TSTP Solution File: SWV118+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV118+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:19:57 EDT 2022
% Result : Unknown 3.77s 3.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV118+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:45:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.79/2.95 ----- Otter 3.3f, August 2004 -----
% 2.79/2.95 The process was started by sandbox on n015.cluster.edu,
% 2.79/2.95 Wed Jul 27 05:45:41 2022
% 2.79/2.95 The command was "./otter". The process ID is 23198.
% 2.79/2.95
% 2.79/2.95 set(prolog_style_variables).
% 2.79/2.95 set(auto).
% 2.79/2.95 dependent: set(auto1).
% 2.79/2.95 dependent: set(process_input).
% 2.79/2.95 dependent: clear(print_kept).
% 2.79/2.95 dependent: clear(print_new_demod).
% 2.79/2.95 dependent: clear(print_back_demod).
% 2.79/2.95 dependent: clear(print_back_sub).
% 2.79/2.95 dependent: set(control_memory).
% 2.79/2.95 dependent: assign(max_mem, 12000).
% 2.79/2.95 dependent: assign(pick_given_ratio, 4).
% 2.79/2.95 dependent: assign(stats_level, 1).
% 2.79/2.95 dependent: assign(max_seconds, 10800).
% 2.79/2.95 clear(print_given).
% 2.79/2.95
% 2.79/2.95 formula_list(usable).
% 2.79/2.95 all A (A=A).
% 2.79/2.95 all X Y (gt(X,Y)|gt(Y,X)|X=Y).
% 2.79/2.95 all X Y Z (gt(X,Y)>(Y,Z)->gt(X,Z)).
% 2.79/2.95 all X (-gt(X,X)).
% 2.79/2.95 all X le_q(X,X).
% 2.79/2.95 all X Y Z (le_q(X,Y)&le_q(Y,Z)->le_q(X,Z)).
% 2.79/2.95 all X Y (lt(X,Y)<->gt(Y,X)).
% 2.79/2.95 all X Y (ge_q(X,Y)<->le_q(Y,X)).
% 2.79/2.95 all X Y (gt(Y,X)->le_q(X,Y)).
% 2.79/2.95 all X Y (le_q(X,Y)&X!=Y->gt(Y,X)).
% 2.79/2.95 all X Y (le_q(X,pred(Y))<->gt(Y,X)).
% 2.79/2.95 all X gt(succ(X),X).
% 2.79/2.95 all X Y (le_q(X,Y)->le_q(X,succ(Y))).
% 2.79/2.95 all X Y (le_q(X,Y)<->gt(succ(Y),X)).
% 2.79/2.95 all X C (le_q(n0,X)->le_q(uniform_int_rnd(C,X),X)).
% 2.79/2.95 all X C (le_q(n0,X)->le_q(n0,uniform_int_rnd(C,X))).
% 2.79/2.95 all I L U Val (le_q(L,I)&le_q(I,U)->a_select2(tptp_const_array1(dim(L,U),Val),I)=Val).
% 2.79/2.95 all I L1 U1 J L2 U2 Val (le_q(L1,I)&le_q(I,U1)&le_q(L2,J)&le_q(J,U2)->a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J)=Val).
% 2.79/2.95 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(trans(A),I,J)=a_select3(trans(A),J,I)))).
% 2.79/2.95 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(inv(A),I,J)=a_select3(inv(A),J,I)))).
% 2.79/2.95 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J K VAL (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)&le_q(n0,K)&le_q(K,N)->a_select3(tptp_update3(A,K,K,VAL),I,J)=a_select3(tptp_update3(A,K,K,VAL),J,I)))).
% 2.79/2.95 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_madd(A,B),I,J)=a_select3(tptp_madd(A,B),J,I)))).
% 2.79/2.95 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_msub(A,B),I,J)=a_select3(tptp_msub(A,B),J,I)))).
% 2.79/2.95 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J)=a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)))).
% 2.79/2.95 all A B N M ((all I J (le_q(n0,I)&le_q(I,M)&le_q(n0,J)&le_q(J,M)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J)=a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)))).
% 2.79/2.95 all A B C D E F N M ((all I J (le_q(n0,I)&le_q(I,M)&le_q(n0,J)&le_q(J,M)->a_select3(D,I,J)=a_select3(D,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(F,I,J)=a_select3(F,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J)=a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I)))).
% 2.79/2.95 all Body (sum(n0,tptp_minus_1,Body)=n0).
% 2.79/2.95 all Body (tptp_float_0_0=sum(n0,tptp_minus_1,Body)).
% 2.79/2.95 succ(tptp_minus_1)=n0.
% 2.79/2.95 all X (plus(X,n1)=succ(X)).
% 2.79/2.95 all X (plus(n1,X)=succ(X)).
% 2.79/2.95 all X (plus(X,n2)=succ(succ(X))).
% 2.79/2.95 all X (plus(n2,X)=succ(succ(X))).
% 2.79/2.95 all X (plus(X,n3)=succ(succ(succ(X)))).
% 3.77/3.94 all X (plus(n3,X)=succ(succ(succ(X)))).
% 3.77/3.94 all X (plus(X,n4)=succ(succ(succ(succ(X))))).
% 3.77/3.94 all X (plus(n4,X)=succ(succ(succ(succ(X))))).
% 3.77/3.94 all X (plus(X,n5)=succ(succ(succ(succ(succ(X)))))).
% 3.77/3.94 all X (plus(n5,X)=succ(succ(succ(succ(succ(X)))))).
% 3.77/3.94 all X (minus(X,n1)=pred(X)).
% 3.77/3.94 all X (pred(succ(X))=X).
% 3.77/3.94 all X (succ(pred(X))=X).
% 3.77/3.94 all X Y (le_q(succ(X),succ(Y))<->le_q(X,Y)).
% 3.77/3.94 all X Y (le_q(succ(X),Y)->gt(Y,X)).
% 3.77/3.94 all X Y (le_q(minus(X,Y),X)->le_q(n0,Y)).
% 3.77/3.94 all X U V VAL (a_select3(tptp_update3(X,U,V,VAL),U,V)=VAL).
% 3.77/3.94 all I J U V X VAL VAL2 (I!=U&J=V&a_select3(X,U,V)=VAL->a_select3(tptp_update3(X,I,J,VAL2),U,V)=VAL).
% 3.77/3.94 all I J U V X VAL ((all I0 J0 (le_q(n0,I0)&le_q(n0,J0)&le_q(I0,U)&le_q(J0,V)->a_select3(X,I0,J0)=VAL))&le_q(n0,I)&le_q(I,U)&le_q(n0,J)&le_q(J,V)->a_select3(tptp_update3(X,U,V,VAL),I,J)=VAL).
% 3.77/3.94 all X U VAL (a_select2(tptp_update2(X,U,VAL),U)=VAL).
% 3.77/3.94 all I U X VAL VAL2 (I!=U&a_select2(X,U)=VAL->a_select2(tptp_update2(X,I,VAL2),U)=VAL).
% 3.77/3.94 all I U X VAL ((all I0 (le_q(n0,I0)&le_q(I0,U)->a_select2(X,I0)=VAL))&le_q(n0,I)&le_q(I,U)->a_select2(tptp_update2(X,U,VAL),I)=VAL).
% 3.77/3.94 true.
% 3.77/3.94 def!=use.
% 3.77/3.94 -(le_q(n0,pv5)&le_q(pv5,minus(n999,n1))& (all A B (le_q(n0,A)&le_q(n0,B)&le_q(A,minus(n6,n1))&le_q(B,minus(n6,n1))->a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A)))& (all C D (le_q(n0,C)&le_q(n0,D)&le_q(C,minus(n3,n1))&le_q(D,minus(n3,n1))->a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C)))& (all E F (le_q(n0,E)&le_q(n0,F)&le_q(E,minus(n6,n1))&le_q(F,minus(n6,n1))->a_select3(pminus_ds1_filter,E,F)=a_select3(pminus_ds1_filter,F,E)))& (all G (le_q(n0,G)&le_q(G,minus(n6,n1))-> (all H (le_q(n0,H)&le_q(H,minus(n6,n1))->a_select3(id_ds1_filter,G,H)=a_select3(id_ds1_filter,H,G)))))-> (-gt(pv5,n0)-> (-gt(pv5,n0)->le_q(n0,pv5)&le_q(pv5,minus(n999,n1))& (all I J (le_q(n0,I)&le_q(n0,J)&le_q(I,minus(n6,n1))&le_q(J,minus(n6,n1))->a_select3(q_ds1_filter,I,J)=a_select3(q_ds1_filter,J,I)))& (all K L (le_q(n0,K)&le_q(n0,L)&le_q(K,minus(n3,n1))&le_q(L,minus(n3,n1))->a_select3(r_ds1_filter,K,L)=a_select3(r_ds1_filter,L,K)))& (all M N (le_q(n0,M)&le_q(n0,N)&le_q(M,minus(n6,n1))&le_q(N,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)))),M,N)=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)))),N,M)))& (all O P (le_q(n0,O)&le_q(n0,P)&le_q(O,minus(n6,n1))&le_q(P,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)))),O,P)=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)))),P,O)))& (all Q (le_q(n0,Q)&le_q(Q,minus(n6,n1))-> (all R (le_q(n0,R)&le_q(R,minus(n6,n1))->a_select3(id_ds1_filter,Q,R)=a_select3(id_ds1_filter,R,Q))))))& (gt(pv5,n0)->le_q(n0,pv5)&le_q(pv5,minus(n999,n1))& (all S T (le_q(n0,S)&le_q(n0,T)&le_q(S,minus(n6,n1))&le_q(T,minus(n6,n1))->a_select3(q_ds1_filter,S,T)=a_select3(q_ds1_filter,T,S)))& (all U V (le_q(n0,U)&le_q(n0,V)&le_q(U,minus(n3,n1))&le_q(V,minus(n3,n1))->a_select3(r_ds1_filter,U,V)=a_select3(r_ds1_filter,V,U)))& (all W X (le_q(n0,W)&le_q(n0,X)&le_q(W,minus(n6,n1))&le_q(X,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)))),W,X)=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)))),X,W)))& (all Y Z (le_q(n0,Y)&le_q(n0,Z)&le_q(Y,minus(n6,n1))&le_q(Z,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)))),Y,Z)=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)))),Z,Y)))& (all A1 (le_q(n0,A1)&le_q(A1,minus(n6,n1))-> (all B1 (le_q(n0,B1)&le_q(B1,minus(n6,n1))->a_select3(id_ds1_filter,A1,B1)=a_select3(id_ds1_filter,B1,A1)))))))& (gt(pv5,n0)-> (-gt(pv5,n0)->le_q(n0,pv5)&le_q(pv5,minus(n999,n1))& (all C1 D1 (le_q(n0,C1)&le_q(n0,D1)&le_q(C1,minus(n6,n1))&le_q(D1,minus(n6,n1))->a_select3(q_ds1_filter,C1,D1)=a_select3(q_ds1_filter,D1,C1)))& (all E1 F1 (le_q(n0,E1)&le_q(n0,F1)&le_q(E1,minus(n3,n1))&le_q(F1,minus(n3,n1))->a_select3(r_ds1_filter,E1,F1)=a_select3(r_ds1_filter,F1,E1)))& (all G1 H1 (le_q(n0,G1)&le_q(n0,H1)&le_q(G1,minus(n6,n1))&le_q(H1,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))))))),G1,H1)=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))))))),H1,G1)))& (all I1 J1 (le_q(n0,I1)&le_q(n0,J1)&le_q(I1,minus(n6,n1))&le_q(J1,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))))))),I1,J1)=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))))))),J1,I1)))& (all K1 (le_q(n0,K1)&le_q(K1,minus(n6,n1))-> (all L1 (le_q(n0,L1)&le_q(L1,minus(n6,n1))->a_select3(id_ds1_filter,K1,L1)=a_select3(id_ds1_filter,L1,K1))))))& (gt(pv5,n0)->le_q(n0,pv5)&le_q(pv5,minus(n999,n1))& (all M1 N1 (le_q(n0,M1)&le_q(n0,N1)&le_q(M1,minus(n6,n1))&le_q(N1,minus(n6,n1))->a_select3(q_ds1_filter,M1,N1)=a_select3(q_ds1_filter,N1,M1)))& (all O1 P1 (le_q(n0,O1)&le_q(n0,P1)&le_q(O1,minus(n3,n1))&le_q(P1,minus(n3,n1))->a_select3(r_ds1_filter,O1,P1)=a_select3(r_ds1_filter,P1,O1)))& (all Q1 R1 (le_q(n0,Q1)&le_q(n0,R1)&le_q(Q1,minus(n6,n1))&le_q(R1,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))))))),Q1,R1)=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))))))),R1,Q1)))& (all S1 T1 (le_q(n0,S1)&le_q(n0,T1)&le_q(S1,minus(n6,n1))&le_q(T1,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))))))),S1,T1)=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)
% 3.77/3.94 Search stopped in tp_alloc by max_mem option.
% 3.77/3.94 ,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))))))),T1,S1)))& (all U1 (le_q(n0,U1)&le_q(U1,minus(n6,n1))-> (all V1 (le_q(n0,V1)&le_q(V1,minus(n6,n1))->a_select3(id_ds1_filter,U1,V1)=a_select3(id_ds1_filter,V1,U1)))))))).
% 3.77/3.94 gt(n5,n4).
% 3.77/3.94 gt(n6,n4).
% 3.77/3.94 gt(n400,n4).
% 3.77/3.94 gt(n999,n4).
% 3.77/3.94 gt(n6,n5).
% 3.77/3.94 gt(n400,n5).
% 3.77/3.94 gt(n999,n5).
% 3.77/3.94 gt(n400,n6).
% 3.77/3.94 gt(n999,n6).
% 3.77/3.94 gt(n4,tptp_minus_1).
% 3.77/3.94 gt(n5,tptp_minus_1).
% 3.77/3.94 gt(n6,tptp_minus_1).
% 3.77/3.94 gt(n400,tptp_minus_1).
% 3.77/3.94 gt(n999,tptp_minus_1).
% 3.77/3.94 gt(n0,tptp_minus_1).
% 3.77/3.94 gt(n1,tptp_minus_1).
% 3.77/3.94 gt(n2,tptp_minus_1).
% 3.77/3.94 gt(n3,tptp_minus_1).
% 3.77/3.94 gt(n999,n400).
% 3.77/3.94 gt(n4,n0).
% 3.77/3.94 gt(n5,n0).
% 3.77/3.94 gt(n6,n0).
% 3.77/3.94 gt(n400,n0).
% 3.77/3.94 gt(n999,n0).
% 3.77/3.94 gt(n1,n0).
% 3.77/3.94 gt(n2,n0).
% 3.77/3.94 gt(n3,n0).
% 3.77/3.94 gt(n4,n1).
% 3.77/3.94 gt(n5,n1).
% 3.77/3.94 gt(n6,n1).
% 3.77/3.94 gt(n400,n1).
% 3.77/3.94 gt(n999,n1).
% 3.77/3.94 gt(n2,n1).
% 3.77/3.94 gt(n3,n1).
% 3.77/3.94 gt(n4,n2).
% 3.77/3.94 gt(n5,n2).
% 3.77/3.94 gt(n6,n2).
% 3.77/3.94 gt(n400,n2).
% 3.77/3.94 gt(n999,n2).
% 3.77/3.94 gt(n3,n2).
% 3.77/3.94 gt(n4,n3).
% 3.77/3.94 gt(n5,n3).
% 3.77/3.94 gt(n6,n3).
% 3.77/3.94 gt(n400,n3).
% 3.77/3.94 gt(n999,n3).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n4)->X=n0|X=n1|X=n2|X=n3|X=n4).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n5)->X=n0|X=n1|X=n2|X=n3|X=n4|X=n5).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n6)->X=n0|X=n1|X=n2|X=n3|X=n4|X=n5|X=n6).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n0)->X=n0).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n1)->X=n0|X=n1).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n2)->X=n0|X=n1|X=n2).
% 3.77/3.94 all X (le_q(n0,X)&le_q(X,n3)->X=n0|X=n1|X=n2|X=n3).
% 3.77/3.94 succ(succ(succ(succ(n0))))=n4.
% 3.77/3.94 succ(succ(succ(succ(succ(n0)))))=n5.
% 3.77/3.94 succ(succ(succ(succ(succ(succ(n0))))))=n6.
% 3.77/3.94 succ(n0)=n1.
% 3.77/3.94 succ(succ(n0))=n2.
% 3.77/3.94 succ(succ(succ(n0)))=n3.
% 3.77/3.94 end_of_list.
% 3.77/3.94
% 3.77/3.94 Search stopped in tp_alloc by max_mem option.
% 3.77/3.94
% 3.77/3.94 ============ end of search ============
% 3.77/3.94
% 3.77/3.94 -------------- statistics -------------
% 3.77/3.94 clauses given 0
% 3.77/3.94 clauses generated 0
% 3.77/3.94 clauses kept 0
% 3.77/3.94 clauses forward subsumed 0
% 3.77/3.94 clauses back subsumed 0
% 3.77/3.94 Kbytes malloced 11718
% 3.77/3.94
% 3.77/3.94 ----------- times (seconds) -----------
% 3.77/3.94 user CPU time 1.00 (0 hr, 0 min, 1 sec)
% 3.77/3.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.77/3.94 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.77/3.94
% 3.77/3.94 Process 23198 finished Wed Jul 27 05:45:45 2022
% 3.77/3.94 Otter interrupted
% 3.77/3.94 PROOF NOT FOUND
%------------------------------------------------------------------------------