq(sK43(X0,X1),X1)
& leq(n0,sK43(X0,X1))
& a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X2,sK43(X0,X1)),skolemize(X3,sK44(X0,X1))],[f231]) ).
fof(f292,plain,
( ~ sP4
| ? [X46] :
( leq(X46,minus(n6,n1))
& leq(n0,X46)
& ? [X47] :
( leq(X47,minus(n6,n1))
& leq(n0,X47)
& a_select3(id_ds1_filter,X46,X47) != a_select3(id_ds1_filter,X47,X46) ) ) ),
inference(nnf_transformation,[],[f185]) ).
fof(f293,plain,
( ~ sP4
| ? [X0] :
( leq(X0,minus(n6,n1))
& leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ) ),
inference(rectify,[],[f292]) ).
fof(f294,plain,
( ~ sP4
| ( leq(sK86,minus(n6,n1))
& leq(n0,sK86)
& leq(sK87,minus(n6,n1))
& leq(n0,sK87)
& a_select3(id_ds1_filter,sK86,sK87) != a_select3(id_ds1_filter,sK87,sK86) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86,sK87]),skolemize(X0,sK86),skolemize(X1,sK87)],[f293]) ).
fof(f364,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| leq(sK44(X0,X1),X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f365,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| leq(n0,sK44(X0,X1)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| leq(sK43(X0,X1),X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f367,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| leq(n0,sK43(X0,X1)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f368,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f501,plain,
( ~ sP4
| leq(sK86,minus(n6,n1)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f502,plain,
( ~ sP4
| leq(n0,sK86) ),
inference(cnf_transformation,[],[f294]) ).
fof(f503,plain,
( ~ sP4
| leq(sK87,minus(n6,n1)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f504,plain,
( ~ sP4
| leq(n0,sK87) ),
inference(cnf_transformation,[],[f294]) ).
fof(f505,plain,
( ~ sP4
| a_select3(id_ds1_filter,sK86,sK87) != a_select3(id_ds1_filter,sK87,sK86) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X0,X1)
| ( a_select3(X0,sK43(X0,X1),sK44(X0,X1)) != a_select3(X0,sK44(X0,X1),sK43(X0,X1)) ) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( leq(n0,sK43(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( leq(sK43(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( leq(n0,sK44(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( leq(sK44(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_251,plain,
( ~ sP4
| ( a_select3(id_ds1_filter,sK86,sK87) != a_select3(id_ds1_filter,sK87,sK86) ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_252,plain,
( leq(n0,sK87)
| ~ sP4 ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_253,plain,
( leq(sK87,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_254,plain,
( leq(n0,sK86)
| ~ sP4 ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_255,plain,
( leq(sK86,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_44004,plain,
( leq(sK44(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP2(pminus_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_44005,plain,
( leq(n0,sK44(pminus_ds1_filter,minus(n6,n1)))
| ~ sP2(pminus_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_44006,plain,
( leq(sK43(pminus_ds1_filter,minus(n6,n1)),minus(n6,n1))
| ~ sP2(pminus_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_44007,plain,
( leq(n0,sK43(pminus_ds1_filter,minus(n6,n1)))
| ~ sP2(pminus_ds1_filter,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_44008,plain,
( ~ sP2(pminus_ds1_filter,minus(n6,n1))
| ( a_select3(pminus_ds1_filter,sK43(pminus_ds1_filter,minus(n6,n1)),sK44(pminus_ds1_filter,minus(n6,n1))) != a_select3(pminus_ds1_filter,sK44(pminus_ds1_filter,minus(n6,n1)),sK43(pminus_ds1_filter,minus(n6,n1))) ) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_89956,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_89955,c_84700,c_78826,c_68880,c_63517,c_61215,c_58023,c_54845,c_53479,c_52151,c_44004,c_44005,c_44006,c_44007,c_44008,c_42874,c_42875,c_42876,c_42877,c_42878,c_39472,c_39449,c_39424,c_39401,c_39376,c_36203,c_35633,c_31367,c_31269,c_31171,c_31073,c_30975,c_23587,c_23522,c_23457,c_23392,c_22539,c_10580,c_6168,c_5537,c_459,c_447,c_445,c_241,c_246,c_175,c_180,c_211,c_212,c_236,c_251,c_162,c_178,c_179,c_183,c_184,c_239,c_240,c_244,c_245,c_249,c_250,c_253,c_255,c_163,c_176,c_177,c_181,c_182,c_237,c_238,c_242,c_243,c_247,c_248,c_252,c_254,c_264,c_295,c_263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV118+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 18:33:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52
% 0.22/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52
% 0.22/0.52 % Detected problem language: tptp
% 0.22/0.54 % Proving...
% 118.32/16.72 % SZS status Started for theBenchmark.p
% 118.32/16.72 % SZS status Theorem for theBenchmark.p
% 118.32/16.72
% 118.32/16.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 118.32/16.72
% 118.32/16.72 % ------ iProver source info
% 118.32/16.72
% 118.32/16.72 % git: date: 2026-07-19 20:42:38 +0200
% 118.32/16.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 118.32/16.72 % git: non_committed_changes: false
% 118.32/16.72
% 118.32/16.72 % ------ Parsing...
% 118.32/16.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 118.32/16.72
% 118.32/16.72 % ------ Preprocessing...%
% 118.32/16.72
% 118.32/16.72 % ------ Preprocessing...%
% 118.32/16.72
% 118.32/16.72 % ------ Preprocessing...
% 118.32/16.72 % ------ Proving...
% 118.32/16.72 % ------ Problem Properties
% 118.32/16.72
% 118.32/16.72 %
% 118.32/16.72 % clauses 272
% 118.32/16.72 % conjectures 12
% 118.32/16.72 % EPR 104
% 118.32/16.72 % Horn 206
% 118.32/16.72 % unary 73
% 118.32/16.72 % binary 119
% 118.32/16.72 % lits 795
% 118.32/16.72 % lits eq 144
% 118.32/16.72 % fd_pure 0
% 118.32/16.72 % fd_pseudo 0
% 118.32/16.72 % fd_cond 7
% 118.32/16.72 % fd_pseudo_cond 4
% 118.32/16.72 % AC symbols 0
% 118.32/16.72
% 118.32/16.72 % ------ Input Options Time Limit: Unbounded
% 118.32/16.72
% 118.32/16.72
% 118.32/16.72 % ------
% 118.32/16.72 % Current options:
% 118.32/16.72 % ------
% 118.32/16.72
% 118.32/16.72
% 118.32/16.72 %
% 118.32/16.72
% 118.32/16.72 % ------ Proving...
% 118.32/16.72 %
% 118.32/16.72
% 118.32/16.72 % SZS status Theorem for theBenchmark.p
% 118.32/16.72
% 118.32/16.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 118.32/16.72
% 118.32/16.72
%------------------------------------------------------------------------------